{"as_of":"2026-08-10T12:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b7b338eddf486f2a50da115096e7ab219a90c3e5a6b77e93c5c5c3764e73540f","coverage":[{"denominator":43,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":43,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:28:14.548983Z","state":"measured"},{"denominator":47,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":47,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T05:45:42.172498Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-03T15:58:38.185866Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.22808","snapshot_observed_at":"2026-08-05T05:45:42.172498Z","title":"Root-T ¯TFlows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2509.05081","last_updated":"2025-09-05T13:20:48Z","snapshot_observed_at":"2026-08-08T03:37:30.161743Z","submitted_at":"2025-09-05T13:20:48Z","title":"Soliton Surfaces and the Geometry of Integrable Deformations of the $\\mathbb{CP}^{N-1}$ Model","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-05T05:45:42.172498Z"},"links":{"cited_paper":"/paper/2507.22808","citing_paper":"/paper/2509.05081"},"observation_digest":"sha256:f9f555ba1558825ab75989e607fadd4ed2d4ad6eeb577c4dc880a1b4cabb9718","observation_id":"56abe83b-4bed-43ad-8e2f-b317cfbaaa08","resolution":{"observed_at":"2026-08-05T05:45:42.172498Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2507.22808","snapshot_observed_at":"2026-08-03T04:44:25.213769Z","title":"Root-T ¯TFlows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2602.04662","last_updated":"2026-05-23T08:50:58Z","snapshot_observed_at":"2026-08-03T04:44:23.031715Z","submitted_at":"2026-02-04T15:36:32Z","title":"Courant-Hilbert deformations of Yang-Baxter sigma models","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T04:44:25.213769Z"},"links":{"cited_paper":"/paper/2507.22808","citing_paper":"/paper/2602.04662"},"observation_digest":"sha256:e429a5f4c8b74ccd2111c91b0555fb158b93acd20fc37f25f1050b3b95085df2","observation_id":"3aa9524e-1ca8-4334-931a-3175a082f8d1","resolution":{"observed_at":"2026-08-03T04:44:25.213769Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"cited_work":{"arxiv_id":"2507.22808","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.22808","snapshot_observed_at":"2026-07-03T15:58:38.185866Z","title":"Babaei-Aghbolagh, B","venue":null,"work_id":"9e3c7d41-d88d-4312-94bd-3cc5d03ae693","year":2025},"citing_paper":{"arxiv_id":"2606.00536","last_updated":"2026-05-30T05:09:59Z","snapshot_observed_at":"2026-08-05T21:25:24.364524Z","submitted_at":"2026-05-30T05:09:59Z","title":"The Triple $T\\bar{T}$-Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T18:34:59.564733Z"},"links":{"cited_paper":"/paper/2507.22808","citing_paper":"/paper/2606.00536"},"observation_digest":"sha256:0cbf6d489abcb0a1ed4e6b4a4242d9cb63ad4fb883bf44b5ddb8882d56f939d4","observation_id":"e5ec8f53-2bbb-445c-b6d1-dfbb5afb92a1","resolution":{"observed_at":"2026-06-28T20:32:37.872933Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"cited_work":{"arxiv_id":"2507.22808","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2507.22808","snapshot_observed_at":"2026-07-03T15:58:38.185866Z","title":"Babaei-Aghbolagh, B","venue":null,"work_id":"9e3c7d41-d88d-4312-94bd-3cc5d03ae693","year":2025},"citing_paper":{"arxiv_id":"2606.13064","last_updated":"2026-06-11T08:50:09Z","snapshot_observed_at":"2026-08-04T08:13:13.292141Z","submitted_at":"2026-06-11T08:50:09Z","title":"Exact Relevant Stress-Tensor Flows and a Causality No-Go in Self-Dual