Pith Number

pith:KH3X4E7J

pith:2018:KH3X4E7JXYHSVNJZMS63CF5DCU

not attested not anchored not stored refs pending

Exact distance graphs of product graphs

Bo\v{s}tjan Bre\v{s}ar, Nicolas Gastineau, Olivier Togni, Sandi Klav\v{z}ar

arxiv:1810.10198 v1 · 2018-10-24 · 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{KH3X4E7JXYHSVNJZMS63CF5DCU}

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	2026-05-18T00:02:23.952846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f77e13e9be0f2ab53964bdb117a31530b432c7f36c6504d2b8cdffc3edfafe

Aliases

arxiv: 1810.10198 · arxiv_version: 1810.10198v1 · doi: 10.48550/arxiv.1810.10198 · pith_short_12: KH3X4E7JXYHS · pith_short_16: KH3X4E7JXYHSVNJZ · pith_short_8: KH3X4E7J

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/KH3X4E7JXYHSVNJZMS63CF5DCU \
  | 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: 51f77e13e9be0f2ab53964bdb117a31530b432c7f36c6504d2b8cdffc3edfafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61f0878100baa464ce841688d8436ed59f5a7be3fe573484d29e2ec60772b3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-10-24T06:00:15Z",
    "title_canon_sha256": "0cfbf4954117edbf90560a395f35875dcba906c89315c50cb2e366f841301a5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10198",
    "kind": "arxiv",
    "version": 1
  }
}