Pith Number

pith:LCPPKJVA

pith:2022:LCPPKJVAKXCOLAMBRPFZSHSSSV

not attested not anchored not stored refs pending

On Mixing Distributions Via Random Orthogonal Matrices and the Spectrum of the Singular Values of Multi-Z Shaped Graph Matrices

Aaron Potechin, Wenjun Cai

arxiv:2206.02224 v2 · 2022-06-05 · 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{LCPPKJVAKXCOLAMBRPFZSHSSSV}

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.

Cited by

1 paper in Pith

Matrix Chaos Inequalities and Chaos of Combinatorial Type

Receipt and verification

First computed	2026-07-05T05:29:02.227650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589ef526a055c4e581818bcb991e529561cd37439a0b8361dd9fe87892d6862e

Aliases

arxiv: 2206.02224 · arxiv_version: 2206.02224v2 · doi: 10.48550/arxiv.2206.02224 · pith_short_12: LCPPKJVAKXCO · pith_short_16: LCPPKJVAKXCOLAMB · pith_short_8: LCPPKJVA

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/LCPPKJVAKXCOLAMBRPFZSHSSSV \
  | 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: 589ef526a055c4e581818bcb991e529561cd37439a0b8361dd9fe87892d6862e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50d973f14ad6e8c048a3049a7585f164f32dd3efc6be3f5fbfc44d7c654817ad",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-06-05T17:37:59Z",
    "title_canon_sha256": "bd1f9b845f6828d0c811688966cfc6d775950cba901582c7e341ace0af83166f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.02224",
    "kind": "arxiv",
    "version": 2
  }
}