Electrodynamics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-27T06:14:58.974789Z"},"links":{"cited_paper":"/paper/2507.22808","citing_paper":"/paper/2606.13064"},"observation_digest":"sha256:8c09b37f1ab80366594b168f37fb62148f9d191aa9bbc3d1d987316a1da68aaf","observation_id":"49728b74-9993-42c8-968d-359577694dfa","resolution":{"observed_at":"2026-07-03T15:58:38.187196Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.22808/citation-record","integrity":"/paper/2507.22808/integrity","json":"/paper/2507.22808/citation-record.json","paper":"/paper/2507.22808"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.545040Z","title":null,"venue":null,"work_id":"ea93b59a-ced4-40d4-b6f9-0defff167a71","year":null},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.254989Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:407bd0fdbdd1091a3d6e92bb57da131e76ab117406d8f0188fa92178d5d4b3e0","observation_id":"d6d94c76-f6db-4a99-a41e-388143bc86d9","resolution":{"observed_at":"2026-08-06T11:28:15.549320Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.530131Z","title":null,"venue":null,"work_id":"91872f8e-da27-4e3c-9349-90c0ac309a62","year":null},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.260096Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:96c4f3ef2a6dad04bc26ffa8fa327d9341dac0834150c7c10bfab0360a183583","observation_id":"af3a04c0-9be8-4611-a8ea-7bd7abf76a86","resolution":{"observed_at":"2026-08-06T11:28:15.534947Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.473304Z","title":"ℓ(τ) = 1 λ ( 1− ( 1− 1 qλτ )q)","venue":null,"work_id":"120491c7-0aca-4239-b392-a6500f6d2af4","year":null},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.279128Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:2e06455403dd63c6bd0afb74317e118144a6430e99956277b692ce02bb0ef3e1","observation_id":"e2cdee50-77a0-4ad6-8917-585550dcc662","resolution":{"observed_at":"2026-08-06T11:28:15.477263Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.515211Z","title":null,"venue":null,"work_id":"e73360a1-0b55-4c2d-998b-7cf7428e3f2d","year":null},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.264790Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:4315b42a8f30e0e09ed8142266d1bfa8b1475e08d7ac4fec6adda803188ce17c","observation_id":"30048406-118f-457d-ac56-de173f65de29","resolution":{"observed_at":"2026-08-06T11:28:15.519229Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.501254Z","title":"This function is defined by the following expres- sion: ℓλ(τ) =− 1 λ ( 1− √ 1 + 2λτ )","venue":null,"work_id":"0c5b2b5a-6cf7-4a7a-a489-0b94117949b7","year":null},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.269924Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:06c2234271f6020c2cf87818fd93219c793a607bdbe610f2c1783b1f1bae6532","observation_id":"54e5731f-64b2-4d8e-a555-74c48fd8bdb8","resolution":{"observed_at":"2026-08-06T11:28:15.505676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.486715Z","title":"These models can be systematically de- rived through appropriate transformations of the fundamental equation (16) when applied to the CH-function ℓ(τ) =− 1 λ log(1−λτ)","venue":null,"work_id":"3ad5b221-9072-46db-b3dc-c6e42f4f023a","year":null},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.274655Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:db7c7de66ca644204522e94d814f0737bf7052b9a533ef59fcac73c47ed5bdf3","observation_id":"e7a314d8-69c3-4fc7-81ea-d3fe71d4c5fc","resolution":{"observed_at":"2026-08-06T11:28:15.491385Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.460285Z","title":"To achieve this, we consider the following potential: Ω(y) = 1 4λ ( (y−3 + 3y)− 4 ) , (33) wherey is determined by: y = √ 2λq1 + √ 9 + 4λ(λq2 1− 3q2) 3− 4λq2","venue":null,"work_id":"603c0a58-3d63-41c7-8ba1-fa1faf68f8dc","year":null},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.283559Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:a411690ac7eeaa96f7c59bee5ec624cf55cb279aaf1b27da42f07968725001fe","observation_id":"f2fea58e-8678-4d0d-8a3c-d1ea644b3742","resolution":{"observed_at":"2026-08-06T11:28:15.464465Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:14.288286Z","title":"Born and