Pith Number

pith:R2EXQWQE

pith:2025:R2EXQWQEP3CGLQJX7IUU7JXNC6

not attested not anchored not stored refs pending

Bilinear Quadratic Output Systems and Balanced Truncation

(2) Department of Mathematics, Academy of Data Science, Data Analytics, Division of Computational Modeling, Heike Fa{\ss}bender (1), Serkan Gugercin (2), Till Peters (1) ((1) Institute for Numerical Analysis, TU Braunschweig, Virginia Tech)

arxiv:2507.03684 v1 · 2025-07-04 · math.NA · cs.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{R2EXQWQEP3CGLQJX7IUU7JXNC6}

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.

Cited by

1 paper in Pith

Bilinear Systems with Quadratic Outputs: $\mathcal{H}_2$ Analysis, Optimality Conditions for Model Reduction, and Algorithmic Solutions

Receipt and verification

First computed	2026-07-05T11:32:03.680016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e89785a047ec465c137fa294fa6ed178dce1c40bf8005d7ca9d43d30e56f20e

Aliases

arxiv: 2507.03684 · arxiv_version: 2507.03684v1 · doi: 10.48550/arxiv.2507.03684 · pith_short_12: R2EXQWQEP3CG · pith_short_16: R2EXQWQEP3CGLQJX · pith_short_8: R2EXQWQE

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/R2EXQWQEP3CGLQJX7IUU7JXNC6 \
  | 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: 8e89785a047ec465c137fa294fa6ed178dce1c40bf8005d7ca9d43d30e56f20e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdce6b16de281c543040b226edf1c728e0392d6572d00e657289a8d067f0400a",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-04T16:04:15Z",
    "title_canon_sha256": "31384dcd6627044c33e60ea86243d045b2e015d9ad558447874821109c1ae3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03684",
    "kind": "arxiv",
    "version": 1
  }
}