Pith Number

pith:GZ6XFKAF

pith:2015:GZ6XFKAFCIZ43ICK6ZK4FHZQ75

not attested not anchored not stored refs pending

Functional Limit Theorems for Toeplitz Quadratic Functionals of Continuous time Gaussian Stationary Processes

Mamikon S. Ginovyan, Murad S. Taqqu, Shuyang Bai

arxiv:1501.05574 v2 · 2015-01-22 · 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{GZ6XFKAFCIZ43ICK6ZK4FHZQ75}

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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	2026-05-18T02:17:33.225377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

367d72a8051233cda04af655c29f30ff7f1c28b7f655df505cb21085db765187

Aliases

arxiv: 1501.05574 · arxiv_version: 1501.05574v2 · doi: 10.48550/arxiv.1501.05574 · pith_short_12: GZ6XFKAFCIZ4 · pith_short_16: GZ6XFKAFCIZ43ICK · pith_short_8: GZ6XFKAF

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/GZ6XFKAFCIZ43ICK6ZK4FHZQ75 \
  | 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: 367d72a8051233cda04af655c29f30ff7f1c28b7f655df505cb21085db765187

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ffb327fcd4f9d6ae46dfa92acde1fe479d6c28d2c7400e12c7b42fc69f744d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-22T16:59:46Z",
    "title_canon_sha256": "de0e254dd1401587044e4005f5fc3b7d15ea0aa6641f2c51e4b0cf9f064e88ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05574",
    "kind": "arxiv",
    "version": 2
  }
}