Pith Number

pith:WB6QOOSC

pith:2012:WB6QOOSCUSCJ3ISCH2TYUDGNY6

not attested not anchored not stored refs pending

Dual concepts of almost distance-regularity and the spectral excess theorem

Cristina Dalf\'o, Edwin R. van Dam, Ernest Garriga, Miquel Angel Fiol

arxiv:1207.3606 v1 · 2012-07-16 · 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{WB6QOOSCUSCJ3ISCH2TYUDGNY6}

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	2026-05-18T03:51:00.667918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b07d073a42a4849da2423ea78a0ccdc78e0d1bc2bfc896296276e768a2f6dff6

Aliases

arxiv: 1207.3606 · arxiv_version: 1207.3606v1 · doi: 10.48550/arxiv.1207.3606 · pith_short_12: WB6QOOSCUSCJ · pith_short_16: WB6QOOSCUSCJ3ISC · pith_short_8: WB6QOOSC

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/WB6QOOSCUSCJ3ISCH2TYUDGNY6 \
  | 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: b07d073a42a4849da2423ea78a0ccdc78e0d1bc2bfc896296276e768a2f6dff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5534f578fa13f573a321fbababa1ba1ff73e3a0791bce4508fc6f0d6acd6832d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-16T09:11:16Z",
    "title_canon_sha256": "86f26825a29eb96d548875014d3e4d58a8e0c87300937fec7d429ac089cd5ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3606",
    "kind": "arxiv",
    "version": 1
  }
}