Pith Number

pith:KFCCXS2A

pith:2019:KFCCXS2AU3R7ZF3AG6BQPSXHKF

not attested not anchored not stored refs pending

Failed power domination on graphs

Abraham Glasser, Bonnie Jacob, Emily Lederman, Stanis{\l}aw Radziszowski

arxiv:1909.02057 v1 · 2019-09-04 · 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{KFCCXS2AU3R7ZF3AG6BQPSXHKF}

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	2026-07-05T00:02:29.827469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51442bcb40a6e3fc9760378307cae751777ce29eb3a30b8d918f19fffce1aa1c

Aliases

arxiv: 1909.02057 · arxiv_version: 1909.02057v1 · doi: 10.48550/arxiv.1909.02057 · pith_short_12: KFCCXS2AU3R7 · pith_short_16: KFCCXS2AU3R7ZF3A · pith_short_8: KFCCXS2A

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/KFCCXS2AU3R7ZF3AG6BQPSXHKF \
  | 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: 51442bcb40a6e3fc9760378307cae751777ce29eb3a30b8d918f19fffce1aa1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9391211d86b9331f24c4dfdd0b8bc45158c0e27613ca4362cee772caff435a42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-09-04T19:05:32Z",
    "title_canon_sha256": "1c54cae3b3f73f0ef71e135a755a882b061f3c7ddcb711c6a4dc1a01fae9c286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02057",
    "kind": "arxiv",
    "version": 1
  }
}