Pith Number

pith:IZIW2J3C

pith:2023:IZIW2J3CZJ6XR7OA3M7XSCAF7X

not attested not anchored not stored refs pending

Categorical probability spaces, ergodic decompositions, and transitions to equilibrium

No\'e Ensarguet, Paolo Perrone

arxiv:2310.04267 v4 · 2023-10-06 · math.PR · cs.LO · math.CT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZIW2J3CZJ6XR7OA3M7XSCAF7X}

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.

Cited by

1 paper in Pith

Partializations of Markov categories

Receipt and verification

First computed	2026-07-05T11:47:55.862275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46516d2762ca7d78fdc0db3f790805fddaf2131bb213e0b4d4bd250ec3e57472

Aliases

arxiv: 2310.04267 · arxiv_version: 2310.04267v4 · doi: 10.48550/arxiv.2310.04267 · pith_short_12: IZIW2J3CZJ6X · pith_short_16: IZIW2J3CZJ6XR7OA · pith_short_8: IZIW2J3C

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/IZIW2J3CZJ6XR7OA3M7XSCAF7X \
  | 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: 46516d2762ca7d78fdc0db3f790805fddaf2131bb213e0b4d4bd250ec3e57472

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fcb546e6cf9122d4428bfca42627d14d9c17101eb412631cfed67352a8877e3",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-10-06T14:11:43Z",
    "title_canon_sha256": "2a807f1cde80c53111a53905aac4f922b5cca94bad09130225f86e5e3fe30df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.04267",
    "kind": "arxiv",
    "version": 4
  }
}