Pith Number

pith:IHL2WBZ6

pith:2026:IHL2WBZ6B7CXLNHU2TSKTT4WLV

not attested not anchored not stored refs pending

Beyond Negative-Ridge Endpoints: Mixed-Sign Spectral Regularization via Negative-Shifted Gradient Descent

Peng Zhao

arxiv:2607.22474 v1 · 2026-07-24 · cs.LG · math.ST · 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{IHL2WBZ6B7CXLNHU2TSKTT4WLV}

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	2026-07-27T01:21:22.917817Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41d7ab073e0fc575b4f4d4e4a9cf965d5dad9daa6f4d66c323a16fb99937106b

Aliases

arxiv: 2607.22474 · arxiv_version: 2607.22474v1 · doi: 10.48550/arxiv.2607.22474 · pith_short_12: IHL2WBZ6B7CX · pith_short_16: IHL2WBZ6B7CXLNHU · pith_short_8: IHL2WBZ6

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/IHL2WBZ6B7CXLNHU2TSKTT4WLV \
  | 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: 41d7ab073e0fc575b4f4d4e4a9cf965d5dad9daa6f4d66c323a16fb99937106b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d478293a89273df6517cbdd8acec19469705117e50aa9d4cbc411d8e414765b",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-24T16:42:46Z",
    "title_canon_sha256": "37965cdecd6b705bd20e38c48387cc3c32d3a09b20b333f8d9b4db17e0779a8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22474",
    "kind": "arxiv",
    "version": 1
  }
}