Pith Number

pith:3O2FH3SO

pith:2019:3O2FH3SOS2PXNNCRWHYCJH2WYD

not attested not anchored not stored refs pending

Reducing the domination number of graphs via edge contractions

Bernard Ries, Esther Galby, Paloma T. Lima

arxiv:1903.01800 v1 · 2019-03-05 · cs.CC · 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{3O2FH3SOS2PXNNCRWHYCJH2WYD}

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	2026-05-17T23:51:59.715213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbb453ee4e969f76b451b1f0249f56c0f2a73b2f17b5b186a14b3320137750a8

Aliases

arxiv: 1903.01800 · arxiv_version: 1903.01800v1 · doi: 10.48550/arxiv.1903.01800 · pith_short_12: 3O2FH3SOS2PX · pith_short_16: 3O2FH3SOS2PXNNCR · pith_short_8: 3O2FH3SO

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/3O2FH3SOS2PXNNCRWHYCJH2WYD \
  | 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: dbb453ee4e969f76b451b1f0249f56c0f2a73b2f17b5b186a14b3320137750a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798f902ee3521bf55a1306b2b872422ed6203b8e8aa49271a564df8006c2a834",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2019-03-05T12:57:39Z",
    "title_canon_sha256": "c1e56c6c6039b5eb10339fbbc0b2fce849917a53cbbc51d2d6e18561c313b86d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.01800",
    "kind": "arxiv",
    "version": 1
  }
}