Pith Number

pith:CHTYNYHK

pith:2011:CHTYNYHKTFAEPU7MUDK2KEJ2TN

not attested not anchored not stored refs pending

Approximate sampling formulae for general finite-alleles models of mutation

Anand Bhaskar, John A. Kamm, Yun S. Song

arxiv:1109.2386 v3 · 2011-09-12 · 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{CHTYNYHKTFAEPU7MUDK2KEJ2TN}

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	2026-05-18T03:50:23.031788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11e786e0ea994047d3eca0d5a5113a9b6dc2ead46ec5faeb23770f74063cb5eb

Aliases

arxiv: 1109.2386 · arxiv_version: 1109.2386v3 · doi: 10.48550/arxiv.1109.2386 · pith_short_12: CHTYNYHKTFAE · pith_short_16: CHTYNYHKTFAEPU7M · pith_short_8: CHTYNYHK

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/CHTYNYHKTFAEPU7MUDK2KEJ2TN \
  | 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: 11e786e0ea994047d3eca0d5a5113a9b6dc2ead46ec5faeb23770f74063cb5eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4b55cbdee9664629356cb2ec3a0685a526aee7ee0575edb8fa2d616ef80722f",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-12T07:22:05Z",
    "title_canon_sha256": "4bddac30a13771027b0b15c7a0a1cdd988b1b15a877cf9499fa68f3a2357b9a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2386",
    "kind": "arxiv",
    "version": 3
  }
}