Pith Number

pith:4CPLGSCB

pith:2019:4CPLGSCB6DN67G56ARPO5MQFPG

not attested not anchored not stored refs pending

Disjoint dominating and 2-dominating sets in graphs

Jerzy Topp, Mateusz Miotk, Pawe{\l} \.Zyli\'nski

arxiv:1903.06129 v1 · 2019-03-14 · 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{4CPLGSCB6DN67G56ARPO5MQFPG}

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	2026-05-17T23:51:15.287181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09eb34841f0dbef9bbe045eeeb20579ab93c873ed65b6b37d5a0c4e56135abb

Aliases

arxiv: 1903.06129 · arxiv_version: 1903.06129v1 · doi: 10.48550/arxiv.1903.06129 · pith_short_12: 4CPLGSCB6DN6 · pith_short_16: 4CPLGSCB6DN67G56 · pith_short_8: 4CPLGSCB

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/4CPLGSCB6DN67G56ARPO5MQFPG \
  | 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: e09eb34841f0dbef9bbe045eeeb20579ab93c873ed65b6b37d5a0c4e56135abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1312f2a7b2c4c659e8dad307b7923740d74bd8314cc57a33323fe239ba282427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-03-14T17:03:26Z",
    "title_canon_sha256": "d48f9c11d62ebc68123f8df0461264c200cd5fd58020d05054290c39278e570f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06129",
    "kind": "arxiv",
    "version": 1
  }
}