Pith Number

pith:3X2WRS5W

pith:2015:3X2WRS5WEH2YTJ4XHKT6K6WSQ7

not attested not anchored not stored refs pending

Averaging $2$-Rainbow Domination and Roman Domination

Dieter Rautenbach, Jose D. Alvarado, Simone Dantas

arxiv:1507.04899 v1 · 2015-07-17 · 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{3X2WRS5WEH2YTJ4XHKT6K6WSQ7}

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	2026-05-18T01:36:42.486241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddf568cbb621f589a7973aa7e57ad287db063753816b4a52b652635af2bd7fe0

Aliases

arxiv: 1507.04899 · arxiv_version: 1507.04899v1 · doi: 10.48550/arxiv.1507.04899 · pith_short_12: 3X2WRS5WEH2Y · pith_short_16: 3X2WRS5WEH2YTJ4X · pith_short_8: 3X2WRS5W

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/3X2WRS5WEH2YTJ4XHKT6K6WSQ7 \
  | 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: ddf568cbb621f589a7973aa7e57ad287db063753816b4a52b652635af2bd7fe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ee5803218054653faa573065755cb488f14f2286568a4474d57ceb7d3b5457f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-17T09:56:36Z",
    "title_canon_sha256": "f1e1074c8754f39607d6151c7bf356d7b23101013c60e28d46dcb4a1ad87ada0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04899",
    "kind": "arxiv",
    "version": 1
  }
}