Pith Number

pith:KGNPZG7H

pith:2012:KGNPZG7HU3T3NZ367M5NES2K6C

not attested not anchored not stored refs pending

Persistent random walks, variable length Markov chains and piecewise deterministic Markov processes

Brigitte Chauvin, Peggy C\'enac, Pierre Vallois, Samuel Herrmann

arxiv:1208.3358 v1 · 2012-08-16 · 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{KGNPZG7HU3T3NZ367M5NES2K6C}

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	2026-05-18T03:48:36.097715Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519afc9be7a6e7b6e77efb3ad24b4af09ee618b2e11ebf101c56106923aa2acb

Aliases

arxiv: 1208.3358 · arxiv_version: 1208.3358v1 · doi: 10.48550/arxiv.1208.3358 · pith_short_12: KGNPZG7HU3T3 · pith_short_16: KGNPZG7HU3T3NZ36 · pith_short_8: KGNPZG7H

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/KGNPZG7HU3T3NZ367M5NES2K6C \
  | 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: 519afc9be7a6e7b6e77efb3ad24b4af09ee618b2e11ebf101c56106923aa2acb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2198cf440136f9a49983dbd501946fdbea0a9249124ff36a5d99cb39478611",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-08-16T12:55:41Z",
    "title_canon_sha256": "fa07f1a286f351f9f3c8ca4a08bdbbb720822c6d80fac164222db35f8a9a97c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3358",
    "kind": "arxiv",
    "version": 1
  }
}