Pith Number

pith:ZBM2DEXU

pith:2016:ZBM2DEXUDIBDHLOTANMDCQWCEG

not attested not anchored not stored refs pending

Differential relations for the largest root distribution of complex non-central Wishart matrices

Akimichi Takemura, Raimundas Vidunas

arxiv:1609.01799 v1 · 2016-09-07 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZBM2DEXUDIBDHLOTANMDCQWCEG}

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	2026-05-18T01:05:10.070681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c859a192f41a0233add303583142c221a59c08f21a1121b805ab8ca6b6cdfb59

Aliases

arxiv: 1609.01799 · arxiv_version: 1609.01799v1 · doi: 10.48550/arxiv.1609.01799 · pith_short_12: ZBM2DEXUDIBD · pith_short_16: ZBM2DEXUDIBDHLOT · pith_short_8: ZBM2DEXU

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/ZBM2DEXUDIBDHLOTANMDCQWCEG \
  | 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: c859a192f41a0233add303583142c221a59c08f21a1121b805ab8ca6b6cdfb59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e2bf4ad7fc53b6fdaeeaf1edb872927c2551164adbf236243ca0c63844fa94",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-09-07T01:38:55Z",
    "title_canon_sha256": "1d527fe5273acfb00580c1739b7488e79ed3d278b3539beeefe6ce8b5a4b0d91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01799",
    "kind": "arxiv",
    "version": 1
  }
}