pith. sign in
Pith Number

pith:OTFSFEZW

pith:2010:OTFSFEZW7D6SSYEOQVUJZUPGLW
not attested not anchored not stored refs pending

There's plenty of time for evolution

Herbert S. Wilf, Warren J. Ewens

arxiv:1010.5178 v1 · 2010-10-25 · math.PR · q-bio.OT · q-bio.PE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OTFSFEZW7D6SSYEOQVUJZUPGLW}

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 2026-05-18T02:04:58.811532Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

74cb229336f8fd29608e85689cd1e65d95dce49083119c789e53b3649f284410

Aliases

arxiv: 1010.5178 · arxiv_version: 1010.5178v1 · doi: 10.48550/arxiv.1010.5178 · pith_short_12: OTFSFEZW7D6S · pith_short_16: OTFSFEZW7D6SSYEO · pith_short_8: OTFSFEZW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OTFSFEZW7D6SSYEOQVUJZUPGLW \
  | 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: 74cb229336f8fd29608e85689cd1e65d95dce49083119c789e53b3649f284410
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "82327b5e2680ad9cb0e837adbca23359faf0584ebf0f5b001f35403b1f844af2",
    "cross_cats_sorted": [
      "q-bio.OT",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-25T16:17:27Z",
    "title_canon_sha256": "a4dd4610676f4879830b40b6c27f9a9ed7468d7a1101a92728b3b7e699198bae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5178",
    "kind": "arxiv",
    "version": 1
  }
}