Pith Number

pith:YBWDQOCV

pith:2018:YBWDQOCVQYQAGTY7CDBOID44CF

not attested not anchored not stored refs pending

$R$-diagonal and $\eta$-diagonal Pairs of Random Variables

Mingchu Gao

arxiv:1812.11259 v2 · 2018-12-29 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBWDQOCVQYQAGTY7CDBOID44CF}

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	2026-05-17T23:39:55.437643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c06c3838558620034f1f10c2e40f9c1158979d8f953a2b8b8ec3160decada5da

Aliases

arxiv: 1812.11259 · arxiv_version: 1812.11259v2 · doi: 10.48550/arxiv.1812.11259 · pith_short_12: YBWDQOCVQYQA · pith_short_16: YBWDQOCVQYQAGTY7 · pith_short_8: YBWDQOCV

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/YBWDQOCVQYQAGTY7CDBOID44CF \
  | 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: c06c3838558620034f1f10c2e40f9c1158979d8f953a2b8b8ec3160decada5da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68d7f2b6b5c139ae28c5daa10a805d3a1a2e3b0c3350f595e5346436dc52b9d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-12-29T01:21:59Z",
    "title_canon_sha256": "d4f4f4e7faa252cdead472896fa234f22c7ca36c0ab41c8039fefec5d12127e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11259",
    "kind": "arxiv",
    "version": 2
  }
}