Saylor Innovations Fluid Flow:
Pipe velocity, Reynolds number, friction, pressure drop, pump power, Torricelli speed and buoyancy
The wallet the 402 directs payment to. Its whole payment record — every payer, every chain — is on the merchant page.
Asset 0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913
The payTo wallet does not resolve to a registered ERC-8004 agent. That is not a verdict on the service — most of the catalog is unregistered.
Live 402 challenge
Captured by the enrichment pass, not read just now. Prices can change — always read the 402 the endpoint answers with.
{
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"extra": {
"memo": "saylor:physics:fluids",
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"memo": "saylor:physics:fluids",
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"note": "Polygon settles through an x402 facilitator. Send payload.signature and payload.authorization (EIP-3009); there is no self-submitted path on this network.",
"version": "2",
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"version": "2",
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{
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"note": "Native SOL: send lamports with a system transfer, not an SPL transfer. Price is quoted live and this quote expires in 120s.",
"native": true,
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],
"resource": {
"url": "https://saylorinnovations.com/api/physics/fluids",
"tags": [
"physics",
"astronomy",
"kinematics",
"orbit",
"heat"
],
"iconUrl": "https://saylorinnovations.com/og-image.jpg",
"mimeType": "application/json",
"description": "Pipe velocity, Reynolds number, friction, pressure drop, pump power, Torricelli speed and buoyancy",
"serviceName": "Saylor Innovations Fluid Flow:"
},
"extensions": {
"bazaar": {
"info": {
"input": {
"type": "http",
"method": "GET",
"queryParams": {
"fluid": "water",
"flow_lpm": "60",
"length_m": "40",
"diameter_mm": "25",
"tank_head_m": "2",
"roughness_mm": "0.0015",
"height_gain_m": "3",
"object_density": "700",
"object_volume_l": "20",
"pump_efficiency_percent": "55"
}
},
"output": {
"type": "json",
"example": {
"pressure_drop_kpa": 69.4
}
}
},
"schema": {
"type": "object",
"$schema": "https://json-schema.org/draft/2020-12/schema",
"required": [
"input"
],
"properties": {
"input": {
"type": "object",
"required": [
"type",
"method"
],
"properties": {
"type": {
"type": "string",
"const": "http"
},
"method": {
"enum": [
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],
"type": "string"
},
"queryParams": {
"type": "object",
"required": [
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"flow_lpm"
],
"properties": {
"fluid": {
"type": "string",
"description": "optional water, seawater, oil, air, glycol, milk default water (query)"
},
"flow_lpm": {
"type": "string",
"description": "required flow rate in liters per minute (query)"
},
"length_m": {
"type": "string",
"description": "optional pipe length in m, default 10 (query)"
},
"diameter_mm": {
"type": "string",
"description": "required inside pipe diameter in mm (query)"
},
"tank_head_m": {
"type": "string",
"description": "optional height of fluid above an outlet for Torricelli speed (query)"
},
"roughness_mm": {
"type": "string",
"description": "optional absolute roughness, default 0.0015 for plastic (steel 0.045, concrete 0.3) (query)"
},
"height_gain_m": {
"type": "string",
"description": "optional elevation gain from inlet to outlet in m, default 0 (query)"
},
"object_density": {
"type": "string",
"description": "optional density of an object in kg/m3 for buoyancy (query)"
},
"object_volume_l": {
"type": "string",
"description": "optional object volume in liters (query)"
},
"pump_efficiency_percent": {
"type": "string",
"description": "optional pump efficiency, default 60 (query)"
}
}
}
},
"additionalProperties": false
},
"output": {
"type": "object",
"required": [
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],
"properties": {
"type": {
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"const": "json"
},
"example": {
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}
}
}
}
}
},
"method": "GET",
"example": {
"pressure_drop_kpa": 69.4
},
"license": "Saylor calculation; standard physics formulas, assumptions disclosed",
"mimeType": "application/json",
"freshness": "computed per request",
"tokenCount": null,
"description": "Pipe flow and fluid statics: from the pipe diameter and flow rate the velocity, the Reynolds number and flow regime (laminar, transitional, turbulent), the Darcy friction factor (Swamee-Jain or 64/Re), the pressure drop and head loss over a pipe length with a roughness value, the pump power needed with an efficiency, the static pressure of a fluid column, the Bernoulli exit pressure between two points of different height and diameter, the Torricelli outflow speed from a tank, and the buoyancy force with the fraction of an object that floats submerged.",
"inputSchema": {
"fluid": "optional water, seawater, oil, air, glycol, milk default water (query)",
"flow_lpm": "required flow rate in liters per minute (query)",
