Pith Number

pith:ZID7J76C

pith:2025:ZID7J76CWE4KVMWHOT53P6AYBR

not attested not anchored not stored refs pending

Generalized quantum Zernike Hamiltonians: Polynomial Higgs-type algebras and algebraic derivation of the spectrum

Alfonso Blasco, Danilo Latini, Francisco J. Herranz, Ian Marquette, Rutwig Campoamor-Stursberg

arxiv:2502.02491 v2 · 2025-02-04 · quant-ph · math-ph · math.MP · nlin.SI

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZID7J76CWE4KVMWHOT53P6AYBR}

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	2026-05-20T00:04:07.734812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca07f4ffc2b138aab2c774fbb7f8180c7776772029c07f47f162e6188c46cf1e

Aliases

arxiv: 2502.02491 · arxiv_version: 2502.02491v2 · doi: 10.48550/arxiv.2502.02491 · pith_short_12: ZID7J76CWE4K · pith_short_16: ZID7J76CWE4KVMWH · pith_short_8: ZID7J76C

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/ZID7J76CWE4KVMWHOT53P6AYBR \
  | 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: ca07f4ffc2b138aab2c774fbb7f8180c7776772029c07f47f162e6188c46cf1e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf7725e62b291ff248a79b35719fc6969c9b522a2b38ded045704ad30ca2fb3",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-02-04T17:06:54Z",
    "title_canon_sha256": "96ce41cc29a22ca6f3b2aeaec51f25675867cc0f0f58ea10837d59be7c21dc32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02491",
    "kind": "arxiv",
    "version": 2
  }
}