Pith Number

pith:JZC2Q2EN

pith:2012:JZC2Q2ENYJLP5ATBIAMJ7D26X3

not attested not anchored not stored refs pending

Integral Cayley multigraphs over Abelian and Hamiltonian groups

Azhvan Sheikh Ahmady, Bojan Mohar, Matt DeVos, Roi Krakovski

arxiv:1209.5126 v1 · 2012-09-23 · 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{JZC2Q2ENYJLP5ATBIAMJ7D26X3}

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	2026-05-18T03:44:59.140712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e45a8688dc256fe826140189f8f5ebef478dc1db80935694685344ca44a3311

Aliases

arxiv: 1209.5126 · arxiv_version: 1209.5126v1 · doi: 10.48550/arxiv.1209.5126 · pith_short_12: JZC2Q2ENYJLP · pith_short_16: JZC2Q2ENYJLP5ATB · pith_short_8: JZC2Q2EN

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/JZC2Q2ENYJLP5ATBIAMJ7D26X3 \
  | 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: 4e45a8688dc256fe826140189f8f5ebef478dc1db80935694685344ca44a3311

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ae61a8ca75673be13da63fe6bd56b78ec4260d3357f0638a4be057a9013f7d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-23T23:38:00Z",
    "title_canon_sha256": "5a77840d13921f8c0051640cb0dfe83627d0b9eda309fb604d947b3ff5b0ea4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5126",
    "kind": "arxiv",
    "version": 1
  }
}