Pith Number

pith:OL53Z4SM

pith:2013:OL53Z4SM7DUN4WYEXCUUKDIVQM

not attested not anchored not stored refs pending

Acceptance conditions for omega-languages and the Borel hierarchy

Alberto Dennunzio, Enrico Formenti, Julien Cervelle, Julien Provillard

arxiv:1310.5032 v1 · 2013-10-18 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OL53Z4SM7DUN4WYEXCUUKDIVQM}

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	2026-05-18T03:10:01.398943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72fbbcf24cf8e8de5b04b8a9450d15830bdc8a300999e02f62f90e10dc093900

Aliases

arxiv: 1310.5032 · arxiv_version: 1310.5032v1 · doi: 10.48550/arxiv.1310.5032 · pith_short_12: OL53Z4SM7DUN · pith_short_16: OL53Z4SM7DUN4WYE · pith_short_8: OL53Z4SM

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/OL53Z4SM7DUN4WYEXCUUKDIVQM \
  | 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: 72fbbcf24cf8e8de5b04b8a9450d15830bdc8a300999e02f62f90e10dc093900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91f0ec425d1718b555faaa3ca829282c41a2fb0a1e048b452338a5f418710728",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2013-10-18T14:23:23Z",
    "title_canon_sha256": "bbb71800685d486a486ce38339577da2051a9d797e60d6ba9f4af697ac148e31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5032",
    "kind": "arxiv",
    "version": 1
  }
}