Pith Number

pith:OFPXMN4L

pith:2015:OFPXMN4LFIM46UJ3NTW5QOB4LJ

not attested not anchored not stored refs pending

Groups all of whose undirected Cayley graphs are determined by their spectra

Alireza Abdollahi, Mojtaba Jazaeri, Shahrooz Janbaz

arxiv:1503.01541 v3 · 2015-03-05 · math.CO · math.GR · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OFPXMN4LFIM46UJ3NTW5QOB4LJ}

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	2026-05-18T02:17:11.087929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

715f76378b2a19cf513b6cedd8383c5a76a086af5222c63036b5105f8d9bf388

Aliases

arxiv: 1503.01541 · arxiv_version: 1503.01541v3 · doi: 10.48550/arxiv.1503.01541 · pith_short_12: OFPXMN4LFIM4 · pith_short_16: OFPXMN4LFIM46UJ3 · pith_short_8: OFPXMN4L

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/OFPXMN4LFIM46UJ3NTW5QOB4LJ \
  | 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: 715f76378b2a19cf513b6cedd8383c5a76a086af5222c63036b5105f8d9bf388

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41ef2e534a0125895201e92a0ab27c49c86e9f9b69cf7a6544d2197eeb4eb765",
    "cross_cats_sorted": [
      "math.GR",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-03-05T05:22:47Z",
    "title_canon_sha256": "cb3c7da917c4df0b85f2e8d2fca92b2ef7607ffabda5df1fad657b4a78b9b721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01541",
    "kind": "arxiv",
    "version": 3
  }
}