Pith Number

pith:M3MPZFT6

pith:2021:M3MPZFT6QZG4HFHEWQGMDVBBE5

not attested not anchored not stored refs pending

Exact-WKB, complete resurgent structure, and mixed anomaly in quantum mechanics on $S^1$

Mithat \"Unsal, Naohisa Sueishi, Syo Kamata, Tatsuhiro Misumi

arxiv:2103.06586 v2 · 2021-03-11 · quant-ph · hep-th · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3MPZFT6QZG4HFHEWQGMDVBBE5}

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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

5 papers in Pith

Analytic approaches to perturbations of strongly coupled Yang-Mills plasma

Exact WKB method for radial Schr\"odinger equation

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

Adiabatic continuity in a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion

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

Receipt and verification

First computed	2026-07-05T11:13:03.835458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d8fc967e864dc394e4b40cc1d4212760d3b967387f9c16d920c2a6a58ccdf6

Aliases

arxiv: 2103.06586 · arxiv_version: 2103.06586v2 · doi: 10.48550/arxiv.2103.06586 · pith_short_12: M3MPZFT6QZG4 · pith_short_16: M3MPZFT6QZG4HFHE · pith_short_8: M3MPZFT6

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/M3MPZFT6QZG4HFHEWQGMDVBBE5 \
  | 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: 66d8fc967e864dc394e4b40cc1d4212760d3b967387f9c16d920c2a6a58ccdf6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3fa60b52a1c53869ef318bc57dc6482a14b4d187e7c7701debb88050b537f60",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-03-11T10:32:12Z",
    "title_canon_sha256": "abed30b7ffe3429bd510c04a3fd620a21969e9fa694281fc27846537778b7956"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.06586",
    "kind": "arxiv",
    "version": 2
  }
}