Pith Number

pith:FSLVKX2B

pith:2018:FSLVKX2BZPJUTFHZUNWSPYSC4W

not attested not anchored not stored refs pending

Singular value decay of operator-valued differential Lyapunov and Riccati equations

Tony Stillfjord

arxiv:1804.02197 v2 · 2018-04-06 · math.OC · 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{FSLVKX2BZPJUTFHZUNWSPYSC4W}

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	2026-05-18T00:08:20.844874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c97555f41cbd34994f9a36d27e242e5af4e9187f9ddc8cd771d5095bbd9bcc9

Aliases

arxiv: 1804.02197 · arxiv_version: 1804.02197v2 · doi: 10.48550/arxiv.1804.02197 · pith_short_12: FSLVKX2BZPJU · pith_short_16: FSLVKX2BZPJUTFHZ · pith_short_8: FSLVKX2B

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/FSLVKX2BZPJUTFHZUNWSPYSC4W \
  | 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: 2c97555f41cbd34994f9a36d27e242e5af4e9187f9ddc8cd771d5095bbd9bcc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a764746c7270c338dc8df7d04efcf01fe0cdca6fc9f9107dc28c3a8b10b526f",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-04-06T10:45:45Z",
    "title_canon_sha256": "ddb15df53ea4c5e4b1dd668658ba14e58c57a0f321557aed80fb2fdbc9332ba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.02197",
    "kind": "arxiv",
    "version": 2
  }
}