Pith Number

pith:JOELPJYK

pith:2019:JOELPJYKRERSRX4DVPNSDWH3I6

not attested not anchored not stored refs pending

Short cycle covers of cubic graphs and intersecting 5-circuits

Robert Luko\v{t}ka

arxiv:1901.10718 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{JOELPJYKRERSRX4DVPNSDWH3I6}

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	2026-05-17T23:55:06.197537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b88b7a70a892328df83abdb21d8fb4794c0c88c88830380f9950e19e0820a48

Aliases

arxiv: 1901.10718 · arxiv_version: 1901.10718v1 · doi: 10.48550/arxiv.1901.10718 · pith_short_12: JOELPJYKRERS · pith_short_16: JOELPJYKRERSRX4D · pith_short_8: JOELPJYK

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/JOELPJYKRERSRX4DVPNSDWH3I6 \
  | 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: 4b88b7a70a892328df83abdb21d8fb4794c0c88c88830380f9950e19e0820a48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2396b47ece53f462f2dd8a5f542e8e3fa7d7ad3f906a7367ca11b072552265be",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-30T09:23:44Z",
    "title_canon_sha256": "02ccaea0b88324a4105f74c47b9e0beb5de30403db19819975d88aa6a5ed7a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.10718",
    "kind": "arxiv",
    "version": 1
  }
}