Pith Number

pith:2K4XLKDL

pith:2024:2K4XLKDLPOQ3NQSOMLNCOIYVLQ

not attested not anchored not stored refs pending

Estimating the numerical range with a Krylov subspace

Cecilia Chen, John Urschel

arxiv:2411.19165 v1 · 2024-11-28 · 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{2K4XLKDLPOQ3NQSOMLNCOIYVLQ}

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

Spectral density estimation for normal matrices

Receipt and verification

First computed	2026-07-05T09:41:58.229022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b975a86b7ba1b6c24e62da2723155c09ac4d089241de64c51384754c14a32f

Aliases

arxiv: 2411.19165 · arxiv_version: 2411.19165v1 · doi: 10.48550/arxiv.2411.19165 · pith_short_12: 2K4XLKDLPOQ3 · pith_short_16: 2K4XLKDLPOQ3NQSO · pith_short_8: 2K4XLKDL

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/2K4XLKDLPOQ3NQSOMLNCOIYVLQ \
  | 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: d2b975a86b7ba1b6c24e62da2723155c09ac4d089241de64c51384754c14a32f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce351475a1ab769cdfba926f48a6e87817920f974c0aa78e70cfbb61eed6c719",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-11-28T14:06:56Z",
    "title_canon_sha256": "8f2d3628d9b49ef9e437029f0b723363f8382f686f79c87aefeeb379b0c9f587"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19165",
    "kind": "arxiv",
    "version": 1
  }
}