Pith Number

pith:7YSMCWRZ

pith:2017:7YSMCWRZVYSOCZNXCHP6FSKYXG

not attested not anchored not stored refs pending

The 4-girth-thickness of the complete graph

Christian Rubio-Montiel

arxiv:1703.03800 v3 · 2017-03-10 · 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{7YSMCWRZVYSOCZNXCHP6FSKYXG}

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	2026-05-18T00:04:24.159835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe24c15a39ae24e165b711dfe2c958b9b48fe127b68d3de6b204bf77c8dc8116

Aliases

arxiv: 1703.03800 · arxiv_version: 1703.03800v3 · doi: 10.48550/arxiv.1703.03800 · pith_short_12: 7YSMCWRZVYSO · pith_short_16: 7YSMCWRZVYSOCZNX · pith_short_8: 7YSMCWRZ

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/7YSMCWRZVYSOCZNXCHP6FSKYXG \
  | 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: fe24c15a39ae24e165b711dfe2c958b9b48fe127b68d3de6b204bf77c8dc8116

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fc59b3c71a5f3b7ef42046ed0d9504998c56d9e00d89618d7d541bf19639d6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-10T18:56:12Z",
    "title_canon_sha256": "8814b87862e0aa05f56e63241861d159d73e71c313a39ecce53ee6d742194f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03800",
    "kind": "arxiv",
    "version": 3
  }
}