pith. sign in
Pith Number

pith:VZKSTV3G

pith:2017:VZKSTV3G4T7RY7BQVBAXKT4NS7
not attested not anchored not stored refs pending

Catalan States of Lattice Crossing: Application of Plucking Polynomial

Jozef H. Przytycki, Mieczyslaw K. Dabkowski

arxiv:1711.05328 v1 · 2017-11-14 · math.GT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VZKSTV3G4T7RY7BQVBAXKT4NS7}

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 2026-05-18T00:30:33.644148Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

ae5529d766e4ff1c7c30a841754f8d97cbd79bed6a1b3b93e0ef37f8abfdd376

Aliases

arxiv: 1711.05328 · arxiv_version: 1711.05328v1 · doi: 10.48550/arxiv.1711.05328 · pith_short_12: VZKSTV3G4T7R · pith_short_16: VZKSTV3G4T7RY7BQ · pith_short_8: VZKSTV3G
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VZKSTV3G4T7RY7BQVBAXKT4NS7 \
  | 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: ae5529d766e4ff1c7c30a841754f8d97cbd79bed6a1b3b93e0ef37f8abfdd376
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0c9fb7f0bad3bd2016c40f94a5c30263b3fb7540854fbdb62ab27b607210da70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-14T22:06:33Z",
    "title_canon_sha256": "b4abb5b8ffd6a7544b58ec9217939e62925653ca40cf720e95ef313b07ecac02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.05328",
    "kind": "arxiv",
    "version": 1
  }
}