Pith Number

pith:VOV7JAGX

pith:2013:VOV7JAGXHXYKGRQE2ZKFLOJSGP

not attested not anchored not stored refs pending

Descriptive complexity of countable unions of Borel rectangles

Dominique Lecomte (IMJ), Miroslav Zeleny

arxiv:1308.4540 v1 · 2013-08-21 · math.LO · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOV7JAGXHXYKGRQE2ZKFLOJSGP}

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	2026-05-18T03:15:21.730561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ababf480d73df0a34604d65455b93233fec4b2d3a2a9a719b27688d63b3fef8c

Aliases

arxiv: 1308.4540 · arxiv_version: 1308.4540v1 · doi: 10.48550/arxiv.1308.4540 · pith_short_12: VOV7JAGXHXYK · pith_short_16: VOV7JAGXHXYKGRQE · pith_short_8: VOV7JAGX

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/VOV7JAGXHXYKGRQE2ZKFLOJSGP \
  | 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: ababf480d73df0a34604d65455b93233fec4b2d3a2a9a719b27688d63b3fef8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f251c34341f01d98823468edae80b7c08df72b589d9186238e8fdadfda3ea3f9",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-08-21T11:18:49Z",
    "title_canon_sha256": "c403a4bcf74eeb086884f01928afd2ec23fb1b2c6ab8dee743c32d4fa6894948"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4540",
    "kind": "arxiv",
    "version": 1
  }
}