Pith Number

pith:36P6OQOK

pith:2016:36P6OQOKPAGUIRGC7PWK7CLUAS

not attested not anchored not stored refs pending

WKB and Resurgence in the Mathieu Equation

Gerald V. Dunne, Mithat Unsal

arxiv:1603.04924 v1 · 2016-03-16 · math-ph · hep-th · 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{36P6OQOKPAGUIRGC7PWK7CLUAS}

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

2 papers in Pith

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

Receipt and verification

First computed	2026-05-18T00:08:01.042194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df9fe741ca780d4444c2fbecaf897404a1cdc9a82ccf720e184345830b3a834f

Aliases

arxiv: 1603.04924 · arxiv_version: 1603.04924v1 · doi: 10.48550/arxiv.1603.04924 · pith_short_12: 36P6OQOKPAGU · pith_short_16: 36P6OQOKPAGUIRGC · pith_short_8: 36P6OQOK

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/36P6OQOKPAGUIRGC7PWK7CLUAS \
  | 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: df9fe741ca780d4444c2fbecaf897404a1cdc9a82ccf720e184345830b3a834f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a3fce569a7a17031209b4a608b66b1710143a7a8f34f12bf8555bcc94bcce93",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-16T00:28:18Z",
    "title_canon_sha256": "05d6a4ce8f9f8cafd5e02e23c63b039784407179bb3388a9bd64755f7872672d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04924",
    "kind": "arxiv",
    "version": 1
  }
}