Pith Number

pith:4KVMAZAF

pith:2023:4KVMAZAFX6N46ARLU2Q52I7S2I

not attested not anchored not stored refs pending

Exact WKB Analysis and TBA Equations for the Stark Effect

Jingjing Yang, Katsushi Ito

arxiv:2307.03504 v3 · 2023-07-07 · hep-th · math-ph · math.MP · physics.atom-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{4KVMAZAFX6N46ARLU2Q52I7S2I}

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

4 papers in Pith

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

TBA equations for $SU(r+1)$ quantum Seiberg-Witten curve: higher-order Mathieu equation

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

Receipt and verification

First computed	2026-07-05T08:51:42.531296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2aac06405bf9bcf022ba6a1dd23f2d207610dd61e2b72473abfcb86e420553b

Aliases

arxiv: 2307.03504 · arxiv_version: 2307.03504v3 · doi: 10.48550/arxiv.2307.03504 · pith_short_12: 4KVMAZAFX6N4 · pith_short_16: 4KVMAZAFX6N46ARL · pith_short_8: 4KVMAZAF

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/4KVMAZAFX6N46ARLU2Q52I7S2I \
  | 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: e2aac06405bf9bcf022ba6a1dd23f2d207610dd61e2b72473abfcb86e420553b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5197bea7c0d446e4b1f7772dec3f47f676c348bc58737908cb755fdb906ec810",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-07-07T10:40:20Z",
    "title_canon_sha256": "6588ad02e8253cb87b2d5ec61a57c242f80a56460134af14bfedf1aca681db4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.03504",
    "kind": "arxiv",
    "version": 3
  }
}