Pith Number

pith:LE65NJO6

pith:2015:LE65NJO6JVGKDMEU36RIJ3CCG2

not attested not anchored not stored refs pending

Computing cutoff times of birth and death chains

Guan-Yu Chen, Laurent Saloff-Coste

arxiv:1502.00361 v1 · 2015-02-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE65NJO6JVGKDMEU36RIJ3CCG2}

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	2026-05-18T02:28:06.170275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

593dd6a5de4d4ca1b094dfa284ec423686ee27dae94861b43991e7a04ccb34ac

Aliases

arxiv: 1502.00361 · arxiv_version: 1502.00361v1 · doi: 10.48550/arxiv.1502.00361 · pith_short_12: LE65NJO6JVGK · pith_short_16: LE65NJO6JVGKDMEU · pith_short_8: LE65NJO6

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/LE65NJO6JVGKDMEU36RIJ3CCG2 \
  | 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: 593dd6a5de4d4ca1b094dfa284ec423686ee27dae94861b43991e7a04ccb34ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c936f9069f8ac1243167b795a8436f719716cdfcf9278a29d45a1821b2718b47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-02T05:12:03Z",
    "title_canon_sha256": "2f248a92e4dc29343aee26baedca2f138c7798bcf1f04ec4a8bd82866bf3e893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00361",
    "kind": "arxiv",
    "version": 1
  }
}