Pith Number

pith:K2VO4ICC

pith:2018:K2VO4ICC65LDTYUXCLQK7AYW6S

not attested not anchored not stored refs pending

Asymptotically Optimal Bounds for (t,2) Broadcast Domination on Finite Grids

Timothy W. Randolph

arxiv:1805.06058 v2 · 2018-05-15 · 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{K2VO4ICC65LDTYUXCLQK7AYW6S}

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	2026-05-17T23:58:48.012106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56aaee2042f75639e29712e0af8316f4a2747a715e3141e5b65123394cfa4c2f

Aliases

arxiv: 1805.06058 · arxiv_version: 1805.06058v2 · doi: 10.48550/arxiv.1805.06058 · pith_short_12: K2VO4ICC65LD · pith_short_16: K2VO4ICC65LDTYUX · pith_short_8: K2VO4ICC

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/K2VO4ICC65LDTYUXCLQK7AYW6S \
  | 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: 56aaee2042f75639e29712e0af8316f4a2747a715e3141e5b65123394cfa4c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7f7704f2a6053351a1ee85946537701bac45b8e654d5e6fbab28ccff00cb0c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-15T22:47:40Z",
    "title_canon_sha256": "0ae60863cf78756d23ef980468f7587cfd47e730749a5465e990c62f88f1a1f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06058",
    "kind": "arxiv",
    "version": 2
  }
}