Pith Number

pith:3XTI3Q6N

pith:2010:3XTI3Q6NDQKOIIBZWOBKJATUMK

not attested not anchored not stored refs pending

Categorical Hopf kernels and representations of semisimple Hopf algebras

Sebastian Burciu

arxiv:1010.2096 v1 · 2010-10-11 · math.QA · 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{3XTI3Q6NDQKOIIBZWOBKJATUMK}

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	2026-05-18T03:49:22.495867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dde68dc3cd1c14e42039b382a48274628f79e4fa9a1b015a987c6ff850cb4a1b

Aliases

arxiv: 1010.2096 · arxiv_version: 1010.2096v1 · doi: 10.48550/arxiv.1010.2096 · pith_short_12: 3XTI3Q6NDQKO · pith_short_16: 3XTI3Q6NDQKOIIBZ · pith_short_8: 3XTI3Q6N

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/3XTI3Q6NDQKOIIBZWOBKJATUMK \
  | 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: dde68dc3cd1c14e42039b382a48274628f79e4fa9a1b015a987c6ff850cb4a1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c95614d1d9371afebcd8aaee2920d76ff3723d2d16d6a5a383337eee765908a7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-10-11T13:14:03Z",
    "title_canon_sha256": "66d6a23d6e87c82e43a4aec7215e1051c1acdacd1bcaf38f001ce85f627f60ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2096",
    "kind": "arxiv",
    "version": 1
  }
}