Pith Number

pith:H3RRHR24

pith:2003:H3RRHR24VOYEYUEAMA45E2Q5S5

not attested not anchored not stored refs pending

Unit circle elliptic beta integrals

J.F. van Diejen, V.P. Spiridonov

arxiv:math/0309279 v2 · 2003-09-17 · 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{H3RRHR24VOYEYUEAMA45E2Q5S5}

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	2026-05-18T04:40:18.647334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ee313c75cabb04c50806039d26a1d974734df524460ebb2a8f4da0e9a07839a

Aliases

arxiv: math/0309279 · arxiv_version: math/0309279v2 · doi: 10.48550/arxiv.math/0309279 · pith_short_12: H3RRHR24VOYE · pith_short_16: H3RRHR24VOYEYUEA · pith_short_8: H3RRHR24

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/H3RRHR24VOYEYUEAMA45E2Q5S5 \
  | 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: 3ee313c75cabb04c50806039d26a1d974734df524460ebb2a8f4da0e9a07839a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c013683da4cd3fb9b6463cd213e1800ab0ca74e9abb61ce1d99978f4f373d65",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2003-09-17T14:24:16Z",
    "title_canon_sha256": "3d5221f24ba1a8615effeae41a3a5e57d2d0796e491f260907b6984d70dec330"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309279",
    "kind": "arxiv",
    "version": 2
  }
}