Pith Number

pith:H32YGMHK

pith:2015:H32YGMHK2CGVJZC2XWHSLFBBTL

not attested not anchored not stored refs pending

Dual pairs of generalized Lyapunov inequalities and balanced truncation of stochastic linear systems

Peter Benner, Tobias Damm, Yolanda Rocio Rodriguez Cruz

arxiv:1504.02155 v1 · 2015-04-08 · math.DS · 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{H32YGMHK2CGVJZC2XWHSLFBBTL}

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	2026-05-18T00:48:55.077353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ef58330ead08d54e45abd8f2594219aed08076e0450ee30733cb3023288151a

Aliases

arxiv: 1504.02155 · arxiv_version: 1504.02155v1 · doi: 10.48550/arxiv.1504.02155 · pith_short_12: H32YGMHK2CGV · pith_short_16: H32YGMHK2CGVJZC2 · pith_short_8: H32YGMHK

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/H32YGMHK2CGVJZC2XWHSLFBBTL \
  | 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: 3ef58330ead08d54e45abd8f2594219aed08076e0450ee30733cb3023288151a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6225446912fd0ac52452e589c3fcfd59182522086ae27624421e1f7e58076e9",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-08T23:37:51Z",
    "title_canon_sha256": "b661195243be41c4f6cb0c80ad35a95c94de56fb8bf83dfcb17dd5e8141f1173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02155",
    "kind": "arxiv",
    "version": 1
  }
}