Pith Number

pith:ZKFRRQYZ

pith:2015:ZKFRRQYZMLHA3ETKCVLPFJXQ6J

not attested not anchored not stored refs pending

A Tutte polynomial inequality for lattice path matroids

Jorge Luis Ram\'irez Alfons\'in, Kolja Knauer, Leonardo Mart\'inez-Sandoval

arxiv:1510.00600 v4 · 2015-10-02 · 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{ZKFRRQYZMLHA3ETKCVLPFJXQ6J}

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	2026-05-18T01:01:08.780217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca8b18c31962ce0d926a1556f2a6f0f244367c020b23550dc251793266e10d7f

Aliases

arxiv: 1510.00600 · arxiv_version: 1510.00600v4 · doi: 10.48550/arxiv.1510.00600 · pith_short_12: ZKFRRQYZMLHA · pith_short_16: ZKFRRQYZMLHA3ETK · pith_short_8: ZKFRRQYZ

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/ZKFRRQYZMLHA3ETKCVLPFJXQ6J \
  | 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: ca8b18c31962ce0d926a1556f2a6f0f244367c020b23550dc251793266e10d7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908295613969cd8a5e2eee92ac1ee3b3a72cad218e475b8fe60e8536a70eb7e6",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-10-02T13:59:12Z",
    "title_canon_sha256": "446452cb2cbbcade6227a8232c2e2c96c4e78b105c6e1186d89cceea4913711d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.00600",
    "kind": "arxiv",
    "version": 4
  }
}