Pith Number

pith:FUPZKWHP

pith:2025:FUPZKWHPQUSHENZ7EZWY6DIBUZ

not attested not anchored not stored refs pending

Approaching Optimality for Solving Dense Linear Systems with Low-Rank Structure

Aaron Sidford, Micha{\l} Derezi\'nski

arxiv:2507.11724 v1 · 2025-07-15 · cs.DS · cs.NA · math.NA · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FUPZKWHPQUSHENZ7EZWY6DIBUZ}

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	2026-07-05T11:37:49.357694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d1f9558ef852472373f266d8f0d01a649d65b00a8dd281d9f6db8ba72416b4f

Aliases

arxiv: 2507.11724 · arxiv_version: 2507.11724v1 · doi: 10.48550/arxiv.2507.11724 · pith_short_12: FUPZKWHPQUSH · pith_short_16: FUPZKWHPQUSHENZ7 · pith_short_8: FUPZKWHP

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/FUPZKWHPQUSHENZ7EZWY6DIBUZ \
  | 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: 2d1f9558ef852472373f266d8f0d01a649d65b00a8dd281d9f6db8ba72416b4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b37bb788ef54bd734ca7356a8a816feb8e4fedae3520bca0f7ab17c6d1be39d",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2025-07-15T20:48:30Z",
    "title_canon_sha256": "776d8c7165527d07a82f8d9548284b907a6bd924b644bdefec2ea4a1797c5a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11724",
    "kind": "arxiv",
    "version": 1
  }
}