Pith Number

pith:XAA5RU5E

pith:2018:XAA5RU5EIX5P3MQSD5G5OZC2G5

not attested not anchored not stored refs pending

Non-Gaussian Random Matrix Models for Two-faced Families of Random Variables Having Bi-free Central Limit Distributions

Mingchu Gao

arxiv:1806.05399 v2 · 2018-06-14 · 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{XAA5RU5EIX5P3MQSD5G5OZC2G5}

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	2026-05-18T00:12:42.865566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b801d8d3a445fafdb2121f4dd7645a375c109233aecc114610a3b7ad8e7a0f78

Aliases

arxiv: 1806.05399 · arxiv_version: 1806.05399v2 · doi: 10.48550/arxiv.1806.05399 · pith_short_12: XAA5RU5EIX5P · pith_short_16: XAA5RU5EIX5P3MQS · pith_short_8: XAA5RU5E

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/XAA5RU5EIX5P3MQSD5G5OZC2G5 \
  | 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: b801d8d3a445fafdb2121f4dd7645a375c109233aecc114610a3b7ad8e7a0f78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07fe8ad17375b6c23b1007593dcc4e1c3c962153786205130bc7cb8227eef01b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2018-06-14T07:36:36Z",
    "title_canon_sha256": "6abc35d917c1a6f322e71f38c91a798ecaac3fcc0d939aae11a811baf32b7103"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05399",
    "kind": "arxiv",
    "version": 2
  }
}