Pith Number

pith:GFCX7NBF

pith:2012:GFCX7NBFCBWUL7VU5MQILPVMQJ

not attested not anchored not stored refs pending

Limit theorems for additive functionals of stationary fields, under integrability assumptions on the higher order spectral densities

Florin Avram, Ludmila Sakhno, Nikolai Leonenko

arxiv:1202.3041 v1 · 2012-02-14 · 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{GFCX7NBFCBWUL7VU5MQILPVMQJ}

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	2026-05-18T04:02:24.281835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31457fb425106d45feb4eb2085beac826a32e6a5564ff89bf10c3b11b33f1d21

Aliases

arxiv: 1202.3041 · arxiv_version: 1202.3041v1 · doi: 10.48550/arxiv.1202.3041 · pith_short_12: GFCX7NBFCBWU · pith_short_16: GFCX7NBFCBWUL7VU · pith_short_8: GFCX7NBF

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/GFCX7NBFCBWUL7VU5MQILPVMQJ \
  | 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: 31457fb425106d45feb4eb2085beac826a32e6a5564ff89bf10c3b11b33f1d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2815f339e39086ef37cd5b080c9f865fbe96e6811d833ea0baa9182a4360def0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-02-14T14:02:23Z",
    "title_canon_sha256": "f694aa191f042b6011a166008b5a164be764f4863a8decb44d3f9276c4687ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3041",
    "kind": "arxiv",
    "version": 1
  }
}