Pith Number

pith:2M5IBEXM

pith:2010:2M5IBEXMBKOYFN6FDDJ5IT4KDE

not attested not anchored not stored refs pending

On-the-fly Uniformization of Time-Inhomogeneous Infinite Markov Population Models

Aleksandr Andreychenko, Linar Mikeev, Pepijn Crouzen, Verena Wolf

arxiv:1006.4425 v3 · 2010-06-23 · math.PR · cs.CE · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2M5IBEXMBKOYFN6FDDJ5IT4KDE}

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	2026-05-18T04:18:22.455267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d33a8092ec0a9d82b7c518d3d44f8a192e94419bd5c7059c4d3e1c238379e05c

Aliases

arxiv: 1006.4425 · arxiv_version: 1006.4425v3 · doi: 10.48550/arxiv.1006.4425 · pith_short_12: 2M5IBEXMBKOY · pith_short_16: 2M5IBEXMBKOYFN6F · pith_short_8: 2M5IBEXM

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/2M5IBEXMBKOYFN6FDDJ5IT4KDE \
  | 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: d33a8092ec0a9d82b7c518d3d44f8a192e94419bd5c7059c4d3e1c238379e05c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c155ed66cea549cf4768ca8cecbbeedb098b157d3cd1c0c11bfcedc25da8aa9f",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-06-23T06:44:20Z",
    "title_canon_sha256": "1d4d8cfcd7b0da32510319767edbe0520ad05062c40c58b9249a99a4f8c79497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4425",
    "kind": "arxiv",
    "version": 3
  }
}