Pith Number

pith:V2I5WMD4

pith:2013:V2I5WMD4AQQJLLJ3I3ZFQEM4BY

not attested not anchored not stored refs pending

Random subcube intersection graphs I: cliques and covering

Klas Markstr\"om, Victor Falgas-Ravry

arxiv:1309.7375 v2 · 2013-09-27 · math.PR · 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{V2I5WMD4AQQJLLJ3I3ZFQEM4BY}

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	2026-05-18T01:58:27.405722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae91db307c042095ad3b46f258119c0e093038c1bd5349cc264f51b5620248ee

Aliases

arxiv: 1309.7375 · arxiv_version: 1309.7375v2 · doi: 10.48550/arxiv.1309.7375 · pith_short_12: V2I5WMD4AQQJ · pith_short_16: V2I5WMD4AQQJLLJ3 · pith_short_8: V2I5WMD4

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/V2I5WMD4AQQJLLJ3I3ZFQEM4BY \
  | 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: ae91db307c042095ad3b46f258119c0e093038c1bd5349cc264f51b5620248ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7defc5729fc7d015c2201f42c182cbd9e21d3070f7bc29c35312e23f829a7463",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-09-27T21:54:31Z",
    "title_canon_sha256": "2693865fa874dd9f34b4a8289d1ade0a19827a15e7194bc1f360e6d64284c89a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7375",
    "kind": "arxiv",
    "version": 2
  }
}