Pith Number

pith:V5RY75DZ

pith:2009:V5RY75DZVSX5VBDWCFLH5ZX446

not attested not anchored not stored refs pending

Superintegrability of the Tremblay-Turbiner-Winternitz quantum Hamiltonians on a plane for odd $k$

C. Quesne

arxiv:0911.4404 v2 · 2009-11-23 · math-ph · hep-th · math.MP · math.QA · 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{V5RY75DZVSX5VBDWCFLH5ZX446}

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	2026-05-18T02:10:37.485304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af638ff479acafda847611567ee6fce79a69c8d6dc3dab72965c56dcd08c8040

Aliases

arxiv: 0911.4404 · arxiv_version: 0911.4404v2 · doi: 10.48550/arxiv.0911.4404 · pith_short_12: V5RY75DZVSX5 · pith_short_16: V5RY75DZVSX5VBDW · pith_short_8: V5RY75DZ

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/V5RY75DZVSX5VBDWCFLH5ZX446 \
  | 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: af638ff479acafda847611567ee6fce79a69c8d6dc3dab72965c56dcd08c8040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19faf041c8138d396a8d85e6fb33c96925952a82ad4f4cf25626986ff9d5607",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-11-23T13:51:32Z",
    "title_canon_sha256": "cb86217ba03f9a4f08522b01d73c938f8778957b1c8ff1cd2c188cf65798b296"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4404",
    "kind": "arxiv",
    "version": 2
  }
}