Pith Number

pith:XIZWDHON

pith:2013:XIZWDHONVRFVHM6ZHZMRGGCSPW

not attested not anchored not stored refs pending

On asymptotic distributions of weighted sums of periodograms

Hira L. Koul, Liudas Giraitis

arxiv:1312.4691 v1 · 2013-12-17 · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XIZWDHONVRFVHM6ZHZMRGGCSPW}

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	2026-05-18T03:04:23.343277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba33619dcdac4b53b3d93e591318527d99eeb02f2fd789fad06b99c37f0a8372

Aliases

arxiv: 1312.4691 · arxiv_version: 1312.4691v1 · doi: 10.48550/arxiv.1312.4691 · pith_short_12: XIZWDHONVRFV · pith_short_16: XIZWDHONVRFVHM6Z · pith_short_8: XIZWDHON

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/XIZWDHONVRFVHM6ZHZMRGGCSPW \
  | 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: ba33619dcdac4b53b3d93e591318527d99eeb02f2fd789fad06b99c37f0a8372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0c1a7007030b4309c390794eace4c0f7007bf2adf1a5d48fcde991794d06482",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-17T08:54:00Z",
    "title_canon_sha256": "bb6e1d1d7d7a0401ae67ff47a03aeb8f17a42bcfdcb23832f180ff91ecf8c01a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4691",
    "kind": "arxiv",
    "version": 1
  }
}