Pith Number

pith:TUWLQ3NC

pith:2023:TUWLQ3NC7HQSIJSGJDCE6WQML2

not attested not anchored not stored refs pending

Wilf-Zeilberger seeds and non-trivial hypergeometric identities

Kam Cheong Au

arxiv:2312.14051 v4 · 2023-12-21 · math.CO · 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{TUWLQ3NC7HQSIJSGJDCE6WQML2}

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

Fast Ramanujan-type Series for Logarithms. Part I

Receipt and verification

First computed	2026-07-05T10:06:38.550087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d2cb86da2f9e124264648c44f5a0c5eb644eb4ded5962b05638652f42872f9a

Aliases

arxiv: 2312.14051 · arxiv_version: 2312.14051v4 · doi: 10.48550/arxiv.2312.14051 · pith_short_12: TUWLQ3NC7HQS · pith_short_16: TUWLQ3NC7HQSIJSG · pith_short_8: TUWLQ3NC

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/TUWLQ3NC7HQSIJSGJDCE6WQML2 \
  | 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: 9d2cb86da2f9e124264648c44f5a0c5eb644eb4ded5962b05638652f42872f9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d4c62b66c381649492b3151047346651ab6884c38852e0261567607084a96ab",
    "cross_cats_sorted": [
      "math.CA",
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-12-21T17:20:04Z",
    "title_canon_sha256": "a36e19742762e8ec5a71b2caa1ff5f4f49890a2d43693d6f2dedfa27520e693c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.14051",
    "kind": "arxiv",
    "version": 4
  }
}