Pith Number

pith:Q3HIR5BX

pith:2025:Q3HIR5BXLDPN45WMC2Q3SWASX5

not attested not anchored not stored refs pending

Flow-Through Tensors: A Unified Computational Graph Architecture for Multi-Layer Transportation Network Optimization

Henan Zhu, Mostafa Ameli, Ram M. Pendyala, Taehooie Kim, Xuesong Zhou, Yudai Honma

arxiv:2507.02961 v2 · 2025-06-30 · math.OC · cs.AI · cs.CE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q3HIR5BXLDPN45WMC2Q3SWASX5}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-02T01:17:12.960393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86ce88f43758dede76cc16a1b95812bf6d9494a8b1201a8d94062baf83ee8645

Aliases

arxiv: 2507.02961 · arxiv_version: 2507.02961v2 · doi: 10.48550/arxiv.2507.02961 · pith_short_12: Q3HIR5BXLDPN · pith_short_16: Q3HIR5BXLDPN45WM · pith_short_8: Q3HIR5BX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Q3HIR5BXLDPN45WMC2Q3SWASX5 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 86ce88f43758dede76cc16a1b95812bf6d9494a8b1201a8d94062baf83ee8645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d5837ff16489da33eb234095ec9e19a0a2460f96eb7a06667be4d784003a249",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-30T06:42:23Z",
    "title_canon_sha256": "68b4e2b8004c4a4cf0462a5569705738ed37463e13fbaac156a00a26002113aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02961",
    "kind": "arxiv",
    "version": 2
  }
}