L","venue":null,"work_id":null,"year":1934},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.288286Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:e0594e768040f99920e15a93aa84e588dda9afb6cda9f87af5710fde5e924134","observation_id":"8ef7af64-77ba-4ad3-8986-a4bca959cf8d","resolution":{"observed_at":"2026-08-06T11:28:14.288286Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.436875Z","title":null,"venue":null,"work_id":"bf201e27-8afd-40be-8642-4c7a36be0e8e","year":1985},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.292423Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:5a259d6dcf454a2e711716cdcb1b12f8f4fc605da93db80898652a8af6006d00","observation_id":"564e606e-e04d-4f23-9931-4ec6fafb3cd0","resolution":{"observed_at":"2026-08-06T11:28:15.441101Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1702.00191","last_updated":"2017-07-12T04:17:07Z","snapshot_observed_at":"2026-07-06T05:28:19.888161Z","submitted_at":"2017-02-01T10:24:49Z","title":"Duality constraints on effective actions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1702.00191","snapshot_observed_at":"2026-08-06T11:28:14.296469Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.296469Z"},"links":{"cited_paper":"/paper/1702.00191","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:3465d47f1fa4aa79bdea381d8b18fe3bfbac7af8fa1b002527f03a66338d1f90","observation_id":"80783f53-90ab-4b06-a780-7e7aa547e161","resolution":{"observed_at":"2026-08-06T11:28:14.296469Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.422530Z","title":null,"venue":null,"work_id":"4d54a0af-4c17-48ab-890a-04cbe47910a7","year":1987},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.301195Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:9a2452b53c32f84b32a691d4b88e811df6cf7922f4324ee10472d6330d2bc469","observation_id":"d74c8b0c-8914-45f4-b949-cd366afd124c","resolution":{"observed_at":"2026-08-06T11:28:15.427010Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.408283Z","title":"Bialynicki-Birula, (1984)","venue":null,"work_id":"7e57451b-e834-4b4f-830a-6beecb80c184","year":1984},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.411558Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:263078a72643fc0a816d1d7df54ac15fcea15b592c87ece24ab100f6ca7634e6","observation_id":"c568e9f0-805d-456d-ae86-01e9ab055301","resolution":{"observed_at":"2026-08-06T11:28:15.412428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9712103","last_updated":"1997-12-10T05:27:24Z","snapshot_observed_at":"2026-07-07T05:15:23.204448Z","submitted_at":"1997-12-10T05:27:24Z","title":"Nonlinear Electromagnetic Self-Duality and Legendre Transformations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9712103","snapshot_observed_at":"2026-08-06T11:28:14.415761Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.415761Z"},"links":{"cited_paper":"/paper/hep-th/9712103","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:bffaa0c00f2bc27b39c7139e294ec6b29ed222ebd585f6f76fe94f558408fbad","observation_id":"52a5d496-d1df-4332-8727-bd08ac571474","resolution":{"observed_at":"2026-08-06T11:28:14.415761Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9506035","last_updated":"1995-08-27T10:31:39Z","snapshot_observed_at":"2026-08-05T23:39:24.440974Z","submitted_at":"1995-06-06T15:18:11Z","title":"Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9506035","snapshot_observed_at":"2026-08-06T11:28:14.421241Z","title":null,"venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.421241Z"},"links":{"cited_paper":"/paper/hep-th/9506035","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:96e250683d61c812b281d2a71d8b3c4e3b40da9197443d7f47bdd08b05d07248","observation_id":"82ad24d0-faa4-49a5-ac1d-29303ba6ab84","resolution":{"observed_at":"2026-08-06T11:28:14.421241Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9509141","last_updated":"1995-09-25T22:30:44Z","snapshot_observed_at":"2026-07-07T05:09:03.282627Z","submitted_at":"1995-09-25T22:30:44Z","title":"SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9509141","snapshot_observed_at":"2026-08-06T11:28:14.425735Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.425735Z"},"links":{"cited_paper":"/paper/hep-th/9509141","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:7b369d0a74c9924aa574fe19a7ab2d6c9070e7cd2535341c998e8ce333d0c286","observation_id":"6ced50c2-d1af-4e96-a37f-3c88c2ddb148","resolution":{"observed_at":"2026-08-06T11:28:14.425735Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2309.04253","last_updated":"2023-11-29T03:58:51Z","snapshot