Pith Number

pith:SDTZBJ6J

pith:2010:SDTZBJ6JOF25MDQETCRKPKIUPG

not attested not anchored not stored refs pending

Central limit theorems for Hilbert-space valued random fields satisfying a strong mixing condition

Cristina Tone

arxiv:1012.1842 v1 · 2010-12-08 · 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{SDTZBJ6JOF25MDQETCRKPKIUPG}

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	2026-05-18T04:33:51.176236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90e790a7c97175d60e0498a2a7a914799ed9a6de7b58e9b2d530df4e3e6bad21

Aliases

arxiv: 1012.1842 · arxiv_version: 1012.1842v1 · doi: 10.48550/arxiv.1012.1842 · pith_short_12: SDTZBJ6JOF25 · pith_short_16: SDTZBJ6JOF25MDQE · pith_short_8: SDTZBJ6J

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/SDTZBJ6JOF25MDQETCRKPKIUPG \
  | 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: 90e790a7c97175d60e0498a2a7a914799ed9a6de7b58e9b2d530df4e3e6bad21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb39d10c59c3a3b16a893b4f40f744bd3287da0e48b6a89b9ba0d5f47e905eef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-08T20:05:17Z",
    "title_canon_sha256": "e91ba1af0fc308e73d9caf0d7a7cd5d10536e6208af0e1af9105024a5010efb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1842",
    "kind": "arxiv",
    "version": 1
  }
}