Pith Number

pith:432MJZGU

pith:2006:432MJZGUU7I2SL6F7XSAIYTKM5

not attested not anchored not stored refs pending

Functional form of unitary representations of the quantum "az+b" group

P. M. So{\l}tan, W. Pusz

arxiv:math/0604613 v1 · 2006-04-28 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{432MJZGUU7I2SL6F7XSAIYTKM5}

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	2026-05-18T01:09:15.615305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f4c4e4d4a7d1a92fc5fde404626a675d236609006a4e28aa719a165f36403f

Aliases

arxiv: math/0604613 · arxiv_version: math/0604613v1 · doi: 10.48550/arxiv.math/0604613 · pith_short_12: 432MJZGUU7I2 · pith_short_16: 432MJZGUU7I2SL6F · pith_short_8: 432MJZGU

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/432MJZGUU7I2SL6F7XSAIYTKM5 \
  | 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: e6f4c4e4d4a7d1a92fc5fde404626a675d236609006a4e28aa719a165f36403f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "850af245390e7423ef19571b810e3492ff04335c07f81c7dc5fbb3cedb469ffe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-04-28T04:34:20Z",
    "title_canon_sha256": "6a275139aef4e793b9761726451f3eeb8ec31e1949bc450bd80e952ed2b175d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604613",
    "kind": "arxiv",
    "version": 1
  }
}