Pith Number

pith:IMU5DUKO

pith:2015:IMU5DUKOVBY5RZBFX45FPYNGOQ

not attested not anchored not stored refs pending

Haar states and L\'evy processes on the unitary dual group

Guillaume C\'ebron, Micha\"el Ulrich

arxiv:1505.08083 v1 · 2015-05-29 · math.PR · math.OA · 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{IMU5DUKOVBY5RZBFX45FPYNGOQ}

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	2026-05-18T01:59:59.753208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4329d1d14ea871d8e425bf3a57e1a67426d55bdbd37e80baf50e85b100c6dc07

Aliases

arxiv: 1505.08083 · arxiv_version: 1505.08083v1 · doi: 10.48550/arxiv.1505.08083 · pith_short_12: IMU5DUKOVBY5 · pith_short_16: IMU5DUKOVBY5RZBF · pith_short_8: IMU5DUKO

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/IMU5DUKOVBY5RZBFX45FPYNGOQ \
  | 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: 4329d1d14ea871d8e425bf3a57e1a67426d55bdbd37e80baf50e85b100c6dc07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a96522e6bcf1be4670c348954770ceb2719110c74f4ef32b5dc7e6f99674273",
    "cross_cats_sorted": [
      "math.OA",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-29T15:14:01Z",
    "title_canon_sha256": "dcc19f89609c61c561125a4bad2825e50ce7bbeee22b6881a3560706d7615225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.08083",
    "kind": "arxiv",
    "version": 1
  }
}