Pith Number

pith:TTODMZAJ

pith:2018:TTODMZAJCDZL5RCCHWTZG62SGO

not attested not anchored not stored refs pending

Broadcast domination and multipacking: bounds and the integrality gap

Florent Foucaud, Laurent Beaudou, Richard C. Brewster

arxiv:1803.02550 v2 · 2018-03-07 · 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{TTODMZAJCDZL5RCCHWTZG62SGO}

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	2026-05-17T23:44:59.797816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cdc36640910f2bec4423da7937b523389cf099faf4056b80add548b530fc9dd

Aliases

arxiv: 1803.02550 · arxiv_version: 1803.02550v2 · doi: 10.48550/arxiv.1803.02550 · pith_short_12: TTODMZAJCDZL · pith_short_16: TTODMZAJCDZL5RCC · pith_short_8: TTODMZAJ

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/TTODMZAJCDZL5RCCHWTZG62SGO \
  | 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: 9cdc36640910f2bec4423da7937b523389cf099faf4056b80add548b530fc9dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b027b11a0d63baed3f50f5b266013c218f99e5d28c9443fc767b25b67ee2834e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-07T07:26:19Z",
    "title_canon_sha256": "542ce43e2254dc0a3232ae9c1f7bc797737b8e3fdb6245599d56edf0e7240692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02550",
    "kind": "arxiv",
    "version": 2
  }
}