Pith Number

pith:Y47VMCAB

pith:2026:Y47VMCABUC7XCVTZAPT75AMV2K

not attested not anchored not stored refs pending

Another Look at Log-PCA for Probability Measures: A Dynamical Formulation and Statistical Convergence

Changbo Zhu, Peng Xu, Xiaohui Chen, Young-Heon Kim

arxiv:2606.17196 v1 · 2026-06-15 · stat.ML · cs.LG · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y47VMCABUC7XCVTZAPT75AMV2K}

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	2026-06-19T16:10:05.634106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c73f560801a0bf71567903e7fe8195d2ab83113d594ca2a96ef665c0eb340a21

Aliases

arxiv: 2606.17196 · arxiv_version: 2606.17196v1 · doi: 10.48550/arxiv.2606.17196 · pith_short_12: Y47VMCABUC7X · pith_short_16: Y47VMCABUC7XCVTZ · pith_short_8: Y47VMCAB

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/Y47VMCABUC7XCVTZAPT75AMV2K \
  | 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: c73f560801a0bf71567903e7fe8195d2ab83113d594ca2a96ef665c0eb340a21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4346083b2733ece2fa97c91d269cc363848ae212df6a850f86e5913be9d7f8fe",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-15T18:36:20Z",
    "title_canon_sha256": "8b3fdc3f50ee46343034d7838dfb74bfe1c29d862d08d26341f65568d5df3377"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17196",
    "kind": "arxiv",
    "version": 1
  }
}