Pith Number

pith:NQGM3K4T

pith:2018:NQGM3K4TW3VTAFMBSUUYOG4AKU

not attested not anchored not stored refs pending

Sharp error bounds for Ritz vectors and approximate singular vectors

Yuji Nakatsukasa

arxiv:1810.02532 v2 · 2018-10-05 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NQGM3K4TW3VTAFMBSUUYOG4AKU}

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.

Cited by

1 paper in Pith

Accuracy of approximate projection to the semidefinite cone

Receipt and verification

First computed	2026-07-05T00:28:44.805002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c0ccdab93b6eb3015819529871b8055025a3c41f42dc3a5b1bfc410ac91a539

Aliases

arxiv: 1810.02532 · arxiv_version: 1810.02532v2 · doi: 10.48550/arxiv.1810.02532 · pith_short_12: NQGM3K4TW3VT · pith_short_16: NQGM3K4TW3VTAFMB · pith_short_8: NQGM3K4T

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/NQGM3K4TW3VTAFMBSUUYOG4AKU \
  | 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: 6c0ccdab93b6eb3015819529871b8055025a3c41f42dc3a5b1bfc410ac91a539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb96c316791c0484d3c7cec0c88daa50ef9d870675d988b0347d0b3d0f15e9be",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-10-05T06:23:09Z",
    "title_canon_sha256": "b84e24572f484228a0a4dd2834293d1ef68b47d2ba353880961dd30f3bd753ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.02532",
    "kind": "arxiv",
    "version": 2
  }
}