Pith Number

pith:6PKSFVAY

pith:2014:6PKSFVAYVJWD75OMXOAZRQMMSO

not attested not anchored not stored refs pending

Rationality conditions for the eigenvalues of normal finite Cayley graphs

Chris Godsil, Pablo Spiga

arxiv:1402.5494 v1 · 2014-02-22 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PKSFVAYVJWD75OMXOAZRQMMSO}

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	2026-05-18T02:58:20.958604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3d522d418aa6c3ff5ccbb8198c18c93941de9f0a01a0a724562de4372c03850

Aliases

arxiv: 1402.5494 · arxiv_version: 1402.5494v1 · doi: 10.48550/arxiv.1402.5494 · pith_short_12: 6PKSFVAYVJWD · pith_short_16: 6PKSFVAYVJWD75OM · pith_short_8: 6PKSFVAY

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/6PKSFVAYVJWD75OMXOAZRQMMSO \
  | 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: f3d522d418aa6c3ff5ccbb8198c18c93941de9f0a01a0a724562de4372c03850

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fb26013f09e2f0b4204700bfe04ee8ba0756dd73a693bf89f190341366de8e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-22T08:16:22Z",
    "title_canon_sha256": "54060e37302a351b2991d493ec824fdb72add2980358d4ff523af5451b2aaf69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5494",
    "kind": "arxiv",
    "version": 1
  }
}