Pith Number

pith:Z22DFAH2

pith:2017:Z22DFAH2FT34ZZVGZZZNWERUAS

not attested not anchored not stored refs pending

Gustafson-Rakha-Type Elliptic Hypergeometric Series

Hjalmar Rosengren

arxiv:1701.08960 v3 · 2017-01-31 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z22DFAH2FT34ZZVGZZZNWERUAS}

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	2026-05-18T00:43:17.985103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb43280fa2cf7cce6a6ce72db123404ac96299d22132b107e724780cfad2667

Aliases

arxiv: 1701.08960 · arxiv_version: 1701.08960v3 · doi: 10.48550/arxiv.1701.08960 · pith_short_12: Z22DFAH2FT34 · pith_short_16: Z22DFAH2FT34ZZVG · pith_short_8: Z22DFAH2

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/Z22DFAH2FT34ZZVGZZZNWERUAS \
  | 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: ceb43280fa2cf7cce6a6ce72db123404ac96299d22132b107e724780cfad2667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "705a5ec38697cd266c725c07cffafde793ab0b9bb75889b81d11fdfea36a4c09",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-01-31T09:37:21Z",
    "title_canon_sha256": "06b5faa65428122dccbadcece564d911399d8af903d50772983dbecf92e100c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08960",
    "kind": "arxiv",
    "version": 3
  }
}