{"as_of":"2026-08-08T08:47:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:3f60cc00b0fbb13448d63ec452bd18d553a7e5163aeea366e2ee5d3e2b3bfb38","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":9,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":9,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":9,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T10:21:55.451014Z","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":"2026-06-30T23:15:08.406504Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":"1811.02551","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-06-30T23:15:08.406504Z","title":"Belletˆ ete, A.M","venue":null,"work_id":"7b7f0355-e425-4c9f-93c0-9b7960523514","year":2023},"citing_paper":{"arxiv_id":"2302.12782","last_updated":"2026-04-28T16:16:00Z","snapshot_observed_at":"2026-07-06T14:55:34.311264Z","submitted_at":"2023-02-24T17:52:48Z","title":"Uncoiled affine Temperley-Lieb algebras and their Wenzl-Jones projectors","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T10:20:49.633450Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2302.12782"},"observation_digest":"sha256:014f0d1bb126a0661a81223ec2622a45d7fde1a85d67e0cbd529728b14098dfc","observation_id":"0481d1de-91bc-4976-8877-0da8c5f2df27","resolution":{"observed_at":"2026-05-24T10:24:20.638581Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":"1811.02551","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-06-30T23:15:08.406504Z","title":"Belletˆ ete, A.M","venue":null,"work_id":"7b7f0355-e425-4c9f-93c0-9b7960523514","year":2023},"citing_paper":{"arxiv_id":"2506.23155","last_updated":"2026-03-21T02:04:11Z","snapshot_observed_at":"2026-07-31T18:11:20.507771Z","submitted_at":"2025-06-29T09:28:37Z","title":"Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders","version":4},"reference_index":141,"source":"pdf_text","source_observed_at":"2026-05-19T08:04:49.812169Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2506.23155"},"observation_digest":"sha256:2dea06cdaae3980b1055246d13c7f8c35b189f2e8b20229de7875ef4a3893f45","observation_id":"a51a1996-6684-4595-815c-ccd12d07906b","resolution":{"observed_at":"2026-05-19T08:07:11.735708Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-08-05T10:21:55.451014Z","title":"Belletˆ ete, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2509.04257","last_updated":"2025-09-04T14:35:54Z","snapshot_observed_at":"2026-08-06T19:17:25.607582Z","submitted_at":"2025-09-04T14:35:54Z","title":"Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-05T10:21:55.451014Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2509.04257"},"observation_digest":"sha256:18f52fd23058203f97d7e1e5e3a74e4ee791db208dc1ad5c4166f869e9b9111c","observation_id":"00baa864-bedf-4145-9973-9b5a52c8b69c","resolution":{"observed_at":"2026-08-05T10:21:55.451014Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":"1811.02551","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-06-30T23:15:08.406504Z","title":"Belletˆ ete, A.M","venue":null,"work_id":"7b7f0355-e425-4c9f-93c0-9b7960523514","year":2023},"citing_paper":{"arxiv_id":"2511.11059","last_updated":"2026-04-08T02:12:49Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2025-11-14T08:17:29Z","title":"Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls","version":3},"reference_index":137,"source":"pdf_text","source_observed_at":"2026-05-17T22:50:14.741276Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2511.11059"},"observation_digest":"sha256:606f12035e8e1e8b9353a09ca2cd4043fac733ac7ddb72eb7c25022e3dea2891","observation_id":"584fbf9a-2edc-4190-baa2-341b4ebbd3b2","resolution":{"observed_at":"2026-05-17T22:50:25.519241Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":"1811.02551","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-06-30T23:15:08.406504Z","title":"Belletˆ ete, A.M","venue":null,"work_id":"7b7f0355-e425-4c9f-93c0-9b7960523514","year":2023},"citing_paper":{"arxiv_id":"2604.25999","last_updated":"2026-04-28T18:00:01Z","snapshot_observed_at":"2026-07-06T23:11:43.764239Z","submitted_at":"2026-04-28T18:00:01Z","title":"Lattice Topological Defects in Non-Unitary Conformal Field Theories","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-07T15:41:35.819373Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2604.25999"},"observation_digest":"sha256:f29ad39a64627f38ad916a1e92e9ed6c82f32af8f5abb08ee239fd957bf1b5e1","observation_id":"620e3f25-14f5-4b61-b3f5-9add3fd6a23e","resolution":{"observed_at":"2026-05-12T00:11:17.381351Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":"1811.02551","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-06-30T23:15:08.406504Z","title":"Belletˆ ete, A.M","venue":null,"work_id":"7b7f0355-e425-4c9f-93c0-9b7960523514","year":2023},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-11T03:23:34.161611Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:ae8df21be3f3423098d26636625459b688805431b965fbd054869f3b32598b65","observation_id":"df69e8d5-7b4d-48db-91c1-c2e50225a921","resolution":{"observed_at":"2026-05-11T03:25:56.061708Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":"1811.02551","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-06-30T23:15:08.406504Z","title":"Belletˆ ete, A.M","venue":null,"work_id":"7b7f0355-e425-4c9f-93c0-9b7960523514","year":2023},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-20T22:59:26.266718Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:78d056d4200234ed13effb2e3fef50b64ad6816498211c2476769b14fb3305d6","observation_id":"2b19dc54-5476-4d58-92db-6f20a246fe03","resolution":{"observed_at":"2026-05-20T23:03:51.467336Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":"1811.02551","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-06-30T23:15:08.406504Z","title":"Belletˆ ete, A.M","venue":null,"work_id":"7b7f0355-e425-4c9f-93c0-9b7960523514","year":2023},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":3},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-06-30T23:13:18.266390Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:eeeae86201d7a4aa2e219401ceff5cec4942022fb22257932708ff6afea5e79c","observation_id":"8ed70008-da32-4947-a6d4-b3898a887fa9","resolution":{"observed_at":"2026-06-30T23:15:08.407908Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.02551","snapshot_observed_at":"2026-08-04T05:19:22.963129Z","title":"Belletête, A","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2605.07734","last_updated":"2026-08-03T13:30:05Z","snapshot_observed_at":"2026-08-06T23:31:04.621272Z","submitted_at":"2026-05-08T13:41:03Z","title":"Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries","version":4},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-04T05:19:22.963129Z"},"links":{"cited_paper":"/paper/1811.02551","citing_paper":"/paper/2605.07734"},"observation_digest":"sha256:64260588abac57edbfefee71b648e34d2b29387bfca30126667efa7dab03ce46","observation_id":"4a18e8a2-9203-474a-bc69-852d87617eef","resolution":{"observed_at":"2026-08-04T05:19:22.963129Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/1811.02551/citation-record","integrity":"/paper/1811.02551/integrity","json":"/paper/1811.02551/citation-record.json","paper":"/paper/1811.02551"},"outbound":[],"paper":{"arxiv_id":"1811.02551","last_updated":"2023-08-15T20:01:46Z","latest_version":3,"primary_category":"hep-th","snapshot_observed_at":"2026-07-06T07:13:05.887491Z","submitted_at":"2018-11-06T18:52:42Z","title":"Topological defects in lattice models and affine Temperley-Lieb algebra"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:1811.02551."}