Pith Number

pith:WYTSRHDA

pith:2015:WYTSRHDAIBRNC36HTGAHBMZ6X2

not attested not anchored not stored refs pending

The planar Cayley graphs are effectively enumerable I: consistently planar graphs

Agelos Georgakopoulos, Matthias Hamann

arxiv:1506.03361 v3 · 2015-06-10 · 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{WYTSRHDAIBRNC36HTGAHBMZ6X2}

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	2026-05-17T23:57:03.576900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b627289c604062d16fc7998070b33ebe82af64bede9db23c7042fad6814cb8c8

Aliases

arxiv: 1506.03361 · arxiv_version: 1506.03361v3 · doi: 10.48550/arxiv.1506.03361 · pith_short_12: WYTSRHDAIBRN · pith_short_16: WYTSRHDAIBRNC36H · pith_short_8: WYTSRHDA

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/WYTSRHDAIBRNC36HTGAHBMZ6X2 \
  | 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: b627289c604062d16fc7998070b33ebe82af64bede9db23c7042fad6814cb8c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51c22a2b806f3a555a9e850259de8204c475acc10a0a21b0d567627361b711b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-10T15:27:20Z",
    "title_canon_sha256": "45420232cc2a973035840f28213d45e6a6ce6e077b5038dd4de37d5576955bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03361",
    "kind": "arxiv",
    "version": 3
  }
}