Pith Number

pith:FRWPQJBS

pith:2018:FRWPQJBS6WR3Y2UNNEZF7NNTMU

not attested not anchored not stored refs pending

Irreducible 4-critical triangle-free toroidal graphs

Jakub Pek\'arek, Zden\v{e}k Dvo\v{r}\'ak

arxiv:1801.10457 v1 · 2018-01-31 · 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{FRWPQJBS6WR3Y2UNNEZF7NNTMU}

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	2026-05-18T00:24:40.774966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6cf82432f5a3bc6a8d69325fb5b365289e2a04acd2ea091ca8a45510eecb3e

Aliases

arxiv: 1801.10457 · arxiv_version: 1801.10457v1 · doi: 10.48550/arxiv.1801.10457 · pith_short_12: FRWPQJBS6WR3 · pith_short_16: FRWPQJBS6WR3Y2UN · pith_short_8: FRWPQJBS

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/FRWPQJBS6WR3Y2UNNEZF7NNTMU \
  | 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: 2c6cf82432f5a3bc6a8d69325fb5b365289e2a04acd2ea091ca8a45510eecb3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c04e437dd5d04a4c24a7ed0daba042fad9a8e58fe3918497e4986cc181f63438",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-31T14:24:33Z",
    "title_canon_sha256": "a02b50d4e5f8f67f4e6524cc0ed306578a35c94e65cfb44fbd0a8e649dcee4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.10457",
    "kind": "arxiv",
    "version": 1
  }
}