Pith Number

pith:QYOHKPPG

pith:2012:QYOHKPPGJDMKJU3LL4WZQDHCPF

not attested not anchored not stored refs pending

Critical population and error threshold on the sharp peak landscape for the Wright-Fisher model

Rapha\"el Cerf

arxiv:1207.0673 v2 · 2012-07-03 · 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{QYOHKPPGJDMKJU3LL4WZQDHCPF}

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	2026-05-18T01:09:28.488479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

861c753de648d8a4d36b5f2d980ce27973a2b2da40660c3d637833c0cdfd07c5

Aliases

arxiv: 1207.0673 · arxiv_version: 1207.0673v2 · doi: 10.48550/arxiv.1207.0673 · pith_short_12: QYOHKPPGJDMK · pith_short_16: QYOHKPPGJDMKJU3L · pith_short_8: QYOHKPPG

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/QYOHKPPGJDMKJU3LL4WZQDHCPF \
  | 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: 861c753de648d8a4d36b5f2d980ce27973a2b2da40660c3d637833c0cdfd07c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9446cbb405a5d95151c1e81d0eb22ffdd4c592f0103dcb87cd8a925a602ee1dc",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-03T13:39:41Z",
    "title_canon_sha256": "d2f3806224c0abc0a5e3cd55d51c29a6c6ad1279a5cb87edf5ba5fef13f9d6a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0673",
    "kind": "arxiv",
    "version": 2
  }
}