Pith Number

pith:XKF3UAQA

pith:2013:XKF3UAQA2DNJLLWXRI3H3T4HLH

not attested not anchored not stored refs pending

Optimal upper and lower bounds for the true and empirical excess risks in heteroscedastic least-squares regression

Adrien Saumard

arxiv:1304.6691 v2 · 2013-04-24 · 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{XKF3UAQA2DNJLLWXRI3H3T4HLH}

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	2026-05-18T01:37:51.465355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba8bba0200d0da95aed78a367dcf8759ffb5928cba169b066b3cc43be2dae703

Aliases

arxiv: 1304.6691 · arxiv_version: 1304.6691v2 · doi: 10.48550/arxiv.1304.6691 · pith_short_12: XKF3UAQA2DNJ · pith_short_16: XKF3UAQA2DNJLLWX · pith_short_8: XKF3UAQA

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/XKF3UAQA2DNJLLWXRI3H3T4HLH \
  | 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: ba8bba0200d0da95aed78a367dcf8759ffb5928cba169b066b3cc43be2dae703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2336c4564d9f4467cb7a7385e999b895e4c1cc01af04921e61bd12c9f5887d4e",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-04-24T18:26:40Z",
    "title_canon_sha256": "bb9fdd40b82a3aa4e30b8c91058c8901f0e0a65b54a596e4e516f88ea47a9071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6691",
    "kind": "arxiv",
    "version": 2
  }
}