Pith Number

pith:6ZXNOZT3

pith:2013:6ZXNOZT3DRZ6NLOONH4FTLS5FZ

not attested not anchored not stored refs pending

Minors of a Class of Riordan Arrays Related to Weighted Partial Motzkin Paths

Luping Ma, Yidong Sun

arxiv:1305.2015 v1 · 2013-05-09 · 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{6ZXNOZT3DRZ6NLOONH4FTLS5FZ}

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

Model Collapse as Cultural Evolution

Receipt and verification

First computed	2026-05-18T03:26:09.567633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f66ed7667b1c73e6adce69f859ae5d2e615b1dd1d2190e5ef8cfc8081a7bbf8d

Aliases

arxiv: 1305.2015 · arxiv_version: 1305.2015v1 · doi: 10.48550/arxiv.1305.2015 · pith_short_12: 6ZXNOZT3DRZ6 · pith_short_16: 6ZXNOZT3DRZ6NLOO · pith_short_8: 6ZXNOZT3

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/6ZXNOZT3DRZ6NLOONH4FTLS5FZ \
  | 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: f66ed7667b1c73e6adce69f859ae5d2e615b1dd1d2190e5ef8cfc8081a7bbf8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5a568622c8d34f0a1de94393020d7bf10cdc583c71895c0fd2b73c3e55236e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-09T06:51:29Z",
    "title_canon_sha256": "f79158253147a3628767c5dbbb40ff87a32c6115923c366fe77531e406a4114f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2015",
    "kind": "arxiv",
    "version": 1
  }
}