Pith Number

pith:JNK7YZIT

pith:2019:JNK7YZITBPESRHPDJ6CJGMDSRU

not attested not anchored not stored refs pending

A Matrix-Less Method to Approximate the Spectrum and the Spectral Function of Toeplitz Matrices with Complex Eigenvalues

Paris Vassalos, Sven-Erik Ekstr\"om

arxiv:1910.13810 v2 · 2019-10-30 · 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{JNK7YZITBPESRHPDJ6CJGMDSRU}

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	2026-07-05T00:21:38.047695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b55fc65130bc9289de34f849330728d251e3ad207ddc7f25397c8d8177fbd14

Aliases

arxiv: 1910.13810 · arxiv_version: 1910.13810v2 · doi: 10.48550/arxiv.1910.13810 · pith_short_12: JNK7YZITBPES · pith_short_16: JNK7YZITBPESRHPD · pith_short_8: JNK7YZIT

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/JNK7YZITBPESRHPDJ6CJGMDSRU \
  | 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: 4b55fc65130bc9289de34f849330728d251e3ad207ddc7f25397c8d8177fbd14

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "042ed19a29c5cbea030fd11efd6ede202624089b984c9a4ecbf30eb2ddba3d66",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-10-30T12:42:08Z",
    "title_canon_sha256": "63a4f11415e909668924dbca5ce2a2b79b3e3c1c3ca12ca1ad3802fdfdda8716"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.13810",
    "kind": "arxiv",
    "version": 2
  }
}