Pith Number

pith:PY4265Y6

pith:2017:PY4265Y6G2YPHBWXKK2HP42CUW

not attested not anchored not stored refs pending

Dominating 2-broadcast in graphs: complexity, bounds and extremal graphs

Carmen Hernando, Ignacio M. Pelayo, Jos\'e C\'aceres, Mar\'ia Luz Puertas, Merc\`e Mora

arxiv:1710.05953 v1 · 2017-10-16 · 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{PY4265Y6G2YPHBWXKK2HP42CUW}

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	2026-05-18T00:32:38.227047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e39af771e36b0f386d752b477f342a5ad6409be3473709974e59cac8e2e15d4

Aliases

arxiv: 1710.05953 · arxiv_version: 1710.05953v1 · doi: 10.48550/arxiv.1710.05953 · pith_short_12: PY4265Y6G2YP · pith_short_16: PY4265Y6G2YPHBWX · pith_short_8: PY4265Y6

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/PY4265Y6G2YPHBWXKK2HP42CUW \
  | 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: 7e39af771e36b0f386d752b477f342a5ad6409be3473709974e59cac8e2e15d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ee71fc7ef1a87ed1e56984311c970b5424de6b09dd9dfb664e23ba26eeb234c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-16T18:35:24Z",
    "title_canon_sha256": "5e6ac25fdec6aa2537be1488f363c363f7c6b7ea2ad3424cf723ded532ff246c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.05953",
    "kind": "arxiv",
    "version": 1
  }
}