Pith Number

pith:T3JVEI4N

pith:2023:T3JVEI4NE3LIXBL6PAGPKRMMKZ

not attested not anchored not stored refs pending

An Introduction to PMU-Defect-Robust Power Domination: Bounds, Bipartites, and Block Graphs

Beth Bjorkman, Esther Conrad, Mary Flagg

arxiv:2312.07377 v1 · 2023-12-12 · 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{T3JVEI4NE3LIXBL6PAGPKRMMKZ}

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.

Cited by

1 paper in Pith

On Fragile Power Domination

Receipt and verification

First computed	2026-07-05T07:23:18.827653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ed352238d26d68b857e780cf5458c5643df8c889c8ae14e1c0714e04aaa1b59

Aliases

arxiv: 2312.07377 · arxiv_version: 2312.07377v1 · doi: 10.48550/arxiv.2312.07377 · pith_short_12: T3JVEI4NE3LI · pith_short_16: T3JVEI4NE3LIXBL6 · pith_short_8: T3JVEI4N

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/T3JVEI4NE3LIXBL6PAGPKRMMKZ \
  | 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: 9ed352238d26d68b857e780cf5458c5643df8c889c8ae14e1c0714e04aaa1b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab97bb48524dc5b16797f96a5d4f49f0fbd6b2ab6ffecd8b81ab480438b2d64",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-12T15:45:36Z",
    "title_canon_sha256": "f78ddb6561256c0cebdbe3fceec7a0c8d9249051479798e80111aa55b6dbde0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.07377",
    "kind": "arxiv",
    "version": 1
  }
}