Pith Number

pith:EAF6W6I2

pith:2025:EAF6W6I2F44UFG6P3XO3OKD7FJ

not attested not anchored not stored refs pending

Unveiling Biological Models Through Turing Patterns

Catharine W. K. Lo, Hongyu Liu, Yuhan Li

arxiv:2509.07458 v1 · 2025-09-09 · math.AP · physics.bio-ph · q-bio.BM · q-bio.CB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EAF6W6I2F44UFG6P3XO3OKD7FJ}

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

1 paper in Pith

Recovering the initial condition and physical coefficients in a nonlinear PDE model of cell invasion

Receipt and verification

First computed	2026-07-05T12:07:21.734273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

200beb791a2f39429bcfddddb7287f2a6176499c8c70175ec3f1890aaac6dd71

Aliases

arxiv: 2509.07458 · arxiv_version: 2509.07458v1 · doi: 10.48550/arxiv.2509.07458 · pith_short_12: EAF6W6I2F44U · pith_short_16: EAF6W6I2F44UFG6P · pith_short_8: EAF6W6I2

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/EAF6W6I2F44UFG6P3XO3OKD7FJ \
  | 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: 200beb791a2f39429bcfddddb7287f2a6176499c8c70175ec3f1890aaac6dd71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8670307a859666f693d48ace271e66775d87ffab01774f8277018b01ee07dde",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "q-bio.BM",
      "q-bio.CB"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-09-09T07:26:36Z",
    "title_canon_sha256": "85e6f42dad2be8539ce10197c6e63091e9dcbf42097a737c9e2d3a9632c6d759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07458",
    "kind": "arxiv",
    "version": 1
  }
}