Pith Number

pith:JMR7KUMZ

pith:2010:JMR7KUMZCCFWWPV7IBWLAXNCBA

not attested not anchored not stored refs pending

Markov Chains and Dynamical Systems: The Open System Point of View

St\'ephane Attal (ICJ)

arxiv:1010.2894 v1 · 2010-10-14 · math.PR · math-ph · math.DS · 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{JMR7KUMZCCFWWPV7IBWLAXNCBA}

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	2026-05-18T04:39:18.016845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b23f55199108b6b3ebf406cb05da2082bdca0df08fbecf38425af82e8b804ed

Aliases

arxiv: 1010.2894 · arxiv_version: 1010.2894v1 · doi: 10.48550/arxiv.1010.2894 · pith_short_12: JMR7KUMZCCFW · pith_short_16: JMR7KUMZCCFWWPV7 · pith_short_8: JMR7KUMZ

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/JMR7KUMZCCFWWPV7IBWLAXNCBA \
  | 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: 4b23f55199108b6b3ebf406cb05da2082bdca0df08fbecf38425af82e8b804ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "169a2ea9e595cd08aa3028ac0839963569fd92d802773f982f4a07a17744c849",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-14T13:04:19Z",
    "title_canon_sha256": "81548ee6e99d990f2e90c0bbc22ba87f7ac06e1bbdf62d7120b0cb5f519fb695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2894",
    "kind": "arxiv",
    "version": 1
  }
}