Pith Number

pith:JTZNXOPW

pith:2010:JTZNXOPWQSJ2IE34F33EFO4IQM

not attested not anchored not stored refs pending

Orientability thresholds for random hypergraphs

Nicholas Wormald, Pu Gao

arxiv:1009.5489 v1 · 2010-09-28 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTZNXOPWQSJ2IE34F33EFO4IQM}

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	2026-05-18T01:36:16.080051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf2dbb9f68493a4137c2ef642bb88833f13a447d866c99f983cbd1f7ca462a9

Aliases

arxiv: 1009.5489 · arxiv_version: 1009.5489v1 · doi: 10.48550/arxiv.1009.5489 · pith_short_12: JTZNXOPWQSJ2 · pith_short_16: JTZNXOPWQSJ2IE34 · pith_short_8: JTZNXOPW

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/JTZNXOPWQSJ2IE34F33EFO4IQM \
  | 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: 4cf2dbb9f68493a4137c2ef642bb88833f13a447d866c99f983cbd1f7ca462a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df23920ceaf1d319fe0504c5395d32903d589fe8531767a6bb57bf159f48d424",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-09-28T08:44:07Z",
    "title_canon_sha256": "91719b6dd5d56047ad178d41795675ee29aaac7eff293a70fe9e7fbdb1e3eab2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5489",
    "kind": "arxiv",
    "version": 1
  }
}