Pith Number

pith:PZZNVCPQ

pith:2018:PZZNVCPQJJGIVJABDKAKKIJI4I

not attested not anchored not stored refs pending

Discrete-time port-Hamiltonian systems: A definition based on symplectic integration

Laurent Lef\`evre, Paul Kotyczka

arxiv:1811.07852 v1 · 2018-11-19 · math.DS · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZZNVCPQJJGIVJABDKAKKIJI4I}

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	2026-05-18T00:00:23.287683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e72da89f04a4c8aa4011a80a52128e207a27c74018d29f9391ecb7ecf71ee93

Aliases

arxiv: 1811.07852 · arxiv_version: 1811.07852v1 · doi: 10.48550/arxiv.1811.07852 · pith_short_12: PZZNVCPQJJGI · pith_short_16: PZZNVCPQJJGIVJAB · pith_short_8: PZZNVCPQ

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/PZZNVCPQJJGIVJABDKAKKIJI4I \
  | 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: 7e72da89f04a4c8aa4011a80a52128e207a27c74018d29f9391ecb7ecf71ee93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbea7ae5746e795cf288b00403e23965c98a437af31582cef194109a223edbca",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-11-19T18:13:39Z",
    "title_canon_sha256": "e39436faf5b37e035432829a6104093040643f6097fdef7ac0cb598d16e964c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07852",
    "kind": "arxiv",
    "version": 1
  }
}