Pith Number

pith:LV5EOHIZ

pith:2011:LV5EOHIZPH36OCZZ5GJECMODUZ

not attested not anchored not stored refs pending

Domination in Functigraphs

Cong X. Kang, Craig E. Larson, Eunjeong Yi, Linda Eroh, Ralucca Gera

arxiv:1106.1147 v1 · 2011-06-06 · 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{LV5EOHIZPH36OCZZ5GJECMODUZ}

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	2026-05-18T03:57:53.462236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d7a471d1979f7e70b39e9924131c3a651b87d4567a10d699de16331a8b458c1

Aliases

arxiv: 1106.1147 · arxiv_version: 1106.1147v1 · doi: 10.48550/arxiv.1106.1147 · pith_short_12: LV5EOHIZPH36 · pith_short_16: LV5EOHIZPH36OCZZ · pith_short_8: LV5EOHIZ

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/LV5EOHIZPH36OCZZ5GJECMODUZ \
  | 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: 5d7a471d1979f7e70b39e9924131c3a651b87d4567a10d699de16331a8b458c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d36c7f63ad2b2d48ad0f6fc671e7ffc281495d6fe2a048554ee56afc6928e637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-06T18:52:32Z",
    "title_canon_sha256": "4a9a193ad06f2bf3d3df28a66676342e17d3b35d07f56372ce7a5b35777c6cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1147",
    "kind": "arxiv",
    "version": 1
  }
}