Pith Number

pith:PETUJ52Q

pith:2023:PETUJ52QXM45L6D7ZFN5XCSUZN

not attested not anchored not stored refs pending

Absolute continuity, supports and idempotent splitting in categorical probability

Antonio Lorenzin, Dario Stein, Paolo Perrone, Tobias Fritz, Tom\'a\v{s} Gonda

arxiv:2308.00651 v5 · 2023-08-01 · math.PR · cs.LO · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PETUJ52QXM45L6D7ZFN5XCSUZN}

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	2026-06-19T16:09:45.316727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792744f750bb39d5f87fc95bdb8a54cb58c3a3e7ea8aa85f32f0c0fccbc30742

Aliases

arxiv: 2308.00651 · arxiv_version: 2308.00651v5 · doi: 10.48550/arxiv.2308.00651 · pith_short_12: PETUJ52QXM45 · pith_short_16: PETUJ52QXM45L6D7 · pith_short_8: PETUJ52Q

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/PETUJ52QXM45L6D7ZFN5XCSUZN \
  | 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: 792744f750bb39d5f87fc95bdb8a54cb58c3a3e7ea8aa85f32f0c0fccbc30742

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0000238ddabd48e800c766a826c03d25c0db358ca611dd6dab1ab18e48de1558",
    "cross_cats_sorted": [
      "cs.LO",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-08-01T16:36:01Z",
    "title_canon_sha256": "6098bfd85b38e9af1618012cd5038bff200bf527d34c510ab00a4c5948faaa67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.00651",
    "kind": "arxiv",
    "version": 5
  }
}