Pith Number

pith:6OLU6LUI

pith:2016:6OLU6LUI32G3EMT7U6JNDTKESM

not attested not anchored not stored refs pending

The sub-$k$-domination number of a graph with applications to $k$-domination

Boris Brimkov, David Amos, John Asplund, Randy Davila

arxiv:1611.02379 v1 · 2016-11-08 · cs.DM · 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{6OLU6LUI32G3EMT7U6JNDTKESM}

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	2026-05-18T00:59:52.241705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3974f2e88de8db2327fa792d1cd44931beb280b9c45bc3c43c3dbbfc08cc2cb

Aliases

arxiv: 1611.02379 · arxiv_version: 1611.02379v1 · doi: 10.48550/arxiv.1611.02379 · pith_short_12: 6OLU6LUI32G3 · pith_short_16: 6OLU6LUI32G3EMT7 · pith_short_8: 6OLU6LUI

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/6OLU6LUI32G3EMT7U6JNDTKESM \
  | 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: f3974f2e88de8db2327fa792d1cd44931beb280b9c45bc3c43c3dbbfc08cc2cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e8c96fea55b7f5ab1f89e7f76120f123a64031cccd8a7a47bbe6aeb41cdf768",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2016-11-08T03:38:39Z",
    "title_canon_sha256": "daa3e28b8f30568a00be6d726c1903af2a91875c86c26d1d196531ad0917b603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02379",
    "kind": "arxiv",
    "version": 1
  }
}