Pith Number

pith:2BK2SXFF

pith:2023:2BK2SXFFAS2ZPFJG27R2XJS3PF

not attested not anchored not stored refs pending

Universal Murray's law for optimised fluid transport in synthetic structures

Bao-Lian Su, Binghan Zhou, Dongfang Liang, Eric Anthony Munro, Guolin Yun, Hidetoshi Matsumoto, Jinrui Chen, Julian Gardner, Luigi G. Occhipinti, Padmanathan Karthick Kannan, Qian Cheng, Tawfique Hasan, Tynee Bhowmick, Yoshiki Kawai, Zesheng Chen, Zhuo Chen

arxiv:2309.16567 v3 · 2023-09-28 · physics.app-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2BK2SXFFAS2ZPFJG27R2XJS3PF}

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	2026-07-05T08:07:58.394176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d055a95ca504b5979526d7e3aba65b797c9c6b3416fcad90dc95c11729db39bf

Aliases

arxiv: 2309.16567 · arxiv_version: 2309.16567v3 · doi: 10.48550/arxiv.2309.16567 · pith_short_12: 2BK2SXFFAS2Z · pith_short_16: 2BK2SXFFAS2ZPFJG · pith_short_8: 2BK2SXFF

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/2BK2SXFFAS2ZPFJG27R2XJS3PF \
  | 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: d055a95ca504b5979526d7e3aba65b797c9c6b3416fcad90dc95c11729db39bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e1dc13215f457d9b833f2f16ca293ce3178d977b04a6adc6bb5bb5465997b94",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.app-ph",
    "submitted_at": "2023-09-28T16:24:16Z",
    "title_canon_sha256": "40b85c7396681976b97e5666cbe9df720730f53364aa2744317037420345c655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.16567",
    "kind": "arxiv",
    "version": 3
  }
}