Pith Number

pith:UNVCE3EK

pith:2006:UNVCE3EKRFKS55P6MHUA74FYY4

not attested not anchored not stored refs pending

A remark on manageable multiplicative unitaries

P. M. So{\l}tan, S. L. Woronowicz

arxiv:math/0604614 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{UNVCE3EKRFKS55P6MHUA74FYY4}

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	2026-05-18T01:09:15.606835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a36a226c8a89552ef5fe61e80ff0b8c7364464258739065b14217c06b354652f

Aliases

arxiv: math/0604614 · arxiv_version: math/0604614v1 · doi: 10.48550/arxiv.math/0604614 · pith_short_12: UNVCE3EKRFKS · pith_short_16: UNVCE3EKRFKS55P6 · pith_short_8: UNVCE3EK

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/UNVCE3EKRFKS55P6MHUA74FYY4 \
  | 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: a36a226c8a89552ef5fe61e80ff0b8c7364464258739065b14217c06b354652f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cadac2d01f24a19142c73320ce119a9c853570b2b208bd3ed728bbb155e22c81",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2006-04-28T04:43:16Z",
    "title_canon_sha256": "92e2350cf80285314e0fe68fb8067ad5a9682b9428eb4e5f6013f8246e475a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604614",
    "kind": "arxiv",
    "version": 1
  }
}