Pith Number

pith:VPS66IYJ

pith:2012:VPS66IYJ7D7MHEYNC5KT6GL2FT

not attested not anchored not stored refs pending

Domination game played on trees and spanning subgraphs

Bostjan Bresar, Douglas F. Rall, Sandi Klavzar

arxiv:1210.0524 v2 · 2012-10-01 · 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{VPS66IYJ7D7MHEYNC5KT6GL2FT}

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	2026-05-18T03:31:06.583248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abe5ef2309f8fec3930d17553f197a2cd505b053e6e6f9bc9c98151d99466715

Aliases

arxiv: 1210.0524 · arxiv_version: 1210.0524v2 · doi: 10.48550/arxiv.1210.0524 · pith_short_12: VPS66IYJ7D7M · pith_short_16: VPS66IYJ7D7MHEYN · pith_short_8: VPS66IYJ

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/VPS66IYJ7D7MHEYNC5KT6GL2FT \
  | 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: abe5ef2309f8fec3930d17553f197a2cd505b053e6e6f9bc9c98151d99466715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49ef16a9f8170b15166c557890315c6681a0affb8312887bb061fefabcb96fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-10-01T19:58:18Z",
    "title_canon_sha256": "8d9ee4618c515e7961c61cf1a6b58d2120e9dc07b4128fecdf1f1f6ed010534b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0524",
    "kind": "arxiv",
    "version": 2
  }
}