Pith Number

pith:UCFDYHES

pith:2011:UCFDYHESYAFLYZ3BMKLFPVUDLX

not attested not anchored not stored refs pending

Central factorials under the Kontorovich-Lebedev transform of polynomials

Ana F. Loureiro, S. Yakubovich

arxiv:1110.6015 v2 · 2011-10-27 · math.CA · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCFDYHESYAFLYZ3BMKLFPVUDLX}

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	2026-05-18T04:01:25.911643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08a3c1c92c00abc6761629657d6835ddd118dd305d246bae49fdfbfbf68c5c2

Aliases

arxiv: 1110.6015 · arxiv_version: 1110.6015v2 · doi: 10.48550/arxiv.1110.6015 · pith_short_12: UCFDYHESYAFL · pith_short_16: UCFDYHESYAFLYZ3B · pith_short_8: UCFDYHES

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/UCFDYHESYAFLYZ3BMKLFPVUDLX \
  | 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: a08a3c1c92c00abc6761629657d6835ddd118dd305d246bae49fdfbfbf68c5c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcdafd67e59aa66b3d9f9c0a9e150c2209d9696dbc4935d63ff4491121b85bd8",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-10-27T08:57:51Z",
    "title_canon_sha256": "a566c447393f9d3aee6e249a948b0f840d737fc30eb546adc27e6258ee82c90e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6015",
    "kind": "arxiv",
    "version": 2
  }
}