Pith Number

pith:FOHV6HM2

pith:2026:FOHV6HM2WMEDEB2ACSVMT5KOE3

not attested not anchored not stored refs pending

Beyond Murray's Law: Non-Universal Branching Exponents from Vessel-Wall Metabolic Costs

Riccardo Marchesi

arxiv:2603.13687 v3 · 2026-03-14 · physics.bio-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOHV6HM2WMEDEB2ACSVMT5KOE3}

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.

Cited by

2 papers in Pith

The Incommensurability Principle in Biological Transport

The Dynamic Origin of Kleiber's Law

Receipt and verification

First computed	2026-05-29T01:05:06.902356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b8f5f1d9ab30832074014aac9f54e26fbc925a0d5c10ea6f420b51c8dfd04bc

Aliases

arxiv: 2603.13687 · arxiv_version: 2603.13687v3 · doi: 10.48550/arxiv.2603.13687 · pith_short_12: FOHV6HM2WMED · pith_short_16: FOHV6HM2WMEDEB2A · pith_short_8: FOHV6HM2

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/FOHV6HM2WMEDEB2ACSVMT5KOE3 \
  | 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: 2b8f5f1d9ab30832074014aac9f54e26fbc925a0d5c10ea6f420b51c8dfd04bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb127d125c65c53e973c66ea4e3f7355c460e68bee866d78f14baf5e91633249",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2026-03-14T01:46:56Z",
    "title_canon_sha256": "768d30a392724e95f1581dd41cb0488650b2b6269c4eda0bc48d4fc24cfbaa8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.13687",
    "kind": "arxiv",
    "version": 3
  }
}