Pith Number

pith:5WWX2PVT

pith:2012:5WWX2PVTTUSEDUKYLBIC3QYZGW

not attested not anchored not stored refs pending

Explosion, implosion, and moments of passage times for continuous-time Markov chains: a semimartingale approach

Dimitri Petritis, Mikhail Menshikov

arxiv:1202.0952 v3 · 2012-02-05 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5WWX2PVTTUSEDUKYLBIC3QYZGW}

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	2026-05-18T02:47:51.255651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edad7d3eb39d2441d15858502dc31935b9f69ac93787b79095afdd3860785b6b

Aliases

arxiv: 1202.0952 · arxiv_version: 1202.0952v3 · doi: 10.48550/arxiv.1202.0952 · pith_short_12: 5WWX2PVTTUSE · pith_short_16: 5WWX2PVTTUSEDUKY · pith_short_8: 5WWX2PVT

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/5WWX2PVTTUSEDUKYLBIC3QYZGW \
  | 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: edad7d3eb39d2441d15858502dc31935b9f69ac93787b79095afdd3860785b6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1f11df33ef25facbf6368f945e9fd2342dbbcc7018f0300213898b2e4762d00",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-05T11:00:22Z",
    "title_canon_sha256": "8b75394cebb7044a46e569b98e85eea90eb3ef8a248a5c7b38b7831588d998b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0952",
    "kind": "arxiv",
    "version": 3
  }
}