Pith Number

pith:4JR3HXKP

pith:2015:4JR3HXKPWW2Y6M6PWYBUGWOCC7

not attested not anchored not stored refs pending

The free wreath product of a compact quantum group by a quantum automorphism group

Lorenzo Pittau, Pierre Fima

arxiv:1507.06107 v2 · 2015-07-22 · math.QA · 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{4JR3HXKPWW2Y6M6PWYBUGWOCC7}

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	2026-05-18T01:23:03.655110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e263b3dd4fb5b58f33cfb6034359c217eb1f03694116dde12d33301de2871327

Aliases

arxiv: 1507.06107 · arxiv_version: 1507.06107v2 · doi: 10.48550/arxiv.1507.06107 · pith_short_12: 4JR3HXKPWW2Y · pith_short_16: 4JR3HXKPWW2Y6M6P · pith_short_8: 4JR3HXKP

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/4JR3HXKPWW2Y6M6PWYBUGWOCC7 \
  | 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: e263b3dd4fb5b58f33cfb6034359c217eb1f03694116dde12d33301de2871327

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432b21a25a0a4f9c873c08019fd7a2ec3ffaaedaf09a0f61a7c1331ce795aa41",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-07-22T09:17:09Z",
    "title_canon_sha256": "c019274b4839fedb6b222fa86cae9b4f4494e887c9d0cbab394c7320f448d494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06107",
    "kind": "arxiv",
    "version": 2
  }
}