{"as_of":"2026-08-15T04:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f2b9f5dba24e4bba6df3524453c9452e7a65dd6252e07348f8384e7f2e25eaea","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:42:49.664221Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.14247/citation-record","integrity":"/paper/2505.14247/integrity","json":"/paper/2505.14247/citation-record.json","paper":"/paper/2505.14247"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:42:56.737476Z","title":"Decision Problems for Groups and Semigroups","venue":null,"work_id":"41c436bc-3af6-48cc-aa0a-eb2c9aae696e","year":2000},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:45.992658Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:2fb73451c5e995104cb74fd0784261149908270372ca73f0117b8892b3c1ed45","observation_id":"cc5d7348-b0ab-4c22-9a31-02a022a70523","resolution":{"observed_at":"2026-08-07T15:42:56.802708Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:56.044864Z","title":"North-Holland, 2003, pp","venue":null,"work_id":"d95c0c9b-e9e4-40d0-bdc0-e7962edaaa64","year":2003},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.665897Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:40319cb26aeb1455c3e2a3da07f17c7ddd211386064803b778f221b04c20bcf7","observation_id":"657e0189-3d48-4c39-b5ca-7f556092787a","resolution":{"observed_at":"2026-08-07T15:42:56.116986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:55.734792Z","title":"Orbit Decidability and the Conju- gacy Problem for Some Extensions of Groups","venue":null,"work_id":"89031092-4eaf-4535-a2f8-e2caaed69da2","year":2010},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.915243Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:cc8e3b6ab17861edc562b3064d2b73e185287e70c273593df02df60909defaeb","observation_id":"f1fd5268-9252-4340-9c01-9309c040d3b1","resolution":{"observed_at":"2026-08-07T15:42:55.803343Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:53.782041Z","title":"Characterizing Entropy Dimensions of Minimal Mutidimensional SubshiftsofFiniteType","venue":null,"work_id":"017b278b-f03a-40e1-a3b8-d89e3f8ce16b","year":2022},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.795499Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:1c529eca5fc9acdcb2a201ba00dbb2c0de6d2daf77edcc3fa49f9f3dd418d6f4","observation_id":"7f96dad3-8602-4583-8fc5-83d885224031","resolution":{"observed_at":"2026-08-07T15:42:53.988288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:53.390978Z","title":"Quantified Block Gluing for Multidimensional Subshifts of Finite Type: Aperiodicity and Entropy","venue":null,"work_id":"7acc7e8d-76b7-4bc9-afc3-1d6536894e37","year":1964},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.976051Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:64a79497b124bbd1686e99765983ca193dcb0eef86785ede96dd33ff7d813a39","observation_id":"c8de675b-1f7e-4639-9fe3-532aa96b1164","resolution":{"observed_at":"2026-08-07T15:42:53.504542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:50.244778Z","title":"Amenability, Bilipschitz Equivalence, and the von Neumann Con- jecture","venue":null,"work_id":"8c5df160-1aa9-4500-8dac-a75f64f2bfc8","year":1999},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.462632Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:d44f76dfeac13d4c473b4e6e4c7fc6e1efad0726065e59853543e22eeb50146b","observation_id":"7c9899db-cf5d-441c-97db-d9508180e3b6","resolution":{"observed_at":"2026-08-07T15:42:50.314571Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:50.074440Z","title":"Effective Dy- namical Systems beyond Dimension Zero and Factors of SFTs","venue":null,"work_id":"bbbb6d56-dd0b-42d1-8c6f-09d89fc73f49","year":2024},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.560350Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:e96bc7c5f982d8b27d5eb28fef3dde06e0876836ff2e525156f5cf7fa5e9bc9f","observation_id":"90312ea9-dc22-457e-9cdd-f187a19d6064","resolution":{"observed_at":"2026-08-07T15:42:50.184748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:49.820397Z","title":"On a Rice theorem for dynamical properties of SFTs on