Pith Number

pith:OP4S5C5I

pith:2005:OP4S5C5I4MV2MNQNPB2BJRIB6E

not attested not anchored not stored refs pending

Poisson Statistics for the Largest Eigenvalues in Random Matrix Ensemble

Alexander Soshnikov

arxiv:math/0504562 v1 · 2005-04-27 · 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{OP4S5C5I4MV2MNQNPB2BJRIB6E}

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	2026-05-18T01:38:25.026081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73f92e8ba8e32ba6360d787414c501f120597e70c0ecc7c42f97f0e59cb34f8e

Aliases

arxiv: math/0504562 · arxiv_version: math/0504562v1 · doi: 10.48550/arxiv.math/0504562 · pith_short_12: OP4S5C5I4MV2 · pith_short_16: OP4S5C5I4MV2MNQN · pith_short_8: OP4S5C5I

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/OP4S5C5I4MV2MNQNPB2BJRIB6E \
  | 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: 73f92e8ba8e32ba6360d787414c501f120597e70c0ecc7c42f97f0e59cb34f8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fc5e42001a9c81da64ef358923b67fbbbf6d8c6df0718f93afbbc26d18fba7a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2005-04-27T23:10:11Z",
    "title_canon_sha256": "886a410552dfacf7df84a6a78159d29947f46961914bf9563af167179274755a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504562",
    "kind": "arxiv",
    "version": 1
  }
}