Pith Number

pith:LYGBYJG5

pith:2014:LYGBYJG5E3KALB6CUIS4AACSOU

not attested not anchored not stored refs pending

On the strength of connectedness of a random hypergraph

Daniel Poole

arxiv:1409.1489 v2 · 2014-09-04 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYGBYJG5E3KALB6CUIS4AACSOU}

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	2026-05-18T02:25:19.826327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e0c1c24dd26d40587c2a225c000527521e31441e589acbc9cb7d0634fa5c919

Aliases

arxiv: 1409.1489 · arxiv_version: 1409.1489v2 · doi: 10.48550/arxiv.1409.1489 · pith_short_12: LYGBYJG5E3KA · pith_short_16: LYGBYJG5E3KALB6C · pith_short_8: LYGBYJG5

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/LYGBYJG5E3KALB6CUIS4AACSOU \
  | 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: 5e0c1c24dd26d40587c2a225c000527521e31441e589acbc9cb7d0634fa5c919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4315db4d1b1f8af2d39a7f4909ced04e375e988564f8092f0b8e3cabbbd9a9a3",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-04T16:55:16Z",
    "title_canon_sha256": "24eb5d27d7bfb389fa237795c5cf3048c71e207c3f1fa4b7f2ed9c7c236aad44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1489",
    "kind": "arxiv",
    "version": 2
  }
}