Pith Number

pith:5DJQNZOS

pith:2015:5DJQNZOS5ID4ZH53EUULD5S3SA

not attested not anchored not stored refs pending

Convergence and Rates for Fixed-Interval Multiple-Track Smoothing Using $k$-Means Type Optimization

Adam M. Johansen, Matthew Thorpe

arxiv:1506.02676 v3 · 2015-06-08 · 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{5DJQNZOS5ID4ZH53EUULD5S3SA}

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	2026-05-18T01:00:12.809284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8d306e5d2ea07cc9fbb2528b1f65b903cee4bd101ea6b92cbc78f2c4ee5d55a

Aliases

arxiv: 1506.02676 · arxiv_version: 1506.02676v3 · doi: 10.48550/arxiv.1506.02676 · pith_short_12: 5DJQNZOS5ID4 · pith_short_16: 5DJQNZOS5ID4ZH53 · pith_short_8: 5DJQNZOS

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/5DJQNZOS5ID4ZH53EUULD5S3SA \
  | 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: e8d306e5d2ea07cc9fbb2528b1f65b903cee4bd101ea6b92cbc78f2c4ee5d55a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24a91576b4e64a1706d3d790bd52cb62b1abf661cf6e229364d76d03d8db1fa3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-06-08T20:08:27Z",
    "title_canon_sha256": "2fc783b42a44abf0c2abfcd3e739882bcfc2d608e3bb2c9170a27ebeac9d7db8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02676",
    "kind": "arxiv",
    "version": 3
  }
}