Pith Number

pith:GXYIEP4G

pith:2009:GXYIEP4GTYKU26NGPFBCZJELLG

not attested not anchored not stored refs pending

Central limit theorem for Fourier transforms of stationary processes

Magda Peligrad, Wei Biao Wu

arxiv:0910.3451 v3 · 2009-10-19 · 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{GXYIEP4GTYKU26NGPFBCZJELLG}

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	2026-05-18T04:36:59.383694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f0823f869e154d79a679422ca48b59a0b22cea14e360d0f6f34cede4514e5e

Aliases

arxiv: 0910.3451 · arxiv_version: 0910.3451v3 · doi: 10.48550/arxiv.0910.3451 · pith_short_12: GXYIEP4GTYKU · pith_short_16: GXYIEP4GTYKU26NG · pith_short_8: GXYIEP4G

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/GXYIEP4GTYKU26NGPFBCZJELLG \
  | 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: 35f0823f869e154d79a679422ca48b59a0b22cea14e360d0f6f34cede4514e5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f490b2a00ea0fc7f5434e964ea020657f4a136710fd2a163c593f7732a144f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-19T04:15:35Z",
    "title_canon_sha256": "1c9a49e46b4c84814ac5bc1097af1468a2040e79e48813544fa1eafdfd584746"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3451",
    "kind": "arxiv",
    "version": 3
  }
}