Pith Number

pith:QWRAC6ZQ

pith:2009:QWRAC6ZQJKZQQBO2BU32QXVMFL

not attested not anchored not stored refs pending

Invariance principles for linear processes with application to isotonic regression

Florence Merlev\`ede, J\'er\^ome Dedecker, Magda Peligrad

arxiv:0903.1951 v2 · 2009-03-11 · math.ST · math.PR · 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{QWRAC6ZQJKZQQBO2BU32QXVMFL}

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	2026-05-18T04:26:33.453248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85a2017b304ab30805da0d37a85eac2af5c0649f5fbfc2ef88f366e48d9c255d

Aliases

arxiv: 0903.1951 · arxiv_version: 0903.1951v2 · doi: 10.48550/arxiv.0903.1951 · pith_short_12: QWRAC6ZQJKZQ · pith_short_16: QWRAC6ZQJKZQQBO2 · pith_short_8: QWRAC6ZQ

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/QWRAC6ZQJKZQQBO2BU32QXVMFL \
  | 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: 85a2017b304ab30805da0d37a85eac2af5c0649f5fbfc2ef88f366e48d9c255d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "961ab0a599f307fd08a36796ab2e575ab5492a65a345bc8cda346c33348f8e53",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-03-11T11:27:55Z",
    "title_canon_sha256": "11dd9b1b813e46f32ab9f2faf094eb41231b6de3b0fc2e46ea61f6e0419c38b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.1951",
    "kind": "arxiv",
    "version": 2
  }
}