Pith Number

pith:H4E5EF6K

pith:2019:H4E5EF6KTBMAY6VVNB3JLOGOCU

not attested not anchored not stored refs pending

From Hopf algebras to topological quantum groups. A short history, various aspects and some problems

Alfons Van Daele

arxiv:1901.04328 v1 · 2019-01-14 · math.QA · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H4E5EF6KTBMAY6VVNB3JLOGOCU}

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	2026-05-17T23:56:25.807497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f09d217ca98580c7ab5687695b8ce15310626455a2a9b010f71da7cd8f5e37e

Aliases

arxiv: 1901.04328 · arxiv_version: 1901.04328v1 · doi: 10.48550/arxiv.1901.04328 · pith_short_12: H4E5EF6KTBMA · pith_short_16: H4E5EF6KTBMAY6VV · pith_short_8: H4E5EF6K

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/H4E5EF6KTBMAY6VVNB3JLOGOCU \
  | 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: 3f09d217ca98580c7ab5687695b8ce15310626455a2a9b010f71da7cd8f5e37e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cb70237a19d27fff916b445b830e82f2b5934286c8e4fdffc2a736e597888ad",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2019-01-14T14:03:17Z",
    "title_canon_sha256": "bfb93696eea5bb3860a4f78af9e0a46db2ab4fcd27dc0c888b4a35bd517ddec7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04328",
    "kind": "arxiv",
    "version": 1
  }
}