Pith Number

pith:FFNKKI6G

pith:2025:FFNKKI6GDAZ2XCFVLVEYD22OPH

not attested not anchored not stored refs pending

Exactly Solvable Population Model with Square-Root Growth Noise and Cell-Size Regulation

Farshid Jafarpour

arxiv:2512.05190 v2 · 2025-12-04 · q-bio.PE · cond-mat.stat-mech · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFNKKI6GDAZ2XCFVLVEYD22OPH}

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	2026-06-30T01:17:30.228762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295aa523c61833ab88b55d4981eb4e79d0d624fab27a2f6872aa6e1a8e892817

Aliases

arxiv: 2512.05190 · arxiv_version: 2512.05190v2 · doi: 10.48550/arxiv.2512.05190 · pith_short_12: FFNKKI6GDAZ2 · pith_short_16: FFNKKI6GDAZ2XCFV · pith_short_8: FFNKKI6G

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/FFNKKI6GDAZ2XCFVLVEYD22OPH \
  | 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: 295aa523c61833ab88b55d4981eb4e79d0d624fab27a2f6872aa6e1a8e892817

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ce2927e3b65fef7562b920b6063d3e9afe43d5fa54984509cf35b9bc99969e1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2025-12-04T19:00:05Z",
    "title_canon_sha256": "6ae85cae20af456cfbc8d24cc6e2ab581ce9bdab77518d9a440aa2a58591d644"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.05190",
    "kind": "arxiv",
    "version": 2
  }
}