Pith Number

pith:H32W5WME

pith:2010:H32W5WMEI2DYSND7D5LR5IDY5O

not attested not anchored not stored refs pending

Truncations of Haar distributed matrices, traces and bivariate Brownian bridges

Alain Rouault (LM-Versailles), Catherine Donati-Martin (LPMA)

arxiv:1007.1366 v4 · 2010-07-08 · 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{H32W5WMEI2DYSND7D5LR5IDY5O}

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	2026-05-18T04:12:55.020015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef56ed984468789347f1f571ea078eb90fe86125191d6eccc4120a7b9784f06

Aliases

arxiv: 1007.1366 · arxiv_version: 1007.1366v4 · doi: 10.48550/arxiv.1007.1366 · pith_short_12: H32W5WMEI2DY · pith_short_16: H32W5WMEI2DYSND7 · pith_short_8: H32W5WME

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/H32W5WMEI2DYSND7D5LR5IDY5O \
  | 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: 3ef56ed984468789347f1f571ea078eb90fe86125191d6eccc4120a7b9784f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "add51312ce144cb7eb6d8703725f534697f091cb7618d3cea27b72bb819230d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-08T13:11:46Z",
    "title_canon_sha256": "6cf3ad2c7e3d518be773c6ae9451cf6ec63352e93fd8a4feda5bd594dd241bad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.1366",
    "kind": "arxiv",
    "version": 4
  }
}