Pith Number

pith:B4GA3P3O

pith:2017:B4GA3P3O3JGF2EWCRGIPQC53ET

not attested not anchored not stored refs pending

Compact quantum groups with representations of bounded degree

Jacek Krajczok, Piotr M. So{\l}tan

arxiv:1710.04863 v1 · 2017-10-13 · math.QA · math.FA · 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{B4GA3P3O3JGF2EWCRGIPQC53ET}

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	2026-05-18T00:32:56.501895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f0c0dbf6eda4c5d12c28990f80bbb24caf5ecd6b24087b1bfed926a2312f2ed

Aliases

arxiv: 1710.04863 · arxiv_version: 1710.04863v1 · doi: 10.48550/arxiv.1710.04863 · pith_short_12: B4GA3P3O3JGF · pith_short_16: B4GA3P3O3JGF2EWC · pith_short_8: B4GA3P3O

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/B4GA3P3O3JGF2EWCRGIPQC53ET \
  | 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: 0f0c0dbf6eda4c5d12c28990f80bbb24caf5ecd6b24087b1bfed926a2312f2ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09d4b7cc4e3e44180c641b5cc5c9d5b8aa704b289f1921d0b76cdfded585e85c",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2017-10-13T10:28:15Z",
    "title_canon_sha256": "713f6c7b351c9924e983a85ecfbc696b97a0053bfe8d10f40362e60475378494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.04863",
    "kind": "arxiv",
    "version": 1
  }
}