Pith Number

pith:626RKPD7

pith:2022:626RKPD7REMOAZRQHV5PBTFAN3

not attested not anchored not stored refs pending

Randomized matrix-free quadrature: unified and uniform bounds for stochastic Lanczos quadrature and the kernel polynomial method

Shashanka Ubaru, Thomas Trogdon, Tyler Chen

arxiv:2204.01941 v3 · 2022-04-05 · math.NA · cs.DS · 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{626RKPD7REMOAZRQHV5PBTFAN3}

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	2026-07-05T09:48:10.410083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6bd153c7f8918e066303d7af0cca06ef626a37f9ad7f37fc25ae0ce4bb85655

Aliases

arxiv: 2204.01941 · arxiv_version: 2204.01941v3 · doi: 10.48550/arxiv.2204.01941 · pith_short_12: 626RKPD7REMO · pith_short_16: 626RKPD7REMOAZRQ · pith_short_8: 626RKPD7

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/626RKPD7REMOAZRQHV5PBTFAN3 \
  | 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: f6bd153c7f8918e066303d7af0cca06ef626a37f9ad7f37fc25ae0ce4bb85655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cf1276141cdb54769cec7fc1dd738dce58abd4f3bfc62c0950305275d68cfcf",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-04-05T02:23:54Z",
    "title_canon_sha256": "e2c763f39000e8b325ff05751737aa7907e7c5803838f0b3833ee48ad61fd7e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01941",
    "kind": "arxiv",
    "version": 3
  }
}