Pith Number

pith:2PLQH4KN

pith:2019:2PLQH4KNTEN3YBVUVQCU4TJXQC

not attested not anchored not stored refs pending

Inductive limits of compact quantum groups and their unitary representations

Ryosuke Sato

arxiv:1908.03988 v2 · 2019-08-12 · math.OA · math.PR · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PLQH4KNTEN3YBVUVQCU4TJXQC}

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	2026-07-05T00:21:36.090196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3d703f14d991bbc06b4ac054e4d3780a2b26d0062722ce7ac412b65e708b6d1

Aliases

arxiv: 1908.03988 · arxiv_version: 1908.03988v2 · doi: 10.48550/arxiv.1908.03988 · pith_short_12: 2PLQH4KNTEN3 · pith_short_16: 2PLQH4KNTEN3YBVU · pith_short_8: 2PLQH4KN

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/2PLQH4KNTEN3YBVUVQCU4TJXQC \
  | 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: d3d703f14d991bbc06b4ac054e4d3780a2b26d0062722ce7ac412b65e708b6d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "219dbbf43320d992728df8db62a294a4491cca06c7108f35281f0fceda57b3e8",
    "cross_cats_sorted": [
      "math.PR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-08-12T03:25:02Z",
    "title_canon_sha256": "e4f3f4715b140f0740b27d81ad51d44905f0202d1e031170724d03fe2811b190"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03988",
    "kind": "arxiv",
    "version": 2
  }
}