Pith Number

pith:JSWI74X4

pith:2023:JSWI74X4SILQDQYRZNW4UOOSI4

not attested not anchored not stored refs pending

On the $nk-attack Roman Dominating Number of a Graph

Garrison Koch, Nathan Shank

arxiv:2305.16256 v3 · 2023-05-25 · 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{JSWI74X4SILQDQYRZNW4UOOSI4}

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	2026-07-05T08:59:58.667551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cac8ff2fc921701c311cb6dca39d2470953c7707a482fe091ad38e5b9a14706

Aliases

arxiv: 2305.16256 · arxiv_version: 2305.16256v3 · doi: 10.48550/arxiv.2305.16256 · pith_short_12: JSWI74X4SILQ · pith_short_16: JSWI74X4SILQDQYR · pith_short_8: JSWI74X4

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/JSWI74X4SILQDQYRZNW4UOOSI4 \
  | 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: 4cac8ff2fc921701c311cb6dca39d2470953c7707a482fe091ad38e5b9a14706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c36c7dd5e027fb55a5731dbc33a06e17cb5ddcd82998caa61445dfb7d7c8cb60",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-25T17:11:32Z",
    "title_canon_sha256": "e29ddd60317141d976657a5f67aab9b66eadd93dd427ce2872f85c6a6d6b708a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.16256",
    "kind": "arxiv",
    "version": 3
  }
}