Pith Number

pith:CRI4YUGM

pith:2009:CRI4YUGMPULTFFHUEO2ISQBK2W

not attested not anchored not stored refs pending

Statistical stability and continuity of SRB entropy for systems with Gibbs-Markov structures

Jorge Milhazes Freitas, Jose F. Alves, Maria Carvalho

arxiv:0905.1165 v1 · 2009-05-08 · math.DS · math-ph · math.MP

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

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	2026-05-18T02:13:46.528748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1451cc50cc7d173294f423b489402ad580d97bb93a24c543134891d80b2fa514

Aliases

arxiv: 0905.1165 · arxiv_version: 0905.1165v1 · doi: 10.48550/arxiv.0905.1165 · pith_short_12: CRI4YUGMPULT · pith_short_16: CRI4YUGMPULTFFHU · pith_short_8: CRI4YUGM

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/CRI4YUGMPULTFFHUEO2ISQBK2W \
  | 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: 1451cc50cc7d173294f423b489402ad580d97bb93a24c543134891d80b2fa514

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba7827d799bfdf20c0ab3e19bfc18345234dc50024d2a0844a7498a0078d981f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-05-08T02:21:34Z",
    "title_canon_sha256": "0a48984c037d749a27127da84715cbe603a0c32087655e7e72e82bc5bca2bf7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.1165",
    "kind": "arxiv",
    "version": 1
  }
}