Pith Number

pith:HI6PRFNT

pith:2010:HI6PRFNTUYXBSHSF7VCJFICWLC

not attested not anchored not stored refs pending

Kernels of representations and coideal subalgebras of Hopf algebras

Sebastian Burciu

arxiv:1012.3096 v1 · 2010-12-14 · math.QA · math.RA · 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{HI6PRFNTUYXBSHSF7VCJFICWLC}

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	2026-05-18T04:02:00.936227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a3cf895b3a62e191e45fd4492a05658b72bb6f3c3d1c1f58681ce61b9b66cbd

Aliases

arxiv: 1012.3096 · arxiv_version: 1012.3096v1 · doi: 10.48550/arxiv.1012.3096 · pith_short_12: HI6PRFNTUYXB · pith_short_16: HI6PRFNTUYXBSHSF · pith_short_8: HI6PRFNT

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/HI6PRFNTUYXBSHSF7VCJFICWLC \
  | 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: 3a3cf895b3a62e191e45fd4492a05658b72bb6f3c3d1c1f58681ce61b9b66cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2985c8f5c8af6b6fafe5cc3c6c34265ed9bc12a162e600c4609de0eb7451931",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-14T17:27:22Z",
    "title_canon_sha256": "f98b0dc363bf7995eac414f0950ba8569709bdc1901bfb8e72ee0d13b26491a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3096",
    "kind": "arxiv",
    "version": 1
  }
}