Pith Number

pith:6ZU2PFAC

pith:2012:6ZU2PFACR4HNH7JSGBLEZOPVKQ

not attested not anchored not stored refs pending

Symmetries of embedded complete bipartite graphs

Blake Mellor, Erica Flapan, Matt Pittluck, Nicole Lehle, Xan Vongsathorn

arxiv:1205.4052 v3 · 2012-05-17 · math.GT · 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{6ZU2PFACR4HNH7JSGBLEZOPVKQ}

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	2026-05-18T00:08:24.461507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f669a794028f0ed3fd3230564cb9f5542e56e41cda299248d483674e72018af3

Aliases

arxiv: 1205.4052 · arxiv_version: 1205.4052v3 · doi: 10.48550/arxiv.1205.4052 · pith_short_12: 6ZU2PFACR4HN · pith_short_16: 6ZU2PFACR4HNH7JS · pith_short_8: 6ZU2PFAC

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/6ZU2PFACR4HNH7JSGBLEZOPVKQ \
  | 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: f669a794028f0ed3fd3230564cb9f5542e56e41cda299248d483674e72018af3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d3be8471f72a967978f2c7ade0292f4e431339e43852d6993a8792081a8ada3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-17T22:06:02Z",
    "title_canon_sha256": "363d3931771faa98d89a003d63be71f7278f085e8161cdd9cb8b6ec5824e427a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.4052",
    "kind": "arxiv",
    "version": 3
  }
}