Pith Number

pith:CQ7YWPTI

pith:2026:CQ7YWPTIWSWZTVX66QEMEDQ4EB

not attested not anchored not stored refs pending

Compatible pairs of Hamiltonian operators of the first and third orders

Paolo Lorenzoni, Raffaele Vitolo, Stanislav Opanasenko

arxiv:2602.14739 v1 · 2026-02-16 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQ7YWPTIWSWZTVX66QEMEDQ4EB}

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	2026-06-23T19:14:10.894797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143f8b3e68b4ad99d6fef408c20e1c207e55145ec6f4adcffc186363c0d6dbdd

Aliases

arxiv: 2602.14739 · arxiv_version: 2602.14739v1 · doi: 10.48550/arxiv.2602.14739 · pith_short_12: CQ7YWPTIWSWZ · pith_short_16: CQ7YWPTIWSWZTVX6 · pith_short_8: CQ7YWPTI

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/CQ7YWPTIWSWZTVX66QEMEDQ4EB \
  | 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: 143f8b3e68b4ad99d6fef408c20e1c207e55145ec6f4adcffc186363c0d6dbdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2b787ea47cbaca4c11de809daba83913b97c2eb4369ba8dcc9e43290ea36b29",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-02-16T13:34:28Z",
    "title_canon_sha256": "5f97f07d2b971e395895e0af8b5177f7e1908329679bf6f6d7bc23f0ed760e06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.14739",
    "kind": "arxiv",
    "version": 1
  }
}