Pith Number

pith:NXCLQV6U

pith:2024:NXCLQV6U2QHKYNXY2QP32AX2FR

not attested not anchored not stored refs pending

Parity statistics on restricted permutations and the Catalan--Schett polynomials

Jing Liu, Sherry H.F. Yan, Zhicong Lin

arxiv:2409.01558 v1 · 2024-09-03 · 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{NXCLQV6U2QHKYNXY2QP32AX2FR}

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

Bijections in weakly increasing trees via binary trees

Receipt and verification

First computed	2026-07-05T09:02:30.840724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dc4b857d4d40eac36f8d41fbd02fa2c4f3a17056ff3764db4febd46458f8c65

Aliases

arxiv: 2409.01558 · arxiv_version: 2409.01558v1 · doi: 10.48550/arxiv.2409.01558 · pith_short_12: NXCLQV6U2QHK · pith_short_16: NXCLQV6U2QHKYNXY · pith_short_8: NXCLQV6U

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/NXCLQV6U2QHKYNXY2QP32AX2FR \
  | 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: 6dc4b857d4d40eac36f8d41fbd02fa2c4f3a17056ff3764db4febd46458f8c65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65ed4fe8437ee155704e879d05a5a258b75b5cea5e7a88e8d05b7ad2215fde60",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-03T02:54:43Z",
    "title_canon_sha256": "9a3c4b5f8939ce74b5e924786abf65db8cea21a622c718db6466a4a2c6f279ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01558",
    "kind": "arxiv",
    "version": 1
  }
}