Pith Number

pith:UU3LHU6B

pith:2012:UU3LHU6BZJLZZBBWWB7P5S4GKO

not attested not anchored not stored refs pending

Quantization commutes with reduction in the non-compact setting: the case of holomorphic discrete series

Paul-Emile Paradan (I3M)

arxiv:1201.5451 v1 · 2012-01-26 · math.SG · 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{UU3LHU6BZJLZZBBWWB7P5S4GKO}

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	2026-05-18T04:03:53.982616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a536b3d3c1ca579c8436b07efecb86538fe73b4d4231be783643ed39fe98481d

Aliases

arxiv: 1201.5451 · arxiv_version: 1201.5451v1 · doi: 10.48550/arxiv.1201.5451 · pith_short_12: UU3LHU6BZJLZ · pith_short_16: UU3LHU6BZJLZZBBW · pith_short_8: UU3LHU6B

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/UU3LHU6BZJLZZBBWWB7P5S4GKO \
  | 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: a536b3d3c1ca579c8436b07efecb86538fe73b4d4231be783643ed39fe98481d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "794c0f1e61ebebd00b2c0587d7e6fcba58970f022b0709a66e522b8fbd2864a7",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-01-26T08:24:59Z",
    "title_canon_sha256": "e8621628348290737f13f39b8c83626d639b028ec01a0cf4d786252c906e6f93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5451",
    "kind": "arxiv",
    "version": 1
  }
}