Pith Number

pith:YIYDXBL4

pith:2015:YIYDXBL4DVG66SDLND4EFLRTX6

not attested not anchored not stored refs pending

Relating $2$-rainbow domination to weak Roman domination

Dieter Rautenbach, Jose D. Alvarado, Simone Dantas

arxiv:1507.04901 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{YIYDXBL4DVG66SDLND4EFLRTX6}

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	2026-05-18T01:36:42.469591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2303b857c1d4def486b68f842ae33bfa28edf013bbac680f98b83f8d8109c4f

Aliases

arxiv: 1507.04901 · arxiv_version: 1507.04901v1 · doi: 10.48550/arxiv.1507.04901 · pith_short_12: YIYDXBL4DVG6 · pith_short_16: YIYDXBL4DVG66SDL · pith_short_8: YIYDXBL4

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/YIYDXBL4DVG66SDLND4EFLRTX6 \
  | 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: c2303b857c1d4def486b68f842ae33bfa28edf013bbac680f98b83f8d8109c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "949dfd9c8cd2b716f955a2d78aa5cf6e3024d464f3891a4be107c83ca89c5f14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-17T10:05:24Z",
    "title_canon_sha256": "4cd819ab4b9f634c2a8b400a460c7bf588bfa2622f0e499d84df559ad95bb52a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04901",
    "kind": "arxiv",
    "version": 1
  }
}