_observed_at":"2026-07-06T16:16:07.182657Z","submitted_at":"2023-09-08T10:36:56Z","title":"Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2309.04253","snapshot_observed_at":"2026-08-06T11:28:14.430240Z","title":"Ferko, S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.430240Z"},"links":{"cited_paper":"/paper/2309.04253","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:fb4d82cec0a6576787261b6f247043b64fa958512af209bde7bd97d639a0a2ee","observation_id":"50a2f23c-bdf5-4680-922a-28b089e825da","resolution":{"observed_at":"2026-08-06T11:28:14.430240Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2507.16502","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.297258Z","title":null,"venue":null,"work_id":"e5b97180-7299-40af-9ea9-53f758d34921","year":2025},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.434469Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:1b9985cb02e65ccc1c052fc7f181c25072628cda3fdda0898c5511a557225198","observation_id":"e444f384-f795-4aff-a5ec-db92c3c6d579","resolution":{"observed_at":"2026-08-06T11:28:15.304492Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1608.05499","last_updated":"2016-11-13T14:52:30Z","snapshot_observed_at":"2026-07-06T05:07:31.150458Z","submitted_at":"2016-08-19T05:52:29Z","title":"On space of integrable quantum field theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.05499","snapshot_observed_at":"2026-08-06T11:28:14.439108Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.439108Z"},"links":{"cited_paper":"/paper/1608.05499","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:90cde487cd5811a006d9d38e45b3cf4e9e5b353e03533fbfa43144f216936a4b","observation_id":"ce24ac9e-4aa3-488b-b43f-41747490019a","resolution":{"observed_at":"2026-08-06T11:28:14.439108Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1608.05534","last_updated":"2016-09-03T18:58:39Z","snapshot_observed_at":"2026-07-06T05:07:31.150458Z","submitted_at":"2016-08-19T08:45:13Z","title":"$T \\bar{T}$-deformed 2D Quantum Field Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1608.05534","snapshot_observed_at":"2026-08-06T11:28:14.443276Z","title":"Cavaglià, S","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.443276Z"},"links":{"cited_paper":"/paper/1608.05534","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:822feeaed4d538bf93255a9044e7f08df0532603f7a4f6e138a3f485a1ffea96","observation_id":"e1e35bb4-097f-448a-8121-9cd9d5dbce46","resolution":{"observed_at":"2026-08-06T11:28:14.443276Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1806.11515","last_updated":"2018-07-07T20:42:49Z","snapshot_observed_at":"2026-08-02T12:27:30.881048Z","submitted_at":"2018-06-29T16:19:59Z","title":"Generalised Born-Infeld models, Lax operators and the $\\textrm{T} \\bar{\\textrm{T}}$ perturbation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1806.11515","snapshot_observed_at":"2026-08-06T11:28:14.447821Z","title":"Conti, L","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.447821Z"},"links":{"cited_paper":"/paper/1806.11515","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:8dd88dac1e06d0dc0b890b30fce150c59a6f453467af0a00585533bb2d9ec33d","observation_id":"1c40a879-7d2b-47ee-9d14-35bcda985a7e","resolution":{"observed_at":"2026-08-06T11:28:14.447821Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2504.10361","last_updated":"2025-09-07T05:31:42Z","snapshot_observed_at":"2026-08-07T16:05:49.660290Z","submitted_at":"2025-04-14T16:08:34Z","title":"Root-$T\\bar{T}$ Deformations on Causal Self-Dual Electrodynamic Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2504.10361","snapshot_observed_at":"2026-08-06T11:28:14.452662Z","title":"Babaei-Aghbolagh, K","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.452662Z"},"links":{"cited_paper":"/paper/2504.10361","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:1f445f8489b35d4d1bc1d390c799a6fa1b152a4336a581f1c84cf081dbe6391c","observation_id":"94adb774-4490-4a3c-885c-452da3f274a1","resolution":{"observed_at":"2026-08-06T11:28:14.452662Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:14.456997Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.456997Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:df75b526541f953ca66bc149473e874dbf472ea20947bfd8a4048c9ba67713f6","observation_id":"d288165b-2c17-432e-99ce-820e62a6cb2f","resolution":{"observed_at":"2026-08-06T11:28:14.456997Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.13636","last_updated":"2021-03-27T20:37:09Z","snapshot_observed_at":"2026-08-10T10:52:40.648128Z","submitted_at":"2020-12-25T22:34:26Z","title":"$T\\bar{T}$-like