Pith Number

pith:DRUZTSV4

pith:2006:DRUZTSV4BE4SKCUKUJIBY4BDZ2

not attested not anchored not stored refs pending

The vector-valued big q-Jacobi transform

Wolter Groenevelt

arxiv:math/0612643 v2 · 2006-12-21 · math.CA · 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{DRUZTSV4BE4SKCUKUJIBY4BDZ2}

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	2026-05-18T04:21:22.969537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c6999cabc0939250a8aa2501c7023ceb0e51e59ac7c585a4c8eceb78c6a853d

Aliases

arxiv: math/0612643 · arxiv_version: math/0612643v2 · doi: 10.48550/arxiv.math/0612643 · pith_short_12: DRUZTSV4BE4S · pith_short_16: DRUZTSV4BE4SKCUK · pith_short_8: DRUZTSV4

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/DRUZTSV4BE4SKCUKUJIBY4BDZ2 \
  | 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: 1c6999cabc0939250a8aa2501c7023ceb0e51e59ac7c585a4c8eceb78c6a853d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f193b6ffe16438ba0abfded6735b5eb1c488bbf6e5b99cb03b593ce134a05bef",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2006-12-21T16:54:26Z",
    "title_canon_sha256": "3bc69666db4afc406099d28c42db0df9eb21e513780eaa977fb1f5a41f502dde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612643",
    "kind": "arxiv",
    "version": 2
  }
}