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Pith Number

pith:Y2U474O2

pith:2019:Y2U474O22ERD4BV4OVWSYX4BCF
not attested not anchored not stored refs pending

Catalan and Motzkin Integral Representations

Asamoah Nkwanta, Peter McCalla

arxiv:1901.07092 v1 · 2019-01-21 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y2U474O22ERD4BV4OVWSYX4BCF}

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 2026-05-17T23:55:48.176891Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c6a9cff1dad1223e06bc756d2c5f811141ff89e38fa4f1202aa83bf522ddd834

Aliases

arxiv: 1901.07092 · arxiv_version: 1901.07092v1 · doi: 10.48550/arxiv.1901.07092 · pith_short_12: Y2U474O22ERD · pith_short_16: Y2U474O22ERD4BV4 · pith_short_8: Y2U474O2
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y2U474O22ERD4BV4OVWSYX4BCF \
  | 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: c6a9cff1dad1223e06bc756d2c5f811141ff89e38fa4f1202aa83bf522ddd834
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c66f68a5f587c8d800285f95d810a5edc773243cad72e5009e20412e7af91427",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-01-21T21:47:44Z",
    "title_canon_sha256": "3ccddd8c7e6828ed18982507685b9cd0fe6d7afa2fd0a5223bee6cc885c18bd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.07092",
    "kind": "arxiv",
    "version": 1
  }
}