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Pith Number

pith:OUW6NNEB

pith:2009:OUW6NNEBSGEFGVW2TUO7QTABOM
not attested not anchored not stored refs pending

Unified theory of exactly and quasi-exactly solvable `Discrete' quantum mechanics: I. Formalism

Ryu Sasaki, Satoru Odake

arxiv:0903.2604 v1 · 2009-03-15 · math-ph · hep-th · math.CA · math.MP · nlin.SI · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OUW6NNEBSGEFGVW2TUO7QTABOM}

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 2026-05-18T02:14:28.217680Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

752de6b48191885356da9d1df84c017337aeb8c21ce9945a467072daca38d1db

Aliases

arxiv: 0903.2604 · arxiv_version: 0903.2604v1 · doi: 10.48550/arxiv.0903.2604 · pith_short_12: OUW6NNEBSGEF · pith_short_16: OUW6NNEBSGEFGVW2 · pith_short_8: OUW6NNEB
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OUW6NNEBSGEFGVW2TUO7QTABOM \
  | 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: 752de6b48191885356da9d1df84c017337aeb8c21ce9945a467072daca38d1db
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "02fcf8653278adbcac35991c702fca0222a7e4e449ffb35bfdbc7761857c5d34",
    "cross_cats_sorted": [
      "hep-th",
      "math.CA",
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-03-15T04:34:41Z",
    "title_canon_sha256": "ca612ed066d7bd6d17288e11592710de6ffa03a3c1abb06d87e6e475ce29a9ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2604",
    "kind": "arxiv",
    "version": 1
  }
}