Pith Number

pith:SWH7TVLO

pith:2016:SWH7TVLOTLDQWWCYEIMAYUWYQU

not attested not anchored not stored refs pending

On modules arising from quantum groups at $p^r$-th roots of unity

Hankyung Ko

arxiv:1606.08426 v2 · 2016-06-27 · 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{SWH7TVLOTLDQWWCYEIMAYUWYQU}

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	2026-05-18T01:11:37.220571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

958ff9d56e9ac70b585822180c52d88537b4821acd2538badf95f3cb77e44d7b

Aliases

arxiv: 1606.08426 · arxiv_version: 1606.08426v2 · doi: 10.48550/arxiv.1606.08426 · pith_short_12: SWH7TVLOTLDQ · pith_short_16: SWH7TVLOTLDQWWCY · pith_short_8: SWH7TVLO

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/SWH7TVLOTLDQWWCYEIMAYUWYQU \
  | 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: 958ff9d56e9ac70b585822180c52d88537b4821acd2538badf95f3cb77e44d7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8d83ef14d5ee502ee47e279028e2b8c20b09ad7e70ef62c2ec1a052c4779145",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-06-27T19:51:34Z",
    "title_canon_sha256": "506e62c097f7cd991a6ad4b4bcb6eaf8f746fbca85815af24b4c87ae153a522b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08426",
    "kind": "arxiv",
    "version": 2
  }
}