Pith Number

pith:OVVPQ7U5

pith:2002:OVVPQ7U5Y5QKQOYHWQZ6CS6JKF

not attested not anchored not stored refs pending

Duality and Self-Duality (Energy Reflection Symmetry) of Quasi-Exactly Solvable Periodic Potentials

Gerald V. Dunne, M. Shifman

arxiv:hep-th/0204224 v1 · 2002-04-25 · hep-th · math-ph · math.MP · 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{OVVPQ7U5Y5QKQOYHWQZ6CS6JKF}

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.

Cited by

1 paper in Pith

Nonperturbative features in the Lie-algebraic K\"ahler sigma model with fermions

Receipt and verification

First computed	2026-07-04T16:34:44.451215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

756af87e9dc760a83b07b433e14bc95147c50e194d1f94d1e161faf133eda235

Aliases

arxiv: hep-th/0204224 · arxiv_version: hep-th/0204224v1 · doi: 10.48550/arxiv.hep-th/0204224 · pith_short_12: OVVPQ7U5Y5QK · pith_short_16: OVVPQ7U5Y5QKQOYH · pith_short_8: OVVPQ7U5

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/OVVPQ7U5Y5QKQOYHWQZ6CS6JKF \
  | 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: 756af87e9dc760a83b07b433e14bc95147c50e194d1f94d1e161faf133eda235

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e51402dc68d762d90af2be12964954302523626b19e511a8739942ff5b7a9026",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-04-25T16:00:13Z",
    "title_canon_sha256": "419d8feba31b46a1f6c873a168785bb775b4824ad53b00e27e943e156a7282d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0204224",
    "kind": "arxiv",
    "version": 1
  }
}