Pith Number

pith:NW6ZPK5H

pith:2018:NW6ZPK5HGTETS5K45NVQLO7IS4

not attested not anchored not stored refs pending

Characterization of stationary probability measures for Variable Length Markov Chains

Brigitte Chauvin, Fr\'ed\'eric Paccaut, Nicolas Pouyanne, Peggy C\'enac

arxiv:1807.01075 v1 · 2018-07-03 · 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{NW6ZPK5HGTETS5K45NVQLO7IS4}

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	2026-05-18T00:11:45.443881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dbd97aba734c939755ceb6b05bbe897347a2b89b449e16ac7ce2c45d31f4e52

Aliases

arxiv: 1807.01075 · arxiv_version: 1807.01075v1 · doi: 10.48550/arxiv.1807.01075 · pith_short_12: NW6ZPK5HGTET · pith_short_16: NW6ZPK5HGTETS5K4 · pith_short_8: NW6ZPK5H

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/NW6ZPK5HGTETS5K45NVQLO7IS4 \
  | 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: 6dbd97aba734c939755ceb6b05bbe897347a2b89b449e16ac7ce2c45d31f4e52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c762b344dd99295ab95d20c5410f30351b9892f142416543c405e6a9c9e4efe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-03T10:51:26Z",
    "title_canon_sha256": "568c9892273f25da5572213bc8dee64254c947023ae36eec75e83e116dfbbaf2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.01075",
    "kind": "arxiv",
    "version": 1
  }
}