Pith Number

pith:FPPYIZYT

pith:2011:FPPYIZYTJOS72OG225CVARU42T

not attested not anchored not stored refs pending

The planar cubic Cayley graphs

Agelos Georgakopoulos

arxiv:1102.2087 v2 · 2011-02-10 · math.GR · 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{FPPYIZYTJOS72OG225CVARU42T}

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	2026-05-18T02:22:39.014685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bdf8467134ba5fd38dad74550469cd4d87c3ab96433f2f3061fe811ce5f7e33

Aliases

arxiv: 1102.2087 · arxiv_version: 1102.2087v2 · doi: 10.48550/arxiv.1102.2087 · pith_short_12: FPPYIZYTJOS7 · pith_short_16: FPPYIZYTJOS72OG2 · pith_short_8: FPPYIZYT

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/FPPYIZYTJOS72OG225CVARU42T \
  | 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: 2bdf8467134ba5fd38dad74550469cd4d87c3ab96433f2f3061fe811ce5f7e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "048f9a7303fe4348a720f692744767900860f737304e8e0ca334c0d108aae168",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-02-10T11:50:09Z",
    "title_canon_sha256": "6578ab197f0ecd909896dc26bbddc3f1f60c6d9f8aa372690dd4be53b43f0f0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2087",
    "kind": "arxiv",
    "version": 2
  }
}