Pith Number

pith:CBH27BZP

pith:2012:CBH27BZPFX2XZGLPZWFP54QXIP

not attested not anchored not stored refs pending

Auslander-Reiten theory of Frobenius-Lusztig kernels

Julian K\"ulshammer

arxiv:1201.5303 v1 · 2012-01-25 · math.RT · 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{CBH27BZPFX2XZGLPZWFP54QXIP}

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	2026-05-18T02:57:53.879063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

104faf872f2df57c996fcd8afef21743da44c46a1c17b08e46a11d30e50b353a

Aliases

arxiv: 1201.5303 · arxiv_version: 1201.5303v1 · doi: 10.48550/arxiv.1201.5303 · pith_short_12: CBH27BZPFX2X · pith_short_16: CBH27BZPFX2XZGLP · pith_short_8: CBH27BZP

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/CBH27BZPFX2XZGLPZWFP54QXIP \
  | 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: 104faf872f2df57c996fcd8afef21743da44c46a1c17b08e46a11d30e50b353a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1df3b27e63cb61f5aef5484b2bd0ec30834737419847acc60fb28b468563538",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-01-25T15:39:17Z",
    "title_canon_sha256": "1e0dd6187c83c80a7bdbda39a6aac3435033a59848853db294434503ccba21dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5303",
    "kind": "arxiv",
    "version": 1
  }
}