Pith Number

pith:AA7OBDRX

pith:2013:AA7OBDRXQ4RDI6UXMKIPRCZTSK

not attested not anchored not stored refs pending

On Complexities of Minus Domination

Hsiang-Hsuan Liu, Lu\'erbio Faria, Tao-Ming Wang, Ton Kloks, Wing-Kai Hon, Yue-Li Wang

arxiv:1307.6663 v4 · 2013-07-25 · 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{AA7OBDRXQ4RDI6UXMKIPRCZTSK}

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	2026-05-18T03:15:17.867665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

003ee08e378722347a976290f88b33928cdcab33e3f8381d255ab6d97d24f352

Aliases

arxiv: 1307.6663 · arxiv_version: 1307.6663v4 · doi: 10.48550/arxiv.1307.6663 · pith_short_12: AA7OBDRXQ4RD · pith_short_16: AA7OBDRXQ4RDI6UX · pith_short_8: AA7OBDRX

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/AA7OBDRXQ4RDI6UXMKIPRCZTSK \
  | 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: 003ee08e378722347a976290f88b33928cdcab33e3f8381d255ab6d97d24f352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1a4121e31d62e70680cd08379f06613b9ba9343a96d2496d695436a6c2e02fd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-07-25T08:35:39Z",
    "title_canon_sha256": "9f4a82ac5974c8b5ae3444b076aa10d11bda59ce979e118b0974dbe08dd4fb86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6663",
    "kind": "arxiv",
    "version": 4
  }
}