Pith Number

pith:BQ5G3Y3Z

pith:2012:BQ5G3Y3ZCYFYK3TS3NROMZXOO2

not attested not anchored not stored refs pending

Compositions constrained by graph Laplacian minors

Ashley Harrison, Benjamin Braun, Clifford Taylor, Jenna Noll, Jessica McKim, Robert Davis

arxiv:1202.2013 v1 · 2012-02-09 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQ5G3Y3ZCYFYK3TS3NROMZXOO2}

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	2026-05-18T04:02:38.513947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3a6de379160b856e72db62e666ee7696521ef4638a6d072de1d685d12680e7

Aliases

arxiv: 1202.2013 · arxiv_version: 1202.2013v1 · doi: 10.48550/arxiv.1202.2013 · pith_short_12: BQ5G3Y3ZCYFY · pith_short_16: BQ5G3Y3ZCYFYK3TS · pith_short_8: BQ5G3Y3Z

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/BQ5G3Y3ZCYFYK3TS3NROMZXOO2 \
  | 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: 0c3a6de379160b856e72db62e666ee7696521ef4638a6d072de1d685d12680e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a128c1cb16405f8ea19714716d27e60058300bcef784bcddaca0ada2fb14b9db",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-09T15:18:31Z",
    "title_canon_sha256": "2881b73c775774e679ddba0a9d6eccd0513328c861683f896641cba2d616a721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2013",
    "kind": "arxiv",
    "version": 1
  }
}