Pith Number

pith:W3C4CKLD

pith:2025:W3C4CKLD5NFKOYVWDJQPBG2NCR

not attested not anchored not stored refs pending

$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation

Igor Pontes Duff, Ion Victor Gosea, Sean Reiter, Serkan Gugercin

arxiv:2505.03057 v2 · 2025-05-05 · math.NA · cs.NA · cs.SY · eess.SY · math.DS · 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{W3C4CKLD5NFKOYVWDJQPBG2NCR}

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	2026-06-04T00:06:42.896478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6c5c12963eb4aa762b61a60f09b4d146bc43073fe48010c27220da92d305872

Aliases

arxiv: 2505.03057 · arxiv_version: 2505.03057v2 · doi: 10.48550/arxiv.2505.03057 · pith_short_12: W3C4CKLD5NFK · pith_short_16: W3C4CKLD5NFKOYVW · pith_short_8: W3C4CKLD

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/W3C4CKLD5NFKOYVWDJQPBG2NCR \
  | 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: b6c5c12963eb4aa762b61a60f09b4d146bc43073fe48010c27220da92d305872

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af2ebacba8f3d4b82e41a68ef2aad78d96835920746327953f4d55b64400783f",
    "cross_cats_sorted": [
      "cs.NA",
      "cs.SY",
      "eess.SY",
      "math.DS",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-05-05T22:39:27Z",
    "title_canon_sha256": "58e520b2acca4578b8d4aebe68de829164d3c455117cfd56d7de46840c4b876e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.03057",
    "kind": "arxiv",
    "version": 2
  }
}