Pith Number

pith:G22QHIF7

pith:2013:G22QHIF7VZSJYU4M25WX3HJBWG

not attested not anchored not stored refs pending

Most Probably Intersecting Hypergraphs

Benny Sudakov, Shagnik Das

arxiv:1312.0840 v2 · 2013-12-03 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G22QHIF7VZSJYU4M25WX3HJBWG}

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	2026-05-18T02:39:23.962727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b503a0bfae649c538cd76d7d9d21b1ac292be798590732797c11793b4617c5

Aliases

arxiv: 1312.0840 · arxiv_version: 1312.0840v2 · doi: 10.48550/arxiv.1312.0840 · pith_short_12: G22QHIF7VZSJ · pith_short_16: G22QHIF7VZSJYU4M · pith_short_8: G22QHIF7

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/G22QHIF7VZSJYU4M25WX3HJBWG \
  | 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: 36b503a0bfae649c538cd76d7d9d21b1ac292be798590732797c11793b4617c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73da8a8a4a8ca996a1107d0518274bbd32c52573710b6c4f2d86b2510897ed59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-03T14:54:58Z",
    "title_canon_sha256": "ed6a15da070948925704104fc5b506dc74f33d0a0d8a5387a1894ede928c6e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0840",
    "kind": "arxiv",
    "version": 2
  }
}