Pith Number

pith:H27TIXMG

pith:2022:H27TIXMG2CVPKO6SE3F7ULHC3C

not attested not anchored not stored refs pending

The statistical theory of the angiogenesis equations

Bj\"orn Birnir (CNLS, Department of Mathematics, Department of Mathematics Universidad de Carlos III, Filippo Terragni (G. Mill\'an Institute, Luis Bonilla, Madrid, Manuel Carretero, Spain), UC Santa Barbara, USA)

arxiv:2210.15584 v1 · 2022-10-27 · math.AP · math-ph · math.MP · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H27TIXMG2CVPKO6SE3F7ULHC3C}

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	2026-07-05T05:11:07.961838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ebf345d86d0aaf53bd226cbfa2ce2d8a41ae2c41827a5108c8805d25660736e

Aliases

arxiv: 2210.15584 · arxiv_version: 2210.15584v1 · doi: 10.48550/arxiv.2210.15584 · pith_short_12: H27TIXMG2CVP · pith_short_16: H27TIXMG2CVPKO6S · pith_short_8: H27TIXMG

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/H27TIXMG2CVPKO6SE3F7ULHC3C \
  | 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: 3ebf345d86d0aaf53bd226cbfa2ce2d8a41ae2c41827a5108c8805d25660736e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c8ae3b6064b93968307942d8cd58b2daaf470f398af586fd1c9506fb4921acf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.PS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-10-27T16:18:10Z",
    "title_canon_sha256": "d23ed84ce9c70121cc364706befba8fea986f678942587e8048f157adc87435e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.15584",
    "kind": "arxiv",
    "version": 1
  }
}