Pith Number

pith:TQU7OTWJ

pith:2026:TQU7OTWJX32BZDWV7DMSMUYWE6

not attested not anchored not stored refs pending

The Missing Central Limit Theorems for Local Functionals of Berry's Random Wave Model

Francesco Grotto

arxiv:2606.06489 v1 · 2026-06-04 · 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{TQU7OTWJX32BZDWV7DMSMUYWE6}

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	2026-06-05T01:15:46.995154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c29f74ec9bef41c8ed5f8d92653162792e98483feeade4c351ee56389eed389

Aliases

arxiv: 2606.06489 · arxiv_version: 2606.06489v1 · doi: 10.48550/arxiv.2606.06489 · pith_short_12: TQU7OTWJX32B · pith_short_16: TQU7OTWJX32BZDWV · pith_short_8: TQU7OTWJ

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/TQU7OTWJX32BZDWV7DMSMUYWE6 \
  | 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: 9c29f74ec9bef41c8ed5f8d92653162792e98483feeade4c351ee56389eed389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a4d83d2e218f3b7e5e40306dab530afb810e130705f8330ac001596acafce39",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-04T17:59:13Z",
    "title_canon_sha256": "f2ebccbc7737313bddb9ede590e061a976b72215a6b5279c65d1eab2f5d319e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06489",
    "kind": "arxiv",
    "version": 1
  }
}