groups","venue":null,"work_id":"5f74a276-336f-4c65-9335-c7c7a3b45aad","year":2025},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.664221Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:24b8d32aeb661ececb8584dcba89f4c1db1d486209610e97f9edafbb53de3c4d","observation_id":"ff6b7ee5-30ef-44ba-b17f-054182f222d3","resolution":{"observed_at":"2026-08-07T15:42:49.903372Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1304.5418","last_updated":"2013-07-04T20:13:53Z","snapshot_observed_at":"2026-08-15T00:20:39.369866Z","submitted_at":"2013-04-19T13:42:57Z","title":"Universality in symbolic dynamics constrained by Medvedev degrees","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1304.5418","snapshot_observed_at":"2026-08-07T15:42:46.376859Z","title":"Simulation of Effective Subshifts by Two- Dimensional Subshifts of Finite Type","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.376859Z"},"links":{"cited_paper":"/paper/1304.5418","citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:c63609e60b3cae3aeb0d13c69e3156398f565dec09ef7cbd0e412bd4803ec331","observation_id":"f6fc9454-a2e9-459b-b2a9-e2a168e0f6b1","resolution":{"observed_at":"2026-08-07T15:42:46.376859Z","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":"2026-08-07T15:42:51.862893Z","title":null,"venue":null,"work_id":"4ab10c9f-e9ac-4b67-9f91-d2b2ee9aabe7","year":2004},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.745538Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:a15557fdb91803cef544e95b4ac714d2ad3c0eec0c3289b661f836693462bc33","observation_id":"07a83438-c056-46da-adbf-922be8a014e9","resolution":{"observed_at":"2026-08-07T15:42:51.999240Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:56.471290Z","title":"Strong Computable Type","venue":null,"work_id":"5d24887f-d1d4-4982-bc91-c321628b7aab","year":2019},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.221251Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:c2f0e6837f66be5893a585a7328062268f12738d5917751feb8fa1308438ce00","observation_id":"73236e10-8d83-4c8f-afbf-38a0877b7d0f","resolution":{"observed_at":"2026-08-07T15:42:56.539437Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:52.969914Z","title":"Enumeration Reducibility in Closure Spaces with Applications to Logic and Algebra","venue":null,"work_id":"c7e79f25-c2bb-4430-8e62-fc3990f2a033","year":2017},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":131,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.217968Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:ca1be9cab00c1b2d6f2f16b9fd6267d961bc4542d6a7abaabe79c1fdd2ec21fb","observation_id":"dde8e96a-4898-409b-b69f-b135dd853deb","resolution":{"observed_at":"2026-08-07T15:42:53.096933Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:56.331820Z","title":"ANotionofEffectiveness for Subshifts on Finitely Generated Groups","venue":null,"work_id":"43d5ff2c-7771-41b6-8f9e-36ed274e8a78","year":2017},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":138,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.276767Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:3945a446bfb59ebd90fc271af26d4bb2a913ac4e521b7851917daf3d31a032b4","observation_id":"a3505be5-5630-4a03-a04d-0c88bef2e047","resolution":{"observed_at":"2026-08-07T15:42:56.396058Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:54.905778Z","title":"Computable Symbolic Dynamics","venue":null,"work_id":"0cc079e3-6223-4a02-917b-0f8cb0e0a374","year":2008},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":140,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.195076Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:77a1a4cf80e72e6d7590aaca1c06eff0f58e573070d362d92bdd2764b8019a32","observation_id":"4d25ba47-b819-4720-9b38-157b614e9794","resolution":{"observed_at":"2026-08-07T15:42:55.018459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:56.616055Z","title":"Algorithmic undecidability of problems of recognition of certain prop- erties of groups","venue":null,"work_id":"c2b42a5d-53fa-4f51-9996-6bd3ffe42bd5","year":1955},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":207,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.108958Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:8fcddd272884a20806dc6a7bcd4f10d2e52928a25b875614eee332752bb554d4","observation_id":"3f518e59-f75d-46ff-a34e-7abd954c8e0d","resolution":{"observed_at":"2026-08-07T15:42:56.679693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:55.089079Z","title":"Periodic