Pith Number

pith:A7S7CIJ6

pith:2018:A7S7CIJ6XV6RUIDSOWYZGK2XCT

not attested not anchored not stored refs pending

Addressing Johnson graphs, complete multipartite graphs, odd cycles and other graphs

Brandon D. Gilbert, Brendan D. McKay, Jack H. Koolen, Noga Alon, Sebastian M. Cioab\u{a}

arxiv:1808.04757 v2 · 2018-08-14 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A7S7CIJ6XV6RUIDSOWYZGK2XCT}

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	2026-05-18T00:02:09.298246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07e5f1213ebd7d1a207275b1932b5714ce6dd3459f97c2729b8e8cdeb6cf5b00

Aliases

arxiv: 1808.04757 · arxiv_version: 1808.04757v2 · doi: 10.48550/arxiv.1808.04757 · pith_short_12: A7S7CIJ6XV6R · pith_short_16: A7S7CIJ6XV6RUIDS · pith_short_8: A7S7CIJ6

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/A7S7CIJ6XV6RUIDSOWYZGK2XCT \
  | 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: 07e5f1213ebd7d1a207275b1932b5714ce6dd3459f97c2729b8e8cdeb6cf5b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b843b2c507d907ce5f3859d2e840164cca3676472325a7ce6694ed1093ff38d3",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-14T15:42:56Z",
    "title_canon_sha256": "52a0b87690ef711ed40374fd7bf2f88bad800f6ba0771076ea2568f1a10ba3b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04757",
    "kind": "arxiv",
    "version": 2
  }
}