Pith Number

pith:CFJOPFFE

pith:2016:CFJOPFFEZZOASRDAWZ4LLDM2GJ

not attested not anchored not stored refs pending

On total domination in the Cartesian product of graphs

Bo\v{s}tjan Bre\v{s}ar, Martin Milani\v{c}, Tatiana Romina Hartinger, Tim Kos

arxiv:1607.01909 v2 · 2016-07-07 · 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{CFJOPFFEZZOASRDAWZ4LLDM2GJ}

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	2026-05-18T00:53:50.829817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1152e794a4ce5c094460b678b58d9a325dea89a8e4d84094a6884186a7297528

Aliases

arxiv: 1607.01909 · arxiv_version: 1607.01909v2 · doi: 10.48550/arxiv.1607.01909 · pith_short_12: CFJOPFFEZZOA · pith_short_16: CFJOPFFEZZOASRDA · pith_short_8: CFJOPFFE

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/CFJOPFFEZZOASRDAWZ4LLDM2GJ \
  | 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: 1152e794a4ce5c094460b678b58d9a325dea89a8e4d84094a6884186a7297528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7118ac147a571fd0f996a4ed5a86c9f8ee03c5a1d22518b8a0909442fc65a394",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-07-07T08:21:43Z",
    "title_canon_sha256": "a97e5e98d74c8e3bddda9b8327e9257dc4327e60ecc1a2878e053806941ef64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.01909",
    "kind": "arxiv",
    "version": 2
  }
}