Pith Number

pith:GRDDMPQT

pith:2013:GRDDMPQTSTC6NS3TW4BODLUDJY

not attested not anchored not stored refs pending

Groups all of whose undirected Cayley graphs are integral

Alireza Abdollahi, Mojtaba Jazaeri

arxiv:1307.5413 v2 · 2013-07-20 · 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{GRDDMPQTSTC6NS3TW4BODLUDJY}

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	2026-05-18T02:59:30.415095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3446363e1394c5e6cb73b702e1ae834e3f468d233426c5884bb1a53404a5a36f

Aliases

arxiv: 1307.5413 · arxiv_version: 1307.5413v2 · doi: 10.48550/arxiv.1307.5413 · pith_short_12: GRDDMPQTSTC6 · pith_short_16: GRDDMPQTSTC6NS3T · pith_short_8: GRDDMPQT

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/GRDDMPQTSTC6NS3TW4BODLUDJY \
  | 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: 3446363e1394c5e6cb73b702e1ae834e3f468d233426c5884bb1a53404a5a36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d8fdd4029ce804d8d0267f38535c13f98c698eca410b28eef47a2b117f1820",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-20T12:20:35Z",
    "title_canon_sha256": "364d58832b072364079dc7721f7991b1867ebbfea82dbeec510a63fc1b19f8a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.5413",
    "kind": "arxiv",
    "version": 2
  }
}