Points on Shifts of Finite Type and Commensurability Invariants of Groups","venue":null,"work_id":"71c8646b-c989-4e7c-8adf-4ac9ee338f1a","year":2015},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":219,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.147024Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:c7627f92beaf359caa470921db42dbc04f596af5341a7f676aa2af2dbe55f551","observation_id":"9c9010e2-cf59-472a-80ce-218391dec0a3","resolution":{"observed_at":"2026-08-07T15:42:55.177147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:50.623838Z","title":"Recursive Unsolvability of Group Theoretic Problems","venue":null,"work_id":"648f8469-d7c7-4a4b-b7ad-65de1fafd49a","year":1958},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":360,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.304520Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:7a1a9977752ef555790f01a9eff67d95f89323b17971400a845826074e5e9272","observation_id":"110f076d-2471-475e-aa73-d4b69fa934ac","resolution":{"observed_at":"2026-08-07T15:42:50.688115Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:51.184267Z","title":"Two Notes on Subshifts","venue":null,"work_id":"166d2f9e-808e-4b2f-990d-6f594c3ecf44","year":2012},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":589,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.055120Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:1cc4038863827e484b3bec07f381d785268763c3a9a28f06c44a8d9f0b96c6ad","observation_id":"ecaa58ce-7187-4030-b358-b6144597780b","resolution":{"observed_at":"2026-08-07T15:42:51.248878Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:50.746630Z","title":"Computable Algebra, General Theory and Theory of Computable Fields","venue":null,"work_id":"29a68266-2fff-4552-97e4-17b0c5677859","year":1960},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":725,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.224813Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:735afa9e588d93fdaf5cb9bc2cdd3234942689d37832edb439ceebf88eed4f16","observation_id":"294165aa-5d52-449a-9529-469b1f7310c4","resolution":{"observed_at":"2026-08-07T15:42:50.871457Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:51.002568Z","title":"Nonrecursive Tilings of the Plane. II","venue":null,"work_id":"7ae47ccc-4350-4f81-ad4e-4501234db859","year":1980},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":815,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.140372Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:5dd970bb59614ce9da5beade5458900367d84519952eac3f92c7f9f78e2f807b","observation_id":"349dbe73-7991-462d-8fa8-220b36073070","resolution":{"observed_at":"2026-08-07T15:42:51.078443Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:53.607454Z","title":"Effect of Quantified Irre- ducibility on the Computability of Subshift Entropy","venue":null,"work_id":"93f34653-6848-438f-aa19-2d8832a88dc7","year":2019},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":931,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.906541Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:956b69f4b0ea0eef5842273fd3b0d6ca0abf6825bb5a94a7ab3cc2498e839b51","observation_id":"053f6a20-d9f0-4c78-9216-fed5f7c3e88e","resolution":{"observed_at":"2026-08-07T15:42:53.667616Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:55.868420Z","title":"Chapter 2 - Braids: A Survey","venue":null,"work_id":"ff8e9fa2-d70f-4337-a725-0fdb9f615cd3","year":2005},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":1966,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.818466Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:587ca5add0f122530f80f61ef255581715928aad06cbaee105023b7a5c0e485a","observation_id":"8a919484-06aa-46a8-8002-81168bb8a78a","resolution":{"observed_at":"2026-08-07T15:42:55.965500Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:50.434557Z","title":"On an Ordering of the Set of Vertices of a Connected Graph","venue":null,"work_id":"26fc0601-8a8a-413e-9d73-dcfe0bc8bbee","year":1960},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":1983,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:49.391644Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:a2fed65b9504feb26a5807af8c1700a68695fda9acba307f3b00292b71f78b45","observation_id":"be084377-df5d-45be-8ab7-2136815c1fd6","resolution":{"observed_at":"2026-08-07T15:42:50.476449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:54.721751Z","title":"A