Pith Number

pith:B7NMBOVW

pith:2000:B7NMBOVWYQYYOBJFXK67OTE47O

not attested not anchored not stored refs pending

The cover time, the blanket time, and the Matthews bound

J. H. Kim, J. Kahn, L. Lovasz, V. H. Vu

arxiv:math/0005121 v1 · 2000-05-12 · 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{B7NMBOVWYQYYOBJFXK67OTE47O}

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	2026-07-04T14:34:30.249275Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fdac0bab6c431870525babdf74c9cfbbde8a2643e6909ed0b91acdbad694e6c

Aliases

arxiv: math/0005121 · arxiv_version: math/0005121v1 · doi: 10.48550/arxiv.math/0005121 · pith_short_12: B7NMBOVWYQYY · pith_short_16: B7NMBOVWYQYYOBJF · pith_short_8: B7NMBOVW

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/B7NMBOVWYQYYOBJFXK67OTE47O \
  | 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: 0fdac0bab6c431870525babdf74c9cfbbde8a2643e6909ed0b91acdbad694e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5efaae6e73b95f9d579a62ac70497cc1b73e231d08051856b57213324c5abdb1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2000-05-12T00:33:33Z",
    "title_canon_sha256": "0283ea20e4b98a6b6469fd9404fe87c4e39b8dff0c6ecffc68e61276558de887"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005121",
    "kind": "arxiv",
    "version": 1
  }
}