Pith Number

pith:3YQNQI7Z

pith:2013:3YQNQI7ZXU2FFXDIRAAMUSP73F

not attested not anchored not stored refs pending

Semi-degree threshold for anti-directed Hamiltonian cycles

Louis DeBiasio, Theodore Molla

arxiv:1308.0269 v2 · 2013-08-01 · 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{3YQNQI7ZXU2FFXDIRAAMUSP73F}

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	2026-05-18T02:31:36.653843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de20d823f9bd3452dc688800ca49ffd95eeec0581d90cf24a568c99c60c3db45

Aliases

arxiv: 1308.0269 · arxiv_version: 1308.0269v2 · doi: 10.48550/arxiv.1308.0269 · pith_short_12: 3YQNQI7ZXU2F · pith_short_16: 3YQNQI7ZXU2FFXDI · pith_short_8: 3YQNQI7Z

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/3YQNQI7ZXU2FFXDIRAAMUSP73F \
  | 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: de20d823f9bd3452dc688800ca49ffd95eeec0581d90cf24a568c99c60c3db45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51abbc0508e38db84ddf521c121eaa451bf9e4b6bbf1d2f726f6a4f01227a9c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-01T17:17:26Z",
    "title_canon_sha256": "266d401d83789bf89fb6b8877c321c8ba1c295f90abfab92913ab666744c01d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0269",
    "kind": "arxiv",
    "version": 2
  }
}