Pith Number

pith:MTW5USND

pith:2019:MTW5USNDSMFQHKY5LC5OICGBTB

not attested not anchored not stored refs pending

Zero Forcing sets and Power Dominating sets of cardinality at most 2

Adel P. Kazemi, Ignacio M. Pelayo, Najibeh Shahbaznejad

arxiv:1908.03039 v1 · 2019-08-08 · 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{MTW5USNDSMFQHKY5LC5OICGBTB}

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	2026-07-04T23:52:25.629877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64edda49a3930b03ab1d58bae408c19872f29bfc9d22707e0daa2ebc225f4a8c

Aliases

arxiv: 1908.03039 · arxiv_version: 1908.03039v1 · doi: 10.48550/arxiv.1908.03039 · pith_short_12: MTW5USNDSMFQ · pith_short_16: MTW5USNDSMFQHKY5 · pith_short_8: MTW5USND

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/MTW5USNDSMFQHKY5LC5OICGBTB \
  | 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: 64edda49a3930b03ab1d58bae408c19872f29bfc9d22707e0daa2ebc225f4a8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3e3c2832b4753e9317603b692d57cf8cbde023b643d8e52f80c734015876615",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-08-08T12:35:34Z",
    "title_canon_sha256": "dd1c1044e6f021c086906dc57ca4e7f9ce1869f60f001c5836347c2dc74be48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03039",
    "kind": "arxiv",
    "version": 1
  }
}