Pith Number

pith:G4Y62YTJ

pith:2026:G4Y62YTJ4WBIM5GMSR7UX2GNXK

not attested not anchored not stored refs pending

The Phase Transition in Online PCA Depends on $n/d\log(d)$, not $n/d$

Apratim Dey

arxiv:2607.23914 v1 · 2026-07-27 · math.ST · eess.SP · math.PR · stat.ML · 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{G4Y62YTJ4WBIM5GMSR7UX2GNXK}

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	2026-07-28T01:23:17.507506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3731ed6269e5828674cc947f4be8cdbab464b2e4fb9819833fda4c4733359d9a

Aliases

arxiv: 2607.23914 · arxiv_version: 2607.23914v1 · doi: 10.48550/arxiv.2607.23914 · pith_short_12: G4Y62YTJ4WBI · pith_short_16: G4Y62YTJ4WBIM5GM · pith_short_8: G4Y62YTJ

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/G4Y62YTJ4WBIM5GMSR7UX2GNXK \
  | 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: 3731ed6269e5828674cc947f4be8cdbab464b2e4fb9819833fda4c4733359d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e66752f50f65846385961cdd6ae14860bcd0591ad89f994afc0f998a1ab2506",
    "cross_cats_sorted": [
      "eess.SP",
      "math.PR",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-27T01:06:31Z",
    "title_canon_sha256": "bafa5ee5adf4c5d3e05a7af09215fa038e854e94410112c373314337e33373bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23914",
    "kind": "arxiv",
    "version": 1
  }
}