Pith Number

pith:QX455PL4

pith:2009:QX455PL456N6TKW3RHLPLFBHMM

not attested not anchored not stored refs pending

Central limit theorem for the heat kernel measure on the unitary group

Myl\`ene Ma\"ida (LM-Orsay), Thierry L\'evy (DMA)

arxiv:0905.3282 v2 · 2009-05-20 · 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{QX455PL456N6TKW3RHLPLFBHMM}

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	2026-05-18T04:13:47.270939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f9debd7cef9be9aadb89d6f59427630479b3e76e3f5693c841bffee7677459

Aliases

arxiv: 0905.3282 · arxiv_version: 0905.3282v2 · doi: 10.48550/arxiv.0905.3282 · pith_short_12: QX455PL456N6 · pith_short_16: QX455PL456N6TKW3 · pith_short_8: QX455PL4

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/QX455PL456N6TKW3RHLPLFBHMM \
  | 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: 85f9debd7cef9be9aadb89d6f59427630479b3e76e3f5693c841bffee7677459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc94b448709cb595d49bee3b3d8e910168375deb4688001791f5ea2d04004380",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-05-20T11:30:17Z",
    "title_canon_sha256": "e29d81cfb900a4f49c272e7b9a95804489a3afad5dd52bf126b15546d1a22346"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.3282",
    "kind": "arxiv",
    "version": 2
  }
}