Pith Number

pith:CAWKGLYF

pith:2019:CAWKGLYF4IV2GMISQCD4QI7JYR

not attested not anchored not stored refs pending

On the integer {k}-domination number of circulant graphs

Chia-an Liu, Hung-Lin Fu, Yen-Jen Cheng

arxiv:1905.03388 v1 · 2019-05-08 · 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{CAWKGLYF4IV2GMISQCD4QI7JYR}

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	2026-05-17T23:46:40.144528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

102ca32f05e22ba331128087c823e9c4537d810a3e5ffe7ead35c84c10c1f2a8

Aliases

arxiv: 1905.03388 · arxiv_version: 1905.03388v1 · doi: 10.48550/arxiv.1905.03388 · pith_short_12: CAWKGLYF4IV2 · pith_short_16: CAWKGLYF4IV2GMIS · pith_short_8: CAWKGLYF

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/CAWKGLYF4IV2GMISQCD4QI7JYR \
  | 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: 102ca32f05e22ba331128087c823e9c4537d810a3e5ffe7ead35c84c10c1f2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "052631aaca5d5ba9e89ca7019b5ab06534d38e81dd6650edd93f28f432048012",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-05-08T23:14:56Z",
    "title_canon_sha256": "3fc8297cf19e2e1a2e9bcde97cfc5b0a7fdf00447ecc5acb05850eee0da8c4a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.03388",
    "kind": "arxiv",
    "version": 1
  }
}