Pith Number

pith:UUZX6FTN

pith:2016:UUZX6FTNRJYYE2SMWGBCID4XY4

not attested not anchored not stored refs pending

A New Algorithm for Circulant Rational Covariance Extension and Applications to Finite-interval Smoothing

Bin Zhu, Giorgio Picci

arxiv:1609.09272 v1 · 2016-09-29 · stat.ME · 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{UUZX6FTNRJYYE2SMWGBCID4XY4}

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	2026-05-18T01:03:38.314018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5337f166d8a71826a4cb182240f97c706bf742f5081dec05c49c7182c0f5d00

Aliases

arxiv: 1609.09272 · arxiv_version: 1609.09272v1 · doi: 10.48550/arxiv.1609.09272 · pith_short_12: UUZX6FTNRJYY · pith_short_16: UUZX6FTNRJYYE2SM · pith_short_8: UUZX6FTN

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/UUZX6FTNRJYYE2SMWGBCID4XY4 \
  | 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: a5337f166d8a71826a4cb182240f97c706bf742f5081dec05c49c7182c0f5d00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e724105b059a7adf261ef66c875ef42aa23e8091a4148f5fcf0ca950e530563",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2016-09-29T09:39:42Z",
    "title_canon_sha256": "c244fadf501df59c7fa24589c7c461e46b949ac41449f31ae409f236ee9e00ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09272",
    "kind": "arxiv",
    "version": 1
  }
}