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Paper Citation Record · LEDGER

BPS Indices, Modularity and Perturbations in Quantum K-theory

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2106.07670.

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

pith.paper-citation-record.v1
2106.07670 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:31:12.374843Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T17:08:43.845431Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 6b5c5101-59c9-47ae-993c-4aeb0cd85e5b · inbound

Quantum K-theory levels in physics and math cites this paper.

Quantum K-theory levels in physics and math BPS Indices, Modularity and Perturbations in Quantum K-theory

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-06T21:31:12.374843Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:31:12.374843Z digest=sha256:96373fe0224ef1a5251d91b3b2b381eb80415ca52edac86385f9171a7d025a3e

Observation 20f43468-f93e-4c77-93f0-f75fb347e0d1 · inbound

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries cites this paper.

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries BPS Indices, Modularity and Perturbations in Quantum K-theory

Reference 83

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:25:45.451290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-21T23:24:31.981215Z digest=sha256:257f1c07ff0ded73ca8f2d91e13ed9133df802e10ebe2f80f16ec0364235f949

Observation 021ad8ed-ab82-493a-84cf-75a538ef88f7 · inbound

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials cites this paper.

Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials BPS Indices, Modularity and Perturbations in Quantum K-theory

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-16T20:11:13.284492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-16T20:10:16.517351Z digest=sha256:3be4a7c2823fc46cbe8bc5ff034d758e8e45daff8f165d67d1e6381b0dd3bd27

Observation 47312579-b27a-4d88-b1da-127673e67a13 · inbound

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials cites this paper.

Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials BPS Indices, Modularity and Perturbations in Quantum K-theory

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-16T10:37:44.900232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-16T10:36:26.896871Z digest=sha256:a36f9799b838e929c16d368cbd7ef00340a8dc1570658a25973baeec89a15b44

Observation 2e5c80b9-2812-446a-a051-74d051966866 · inbound

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective cites this paper.

On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective BPS Indices, Modularity and Perturbations in Quantum K-theory

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-03T17:08:43.846770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T04:30:43.031868Z digest=sha256:6a395a68402c20941f33a54c5097aa2cb2aa8dba2cf67c1171eb336d23515922