Pith Number

pith:LE4D32MV

pith:2025:LE4D32MVHXE62F26NSX7U3VVE7

not attested not anchored not stored refs pending

On continuum and resonant spectra from exact WKB analysis

Okuto Morikawa, Shoya Ogawa

arxiv:2508.09211 v3 · 2025-08-11 · quant-ph · hep-th · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LE4D32MVHXE62F26NSX7U3VVE7}

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

Geometric phase from encircling an exceptional point of a quantum resonance in the complex-scaling method

Receipt and verification

First computed	2026-05-29T01:04:54.901981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59383de9953dc9ed175e6caffa6eb527d37ddae53db615169773749080cb010d

Aliases

arxiv: 2508.09211 · arxiv_version: 2508.09211v3 · doi: 10.48550/arxiv.2508.09211 · pith_short_12: LE4D32MVHXE6 · pith_short_16: LE4D32MVHXE62F26 · pith_short_8: LE4D32MV

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/LE4D32MVHXE62F26NSX7U3VVE7 \
  | 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: 59383de9953dc9ed175e6caffa6eb527d37ddae53db615169773749080cb010d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14e51807b89c463bda6dfe0169c3640ea0c3b984c68d2e2e0fad92e3f6bfe363",
    "cross_cats_sorted": [
      "hep-th",
      "nucl-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-08-11T08:45:06Z",
    "title_canon_sha256": "0f6b12485663bbc5fe10ffc456fbe1f8b367ce1e4c7fe9caf15cd8dd9e60b895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.09211",
    "kind": "arxiv",
    "version": 3
  }
}