"length_m": "optional pipe length in m, default 10 (query)",
"diameter_mm": "required inside pipe diameter in mm (query)",
"tank_head_m": "optional height of fluid above an outlet for Torricelli speed (query)",
"roughness_mm": "optional absolute roughness, default 0.0015 for plastic (steel 0.045, concrete 0.3) (query)",
"height_gain_m": "optional elevation gain from inlet to outlet in m, default 0 (query)",
"object_density": "optional density of an object in kg/m3 for buoyancy (query)",
"object_volume_l": "optional object volume in liters (query)",
"pump_efficiency_percent": "optional pump efficiency, default 60 (query)"
},
"serviceName": "Saylor Innovations — Fluid Flow: Pipe Pressure Drop, Reynolds Number, Bernoulli and Buoyancy",
"instructions": "STANDARD PATH (works with stock x402 clients): send payload.transaction — a base64 partially-signed Solana transaction — and we route verify/settle through an x402 facilitator that sponsors the fee and submits it. Include the chosen accepts entry as \"accepted\" so we can match terms. ALTERNATIVE PATH (no facilitator): Pick ONE entry from accepts and use the reference and session from THAT entry — each asset has its own. USDC or USDT: send an SPL transfer of the exact amount. Native SOL (asset=So11111111111111111111111111111111111111112, extra.native=true): send that many lamports with a system transfer. Either way include extra.reference as a read-only account (Solana Pay style), then retry with PAYMENT-SIGNATURE: base64({x402Version:2, payload:{session, reference}}). If your client cannot attach a reference, send payload.signature instead (USDC only). SOL amounts are quoted live and expire in 120s; stablecoins do not move. The facilitator path verifies and settles in this request. Only the alternative self-submitted Solana path needs retries while the transfer is indexed (typically 3-4 attempts over 10-20s). On that path, a 402 saying \"payment not found on-chain yet\" means keep retrying.",
"outputSchema": {
"type": "object"
},
"noPathTemplate": true,
"settlementModes": [
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"typicalLatencyMs": 30
},
"x402Version": 2
}Accepts
The payment requirements as published to the catalog. Read the live 402 before paying — a price here is a claim, not a quote.
Pay 0.01 USDC on Base to 0xA2A8…fc8aa. The signed payment is good for 2 minutes.
- Paid to
- 0xA2A8…fc8aa
- USD Coin contract
- 0x8335…02913
- Payment window
- 2 minutes
- As published
- 10000 smallest units
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- 0xA2A8…fc8aa
- Token contract
- 0x3c49…c3359
- Payment window
- 2 minutes
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- 0xA2A8…fc8aa
- Token contract
- 0xaf88…e5831
- Payment window
- 2 minutes
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- 7LSjfr…Xacy7
- Token contract
- EPjFWd…TDt1v
- Payment window
- 2 minutes
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- 7LSjfr…Xacy7
- Token contract
- Es9vMF…nwNYB
- Payment window
- 2 minutes
That figure is in the token’s smallest units. Roundhouse does not hold this contract’s decimals, so it is shown as published rather than converted.
- Paid to
- 7LSjfr…Xacy7
- Token contract
- So1111…11112
- Payment window
- 2 minutes
The catalog’s raw entry
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"extra": {
"memo": "saylor:physics:fluids",
"name": "USD Coin",
"note": "Base settles through an x402 facilitator. Send payload.signature and payload.authorization (EIP-3009); there is no self-submitted path on this network.",
"version": "2",
"facilitatorOnly": true,
"assetTransferMethod": "eip3009"
},
"payTo": "0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa",
"amount": "10000",
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"network": "eip155:8453",
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},
{
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"extra": {
"memo": "saylor:physics:fluids",
"name": "USD Coin",
"note": "Polygon settles through an x402 facilitator. Send payload.signature and payload.authorization (EIP-3009); there is no self-submitted path on this network.",
"version": "2",
"facilitatorOnly": true,
"assetTransferMethod": "eip3009"
},
"payTo": "0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa",
"amount": "10000",
"scheme": "exact",
"network": "eip155:137",
"maxTimeoutSeconds": 120
},
{
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"extra": {
"memo": "saylor:physics:fluids",
"name": "USD Coin",
"note": "Arbitrum settles through an x402 facilitator. Send payload.signature and payload.authorization (EIP-3009); there is no self-submitted path on this network.",
"version": "2",
"facilitatorOnly": true,
"assetTransferMethod": "eip3009"
},
"payTo": "0xA2A8dF0f7CaaBEa4e120a2568118f141569fc8aa",
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"network": "eip155:42161",
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},
{
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},
"payTo": "7LSjfrJf8fNsB8VA9u7N3WEn25smQLpob3SvyUvXacy7",
"amount": "10000",
"scheme": "exact",
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{
