Pith Number

pith:KJ7ANP3P

pith:2015:KJ7ANP3PQYDQ3LJ2WI7XASTID3

not attested not anchored not stored refs pending

Floquet theorem for open systems and its applications

C. M. Dai, X. X. Yi, Z. C. Shi

arxiv:1512.05562 v1 · 2015-12-17 · 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{KJ7ANP3PQYDQ3LJ2WI7XASTID3}

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	2026-05-18T00:56:46.540477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

527e06bf6f86070dad3ab23f704a681efbeb365ba944811182638cbff0631783

Aliases

arxiv: 1512.05562 · arxiv_version: 1512.05562v1 · doi: 10.48550/arxiv.1512.05562 · pith_short_12: KJ7ANP3PQYDQ · pith_short_16: KJ7ANP3PQYDQ3LJ2 · pith_short_8: KJ7ANP3P

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/KJ7ANP3PQYDQ3LJ2WI7XASTID3 \
  | 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: 527e06bf6f86070dad3ab23f704a681efbeb365ba944811182638cbff0631783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cc985f8a21fbf007afb4d6635ebaf670fa417b10a718014e58ee4f81c3b0f33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-12-17T12:43:44Z",
    "title_canon_sha256": "e5b549a3aa4ddb4fd245a3f1e9fa99486d033e20cc6b459810fd6b3b68c1681e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05562",
    "kind": "arxiv",
    "version": 1
  }
}