Pith Number

pith:R4OQF4OR

pith:2024:R4OQF4ORLZCRCSAH55HE6AYWRM

not attested not anchored not stored refs pending

The Explicit Hypergeometric-Modularity Method I

Brian Grove, Fang-Ting Tu, Ling Long, Michael Allen

arxiv:2404.00711 v4 · 2024-03-31 · 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{R4OQF4ORLZCRCSAH55HE6AYWRM}

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

Modular Forms and Certain ${}_2F_1(1)$ Hypergeometric Series

Receipt and verification

First computed	2026-07-05T11:24:03.290663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f1d02f1d15e45114807ef4e4f03168b19e0fed2232a54b16c49e0129c827364

Aliases

arxiv: 2404.00711 · arxiv_version: 2404.00711v4 · doi: 10.48550/arxiv.2404.00711 · pith_short_12: R4OQF4ORLZCR · pith_short_16: R4OQF4ORLZCRCSAH · pith_short_8: R4OQF4OR

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/R4OQF4ORLZCRCSAH55HE6AYWRM \
  | 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: 8f1d02f1d15e45114807ef4e4f03168b19e0fed2232a54b16c49e0129c827364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b8adc78aca8815c240707a853ded53dcd277427d53d51554045de876d478af",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-03-31T15:08:59Z",
    "title_canon_sha256": "fc82cfefa58868713dfe8071b3f370c0571673203a7d8e572b6b3ac9b3b58f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.00711",
    "kind": "arxiv",
    "version": 4
  }
}