Pith Number

pith:AGF4OLYL

pith:2013:AGF4OLYLJES7H4GSTR7VKWXEE4

not attested not anchored not stored refs pending

Critical case stochastic phylogenetic tree model via the Laplace transform

Krzysztof Bartoszek, Michal Krzeminski

arxiv:1304.7919 v1 · 2013-04-30 · 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{AGF4OLYLJES7H4GSTR7VKWXEE4}

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	2026-05-18T02:48:47.031761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

018bc72f0b4925f3f0d29c7f555ae42731e7339262296e40aabf64be2734e13a

Aliases

arxiv: 1304.7919 · arxiv_version: 1304.7919v1 · doi: 10.48550/arxiv.1304.7919 · pith_short_12: AGF4OLYLJES7 · pith_short_16: AGF4OLYLJES7H4GS · pith_short_8: AGF4OLYL

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/AGF4OLYLJES7H4GSTR7VKWXEE4 \
  | 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: 018bc72f0b4925f3f0d29c7f555ae42731e7339262296e40aabf64be2734e13a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ce347b7ad7e0b6a7fffe0257bcdb4d5df1e66bfdc1702813b2a9514a0639329",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-30T08:58:32Z",
    "title_canon_sha256": "dd5bb616ed124565bc80a44c0c7efd64301631599e937d23f85994ece95529fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7919",
    "kind": "arxiv",
    "version": 1
  }
}