Pith Number

pith:XY5F6DF6

pith:2016:XY5F6DF6FKWTLHE6QB6XTYKZO3

not attested not anchored not stored refs pending

A plug-in bandwidth selection procedure for long run covariance estimation with stationary functional time series

Gregory Rice, Han Lin Shang

arxiv:1604.02724 v1 · 2016-04-10 · stat.CO · 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{XY5F6DF6FKWTLHE6QB6XTYKZO3}

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	2026-05-18T01:17:22.297026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be3a5f0cbe2aad359c9e807d79e15976c45e046fc2f5cfb3aec9b7b183975596

Aliases

arxiv: 1604.02724 · arxiv_version: 1604.02724v1 · doi: 10.48550/arxiv.1604.02724 · pith_short_12: XY5F6DF6FKWT · pith_short_16: XY5F6DF6FKWTLHE6 · pith_short_8: XY5F6DF6

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/XY5F6DF6FKWTLHE6QB6XTYKZO3 \
  | 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: be3a5f0cbe2aad359c9e807d79e15976c45e046fc2f5cfb3aec9b7b183975596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70007cc43dd3108c7295981281981ea3bffa7d4b59b2f0f8d532659463ca9457",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2016-04-10T19:00:02Z",
    "title_canon_sha256": "196132201b7340b24061fbb6fc3f2e02ac6aa1392769abac9a08a07d4ad62dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.02724",
    "kind": "arxiv",
    "version": 1
  }
}