Pith Number

pith:EL5BZ7O5

pith:2012:EL5BZ7O5QIPE2EPGAUMNXVPWO2

not attested not anchored not stored refs pending

Fat Hoffman graphs with smallest eigenvalue greater than -3

Akihiro Munemasa, Tetsuji Taniguchi, Yoshio Sano

arxiv:1211.3929 v4 · 2012-11-16 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EL5BZ7O5QIPE2EPGAUMNXVPWO2}

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	2026-05-18T02:45:32.220845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22fa1cfddd821e4d11e60518dbd5f676b6dff69d6a6a2ad2ac86423dfa32c6fd

Aliases

arxiv: 1211.3929 · arxiv_version: 1211.3929v4 · doi: 10.48550/arxiv.1211.3929 · pith_short_12: EL5BZ7O5QIPE · pith_short_16: EL5BZ7O5QIPE2EPG · pith_short_8: EL5BZ7O5

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/EL5BZ7O5QIPE2EPGAUMNXVPWO2 \
  | 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: 22fa1cfddd821e4d11e60518dbd5f676b6dff69d6a6a2ad2ac86423dfa32c6fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f775332f63e80e44094946683e9f2f3c53459d4beac10bff611f9a12faaa26b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-16T15:49:59Z",
    "title_canon_sha256": "118f07b28a6b9c7675207372a04887b489d31bc17c1250db911ca46171ad1535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3929",
    "kind": "arxiv",
    "version": 4
  }
}