Pith Number

pith:QZU7P3XF

pith:2025:QZU7P3XFS5CCBRHXQDLKXUKKVW

not attested not anchored not stored refs pending

Principal Curves In Metric Spaces And The Space Of Probability Measures

Andrew Warren, Anton Afanassiev, Forest Kobayashi, Geoffrey Schiebinger, Young-Heon Kim

arxiv:2505.04168 v1 · 2025-05-07 · 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{QZU7P3XFS5CCBRHXQDLKXUKKVW}

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.

Cited by

1 paper in Pith

On the convergence of graph Laplacians with a symmetric divergence

Receipt and verification

First computed	2026-07-05T10:59:37.885258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8669f7eee5974420c4f780d6abd14aad90cacc8cb7c0c392c897f0f4f1b7574a

Aliases

arxiv: 2505.04168 · arxiv_version: 2505.04168v1 · doi: 10.48550/arxiv.2505.04168 · pith_short_12: QZU7P3XFS5CC · pith_short_16: QZU7P3XFS5CCBRHX · pith_short_8: QZU7P3XF

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/QZU7P3XFS5CCBRHXQDLKXUKKVW \
  | 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: 8669f7eee5974420c4f780d6abd14aad90cacc8cb7c0c392c897f0f4f1b7574a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c27dd0d2fe5b6a6fa5197657ee3d941c58df1a4a0b245be4480624dc2369ddf6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-05-07T06:44:34Z",
    "title_canon_sha256": "32d7e884ff80410eefb038e8e9c340fee84e1d507b481b0f6c30c1ac4da5b8f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04168",
    "kind": "arxiv",
    "version": 1
  }
}