Pith Number

pith:JKLDENOH

pith:2003:JKLDENOHG4P2KGI22IASTZOT5U

not attested not anchored not stored refs pending

On integral representations of q-gamma and q-beta functions

Alberto De Sole, Victor Kac

arxiv:math/0302032 v1 · 2003-02-04 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JKLDENOHG4P2KGI22IASTZOT5U}

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	2026-05-18T01:24:09.241048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a963235c7371fa5191ad20129e5d3ed026cf573741a008566b9d2b48a759ef3

Aliases

arxiv: math/0302032 · arxiv_version: math/0302032v1 · doi: 10.48550/arxiv.math/0302032 · pith_short_12: JKLDENOHG4P2 · pith_short_16: JKLDENOHG4P2KGI2 · pith_short_8: JKLDENOH

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/JKLDENOHG4P2KGI22IASTZOT5U \
  | 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: 4a963235c7371fa5191ad20129e5d3ed026cf573741a008566b9d2b48a759ef3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ec6ba0023d5fdae8abeef2b43c5ae7915cd9bef97f0075f2888ad551ac8f061",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-02-04T04:42:11Z",
    "title_canon_sha256": "e2944ee1d0223b6b6b5213253f0b3c636949355659f914f46af44d889e0e35cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0302032",
    "kind": "arxiv",
    "version": 1
  }
}