Pith Number

pith:7QAUUXJ2

pith:2017:7QAUUXJ2DT4H7FZYZGB3NRJRMY

not attested not anchored not stored refs pending

Weighted Lattice Paths Enumeration by Gaussian Polynomials

Ivana Zubac, Ivica Martinjak

arxiv:1712.07483 v1 · 2017-12-20 · 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{7QAUUXJ2DT4H7FZYZGB3NRJRMY}

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	2026-05-18T00:27:34.430865Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc014a5d3a1cf87f9738c983b6c531662462f46b30422a5d3acf1d4684f13c09

Aliases

arxiv: 1712.07483 · arxiv_version: 1712.07483v1 · doi: 10.48550/arxiv.1712.07483 · pith_short_12: 7QAUUXJ2DT4H · pith_short_16: 7QAUUXJ2DT4H7FZY · pith_short_8: 7QAUUXJ2

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/7QAUUXJ2DT4H7FZYZGB3NRJRMY \
  | 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: fc014a5d3a1cf87f9738c983b6c531662462f46b30422a5d3acf1d4684f13c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac8a83894270925bddf6037f07715ca49005c4f8739c6704bef86d4bb1a287de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-12-20T13:57:58Z",
    "title_canon_sha256": "9ab2c47d2cbb14c6a1bd5f6c57ea57040dd475241c37b69230bb527feeef49d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07483",
    "kind": "arxiv",
    "version": 1
  }
}