Pith Number

pith:SCD5OK4R

pith:2022:SCD5OK4RMFN6HDM6QFLE7EG4LR

not attested not anchored not stored refs pending

Generalized phase-space description of non-linear Hamiltonian systems and the Harper-like dynamics

Alex E. Bernardini, Orfeu Bertolami

arxiv:2202.12036 v2 · 2022-02-24 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SCD5OK4RMFN6HDM6QFLE7EG4LR}

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	2026-07-05T04:06:19.379879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9087d72b91615be38d9e81564f90dc5c5cad695fccae59d47d68a49f4f373969

Aliases

arxiv: 2202.12036 · arxiv_version: 2202.12036v2 · doi: 10.48550/arxiv.2202.12036 · pith_short_12: SCD5OK4RMFN6 · pith_short_16: SCD5OK4RMFN6HDM6 · pith_short_8: SCD5OK4R

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/SCD5OK4RMFN6HDM6QFLE7EG4LR \
  | 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: 9087d72b91615be38d9e81564f90dc5c5cad695fccae59d47d68a49f4f373969

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef6e8cca8749c87fb23e5e6e552440963ff5196ee4898b3fb8ef488b04c1c7af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-02-24T11:31:54Z",
    "title_canon_sha256": "d25f7a082fc0e57b5f0b0715ad231fe39a70abdd94f7231f33981edcac1c7900"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2202.12036",
    "kind": "arxiv",
    "version": 2
  }
}