Pith Number

pith:UFLRVTZO

pith:2019:UFLRVTZOVOA232765BAC4MLGGD

not attested not anchored not stored refs pending

The smallest nontrivial snarks of oddness 4

Edita M\'a\v{c}ajov\'a, Jan Goedgebeur, Martin \v{S}koviera

arxiv:1901.10911 v1 · 2019-01-30 · 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{UFLRVTZOVOA232765BAC4MLGGD}

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	2026-05-17T23:55:05.735875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1571acf2eab81adebfee8402e316630f0778373b041af00a5fce800a2c5c4af

Aliases

arxiv: 1901.10911 · arxiv_version: 1901.10911v1 · doi: 10.48550/arxiv.1901.10911 · pith_short_12: UFLRVTZOVOA2 · pith_short_16: UFLRVTZOVOA23276 · pith_short_8: UFLRVTZO

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/UFLRVTZOVOA232765BAC4MLGGD \
  | 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: a1571acf2eab81adebfee8402e316630f0778373b041af00a5fce800a2c5c4af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "746f14f16860fed91faba3e31e8f2a936edc2d947fcfa78c415cda6d7e8c9959",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-30T15:46:56Z",
    "title_canon_sha256": "93dd4ed899e10994d49eb6a2569fde32a423dbe2dbeb6fe474961ea5d8119c51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10911",
    "kind": "arxiv",
    "version": 1
  }
}