pith. sign in
Pith Number

pith:S56SQYVK

pith:2015:S56SQYVK3E4O5CBPAWVT6APMLS
not attested not anchored not stored refs pending

On the Lewis-Riesenfeld (Dodonov-Man'ko) invariant method

Francisco F. L\'opez-Ruiz, Julio Guerrero

arxiv:1503.01371 v1 · 2015-03-04 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{S56SQYVK3E4O5CBPAWVT6APMLS}

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 2026-05-18T02:25:34.680303Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

977d2862aad938ee882f05ab3f01ec5cb1dba17cd387d6e8433e3c8826bf3b2e

Aliases

arxiv: 1503.01371 · arxiv_version: 1503.01371v1 · doi: 10.48550/arxiv.1503.01371 · pith_short_12: S56SQYVK3E4O · pith_short_16: S56SQYVK3E4O5CBP · pith_short_8: S56SQYVK
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/S56SQYVK3E4O5CBPAWVT6APMLS \
  | 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: 977d2862aad938ee882f05ab3f01ec5cb1dba17cd387d6e8433e3c8826bf3b2e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "76d46766000d9655e747990d753ce04183982e0e195a94a390387a866c5675ba",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-03-04T16:36:47Z",
    "title_canon_sha256": "0882ec0df7110ac6d1fe6e76bade3809e87d4791eb894399a042736549bbef4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01371",
    "kind": "arxiv",
    "version": 1
  }
}