Pith Number

pith:SOFVMIR7

pith:2013:SOFVMIR7762XTO7VHXQMKQOODL

not attested not anchored not stored refs pending

Variations of the spectral excess theorem for normal digraphs

G.R. Omidi

arxiv:1310.7382 v1 · 2013-10-28 · 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{SOFVMIR7762XTO7VHXQMKQOODL}

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	2026-05-18T03:08:45.507080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

938b56223fffb579bbf53de0c541ce1afaba93a4e871902fef06008769849151

Aliases

arxiv: 1310.7382 · arxiv_version: 1310.7382v1 · doi: 10.48550/arxiv.1310.7382 · pith_short_12: SOFVMIR7762X · pith_short_16: SOFVMIR7762XTO7V · pith_short_8: SOFVMIR7

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/SOFVMIR7762XTO7VHXQMKQOODL \
  | 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: 938b56223fffb579bbf53de0c541ce1afaba93a4e871902fef06008769849151

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a5c13fbb46ae9ece1974eab6a36a6e866446615013f80a9ebdb7874543246c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-28T11:32:28Z",
    "title_canon_sha256": "1ef7d6392e3fc4955ce4c88f135c6e0fe441750f442392cf987c0afaba601b99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7382",
    "kind": "arxiv",
    "version": 1
  }
}