Pith Number

pith:HFPH3INL

pith:2017:HFPH3INLDYJPTOPNKBVIXQNUPI

not attested not anchored not stored refs pending

A Cubic Transformation Formula for Appell-Lauricella Hypergeometric Functions over Finite Fields

Fang-Ting Tu, Holly Swisher, Sharon Frechette

arxiv:1701.04526 v2 · 2017-01-17 · 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{HFPH3INLDYJPTOPNKBVIXQNUPI}

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	2026-05-18T00:52:30.593279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

395e7da1ab1e12f9b9ed506a8bc1b47a0f4d710cdb86a395424e3b01f8735323

Aliases

arxiv: 1701.04526 · arxiv_version: 1701.04526v2 · doi: 10.48550/arxiv.1701.04526 · pith_short_12: HFPH3INLDYJP · pith_short_16: HFPH3INLDYJPTOPN · pith_short_8: HFPH3INL

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/HFPH3INLDYJPTOPNKBVIXQNUPI \
  | 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: 395e7da1ab1e12f9b9ed506a8bc1b47a0f4d710cdb86a395424e3b01f8735323

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f398b8d2e34794d72b12c6074ad6644990ebef102361ad8b6a1ba968e4f5e37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-17T04:50:50Z",
    "title_canon_sha256": "d44f56dc22df0840e60b96e2aeaa9769bae9fe194e23e8d243dc24ecd72ef94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04526",
    "kind": "arxiv",
    "version": 2
  }
}