Pith Number

pith:63YPZRJN

pith:2013:63YPZRJNZ5OM2DED3LU35RDUI6

not attested not anchored not stored refs pending

Upper bounds for domination related parameters in graphs on surfaces

Vladimir Samodivkin

arxiv:1310.1610 v1 · 2013-10-06 · 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{63YPZRJNZ5OM2DED3LU35RDUI6}

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	2026-05-18T03:11:11.310891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f0fcc52dcf5ccd0c83dae9bec47447a4255f0a2a61454cd68beddc3b5c5545

Aliases

arxiv: 1310.1610 · arxiv_version: 1310.1610v1 · doi: 10.48550/arxiv.1310.1610 · pith_short_12: 63YPZRJNZ5OM · pith_short_16: 63YPZRJNZ5OM2DED · pith_short_8: 63YPZRJN

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/63YPZRJNZ5OM2DED3LU35RDUI6 \
  | 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: f6f0fcc52dcf5ccd0c83dae9bec47447a4255f0a2a61454cd68beddc3b5c5545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b3eb033650a70a00d12dd6871eb041ddb5dd9227ba7716f503d760fa27a9ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-06T18:19:34Z",
    "title_canon_sha256": "9a3b26594921b169dfd7e13e553b23b10165daf9852bf901e32250fc456fdcea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1610",
    "kind": "arxiv",
    "version": 1
  }
}