Pith Number

pith:NIQDLVIG

pith:2012:NIQDLVIGYIZMUEDWQCX3IFGUC5

not attested not anchored not stored refs pending

Measured quantum groupoids associated to proper dynamical quantum groups

Thomas Timmermann

arxiv:1206.6744 v3 · 2012-06-28 · math.OA · 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{NIQDLVIGYIZMUEDWQCX3IFGUC5}

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	2026-05-18T00:48:29.057294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a2035d506c232ca107680afb414d41746048bd81743a9a89a169fe8406b06f2

Aliases

arxiv: 1206.6744 · arxiv_version: 1206.6744v3 · doi: 10.48550/arxiv.1206.6744 · pith_short_12: NIQDLVIGYIZM · pith_short_16: NIQDLVIGYIZMUEDW · pith_short_8: NIQDLVIG

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/NIQDLVIGYIZMUEDWQCX3IFGUC5 \
  | 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: 6a2035d506c232ca107680afb414d41746048bd81743a9a89a169fe8406b06f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "628439e90ccb3c02e84081226e197165d7e938ab437ba6d886e135d5227d55a0",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2012-06-28T15:59:39Z",
    "title_canon_sha256": "b493567fd5105fd6f2342fc90ce4762c89433bf3e16b37cc7ac1d9cfe38fb728"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6744",
    "kind": "arxiv",
    "version": 3
  }
}