Pith Number

pith:KGOTWOTI

pith:2015:KGOTWOTILAE6MHF7YU6M6SAAA3

not attested not anchored not stored refs pending

Proof of a conjecture on the zero forcing number of a graph

Baoyindureng Wu, Leihao Lu, Zixing Tang

arxiv:1507.01364 v1 · 2015-07-06 · 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{KGOTWOTILAE6MHF7YU6M6SAAA3}

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	2026-05-18T01:37:17.167374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

519d3b3a685809e61cbfc53ccf480006eca158b3dc03ad311e5dc08c0bb9946b

Aliases

arxiv: 1507.01364 · arxiv_version: 1507.01364v1 · doi: 10.48550/arxiv.1507.01364 · pith_short_12: KGOTWOTILAE6 · pith_short_16: KGOTWOTILAE6MHF7 · pith_short_8: KGOTWOTI

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/KGOTWOTILAE6MHF7YU6M6SAAA3 \
  | 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: 519d3b3a685809e61cbfc53ccf480006eca158b3dc03ad311e5dc08c0bb9946b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d8371e531e6b534784994859c4eba44e15b0419284382e888163a27d897b0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-07-06T09:30:55Z",
    "title_canon_sha256": "e806bbb677a9ad5412c446940803fdde9d2870947dd454ebd19970e4f95aa68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01364",
    "kind": "arxiv",
    "version": 1
  }
}