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Paper Citation Record · LEDGER

BPS Indices, Modularity and Perturbations in Quantum K-theory

As of 11 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 2026-08-11T06:34:44.6726+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:cee23541ef494af3d307faef66504bb1feac7c5d5e5c7408fbc7d29f2e544c8a

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-21T23:24:31.981215Z digest=sha256:ecb4d4b121f47b8881aaf55e9859eb6247849460f93190b01953c2df1f05afbb

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-16T20:10:16.517351Z digest=sha256:bdc9d29a2e2f6a98fe8b171f39518df29ac9f866be7793f02bc6bfec9763ae30

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-16T10:36:26.896871Z digest=sha256:00d1b95ee201c4ac76e7bc1794c43e871b2e67f1a12b7a6e23726b9626e1924e

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-27T04:30:43.031868Z digest=sha256:e511adb4c41be06b490efe9ffd70fe560df2e296d4a031f5658048d7a2d551c0