Pith Number

pith:BCUZH3HX

pith:2018:BCUZH3HXF7IMDCS3PDBEFNLKDF

not attested not anchored not stored refs pending

$n$-arc and $n$-circle connected graph-like spaces

Max Pitz, Paul Gartside

arxiv:1807.02094 v1 · 2018-07-05 · math.CO · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCUZH3HXF7IMDCS3PDBEFNLKDF}

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	2026-05-18T00:11:24.286070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08a993ecf72fd0c18a5b78c242b56a19770a4a86f881b509d1470932dcf8d8a9

Aliases

arxiv: 1807.02094 · arxiv_version: 1807.02094v1 · doi: 10.48550/arxiv.1807.02094 · pith_short_12: BCUZH3HXF7IM · pith_short_16: BCUZH3HXF7IMDCS3 · pith_short_8: BCUZH3HX

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/BCUZH3HXF7IMDCS3PDBEFNLKDF \
  | 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: 08a993ecf72fd0c18a5b78c242b56a19770a4a86f881b509d1470932dcf8d8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2300930ada105bcd384d497739a155afede70e79583b12bea19076024a17b5bd",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-05T17:21:52Z",
    "title_canon_sha256": "45c8749a78c49219524bb63ad2c6f6b220e10984ce39b7ab27e00eee3092c92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02094",
    "kind": "arxiv",
    "version": 1
  }
}