Pith Number

pith:FEVTYVIX

pith:2004:FEVTYVIX72YHID5SC7LU4SRDH6

not attested not anchored not stored refs pending

The structure and labelled enumeration of K_{3,3}-subdivision-free projective-planar graphs

Andrei Gagarin, Gilbert Labelle, Pierre Leroux (LACIM, Universite du Quebec a Montreal)

arxiv:math/0406140 v5 · 2004-06-08 · 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{FEVTYVIX72YHID5SC7LU4SRDH6}

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	2026-05-18T04:32:43.998392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

292b3c5517feb0740fb217d74e4a233f894799860db1e21be49dfd0c11181fd2

Aliases

arxiv: math/0406140 · arxiv_version: math/0406140v5 · doi: 10.48550/arxiv.math/0406140 · pith_short_12: FEVTYVIX72YH · pith_short_16: FEVTYVIX72YHID5S · pith_short_8: FEVTYVIX

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/FEVTYVIX72YHID5SC7LU4SRDH6 \
  | 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: 292b3c5517feb0740fb217d74e4a233f894799860db1e21be49dfd0c11181fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46b4be0e861b569a90971e2d8a2e596b60c523efda6d3494b203f4b8640165b2",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2004-06-08T04:22:43Z",
    "title_canon_sha256": "992e946ab8c92e389d246270fd32f5caf74f8367d0633eb120fecc9db711aa9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406140",
    "kind": "arxiv",
    "version": 5
  }
}