Pith Number

pith:NUJ57COQ

pith:2004:NUJ57COQXLS5TIIXBY6B4IJXLN

not attested not anchored not stored refs pending

Pade-Type Model Reduction of Second-Order and Higher-Order Linear Dynamical Systems

Roland W. Freund

arxiv:math/0410195 v1 · 2004-10-06 · 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{NUJ57COQXLS5TIIXBY6B4IJXLN}

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	2026-06-03T22:06:15.850039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d13df89d0bae5d9a1170e3c1e21375b632d57a2a99aaa21816e5c3c8022c2e7

Aliases

arxiv: math/0410195 · arxiv_version: math/0410195v1 · doi: 10.48550/arxiv.math/0410195 · pith_short_12: NUJ57COQXLS5 · pith_short_16: NUJ57COQXLS5TIIX · pith_short_8: NUJ57COQ

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/NUJ57COQXLS5TIIXBY6B4IJXLN \
  | 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: 6d13df89d0bae5d9a1170e3c1e21375b632d57a2a99aaa21816e5c3c8022c2e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "317ddcbdfd33037f07c4de9e08c26c03d779bcc5e8d46929057f3e3f6184cffc",
    "cross_cats_sorted": [
      "cs.NA",
      "math.DS"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2004-10-06T23:44:43Z",
    "title_canon_sha256": "dbcdd0545e79b0c33a199bbc97e5b94a149545df1ad78e1d34a02c1ff6a29074"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410195",
    "kind": "arxiv",
    "version": 1
  }
}