Pith Number

pith:EQ4K3RVL

pith:2007:EQ4K3RVLKQDMEGCJRNZTIZ4W62

not attested not anchored not stored refs pending

From multiplicative unitaries to quantum groups II

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

arxiv:0705.2527 v2 · 2007-05-17 · 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{EQ4K3RVLKQDMEGCJRNZTIZ4W62}

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	2026-05-18T04:24:44.160048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2438adc6ab5406c218498b73346796f69c6d1a724f779c27524d85299879d4c8

Aliases

arxiv: 0705.2527 · arxiv_version: 0705.2527v2 · doi: 10.48550/arxiv.0705.2527 · pith_short_12: EQ4K3RVLKQDM · pith_short_16: EQ4K3RVLKQDMEGCJ · pith_short_8: EQ4K3RVL

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/EQ4K3RVLKQDMEGCJRNZTIZ4W62 \
  | 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: 2438adc6ab5406c218498b73346796f69c6d1a724f779c27524d85299879d4c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d741690897cbd28b951f1c4de6a65b09ccfe7f2cea2a101c95bde65efdfb498a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2007-05-17T13:34:21Z",
    "title_canon_sha256": "40ee219b3729531a0fb801e570bd194f75ea8f33e5939fbe0f99afaa0c02f307"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2527",
    "kind": "arxiv",
    "version": 2
  }
}