Pith Number

pith:Q4BN7L3S

pith:2013:Q4BN7L3SFFRDAAZ24Y7XC2QVHP

not attested not anchored not stored refs pending

Cubic graphs with large circumference deficit

Edita M\'a\v{c}ajov\'a, J\'an Maz\'ak

arxiv:1310.1042 v2 · 2013-10-03 · cs.DM · 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{Q4BN7L3SFFRDAAZ24Y7XC2QVHP}

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	2026-05-18T03:07:33.759789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8702dfaf72296230033ae63f716a153bcacd76d694428540783eaaf69e84f479

Aliases

arxiv: 1310.1042 · arxiv_version: 1310.1042v2 · doi: 10.48550/arxiv.1310.1042 · pith_short_12: Q4BN7L3SFFRD · pith_short_16: Q4BN7L3SFFRDAAZ2 · pith_short_8: Q4BN7L3S

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/Q4BN7L3SFFRDAAZ24Y7XC2QVHP \
  | 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: 8702dfaf72296230033ae63f716a153bcacd76d694428540783eaaf69e84f479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebcc1ac3cb28bc822f55d25b5e4cd6693bef58360e8f1cd2cb99c6fd8873fdc2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-10-03T17:56:39Z",
    "title_canon_sha256": "42c46de52f5056852d785027371a837cb462cd0c86f47322ec8821f6f09edcee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1042",
    "kind": "arxiv",
    "version": 2
  }
}