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Paper Citation Record · LEDGER

The exact Schur index in closed form

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2112.09705.

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

pith.paper-citation-record.v1
2112.09705 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:18:54.194876Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T18:25:28.514181Z

Reference resolution

0 of 0 outbound references displayed

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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 50bfbba2-7861-473c-abf6-8d95f0a73ad8 · inbound

Topological Twisting of 4d $\mathcal{N}=2$ Supersymmetric Field Theories cites this paper.

Topological Twisting of 4d $\mathcal{N}=2$ Supersymmetric Field Theories The exact Schur index in closed form

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-12T15:18:54.194876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T15:18:54.194876Z digest=sha256:97f7ec878047f583973062ae1ffae3075dc1d65ebf55fc309fcc7223cc9516f2

Observation 9ae01c5c-ac6a-4fa7-b7d9-5363671cdc8d · inbound

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch cites this paper.

Mirror symmetry for 4d $A_1$ class-$\mathcal{S}$ theories: modularity, defects and Coulomb branch The exact Schur index in closed form

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-11T22:50:17.504969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:50:17.504969Z digest=sha256:efea23052779bf0dbc500c38e0c2286dc12f81f80ead1ef662add6eb3da39836

Observation 75d41fb6-75e9-47dc-90d9-ef33114ba98c · inbound

A landscape of 4d N=1 SCFTs with a=c cites this paper.

A landscape of 4d N=1 SCFTs with a=c The exact Schur index in closed form

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-11T05:15:54.801110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:15:54.801110Z digest=sha256:c8de9c642fc81e8104affbc63d6514b2e79004e14f75b5a1f33b81c35e79736d

Observation c8ff006a-cfba-41e1-a5d3-9f5cfe9d4f5d · inbound

Global symmetries: locality, unitarity, and regularity cites this paper.

Global symmetries: locality, unitarity, and regularity The exact Schur index in closed form

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-21T18:25:28.515925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-21T18:24:33.528016Z digest=sha256:fff0a588bd0840fc986a2bd71e3f4e6b4a1e256a2fb574bc06cd739f71bdfcda

Observation d758ae0d-8619-4c8d-9add-72db4e1b965d · inbound

Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules cites this paper.

Character Identities Between Affine and Virasoro Vertex Operator Algebra Modules The exact Schur index in closed form

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-03T20:30:10.536194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T20:30:10.536194Z digest=sha256:225d870bf78d044de1014a359fc3a51973a8f0039bd0f186c562a67b32fbb762

Observation 1a928629-c54a-4953-b182-b80fdd1c1fe6 · inbound

Generalised 4d Partition Functions and Modular Differential Equations cites this paper.

Generalised 4d Partition Functions and Modular Differential Equations The exact Schur index in closed form

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-17T02:48:54.345036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-17T02:44:04.510184Z digest=sha256:510b470beef772df8017c3031f11fc8d8fd53b2b663e990dab57f0b98ccc1cd0

Observation 3629bf1c-4e72-40d8-9fbd-0b628cc0d667 · inbound

On non-relativistic integrable models and 4d SCFTs cites this paper.

On non-relativistic integrable models and 4d SCFTs The exact Schur index in closed form

Reference 147

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:31:03.822035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-10T01:34:04.950997Z digest=sha256:1e2c3e571ddb2ee7e4a039a25e71e23bc3f9c6ae3dbbe20db5b16866a6dff123

Observation 82fbbb53-cdea-4687-be2c-0337161fa5c6 · inbound

Interior zeros of supersymmetric indices cites this paper.

Interior zeros of supersymmetric indices The exact Schur index in closed form

Reference 34

Resolution
unresolved
no resolver link, observed 2026-07-31T16:31:31.095707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T16:31:31.095707Z digest=sha256:ece970e0cf3f2ebfdd13e5cb06320c5306447ab0382b7ba0997c156de952a1db

Observation 5bd327c4-dc91-41e5-9806-22342ab0eb95 · inbound

Line operator indices of S-fold theories cites this paper.

Line operator indices of S-fold theories The exact Schur index in closed form

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-03T14:21:37.850434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:21:37.850434Z digest=sha256:b1346757dddb29ef690b1579926d990632032b42bb5532c05420c90d91db0051