Pith Number

pith:AK32UUIW

pith:2024:AK32UUIWHACHS4BNFX42S73W7M

not attested not anchored not stored refs pending

Exact quantization conditions and full transseries structures for ${\cal PT}$ symmetric anharmonic oscillators

Syo Kamata

arxiv:2406.01230 v2 · 2024-06-03 · 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{AK32UUIWHACHS4BNFX42S73W7M}

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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

4 papers in Pith

The Double Well Done Doubly-Well

Exact WKB method for radial Schr\"odinger equation

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence

Receipt and verification

First computed	2026-07-05T08:58:24.542117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b7aa5116380479702d2df9a97f76fb393cb8f2c0c53fb409362b880553e4f8

Aliases

arxiv: 2406.01230 · arxiv_version: 2406.01230v2 · doi: 10.48550/arxiv.2406.01230 · pith_short_12: AK32UUIWHACH · pith_short_16: AK32UUIWHACHS4BN · pith_short_8: AK32UUIW

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/AK32UUIWHACHS4BNFX42S73W7M \
  | 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: 02b7aa5116380479702d2df9a97f76fb393cb8f2c0c53fb409362b880553e4f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c0274cabf357f303485931bb2e2f2c53d9b11bdf576624fc5c4eda8a2da967",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2024-06-03T11:50:51Z",
    "title_canon_sha256": "23e0a75dd9f4a610f2e8b9659acd521b593b44704de7ca3e03989f8e8e8192b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.01230",
    "kind": "arxiv",
    "version": 2
  }
}