Pith Number

pith:BJU3C3JY

pith:2019:BJU3C3JYI2OMS2FXXASWGHHYAZ

not attested not anchored not stored refs pending

Murray's law for discrete and continuum models of biological networks

Giulia Pilli, Jan Haskovec, Peter Markowich

arxiv:1908.01197 v1 · 2019-08-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJU3C3JYI2OMS2FXXASWGHHYAZ}

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	2026-07-04T23:51:27.902480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a69b16d38469cc968b7b825631cf806403304b569cc0a0035c1c3dd2c9cf563

Aliases

arxiv: 1908.01197 · arxiv_version: 1908.01197v1 · doi: 10.48550/arxiv.1908.01197 · pith_short_12: BJU3C3JYI2OM · pith_short_16: BJU3C3JYI2OMS2FX · pith_short_8: BJU3C3JY

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/BJU3C3JYI2OMS2FXXASWGHHYAZ \
  | 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: 0a69b16d38469cc968b7b825631cf806403304b569cc0a0035c1c3dd2c9cf563

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ecefbbed28c030797fa14a23d7e6f88505c736d6042ef9100a0b177845515ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-03T16:23:48Z",
    "title_canon_sha256": "6fdea2e7d6f4c9bb85da5e0ac8077ded486ce2244e5feccb6e289378d30424be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01197",
    "kind": "arxiv",
    "version": 1
  }
}