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"payTo": "7LSjfrJf8fNsB8VA9u7N3WEn25smQLpob3SvyUvXacy7",
"amount": "10000",
"scheme": "exact",
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{
"asset": "So11111111111111111111111111111111111111112",
"extra": {
"memo": "saylor:physics:fluids",
"note": "Native SOL: send lamports with a system transfer, not an SPL transfer. Price is quoted live and this quote expires in 120s.",
"native": true,
"session": "eyJhcnRpY2xlSWQiOiJwaHlzaWNzOmZsdWlkcyIsInJlZmVyZW5jZSI6IjIxV0xDZjZmYkFuSFF3ekhnclhNelNjcEcxVWJxakdCUGI4ODJ3anBGRGVyIiwicmVjaXBpZW50IjoiN0xTamZySmY4Zk5zQjhWQTl1N04zV0VuMjVzbVFMcG9iM1N2eVV2WGFjeTciLCJtaW50IjpudWxsLCJtaW5BbW91bnQiOjk2NzE4LCJleHAiOjE3OTMwMDIzMTk0NTB9.02pOoeyj1e-_Vm-Kwsi8sd_hoAmREqzdGwyYbiTRoMo",
"reference": "21WLCf6fbAnHQwzHgrXMzScpG1UbqjGBPb882wjpFDer",
"solUsdPrice": 100.29,
"quotedLamports": "99710"
},
"payTo": "7LSjfrJf8fNsB8VA9u7N3WEn25smQLpob3SvyUvXacy7",
"amount": "96718",
"scheme": "exact",
"network": "solana:5eykt4UsFv8P8NJdTREpY1vzqKqZKvdp",
"maxTimeoutSeconds": 120
}
]Extensions
{
"bazaar": {
"info": {
"input": {
"type": "http",
"method": "GET",
"queryParams": {
"fluid": "water",
"flow_lpm": "60",
"length_m": "40",
"diameter_mm": "25",
"tank_head_m": "2",
"roughness_mm": "0.0015",
"height_gain_m": "3",
"object_density": "700",
"object_volume_l": "20",
"pump_efficiency_percent": "55"
}
},
"output": {
"type": "json",
"example": {
"pressure_drop_kpa": 69.4
}
}
},
"schema": {
"type": "object",
"$schema": "https://json-schema.org/draft/2020-12/schema",
"required": [
"input"
],
"properties": {
"input": {
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"required": [
"type",
"method"
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"properties": {
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"const": "http"
},
"method": {
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"GET"
],
"type": "string"
},
"queryParams": {
"type": "object",
"required": [
"diameter_mm",
"flow_lpm"
],
"properties": {
"fluid": {
"type": "string",
"description": "optional water, seawater, oil, air, glycol, milk default water (query)"
},
"flow_lpm": {
"type": "string",
"description": "required flow rate in liters per minute (query)"
},
"length_m": {
"type": "string",
"description": "optional pipe length in m, default 10 (query)"
},
"diameter_mm": {
"type": "string",
"description": "required inside pipe diameter in mm (query)"
},
"tank_head_m": {
"type": "string",
"description": "optional height of fluid above an outlet for Torricelli speed (query)"
},
"roughness_mm": {
"type": "string",
"description": "optional absolute roughness, default 0.0015 for plastic (steel 0.045, concrete 0.3) (query)"
},
"height_gain_m": {
"type": "string",
"description": "optional elevation gain from inlet to outlet in m, default 0 (query)"
},
"object_density": {
"type": "string",
"description": "optional density of an object in kg/m3 for buoyancy (query)"
},
"object_volume_l": {
"type": "string",
"description": "optional object volume in liters (query)"
},
"pump_efficiency_percent": {
"type": "string",
"description": "optional pump efficiency, default 60 (query)"
}
}
}
},
"additionalProperties": false
},
"output": {
"type": "object",
"required": [
"type"
],
"properties": {
"type": {
"type": "string",
"const": "json"
},
"example": {
"type": "object"
}
}
}
}
}
}
}Provenance
- Seen in the source catalog
- 2026-10-26 08:09Z
- Last indexed by Roundhouse
- 2026-10-26 20:30Z
- Last enriched (probe, favicon, geo)
- 2026-10-26 13:46Z
- x402 version
- 2
- Max timeout
- 120s
- Liveness probe
- HTTP 402
Hand this page to an agent
Copy the prompt and paste it into Claude, an MCP client or your own agent — it will vet this service and call it over the free read API. No key, no account.
GET api.roundhouseai.io/v0/endpoints
No per-endpoint history for this service yet, so this is payments indexed to its PROVIDER's wallet over 30 days. Verified volume counts only settlements with an on-chain EIP-3009 marker.
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Using Roundhouse, look up the x402 service Saylor Innovations Fluid Flow: and tell me whether it is worth paying: what a call costs, whether the endpoint answered when last probed, and what its payment record actually shows. curl -s 'https://api.roundhouseai.io/v0/endpoints?q=Saylor%20Innovations%20%20Fluid%20Flow%3A' curl -s 'https://api.roundhouseai.io/v0/merchants/<the payTo wallet returned above>' Then call it: read the price from the live 402 at https://saylorinnovations.com/api/physics/fluids, never from a cached figure, and pay with an x402 client. The /v0 API needs an API key (`authorization: Bearer rh_live_…`) on everything except /v0/unified* and /v0/endpoints. Either pay over x402 (mint a personal key for $0.01 at GET https://api.roundhouseai.io/v0/test/x402), or ask me for an organization key, which I create at https://roundhouseai.io/dashboard/connections. If you have neither, ask before going further. If you do not have Roundhouse tools or skills installed, read https://roundhouseai.io/skill.md first — it is the whole procedure.