Pith Number

pith:MQLTEBXX

pith:2024:MQLTEBXXIXLDAQ366VRSCE7E3X

not attested not anchored not stored refs pending

Breuer-Major Theorems for Hilbert Space-Valued Random Variables

Marie-Christine D\"uker, Pavlos Zoubouloglou

arxiv:2405.11452 v2 · 2024-05-19 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQLTEBXXIXLDAQ366VRSCE7E3X}

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	2026-06-25T01:17:42.912093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64173206f745d630437ef5632113e4ddc40102e196c0cd97eb8281db909efbd2

Aliases

arxiv: 2405.11452 · arxiv_version: 2405.11452v2 · doi: 10.48550/arxiv.2405.11452 · pith_short_12: MQLTEBXXIXLD · pith_short_16: MQLTEBXXIXLDAQ36 · pith_short_8: MQLTEBXX

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/MQLTEBXXIXLDAQ366VRSCE7E3X \
  | 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: 64173206f745d630437ef5632113e4ddc40102e196c0cd97eb8281db909efbd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16f9841f924215e7775d6460752ea009e6924c239a5ab093f1683cc089dba2e0",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-05-19T05:14:36Z",
    "title_canon_sha256": "bab3ec832e31de389b4f204d25b000bb3b16ce6507a574227d8dbcf1e12813d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.11452",
    "kind": "arxiv",
    "version": 2
  }
}