Pith Number

pith:ZPLLLTVN

pith:2015:ZPLLLTVNYAB23RQMDRLKZCMVFD

not attested not anchored not stored refs pending

A quantization of the harmonic analysis on the infinite-dimensional unitary group

Grigori Olshanski, Vadim Gorin

arxiv:1504.06832 v2 · 2015-04-26 · math.RT · math.CA · math.CO · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPLLLTVNYAB23RQMDRLKZCMVFD}

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	2026-05-18T01:19:20.584486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd6b5ceadc003adc60c1c56ac899528c602b6377a3271592902859fa5209ea5

Aliases

arxiv: 1504.06832 · arxiv_version: 1504.06832v2 · doi: 10.48550/arxiv.1504.06832 · pith_short_12: ZPLLLTVNYAB2 · pith_short_16: ZPLLLTVNYAB23RQM · pith_short_8: ZPLLLTVN

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/ZPLLLTVNYAB23RQMDRLKZCMVFD \
  | 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: cbd6b5ceadc003adc60c1c56ac899528c602b6377a3271592902859fa5209ea5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82184071fbad834481ae085bdf875a49be0cdc0627e2e216790bbf141be65c29",
    "cross_cats_sorted": [
      "math.CA",
      "math.CO",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-04-26T14:41:05Z",
    "title_canon_sha256": "93f02af2ed4816c278f817682dcb9b4513a86828c246a0286ebd31998a1b4866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06832",
    "kind": "arxiv",
    "version": 2
  }
}