Flows in Non-linear Electrodynamic Theories and S-duality","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.13636","snapshot_observed_at":"2026-08-06T11:28:14.461492Z","title":"Babaei-Aghbolagh, K","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.461492Z"},"links":{"cited_paper":"/paper/2012.13636","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:238533e7f71a852b11c4ebd3bd3a2e0d659784ae553e22a6a9ce4f1c6d8a9584","observation_id":"d4e7fac5-c6f9-489c-93b6-0cc9686309a5","resolution":{"observed_at":"2026-08-06T11:28:14.461492Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1910.01599","last_updated":"2019-10-03T17:04:41Z","snapshot_observed_at":"2026-08-10T10:55:36.096886Z","submitted_at":"2019-10-03T17:04:41Z","title":"Non-Linear Supersymmetry and $T\\bar T$-like Flows","version":1},"cited_work":{"arxiv_id":"1910.01599","doi":null,"metadata_source":"pith","pith_arxiv_id":"1910.01599","snapshot_observed_at":"2026-08-06T11:28:15.041145Z","title":"Non-Linear Supersymmetry and $T\\bar T$-like Flows","venue":"hep-th","work_id":"c69d64f6-f12d-4a76-bec0-adf9d581b9fa","year":2019},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.465970Z"},"links":{"cited_paper":"/paper/1910.01599","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:cdc15f755b4860028c4d9571deed05720b61be743bcb72f43b2a6950a4ae86cb","observation_id":"b503c342-5d90-4a21-98e5-2b96a5841ac5","resolution":{"observed_at":"2026-08-06T11:28:15.046268Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.03698","last_updated":"2025-09-07T05:52:12Z","snapshot_observed_at":"2026-07-06T18:41:23.047537Z","submitted_at":"2024-07-04T07:38:10Z","title":"Generalized $T\\overline{T}$-like Deformations in Duality-Invariant Nonlinear Electrodynamic Theories","version":2},"cited_work":{"arxiv_id":"2407.03698","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.03698","snapshot_observed_at":"2026-08-06T11:28:15.018468Z","title":"Generalized $T\\overline{T}$-like Deformations in Duality-Invariant Nonlinear Electrodynamic Theories","venue":"hep-th","work_id":"93623f3e-eaf6-4cf8-a3fe-b13618447bbd","year":2024},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.470725Z"},"links":{"cited_paper":"/paper/2407.03698","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:c2431533bed6e925fe9b4de7c8af70192f055d6150a78786f63c548110a2fd0e","observation_id":"df18c54d-ca37-489f-9532-3a1081650d68","resolution":{"observed_at":"2026-08-06T11:28:15.023396Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:15.393416Z","title":"Courant and D","venue":null,"work_id":"b7be1d06-3c48-4ff2-98d2-5d726b736bd4","year":1962},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.475175Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:6b8849bf7795ec53a4909e6e83d6802b2fb7aabf8b7266e5ef1165096b25cde2","observation_id":"84203dcd-6da7-47ba-8450-56f8edb000db","resolution":{"observed_at":"2026-08-06T11:28:15.397778Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2206.04657","last_updated":"2022-07-18T14:20:18Z","snapshot_observed_at":"2026-07-06T13:19:12.109592Z","submitted_at":"2022-06-09T17:56:03Z","title":"Maximally symmetric nonlinear extension of electrodynamics and charged particles","version":2},"cited_work":{"arxiv_id":"2206.04657","doi":null,"metadata_source":"pith","pith_arxiv_id":"2206.04657","snapshot_observed_at":"2026-08-06T11:28:14.992489Z","title":"Maximally symmetric nonlinear extension of electrodynamics and charged