Pith Number

pith:FM4HWLUK

pith:2011:FM4HWLUKQRRDQB6RU6B3QW7KPL

not attested not anchored not stored refs pending

The canonical basis and the quantum Frobenius morphism

Pierre Baumann

arxiv:1201.0303 v2 · 2011-12-31 · 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{FM4HWLUKQRRDQB6RU6B3QW7KPL}

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	2026-05-18T04:04:06.310058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b387b2e8a84623807d1a783b85bea7adb4b1cbd248d31b454ee00313b52102d

Aliases

arxiv: 1201.0303 · arxiv_version: 1201.0303v2 · doi: 10.48550/arxiv.1201.0303 · pith_short_12: FM4HWLUKQRRD · pith_short_16: FM4HWLUKQRRDQB6R · pith_short_8: FM4HWLUK

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/FM4HWLUKQRRDQB6RU6B3QW7KPL \
  | 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: 2b387b2e8a84623807d1a783b85bea7adb4b1cbd248d31b454ee00313b52102d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0784e062d32ea1ff5fcb6a2cb9886d5bc2f0e470afc121a9c51a07aa700d4b57",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-12-31T19:07:00Z",
    "title_canon_sha256": "26e49ed4c2bbe45ae0c8996416a332b2919e875f47e6f6e642cd68d3a12f9760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0303",
    "kind": "arxiv",
    "version": 2
  }
}