Pith Number

pith:S32YZELY

pith:2024:S32YZELYATHDVXXI2YC2TYIOGW

not attested not anchored not stored refs pending

The ascent lattice on Dyck paths

Jean-Luc Baril, Mehdi Naima, Mireille Bousquet-M\'elou, Sergey Kirgizov

arxiv:2409.15982 v2 · 2024-09-24 · 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{S32YZELYATHDVXXI2YC2TYIOGW}

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.

Cited by

1 paper in Pith

Intervals in a family of Fibonacci lattices

Receipt and verification

First computed	2026-07-05T11:10:32.227026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96f58c917804ce3adee8d605a9e10e359d1ee92e142f45cb0ac77cb95b43033e

Aliases

arxiv: 2409.15982 · arxiv_version: 2409.15982v2 · doi: 10.48550/arxiv.2409.15982 · pith_short_12: S32YZELYATHD · pith_short_16: S32YZELYATHDVXXI · pith_short_8: S32YZELY

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/S32YZELYATHDVXXI2YC2TYIOGW \
  | 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: 96f58c917804ce3adee8d605a9e10e359d1ee92e142f45cb0ac77cb95b43033e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6338722da2ac147d08eae7da0f7fc2060580f54502ce7ced06e032afb12743b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-24T11:27:42Z",
    "title_canon_sha256": "6c35fb94b77fc984094ad0bf0e2f1a7bea2445010ec71d2d0797e35d991dc7e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.15982",
    "kind": "arxiv",
    "version": 2
  }
}