Pith Number

pith:HYHV7HST

pith:2004:HYHV7HST6CMXYYZFEUMSR6KYIF

not attested not anchored not stored refs pending

Some curious q-series expansions and beta integral evaluations

George Gasper, Michael Schlosser

arxiv:math/0403481 v1 · 2004-03-29 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYHV7HST6CMXYYZFEUMSR6KYIF}

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	2026-05-17T23:53:03.243014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e0f5f9e53f0997c6325251928f9584169670a6196c6fe52d5f5819709d1985d

Aliases

arxiv: math/0403481 · arxiv_version: math/0403481v1 · doi: 10.48550/arxiv.math/0403481 · pith_short_12: HYHV7HST6CMX · pith_short_16: HYHV7HST6CMXYYZF · pith_short_8: HYHV7HST

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/HYHV7HST6CMXYYZFEUMSR6KYIF \
  | 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: 3e0f5f9e53f0997c6325251928f9584169670a6196c6fe52d5f5819709d1985d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aaf0cb4e0e5f75d99873e2b5f95d7d6881513db8f9c313d3dec12ed946914f7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2004-03-29T19:56:16Z",
    "title_canon_sha256": "94c815eac1f0b256f1542d3c50fe06e921ec339d3bff23d047fe8ccbda0c16cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403481",
    "kind": "arxiv",
    "version": 1
  }
}