Pith Number

pith:O5K55OYB

pith:2005:O5K55OYB457GJWCI6QZKQH5CAC

not attested not anchored not stored refs pending

Probabilistic Extensions of the Erd\H os-Ko-Rado Property

Anant P. Godbole, Anna Celaya, Mandy Rae Schleifer

arxiv:math/0509382 v1 · 2005-09-16 · 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{O5K55OYB457GJWCI6QZKQH5CAC}

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	2026-05-18T03:58:04.821280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7755debb01e77e64d848f432a81fa200a77552748d212916ef60531c7378aae3

Aliases

arxiv: math/0509382 · arxiv_version: math/0509382v1 · doi: 10.48550/arxiv.math/0509382 · pith_short_12: O5K55OYB457G · pith_short_16: O5K55OYB457GJWCI · pith_short_8: O5K55OYB

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/O5K55OYB457GJWCI6QZKQH5CAC \
  | 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: 7755debb01e77e64d848f432a81fa200a77552748d212916ef60531c7378aae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd89cff2e59f7064c80a252723b2c401f22d640546e9f3e67fd1a526e4e5420e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-09-16T15:31:19Z",
    "title_canon_sha256": "330c2acea6ba718cb748659b91e26d15e897fb39e8126dbb2458f6d79653e1f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509382",
    "kind": "arxiv",
    "version": 1
  }
}