Pith Number

pith:KHYYIO5D

pith:2012:KHYYIO5DCIAZMINA3J2OBEC5A5

not attested not anchored not stored refs pending

Local Linear Regression on Manifolds and its Geometric Interpretation

Hau-Tieng Wu, Ming-Yen Cheng

arxiv:1201.0327 v3 · 2012-01-01 · math.ST · math.NA · 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{KHYYIO5DCIAZMINA3J2OBEC5A5}

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	2026-05-18T03:49:58.304776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51f1843ba312019621a0da74e0905d077cf11e5915ca72a139f94dcda0e05932

Aliases

arxiv: 1201.0327 · arxiv_version: 1201.0327v3 · doi: 10.48550/arxiv.1201.0327 · pith_short_12: KHYYIO5DCIAZ · pith_short_16: KHYYIO5DCIAZMINA · pith_short_8: KHYYIO5D

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/KHYYIO5DCIAZMINA3J2OBEC5A5 \
  | 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: 51f1843ba312019621a0da74e0905d077cf11e5915ca72a139f94dcda0e05932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a91c49777e75f9f37a70364a5996e4b6f87062871caa853d185db6720046faf",
    "cross_cats_sorted": [
      "math.NA",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-01-01T04:19:47Z",
    "title_canon_sha256": "29e77e1f57b8fe7e4c95ddf2aec283389bf97d86a2fb09d85a9acd98cf3960c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0327",
    "kind": "arxiv",
    "version": 3
  }
}