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Paper Citation Record · LEDGER

Modular invariance as completeness

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 11 inbound Pith citation observations for arXiv:2408.04011.

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

pith.paper-citation-record.v1
2408.04011 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:29:10.629429Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T07:26:03.239844Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
  • unresolved0
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  • malformed identifier0
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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 55e63d9b-3ad1-44e7-b2d6-7c538cdb2065 · inbound

Entanglement asymmetry and symmetry defects in boundary conformal field theory cites this paper.

Entanglement asymmetry and symmetry defects in boundary conformal field theory Modular invariance as completeness

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-12T20:29:10.629429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T20:29:10.629429Z digest=sha256:dbf96a8a46cdf0024e0ecb2f8bcb9b2183e13b575dcfb3845600bd5c5c285022

Observation 5cfccb4f-a1d4-41aa-be5d-24e146fe29a2 · inbound

Entanglement asymmetry in CFT with boundary symmetry breaking cites this paper.

Entanglement asymmetry in CFT with boundary symmetry breaking Modular invariance as completeness

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-12T19:56:44.038904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:56:44.038904Z digest=sha256:0cc952a9de2c75efbb040e578107e010ecb850491f48502310bb44ebce5856de

Observation fdbdac2a-32ab-443e-8602-de71971b9969 · inbound

Selection rules for RG flows of minimal models cites this paper.

Selection rules for RG flows of minimal models Modular invariance as completeness

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T10:30:50.273104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T10:30:50.273104Z digest=sha256:811400f51d94ac12b5619d87cdae7aa3129a0b696c91389e800d6738d16696e7

Observation f15b3bee-2f38-4ad5-b8c5-f8f8d0231014 · inbound

Entanglement asymmetry dynamics in random quantum circuits cites this paper.

Entanglement asymmetry dynamics in random quantum circuits Modular invariance as completeness

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T17:15:40.340296Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T17:15:40.340296Z digest=sha256:271eae224b0253c5167b1caa4c0a5283c1905f1511896f4ba7eb38d3ace64e17

Observation f8cd642e-265f-4d67-b81b-f1cfb3ab1938 · inbound

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra cites this paper.

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra Modular invariance as completeness

Reference 100

Resolution
unresolved
no resolver link, observed 2026-08-06T15:07:41.780397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:07:41.780397Z digest=sha256:0b89727174bc0517766233836bbf4ead828f0bcda0c5b4d08a10fc986e7641a3

Observation 81ff06ff-cce6-4ad8-a774-3f627e2e5f47 · inbound

Disjoint additivity and local quantum physics cites this paper.

Disjoint additivity and local quantum physics Modular invariance as completeness

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-05T10:57:38.144632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:57:38.144632Z digest=sha256:f157943c99415be0c662fe29f27bda10b5f9eae98c6eb7e633e8ebf26d055953

Observation 63d57e12-5a8e-4475-bdb7-bf6ca1b1e7eb · inbound

Information Loss in Generalized Symmetry Breaking cites this paper.

Information Loss in Generalized Symmetry Breaking Modular invariance as completeness

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-04T13:54:37.719943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T13:54:37.719943Z digest=sha256:a4b11a2f7367a4f2986d4f0a0dd4ae9239d2e50674846106b39696625704900b

Observation 35cf90fe-f2a1-4734-8c17-873d4570b813 · inbound

Algebraic locality and non-invertible Gauss laws cites this paper.

Algebraic locality and non-invertible Gauss laws Modular invariance as completeness

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-22T09:11:21.261873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-22T09:08:52.243181Z digest=sha256:478a0f9960c1493738dcaf41d5fd1daaac58db26d8ab087d8a5a212a3a6994f4

Observation f9dccf7b-925b-45ac-9bb6-b64941d13735 · inbound

Algebraic locality and non-invertible Gauss laws cites this paper.

Algebraic locality and non-invertible Gauss laws Modular invariance as completeness

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T13:48:27.008931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:48:27.008931Z digest=sha256:0eb24caeacddb48876245bafdbc2906736e96e71e7fea8e015db953af16cdcd1

Observation 76a0be6e-6aa0-42d4-a5ba-267d7f75a8fa · inbound

Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories cites this paper.

Wormholes as red herrings: reflection positivity and the reconstruction of unitary quantum field theories Modular invariance as completeness

Reference 86

Resolution
verified exact
arxiv_id, observed 2026-07-03T19:48:53.811081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-03T19:39:35.189207Z digest=sha256:0e40a01c9ac93f16e7febaa0ecae725f1a905658a2a0e0b057515dc162a46d29

Observation 3361bedd-b764-4e00-b09f-dbc27edcbd14 · inbound

Entanglement Asymmetry in Random Quantum Automata cites this paper.

Entanglement Asymmetry in Random Quantum Automata Modular invariance as completeness

Reference 98

Resolution
verified exact
local_arxiv, observed 2026-07-09T07:26:03.241408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-09T07:23:38.047188Z digest=sha256:46946aef6c4f9c7f397567bb0623b7389aa551a5a5ebb6098337713c12b4eed1