Pith Number

pith:GMB7HG7Q

pith:2015:GMB7HG7QSC64MUKBQIDFCWDNHC

not attested not anchored not stored refs pending

Multiple penalized principal curves: analysis and computation

Dejan Slep\v{c}ev, Slav Kirov

arxiv:1512.05010 v2 · 2015-12-15 · math.AP · cs.CV · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GMB7HG7QSC64MUKBQIDFCWDNHC}

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	2026-05-18T01:07:20.938383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3303f39bf090bdc65141820651586d38a26b724da0648804ebe65c7db7539d50

Aliases

arxiv: 1512.05010 · arxiv_version: 1512.05010v2 · doi: 10.48550/arxiv.1512.05010 · pith_short_12: GMB7HG7QSC64 · pith_short_16: GMB7HG7QSC64MUKB · pith_short_8: GMB7HG7Q

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/GMB7HG7QSC64MUKBQIDFCWDNHC \
  | 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: 3303f39bf090bdc65141820651586d38a26b724da0648804ebe65c7db7539d50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9a35c262fbc363151935c853976c987ef8d04da931881335e1ade6114289ec2",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-15T23:26:50Z",
    "title_canon_sha256": "d49e298ea52bd2a121a90b09eedc57b5c53e08f46f0c274d622dd2af87ee71a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05010",
    "kind": "arxiv",
    "version": 2
  }
}