Pith Number

pith:2WDWR6DW

pith:2013:2WDWR6DW66WQX45RZCXIVAGN44

not attested not anchored not stored refs pending

Projective limits of quantum symmetry groups and the doubling construction for Hopf algebras

Adam Skalski, Piotr M. So{\l}tan

arxiv:1305.4589 v1 · 2013-05-20 · 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{2WDWR6DW66WQX45RZCXIVAGN44}

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	2026-05-18T03:25:16.608536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d58768f876f7ad0bf3b1c8ae8a80cde7297dcccbde96dfe00ead702f14da0aea

Aliases

arxiv: 1305.4589 · arxiv_version: 1305.4589v1 · doi: 10.48550/arxiv.1305.4589 · pith_short_12: 2WDWR6DW66WQ · pith_short_16: 2WDWR6DW66WQX45R · pith_short_8: 2WDWR6DW

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/2WDWR6DW66WQX45RZCXIVAGN44 \
  | 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: d58768f876f7ad0bf3b1c8ae8a80cde7297dcccbde96dfe00ead702f14da0aea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c33f65ef83d840fd94f093dfe55fb0a58afa1048c354941398a8a620b293cb41",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-05-20T17:50:15Z",
    "title_canon_sha256": "806a65257872a4569c349d76ce5fcba26458cf27a66378b0059b9fb8b220645e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4589",
    "kind": "arxiv",
    "version": 1
  }
}