Pith Number

pith:Y6EHNCPY

pith:2026:Y6EHNCPYLWRLFZWCETLXFHGGDS

not attested not anchored not stored refs pending

Polyhedral Maps of Cubic Graphs with given Automorphism Groups

Alice C. Niemeyer, Meike Wei{\ss}, Reymond Akpanya, Ugo Detaille

arxiv:2607.19833 v1 · 2026-07-22 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y6EHNCPYLWRLFZWCETLXFHGGDS}

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	2026-07-23T01:24:02.623128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7887689f85da2b2e6c224d7729cc61c975045494b1e5af164cad1c13ecba231

Aliases

arxiv: 2607.19833 · arxiv_version: 2607.19833v1 · doi: 10.48550/arxiv.2607.19833 · pith_short_12: Y6EHNCPYLWRL · pith_short_16: Y6EHNCPYLWRLFZWC · pith_short_8: Y6EHNCPY

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/Y6EHNCPYLWRLFZWCETLXFHGGDS \
  | 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: c7887689f85da2b2e6c224d7729cc61c975045494b1e5af164cad1c13ecba231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977694942543881e01b92262f723ee534159e6d2ff79e7ae6e25240721aa4c8d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-22T07:12:32Z",
    "title_canon_sha256": "7660e2a236737adc75315ccb0280ba4a45c18914c293c21262af8a99f8e26e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19833",
    "kind": "arxiv",
    "version": 1
  }
}