Pith Number

pith:GXPMDTA3

pith:2012:GXPMDTA3QI4ETSPUKXUVT5QOVN

not attested not anchored not stored refs pending

Total Domination Value in Graphs

Cong X. Kang

arxiv:1204.3970 v1 · 2012-04-18 · 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{GXPMDTA3QI4ETSPUKXUVT5QOVN}

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	2026-05-18T02:26:53.180949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35dec1cc1b823849c9f455e959f60eab5a4c9defc3c2214895f1e67234d078f7

Aliases

arxiv: 1204.3970 · arxiv_version: 1204.3970v1 · doi: 10.48550/arxiv.1204.3970 · pith_short_12: GXPMDTA3QI4E · pith_short_16: GXPMDTA3QI4ETSPU · pith_short_8: GXPMDTA3

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/GXPMDTA3QI4ETSPUKXUVT5QOVN \
  | 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: 35dec1cc1b823849c9f455e959f60eab5a4c9defc3c2214895f1e67234d078f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4288750cb9831b354edce23ea0a468d0657a80f604765d191e1392b9b9439e20",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-04-18T04:12:39Z",
    "title_canon_sha256": "f296f66fa2779505dd2e5d065aff2902bc082ed51e7e476b3a0d5e4f9a6041b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3970",
    "kind": "arxiv",
    "version": 1
  }
}