Pith Number

pith:ES46LPF5

pith:2012:ES46LPF57ALDSPHCJATJXGHNRZ

not attested not anchored not stored refs pending

On algebraic Riccati equations associated with M-Matrices

Chun-Hua Guo

arxiv:1212.6461 v1 · 2012-12-28 · math.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{ES46LPF57ALDSPHCJATJXGHNRZ}

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	2026-05-18T03:37:39.661310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24b9e5bcbdf816393ce248269b98ed8e728ebbe9a3525fc0c27e098a4a28129f

Aliases

arxiv: 1212.6461 · arxiv_version: 1212.6461v1 · doi: 10.48550/arxiv.1212.6461 · pith_short_12: ES46LPF57ALD · pith_short_16: ES46LPF57ALDSPHC · pith_short_8: ES46LPF5

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/ES46LPF57ALDSPHCJATJXGHNRZ \
  | 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: 24b9e5bcbdf816393ce248269b98ed8e728ebbe9a3525fc0c27e098a4a28129f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6966e644ad0f9f0d1c8be38f1777ec43820096d55558af44935a47983784dbd1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-12-28T03:52:17Z",
    "title_canon_sha256": "fcd2c9579bfd394d6f71d71b2b4a70a39e19d4b79d71e58ce6822641fdc0696c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6461",
    "kind": "arxiv",
    "version": 1
  }
}