pith. sign in
Pith Number

pith:3ALCOHOP

pith:2013:3ALCOHOPGEWC7C66ZWMQNYEAI4
not attested not anchored not stored refs pending

Bounds on the Maximum Number of Minimum Dominating Sets

Anant Godbole, Bill Kay, Samuel Connolly, Zachary Gabor

arxiv:1308.3210 v1 · 2013-08-14 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3ALCOHOPGEWC7C66ZWMQNYEAI4}

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 2026-05-18T03:15:56.336148Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d816271dcf312c2f8bdecd9906e0804736e5e57f967e0883a18e40cb84ac757a

Aliases

arxiv: 1308.3210 · arxiv_version: 1308.3210v1 · doi: 10.48550/arxiv.1308.3210 · pith_short_12: 3ALCOHOPGEWC · pith_short_16: 3ALCOHOPGEWC7C66 · pith_short_8: 3ALCOHOP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3ALCOHOPGEWC7C66ZWMQNYEAI4 \
  | 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: d816271dcf312c2f8bdecd9906e0804736e5e57f967e0883a18e40cb84ac757a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cc270eef962ca4a836a259607d3bc86d50cb838ea37ba0449545a99be85df830",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-14T19:00:25Z",
    "title_canon_sha256": "fbac66c334ed2faad445bcab85f1dcb4945f49377bcc6d4465f2b45f7eda24f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3210",
    "kind": "arxiv",
    "version": 1
  }
}