Paper Citation Record · LEDGER

Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:quant-ph/0501136.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
quant-ph/0501136 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T18:52:54.607468Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-04T14:39:57.474994Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 5c7d28bd-f429-47d0-bc01-8ee6c2cca29d · inbound

Exact WKB in all sectors II: Potentials with non-degenerate saddles cites this paper.

Exact WKB in all sectors II: Potentials with non-degenerate saddles Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T20:15:06.628796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1735b36-58d3-4c04-afd5-333f8a7072d1 · inbound

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

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:50:50.359156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4aa3c9d0-66b3-4ffb-a68a-e34b935cf5d6 · inbound

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

Exact WKB analysis of inverted triple-well: resonance, PT-symmetry breaking, and resurgence Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-13T07:52:31.449379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 01f3124e-ffc2-41b6-b48e-7be1a6bffa7a · inbound

Beyond the Dilute Instanton Gas: Resurgence with Exact Saddles in the Double Well cites this paper.

Beyond the Dilute Instanton Gas: Resurgence with Exact Saddles in the Double Well Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-11T11:46:33.176207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fab93e2a-a80d-4659-adcc-f56466f770ec · inbound

The Double Well Done Doubly-Well cites this paper.

The Double Well Done Doubly-Well Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 43

Resolution: verified exact; local_arxiv, observed 2026-07-02T10:16:52.467523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7dac3f11-7a57-4355-ab76-7a2f40387f1b · inbound

Weak-Strong Resurgence Duality cites this paper.

Weak-Strong Resurgence Duality Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-07-04T14:39:57.476324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2a48d484-4112-4474-8518-932729a94186 · inbound

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models cites this paper.

Partition Functions of Hermitian and PT-Symmetric Oscillators from Integrable Models Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T18:52:54.607468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.