Pith Number

pith:IU2I4ZKA

pith:2015:IU2I4ZKASBTFQDTFJHWY2KEKPT

not attested not anchored not stored refs pending

Computational Limits of A Distributed Algorithm For Smoothing Spline

Guang Cheng, Zuofeng Shang

arxiv:1512.09226 v2 · 2015-12-31 · 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{IU2I4ZKASBTFQDTFJHWY2KEKPT}

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	2026-05-18T00:39:48.014228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45348e65409066580e6549ed8d288a7cf0c17aa1cf79a7c51746a1bcdee257a8

Aliases

arxiv: 1512.09226 · arxiv_version: 1512.09226v2 · doi: 10.48550/arxiv.1512.09226 · pith_short_12: IU2I4ZKASBTF · pith_short_16: IU2I4ZKASBTFQDTF · pith_short_8: IU2I4ZKA

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/IU2I4ZKASBTFQDTFJHWY2KEKPT \
  | 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: 45348e65409066580e6549ed8d288a7cf0c17aa1cf79a7c51746a1bcdee257a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe06cc044e760ab0af2490d51c05e0cc49cd94eddea5f508cf10b0c629694e86",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-12-31T06:32:55Z",
    "title_canon_sha256": "efcb303cba98c8e208dc2da5165ab02fd27ddf3ce71132b3ba4a596897abc503"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09226",
    "kind": "arxiv",
    "version": 2
  }
}