Pith Number

pith:KFRCDQFO

pith:2012:KFRCDQFOY776OO2QHWIPQQBFQK

not attested not anchored not stored refs pending

A new proof for the convergence of an individual based model to the Trait substitution sequence

Ankit Gupta (CMAP), J.A.J. Metz, LPP), Viet Chi Tran (CMAP

arxiv:1203.2361 v2 · 2012-03-11 · math.PR · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KFRCDQFOY776OO2QHWIPQQBFQK}

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	2026-05-18T02:51:23.678389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

516221c0aec7ffe73b503d90f8402582becac269205755e23e25980708cbc6dd

Aliases

arxiv: 1203.2361 · arxiv_version: 1203.2361v2 · doi: 10.48550/arxiv.1203.2361 · pith_short_12: KFRCDQFOY776 · pith_short_16: KFRCDQFOY776OO2Q · pith_short_8: KFRCDQFO

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/KFRCDQFOY776OO2QHWIPQQBFQK \
  | 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: 516221c0aec7ffe73b503d90f8402582becac269205755e23e25980708cbc6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7905d30f9a66886beaac2bdc64ab06b491f7d4a315daf32061b7c15c9ab48820",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-11T19:11:18Z",
    "title_canon_sha256": "29a6bf173b66c66dfb617bd41fd56a96d8a40cd762daf74ccfcb69f34c49cef0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2361",
    "kind": "arxiv",
    "version": 2
  }
}