Pith Number

pith:3SQIP6PF

pith:2016:3SQIP6PFF4ZMCWIRBPYP36XCPI

not attested not anchored not stored refs pending

General bounds on limited broadcast domination

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

arxiv:1609.05675 v4 · 2016-09-19 · 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{3SQIP6PFF4ZMCWIRBPYP36XCPI}

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	2026-07-05T06:23:17.659187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca087f9e52f32c159110bf0fdfae27a396f6d0c83ee07051707834ea85cf156

Aliases

arxiv: 1609.05675 · arxiv_version: 1609.05675v4 · doi: 10.48550/arxiv.1609.05675 · pith_short_12: 3SQIP6PFF4ZM · pith_short_16: 3SQIP6PFF4ZMCWIR · pith_short_8: 3SQIP6PF

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/3SQIP6PFF4ZMCWIRBPYP36XCPI \
  | 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: dca087f9e52f32c159110bf0fdfae27a396f6d0c83ee07051707834ea85cf156

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd74c00b45f3e1163b7c1dc556b711fa5e119a0c2468df8cd0bc291281ed5f8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-09-19T11:53:23Z",
    "title_canon_sha256": "fd91c1fe6b9b24a0f5051c8f569a6d49946abe6b5b11452ce8aec24bbe0fbed8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05675",
    "kind": "arxiv",
    "version": 4
  }
}