Pith Number

pith:RXPJ6G5M

pith:2025:RXPJ6G5MBHPCBYLXDX76Z3LH6Z

not attested not anchored not stored refs pending

A structural bound for cluster robustness of randomized small-block Lanczos

Nian Shao

arxiv:2507.10144 v2 · 2025-07-14 · 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{RXPJ6G5MBHPCBYLXDX76Z3LH6Z}

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	2026-06-02T01:03:32.667168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dde9f1bac09de20e1771dffeced67f67c268fcc50283c02aaba18ced4136283

Aliases

arxiv: 2507.10144 · arxiv_version: 2507.10144v2 · doi: 10.48550/arxiv.2507.10144 · pith_short_12: RXPJ6G5MBHPC · pith_short_16: RXPJ6G5MBHPCBYLX · pith_short_8: RXPJ6G5M

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/RXPJ6G5MBHPCBYLXDX76Z3LH6Z \
  | 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: 8dde9f1bac09de20e1771dffeced67f67c268fcc50283c02aaba18ced4136283

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fa27d2371f2b5b12847889ab269d970d25e050496d9084ceaf6511b5004272d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-14T10:43:21Z",
    "title_canon_sha256": "a200e1a6dc0a91e2e298359725bd15fe0324e845bfb1d1e302fba4e45394ff7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.10144",
    "kind": "arxiv",
    "version": 2
  }
}