Pith Number

pith:36SODYM4

pith:2016:36SODYM4BCFZY43CFDDCRNLE2S

not attested not anchored not stored refs pending

The spectral excess theorem for graphs with few eigenvalues whose distance-$2$ or distance-$1$-or-$2$ graph is strongly regular

C. Dalf\'o, J. Koolen, M.A. Fiol

arxiv:1608.00373 v2 · 2016-08-01 · 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{36SODYM4BCFZY43CFDDCRNLE2S}

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	2026-05-17T23:52:34.487800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfa4e1e19c088b9c736228c628b564d490936b10c4b66ccf237afaa641588552

Aliases

arxiv: 1608.00373 · arxiv_version: 1608.00373v2 · doi: 10.48550/arxiv.1608.00373 · pith_short_12: 36SODYM4BCFZ · pith_short_16: 36SODYM4BCFZY43C · pith_short_8: 36SODYM4

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/36SODYM4BCFZY43CFDDCRNLE2S \
  | 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: dfa4e1e19c088b9c736228c628b564d490936b10c4b66ccf237afaa641588552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7193d9d8ee2cae740a4e1cbee7e1685f39532c1d0271a96f4d111edc90241a9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-08-01T10:07:58Z",
    "title_canon_sha256": "cd9935af0f26a704ed94d468c0a9be1a9b21cccaf73455f7462a5c1d491fd981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00373",
    "kind": "arxiv",
    "version": 2
  }
}