Pith Number

pith:XRUSBC4R

pith:2017:XRUSBC4RXEUTQMS5G74ODTN2WV

not attested not anchored not stored refs pending

Independence characterization for Wishart and Kummer random matrices

Agnieszka Piliszek, Bartosz Ko{\l}odziejek

arxiv:1706.09718 v4 · 2017-06-29 · 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{XRUSBC4RXEUTQMS5G74ODTN2WV}

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	2026-05-18T00:15:59.288294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc69208b91b92938325d37f8e1cdbab55401a4ba3b1502632dc13ad138237359

Aliases

arxiv: 1706.09718 · arxiv_version: 1706.09718v4 · doi: 10.48550/arxiv.1706.09718 · pith_short_12: XRUSBC4RXEUT · pith_short_16: XRUSBC4RXEUTQMS5 · pith_short_8: XRUSBC4R

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/XRUSBC4RXEUTQMS5G74ODTN2WV \
  | 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: bc69208b91b92938325d37f8e1cdbab55401a4ba3b1502632dc13ad138237359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aefe1a9c978b7f7fddbb4617746cf51ef713e10a2922a005727778c1b9025687",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-06-29T12:35:35Z",
    "title_canon_sha256": "1770107513b5e301eebbb4979870e541dd4754bc09f271163afd29a45a310c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09718",
    "kind": "arxiv",
    "version": 4
  }
}