Pith Number

pith:FUG36NFN

pith:2015:FUG36NFNZJSFABUNSK64MS2QU6

not attested not anchored not stored refs pending

Strong Equality of Roman and Weak Roman Domination in Trees

Dieter Rautenbach, Jose D. Alvarado, Simone Dantas

arxiv:1507.04902 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{FUG36NFNZJSFABUNSK64MS2QU6}

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	2026-05-18T01:36:42.461031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d0dbf34adca6450068d92bdc64b50a7a43d68fbac3a84a9484c4a82df2fc2de

Aliases

arxiv: 1507.04902 · arxiv_version: 1507.04902v1 · doi: 10.48550/arxiv.1507.04902 · pith_short_12: FUG36NFNZJSF · pith_short_16: FUG36NFNZJSFABUN · pith_short_8: FUG36NFN

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/FUG36NFNZJSFABUNSK64MS2QU6 \
  | 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: 2d0dbf34adca6450068d92bdc64b50a7a43d68fbac3a84a9484c4a82df2fc2de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7884a0376d5ec439dc1d8786ce0dc12368f9cd1e35d45794d8ea2b9092c226d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-17T10:08:35Z",
    "title_canon_sha256": "3da31a2cfbaebac2369ec212e922aa1b67382f8cf8515853772ca6977582ed66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04902",
    "kind": "arxiv",
    "version": 1
  }
}