particles","venue":"hep-th","work_id":"e7eecf46-7de1-41c3-a28a-25eeb007e91d","year":2022},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.479302Z"},"links":{"cited_paper":"/paper/2206.04657","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:2ddbeabbd3e481c7b59aaa0b8fb564233eb26d89ca8887df1db98d456e19a32f","observation_id":"87cb7a97-5b1a-42c6-8cbf-e55115468857","resolution":{"observed_at":"2026-08-06T11:28:14.999278Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T11:28:14.483748Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.483748Z"},"links":{"citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:1832ad3a50da002fc7ab0f0769df51055df0d2b244a5d18858eeb1748a8119bc","observation_id":"85de0ef5-8619-4dd9-8651-49610065acba","resolution":{"observed_at":"2026-08-06T11:28:14.483748Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2202.11156","last_updated":"2022-04-05T12:10:58Z","snapshot_observed_at":"2026-08-07T12:14:08.808864Z","submitted_at":"2022-02-22T20:22:43Z","title":"Emergence of non-linear electrodynamic theories from $T\\bar{T}$-like deformations","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2202.11156","snapshot_observed_at":"2026-08-06T11:28:14.487632Z","title":"Babaei-Aghbolagh, K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.487632Z"},"links":{"cited_paper":"/paper/2202.11156","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:a556f9fa33505076efb71a2034ff19a97abbeb92b51ff673595b0f5cad29cc1e","observation_id":"48a38618-0790-4295-a1a3-3863d019d1aa","resolution":{"observed_at":"2026-08-06T11:28:14.487632Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2007.09092","last_updated":"2020-11-20T18:05:27Z","snapshot_observed_at":"2026-08-06T08:31:31.932251Z","submitted_at":"2020-07-17T16:16:55Z","title":"A non-linear duality-invariant conformal extension of Maxwell's equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2007.09092","snapshot_observed_at":"2026-08-06T11:28:14.491956Z","title":"Bandos, K","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.491956Z"},"links":{"cited_paper":"/paper/2007.09092","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:84a6b9f31c2e7a389a80acf8d98f82fd2b6f6f7aa71b51ee2f5083a0299e471d","observation_id":"1f96788e-d947-4071-af39-8d45b68e0a1d","resolution":{"observed_at":"2026-08-06T11:28:14.491956Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2401.06707","last_updated":"2024-05-18T11:34:22Z","snapshot_observed_at":"2026-08-06T05:53:10.260613Z","submitted_at":"2024-01-12T17:16:05Z","title":"Causal Self-Dual Electrodynamics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.06707","snapshot_observed_at":"2026-08-06T11:28:14.496099Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.496099Z"},"links":{"cited_paper":"/paper/2401.06707","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:c18284f10961a1fceae278e1845363389f1631eda00db93f254a1f21fe68790f","observation_id":"69e53143-3911-41c0-808a-d18896e6e307","resolution":{"observed_at":"2026-08-06T11:28:14.496099Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.02577","last_updated":"2024-09-16T11:57:02Z","snapshot_observed_at":"2026-08-09T13:32:27.504774Z","submitted_at":"2024-07-02T18:01:02Z","title":"Dualities of Self-Dual Nonlinear Electrodynamics","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.02577","snapshot_observed_at":"2026-08-06T11:28:14.500075Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.500075Z"},"links":{"cited_paper":"/paper/2407.02577","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:69ec126fa8342d02387313433f028cb6add296e1a0099c328277ce2fddb493d4","observation_id":"c8732c40-9df6-44e0-ba3d-2fb91f358027","resolution":{"observed_at":"2026-08-06T11:28:14.500075Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2404.09994","last_updated":"2024-04-15T17:59:57Z","snapshot_observed_at":"2026-07-06T18:00:30.424554Z","submitted_at":"2024-04-15T17:59:57Z","title":"Causality and Energy Conditions in Nonlinear