Pith Number

pith:IQFPYRAH

pith:2009:IQFPYRAH6JCWIOAQ6N3QCRCYU6

not attested not anchored not stored refs pending

The quasi-invariance property for the Gamma kernel determinantal measure

Grigori Olshanski

arxiv:0910.0130 v2 · 2009-10-01 · 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{IQFPYRAH6JCWIOAQ6N3QCRCYU6}

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	2026-05-18T03:32:08.289539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

440afc4407f245643810f377014458a7a6b79a72852cf686f7d0006b9754b7b6

Aliases

arxiv: 0910.0130 · arxiv_version: 0910.0130v2 · doi: 10.48550/arxiv.0910.0130 · pith_short_12: IQFPYRAH6JCW · pith_short_16: IQFPYRAH6JCWIOAQ · pith_short_8: IQFPYRAH

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/IQFPYRAH6JCWIOAQ6N3QCRCYU6 \
  | 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: 440afc4407f245643810f377014458a7a6b79a72852cf686f7d0006b9754b7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "716bf10a968d11fc1d45a9048d38d0c08bb5dcf6f3bf7396abb9924ec3cc949c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-01T10:50:35Z",
    "title_canon_sha256": "481d27f74a121571bfa5af4b9670495dd63b878cb3a81c6d2a58542b8b44251c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0130",
    "kind": "arxiv",
    "version": 2
  }
}