Pith Number

pith:MFZZFMXY

pith:2026:MFZZFMXY6T73TLH2ZZVGPP36UT

not attested not anchored not stored refs pending

Singular central limit theorems for the spherical ensemble and beyond

David Garc\'ia-Zelada, Djalil Chafa\"i, Yuan Yuan Xu

arxiv:2606.00330 v1 · 2026-05-29 · math.PR · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MFZZFMXY6T73TLH2ZZVGPP36UT}

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	2026-06-02T01:03:51.799118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

617392b2f8f4ffb9acface6a67bf7ea4f12c3247e6e08c0b4182b3ca2b959048

Aliases

arxiv: 2606.00330 · arxiv_version: 2606.00330v1 · doi: 10.48550/arxiv.2606.00330 · pith_short_12: MFZZFMXY6T73 · pith_short_16: MFZZFMXY6T73TLH2 · pith_short_8: MFZZFMXY

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/MFZZFMXY6T73TLH2ZZVGPP36UT \
  | 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: 617392b2f8f4ffb9acface6a67bf7ea4f12c3247e6e08c0b4182b3ca2b959048

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaf9bb03f473c14f03575ef20e24e5db2de80cdb424d4b743ce3566d04940db3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-05-29T20:16:20Z",
    "title_canon_sha256": "82bd7a431d4b84c7f06dd9e4c549b596c01e3f1d30ca75d32493180362f1d26f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00330",
    "kind": "arxiv",
    "version": 1
  }
}