Electrodynamics","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.09994","snapshot_observed_at":"2026-08-06T11:28:14.504469Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.504469Z"},"links":{"cited_paper":"/paper/2404.09994","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:02da4caa19a1bcdd2636d670800ded033954573c58f07839441718a9d74a82f3","observation_id":"8095c53a-8cae-4003-8923-0cdf59ef682a","resolution":{"observed_at":"2026-08-06T11:28:14.504469Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.14274","last_updated":"2022-12-15T19:29:37Z","snapshot_observed_at":"2026-08-06T00:36:15.952181Z","submitted_at":"2022-09-28T17:39:19Z","title":"On the Classical Integrability of Root-$T \\overline{T}$ Flows","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.14274","snapshot_observed_at":"2026-08-06T11:28:14.508836Z","title":"Borsato, C","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.508836Z"},"links":{"cited_paper":"/paper/2209.14274","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:6c4398b8ef7153e827d2a84f2dee5446d52f936f334f192d0e7fdb9358feb859","observation_id":"048087d2-cb0e-4d27-a382-706f3e43954d","resolution":{"observed_at":"2026-08-06T11:28:14.508836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.12677","last_updated":"2022-07-18T05:11:16Z","snapshot_observed_at":"2026-08-10T10:49:11.212324Z","submitted_at":"2022-06-25T15:57:03Z","title":"Marginal $T\\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.12677","snapshot_observed_at":"2026-08-06T11:28:14.513478Z","title":"Babaei-Aghbolagh, K","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.513478Z"},"links":{"cited_paper":"/paper/2206.12677","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:7b4ad1de3689cc42f8aa09f3b8ced2fef51ba069a4f5da3a263e2f549be4b411","observation_id":"85836a94-3fcd-411d-80ab-9a4929f213a2","resolution":{"observed_at":"2026-08-06T11:28:14.513478Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.10515","last_updated":"2022-11-13T10:42:12Z","snapshot_observed_at":"2026-08-07T02:48:12.222651Z","submitted_at":"2022-06-21T16:38:26Z","title":"Root-$T \\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.10515","snapshot_observed_at":"2026-08-06T11:28:14.517972Z","title":"Ferko, A","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.517972Z"},"links":{"cited_paper":"/paper/2206.10515","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:67ccf33c75e3c5af1a2b47ce1b085907416be88caf33b48f0946eaec1c1405ea","observation_id":"ca2444c4-e859-4b1d-a56c-794b69b3fc2d","resolution":{"observed_at":"2026-08-06T11:28:14.517972Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2206.03415","last_updated":"2022-07-11T17:29:20Z","snapshot_observed_at":"2026-08-07T16:35:44.302791Z","submitted_at":"2022-06-07T16:04:50Z","title":"Metric approach to a $\\mathrm{T}\\bar{\\mathrm{T}}-$like deformation in arbitrary dimensions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2206.03415","snapshot_observed_at":"2026-08-06T11:28:14.522489Z","title":"Conti, J","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.522489Z"},"links":{"cited_paper":"/paper/2206.03415","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:508393fafa1450ce5cdc2b3bbb328f76b5bdd30c4078549f6d32efd1a57bf358","observation_id":"a0d44034-8fbc-4c8a-8de3-fcd249290fb4","resolution":{"observed_at":"2026-08-06T11:28:14.522489Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.09997","last_updated":"2025-05-12T13:36:26Z","snapshot_observed_at":"2026-08-07T17:08:17.756795Z","submitted_at":"2025-03-13T03:11:07Z","title":"$T\\overline{T}$ Deformation: Introduction and Some Recent Advances","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.09997","snapshot_observed_at":"2026-08-06T11:28:14.526979Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.526979Z"},"links":{"cited_paper":"/paper/2503.09997","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:740ed8658bf377751563e76b60f4f12e7f0ddb04e53a075b03c7ae4a27987257","observation_id":"80269b74-6497-4104-b3b4-3d0b9dc50618","resolution":{"observed_at":"2026-08-06T11:28:14.526979Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0202203","last_updated":"2002-05-12T09:25:37Z","snapshot_observed_at":"2026-07-07T04:42:45.412439Z","submitted_at":"2002-02-28T12:20:52Z","title":"New representation for Lagrangians of self-dual nonlinear