Pith Number

pith:M2IX4JSY

pith:2026:M2IX4JSYIDNO67RZS5X7NP4YJA

not attested not anchored not stored refs pending

Linear Spectral Statistics for Entrywise-Transformed Spiked Wigner Matrices under Shifted $L^4$ Profile Admissibility

Ji Oon Lee, Tsz-Kin Chan

arxiv:2608.07820 v1 · 2026-08-07 · 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{M2IX4JSYIDNO67RZS5X7NP4YJA}

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	2026-08-11T01:18:31.394056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66917e265840daef7e39976ff6bf9848057870e4e090db677eb5d69daa8988d1

Aliases

arxiv: 2608.07820 · arxiv_version: 2608.07820v1 · doi: 10.48550/arxiv.2608.07820 · pith_short_12: M2IX4JSYIDNO · pith_short_16: M2IX4JSYIDNO67RZ · pith_short_8: M2IX4JSY

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/M2IX4JSYIDNO67RZS5X7NP4YJA \
  | 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: 66917e265840daef7e39976ff6bf9848057870e4e090db677eb5d69daa8988d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf8c20fc7b8d96e1e7cee9226113cf3e452d348771be99db34d15095ec8ed9b4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-08-07T23:43:41Z",
    "title_canon_sha256": "3595847a5d306bee97e7299848bf116116fdb930bd8f69cf431384807fae0465"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07820",
    "kind": "arxiv",
    "version": 1
  }
}