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Pith Number

pith:3LLKFN6X

pith:2015:3LLKFN6X2PS6ZR5GJ5CVKBLQCS
not attested not anchored not stored refs pending

Linearity of regression for weak records, revisited

Jacek Weso{\l}owski, Rafa{\l} Karczewski

arxiv:1511.00224 v2 · 2015-11-01 · math.PR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3LLKFN6X2PS6ZR5GJ5CVKBLQCS}

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 2026-05-18T01:11:18.024268Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dad6a2b7d7d3e5ecc7a64f4555057014b4914e092c44b5dd8f5ad2f9c170acd2

Aliases

arxiv: 1511.00224 · arxiv_version: 1511.00224v2 · doi: 10.48550/arxiv.1511.00224 · pith_short_12: 3LLKFN6X2PS6 · pith_short_16: 3LLKFN6X2PS6ZR5G · pith_short_8: 3LLKFN6X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3LLKFN6X2PS6ZR5GJ5CVKBLQCS \
  | 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: dad6a2b7d7d3e5ecc7a64f4555057014b4914e092c44b5dd8f5ad2f9c170acd2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "85f9d77ae0d34a1be6f3a69ac8dcd9dae087d1c511bbe3f2632cfc0320916036",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-01T10:13:55Z",
    "title_canon_sha256": "cd8fe9e71e35f6e885f087563dfeefd8b52e1a68748ec4d03b7c046e805e7443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.00224",
    "kind": "arxiv",
    "version": 2
  }
}