electrodynamics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0202203","snapshot_observed_at":"2026-08-06T11:28:14.531287Z","title":null,"venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.531287Z"},"links":{"cited_paper":"/paper/hep-th/0202203","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:c24cf973a9f662b33aba761eebb1207ed3ba6d8dd4b2f690cf489371b216f316","observation_id":"ba7c922f-b913-4131-be38-ea6ca3a648d9","resolution":{"observed_at":"2026-08-06T11:28:14.531287Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0303192","last_updated":"2003-03-21T16:42:57Z","snapshot_observed_at":"2026-07-07T04:46:36.493963Z","submitted_at":"2003-03-21T16:42:57Z","title":"New approach to nonlinear electrodynamics: dualities as symmetries of interaction","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0303192","snapshot_observed_at":"2026-08-06T11:28:14.535461Z","title":null,"venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.535461Z"},"links":{"cited_paper":"/paper/hep-th/0303192","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:f81f3f02336fa4257267b1673e2ebd019fcd8cf0fcf266887322850054cd276b","observation_id":"eae727cc-b4de-4c9a-8b3a-2b0590696eea","resolution":{"observed_at":"2026-08-06T11:28:14.535461Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2405.05899","last_updated":"2025-01-21T02:23:29Z","snapshot_observed_at":"2026-07-06T18:12:09.623654Z","submitted_at":"2024-05-09T16:51:40Z","title":"Infinite Family of Integrable Sigma Models Using Auxiliary Fields","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2405.05899","snapshot_observed_at":"2026-08-06T11:28:14.539860Z","title":"Ferko and L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.539860Z"},"links":{"cited_paper":"/paper/2405.05899","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:c0b44977873361f838de5fc6626f126472ea22cc43cafe2cb79be6a26bf3c207","observation_id":"07141880-d9d2-4dda-a31f-626caed34c5b","resolution":{"observed_at":"2026-08-06T11:28:14.539860Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2407.11636","last_updated":"2024-08-13T17:25:18Z","snapshot_observed_at":"2026-07-06T18:47:08.782799Z","submitted_at":"2024-07-16T11:58:34Z","title":"T-Duality and $T \\overline{T}$-like Deformations of Sigma Models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2407.11636","snapshot_observed_at":"2026-08-06T11:28:14.544652Z","title":"Bielli, C","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.544652Z"},"links":{"cited_paper":"/paper/2407.11636","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:c38077670589dbf9c94420f9f10ec1591d4230fb850cb7d7dad8bc2951759080","observation_id":"fe901da3-8426-4b1b-8e35-39b2c3ade7bc","resolution":{"observed_at":"2026-08-06T11:28:14.544652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2012.09286","last_updated":"2021-03-01T13:09:55Z","snapshot_observed_at":"2026-08-07T23:36:13.873533Z","submitted_at":"2020-12-16T21:59:41Z","title":"On p-form gauge theories and their conformal limits","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.09286","snapshot_observed_at":"2026-08-06T11:28:14.548983Z","title":"Bandos, K","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T11:28:14.548983Z"},"links":{"cited_paper":"/paper/2012.09286","citing_paper":"/paper/2507.22808"},"observation_digest":"sha256:0b8b64c7b450d000a61bc79cdad40edf119acb1ae7ad50b8d1dcd72b00cb0404","observation_id":"dc704dc4-a148-46b0-b990-9858827606a0","resolution":{"observed_at":"2026-08-06T11:28:14.548983Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.22808","last_updated":"2025-07-30T16:24:41Z","latest_version":1,"primary_category":"hep-th","snapshot_observed_at":"2026-08-09T02:49:06.954187Z","submitted_at":"2025-07-30T16:24:41Z","title":"Root-$T\\bar{T}$ Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models"},"reference_resolution":{"displayed":43,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":33,"verified_exact":4,"verified_fuzzy":6},"total_outbound_references":43},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 4 inbound Pith citation observations for arXiv:2507.22808."}