pith. sign in
Pith Number

pith:DHZJTSGH

pith:2013:DHZJTSGHX6XBBMPJGGO2PBVU5P
not attested not anchored not stored refs pending

Avoiding 5-circuits in a 2-factor of cubic graphs

Barbora Candr\'akov\'a, Robert Luko\v{t}ka

arxiv:1311.0512 v2 · 2013-11-03 · math.CO · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{DHZJTSGHX6XBBMPJGGO2PBVU5P}

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 2026-05-18T01:32:11.005922Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

19f299c8c7bfae10b1e9319da786b4ebc2b5c33f321b014aca83daf56db830f2

Aliases

arxiv: 1311.0512 · arxiv_version: 1311.0512v2 · doi: 10.48550/arxiv.1311.0512 · pith_short_12: DHZJTSGHX6XB · pith_short_16: DHZJTSGHX6XBBMPJ · pith_short_8: DHZJTSGH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/DHZJTSGHX6XBBMPJGGO2PBVU5P \
  | 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: 19f299c8c7bfae10b1e9319da786b4ebc2b5c33f321b014aca83daf56db830f2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "78a52deb86b6356ff8cbbedf5ebbba8d171f9b415d6baa9e9493ee5b1a46296b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-03T19:28:27Z",
    "title_canon_sha256": "599d24c940532a8acdaba17b7462dd0ea2d3e4b85c5f1dbf90e74a24cd229db3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0512",
    "kind": "arxiv",
    "version": 2
  }
}