Pith Number

pith:UITTTQAK

pith:2023:UITTTQAKEB5FTFP6JQZOAEP3RN

not attested not anchored not stored refs pending

Generalized Heawood Graphs and Triangulations of Tori

Cesar Ceballos, Joseph Doolittle

arxiv:2307.11859 v2 · 2023-07-21 · 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{UITTTQAKEB5FTFP6JQZOAEP3RN}

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	2026-07-05T06:37:04.448618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a22739c00a207a5995fe4c32e011fb8b57d09f4de39f346f2d1a4a4200a93cfa

Aliases

arxiv: 2307.11859 · arxiv_version: 2307.11859v2 · doi: 10.48550/arxiv.2307.11859 · pith_short_12: UITTTQAKEB5F · pith_short_16: UITTTQAKEB5FTFP6 · pith_short_8: UITTTQAK

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/UITTTQAKEB5FTFP6JQZOAEP3RN \
  | 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: a22739c00a207a5995fe4c32e011fb8b57d09f4de39f346f2d1a4a4200a93cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "811c15c554b0af188fd2f944dd4b3c92b1e474ee219112b24a9546f0841fc81e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-21T18:59:48Z",
    "title_canon_sha256": "15ac9dd1bd3f7f77a431fb4bea2b2807a90f32f6751a9123aee154588af4b82e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.11859",
    "kind": "arxiv",
    "version": 2
  }
}