Pith Number

pith:NZNM6VNA

pith:2015:NZNM6VNAHSSJ2EGSN5JA5YQI5C

not attested not anchored not stored refs pending

The central limit theorem for a sequence of random processes with space varying long memory

Alfredas Ra\v{c}kauskas, Vaidotas Characiejus

arxiv:1509.00299 v1 · 2015-09-01 · 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{NZNM6VNAHSSJ2EGSN5JA5YQI5C}

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	2026-05-18T01:34:14.500607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5acf55a03ca49d10d26f520ee208e89df7e1b982f1a1da7aa6790a5618b6eb

Aliases

arxiv: 1509.00299 · arxiv_version: 1509.00299v1 · doi: 10.48550/arxiv.1509.00299 · pith_short_12: NZNM6VNAHSSJ · pith_short_16: NZNM6VNAHSSJ2EGS · pith_short_8: NZNM6VNA

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/NZNM6VNAHSSJ2EGSN5JA5YQI5C \
  | 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: 6e5acf55a03ca49d10d26f520ee208e89df7e1b982f1a1da7aa6790a5618b6eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ad74185437178143e6cf7edff2dbc2b26bfc49bcdd6aeb9f951df7ffc9971f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-09-01T13:59:52Z",
    "title_canon_sha256": "621a0fcceb6148136e6cd5238e464903a11aa9ad9dad96193bae354164ef1d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00299",
    "kind": "arxiv",
    "version": 1
  }
}