Pith Number

pith:5RNRP5LD

pith:2012:5RNRP5LD64E52PPE6WWIE7GBKJ

not attested not anchored not stored refs pending

Spline Smoothing for Estimation of Circular Probability Distributions via Spectral Isomorphism and its Spatial Adaptation

Debapriya Sengupta, Kinjal Basu

arxiv:1209.1740 v1 · 2012-09-08 · stat.ME · stat.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RNRP5LD64E52PPE6WWIE7GBKJ}

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	2026-05-18T00:56:52.511225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec5b17f563f709dd3de4f5ac827cc1524916f770aab38e3883ba57e870d1a4a7

Aliases

arxiv: 1209.1740 · arxiv_version: 1209.1740v1 · doi: 10.48550/arxiv.1209.1740 · pith_short_12: 5RNRP5LD64E5 · pith_short_16: 5RNRP5LD64E52PPE · pith_short_8: 5RNRP5LD

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/5RNRP5LD64E52PPE6WWIE7GBKJ \
  | 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: ec5b17f563f709dd3de4f5ac827cc1524916f770aab38e3883ba57e870d1a4a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9294f3ccf5ed986ada85e8078b45392dd2b327ded9881c0835073ac152ad118",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2012-09-08T18:39:48Z",
    "title_canon_sha256": "f664ca374ae134c4a0b75101265a4988b6ee05f70756af4bd7b62d1e5e1e7482"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1740",
    "kind": "arxiv",
    "version": 1
  }
}