Pith Number

pith:L4MJAL2U

pith:2009:L4MJAL2UD6BL6WRIKI5AZ2ALA4

not attested not anchored not stored refs pending

On the half-plane property and the Tutte group of a matroid

Petter Br\"and\'en, Rafael S. Gonz\'alez D'Le\'on

arxiv:0906.1071 v2 · 2009-06-05 · 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{L4MJAL2UD6BL6WRIKI5AZ2ALA4}

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	2026-05-18T03:57:50.915046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f18902f541f82bf5a28523a0ce80b0734217ac2e2c2ebd0490ece032717c5df

Aliases

arxiv: 0906.1071 · arxiv_version: 0906.1071v2 · doi: 10.48550/arxiv.0906.1071 · pith_short_12: L4MJAL2UD6BL · pith_short_16: L4MJAL2UD6BL6WRI · pith_short_8: L4MJAL2U

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/L4MJAL2UD6BL6WRIKI5AZ2ALA4 \
  | 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: 5f18902f541f82bf5a28523a0ce80b0734217ac2e2c2ebd0490ece032717c5df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dd02aa9acea5f307ff712942fa2b2158cb3ea91c7fc9c15c9bd0e79448121da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-06-05T09:14:12Z",
    "title_canon_sha256": "4a5be9dc84169fe0bf1832ad90827e828ec474ee02379f799fd1c934fc9d44b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1071",
    "kind": "arxiv",
    "version": 2
  }
}