Pith Number

pith:PF52RYKF

pith:2022:PF52RYKFBLRRWDQ7DWI3HPJLVQ

not attested not anchored not stored refs pending

A Lagrange subspace approach to dissipation inequalities

Arjan van der Schaft, Volker Mehrmann

arxiv:2203.13527 v1 · 2022-03-25 · 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{PF52RYKFBLRRWDQ7DWI3HPJLVQ}

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	2026-07-05T04:08:33.098596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797ba8e1450ae31b0e1f1d91b3bd2bac08f8af3f0a8d13ad018de30ab3e09c03

Aliases

arxiv: 2203.13527 · arxiv_version: 2203.13527v1 · doi: 10.48550/arxiv.2203.13527 · pith_short_12: PF52RYKFBLRR · pith_short_16: PF52RYKFBLRRWDQ7 · pith_short_8: PF52RYKF

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/PF52RYKFBLRRWDQ7DWI3HPJLVQ \
  | 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: 797ba8e1450ae31b0e1f1d91b3bd2bac08f8af3f0a8d13ad018de30ab3e09c03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95775f6a5137dd6ab9eb10a599d779769c48a0f7d552eecbd57ec382672d9d56",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-03-25T09:24:42Z",
    "title_canon_sha256": "8b461977ddc28a0676e9105fffb093b8768ad3875732405ad21c1e9b3b23d2cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.13527",
    "kind": "arxiv",
    "version": 1
  }
}