Pith Number

pith:IRDXWTHW

pith:2026:IRDXWTHWHCZS2Q6G27PQ7EKNKY

not attested not anchored not stored refs pending

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

(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:2607.19507 v1 · 2026-07-21 · math.NA · cs.NA · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRDXWTHWHCZS2Q6G27PQ7EKNKY}

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	2026-07-23T00:23:53.945544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44477b4cf638b32d43c6d7df0f914d5604dbd677cdaa037b084b2ffefa1ba804

Aliases

arxiv: 2607.19507 · arxiv_version: 2607.19507v1 · doi: 10.48550/arxiv.2607.19507 · pith_short_12: IRDXWTHWHCZS · pith_short_16: IRDXWTHWHCZS2Q6G · pith_short_8: IRDXWTHW

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/IRDXWTHWHCZS2Q6G27PQ7EKNKY \
  | 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: 44477b4cf638b32d43c6d7df0f914d5604dbd677cdaa037b084b2ffefa1ba804

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f600a1bdeec6b28acf233dca86142233909c434e8e73b6a329dfa6de76749027",
    "cross_cats_sorted": [
      "cs.NA",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-07-21T18:44:26Z",
    "title_canon_sha256": "ac9df3cf45a64c61ab87280bbbdfd9d346bc711dab84d1b24db35861f42feb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19507",
    "kind": "arxiv",
    "version": 1
  }
}