Pith Number

pith:HQA4ONF6

pith:2017:HQA4ONF6XE4CEOVOLQSELQEOWO

not attested not anchored not stored refs pending

Smallest snarks with oddness 4 and cyclic connectivity 4 have order 44

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

arxiv:1712.07867 v3 · 2017-12-21 · 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{HQA4ONF6XE4CEOVOLQSELQEOWO}

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	2026-05-17T23:56:38.881567Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c01c734beb938223aae5c2445c08eb3ad36445cda5c4c5b978455f94e5b2d25

Aliases

arxiv: 1712.07867 · arxiv_version: 1712.07867v3 · doi: 10.48550/arxiv.1712.07867 · pith_short_12: HQA4ONF6XE4C · pith_short_16: HQA4ONF6XE4CEOVO · pith_short_8: HQA4ONF6

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/HQA4ONF6XE4CEOVOLQSELQEOWO \
  | 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: 3c01c734beb938223aae5c2445c08eb3ad36445cda5c4c5b978455f94e5b2d25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3223044a7166385cb76076f8981eb4981920e7788e987e954a9bff0ca74949c4",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-21T10:40:49Z",
    "title_canon_sha256": "b0eb5a17ab76c68f46aafe24df6eec43726934186bafde4a8657e2ae0b29e99f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07867",
    "kind": "arxiv",
    "version": 3
  }
}