Pith Number

pith:M6RZVDLF

pith:2005:M6RZVDLFVCSKDS4SBCUDRIYT2W

not attested not anchored not stored refs pending

Krylov subspaces associated with higher-order linear dynamical systems

Roland W. Freund

arxiv:math/0501484 v1 · 2005-01-27 · math.NA · cs.NA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6RZVDLFVCSKDS4SBCUDRIYT2W}

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	2026-06-03T22:06:16.204313Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67a39a8d65a8a4a1cb9208a838a313d58d3bace3eb42cd0fc670e1ae6d9fa8e1

Aliases

arxiv: math/0501484 · arxiv_version: math/0501484v1 · doi: 10.48550/arxiv.math/0501484 · pith_short_12: M6RZVDLFVCSK · pith_short_16: M6RZVDLFVCSKDS4S · pith_short_8: M6RZVDLF

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/M6RZVDLFVCSKDS4SBCUDRIYT2W \
  | 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: 67a39a8d65a8a4a1cb9208a838a313d58d3bace3eb42cd0fc670e1ae6d9fa8e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72297b2e03e66a8f88a69e8e3f1d9871c42b6092b4c2789fae78255d7db9ac96",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-01-27T00:28:48Z",
    "title_canon_sha256": "439930850325d1734c62cfa21ba4db44920f9b8e48a68538c2cfa26dc9fbe9a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501484",
    "kind": "arxiv",
    "version": 1
  }
}