Pith Number

pith:42RWZ5JI

pith:2025:42RWZ5JIBGQNJ7VOOYM57P32ZM

not attested not anchored not stored refs pending

Subspace decomposition in regularized least-squares: solution properties, restricted coercivity and beyond

Feng Xue, Hui Zhang

arxiv:2507.20686 v2 · 2025-07-28 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{42RWZ5JIBGQNJ7VOOYM57P32ZM}

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	2026-07-05T12:02:48.922450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6a36cf52809a0d4feae7619dfbf7acb25fb83c1e6212c8d0a97ddb46c8c7230

Aliases

arxiv: 2507.20686 · arxiv_version: 2507.20686v2 · doi: 10.48550/arxiv.2507.20686 · pith_short_12: 42RWZ5JIBGQN · pith_short_16: 42RWZ5JIBGQNJ7VO · pith_short_8: 42RWZ5JI

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/42RWZ5JIBGQNJ7VOOYM57P32ZM \
  | 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: e6a36cf52809a0d4feae7619dfbf7acb25fb83c1e6212c8d0a97ddb46c8c7230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "575b92852127d47c8c55ebbe25317cfa4ed63c68822ba10c37cbae32a1b69871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-07-28T10:13:08Z",
    "title_canon_sha256": "49cd41b580cca93cd1954d17cda4c0803e87159f9a2f8c1274f4239cabbe6e86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20686",
    "kind": "arxiv",
    "version": 2
  }
}