Counterexample to the Easy Direction of the Geometric Gersten Conjecture","venue":null,"work_id":"e454745c-24d8-4d28-bcf9-c3b88fb5cedb","year":2019},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":1989,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.271495Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:fc9b487eea4b2317260b91e7a343506a5ad1bf3a44f420b3ba9af5224e6a1f03","observation_id":"6dd67057-b183-4f6d-afe6-1f2b65ea6a46","resolution":{"observed_at":"2026-08-07T15:42:54.802980Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:54.478299Z","title":"Rice’s Theorem for µ-limit sets of cellular automata","venue":null,"work_id":"1e849c1b-2121-4f7e-8dd9-205eb632eb73","year":2011},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":1993,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.355027Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:74b34609f80d8bc906dabeb8f0958f04773449e5331527e31c3beafee5abbb02","observation_id":"a0bfb9b6-6452-4a92-b4c6-715d8ceef0b2","resolution":{"observed_at":"2026-08-07T15:42:54.618815Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:51.610166Z","title":"Homoclinic Points of Algebraic Z d-actions","venue":null,"work_id":"d788f44f-3539-49f0-8226-7ec17c4bc655","year":1999},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":1995,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.827233Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:2242d68715f8ed0c7641c14170f209d6510d51f69b8f044bae95a3d1ab09695e","observation_id":"b3da8168-22a9-44e7-bf15-c2ccc572a9d4","resolution":{"observed_at":"2026-08-07T15:42:51.759573Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:55.395185Z","title":"The Conjugacy Problem in Extensions of Thompson’s Group F","venue":null,"work_id":"6716125a-4b7e-4128-bb56-f17cf78c4c5c","year":2016},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":1999,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.093331Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:9f4df81734e5f80146ad8896b8da9bf1ac4391cc0ca689c387bd8b26171e18f4","observation_id":"a3725443-72c5-41cf-94e5-1354d113853e","resolution":{"observed_at":"2026-08-07T15:42:55.484774Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:51.397090Z","title":"Effective Matchmaking (Recursion Theoretic Aspects of a Theorem of Philip Hall)","venue":null,"work_id":"9752f031-6c94-4443-bc70-190395bca0e7","year":1972},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2001,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.956103Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:f645ecea766026bed9dc3e9823072ea35e7a3aafa0a95509551cdd7ade0a3c8d","observation_id":"f16172b9-04df-4029-a987-3db5f8360452","resolution":{"observed_at":"2026-08-07T15:42:51.478240Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:52.146355Z","title":"Topological Aspects of the Medvedev Lattice","venue":null,"work_id":"85a05010-2855-4291-8279-d5da46d74eae","year":1984},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2008,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.676470Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:b2d67739ac1916dd17d5936bf482ac0fd06754020b80795140421b86bc2d29e1","observation_id":"cb688eb4-8d74-46fb-a8d4-af2da6f7a07b","resolution":{"observed_at":"2026-08-07T15:42:52.269905Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:53.201063Z","title":"Les surfaces à courbures opposées et leurs lignes géodésiques","venue":null,"work_id":"33a9a6ea-2c93-4a7d-b8ed-baaeb505b6cb","year":1974},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2010,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.098096Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:be98a92d3f458dc8d2445c4d0e77d517f3d17666c20b4610f06f73e551c745e3","observation_id":"d176abea-7cf0-4a2e-bba1-43020881845f","resolution":{"observed_at":"2026-08-07T15:42:53.279659Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:54.279835Z","title":"Quasi-Periodic Configurations and Undecidable Dynamics for Tilings, Infinite Words and Turing Machines","venue":null,"work_id":"6a9ae65d-6e14-427e-834a-997d02e8b27a","year":2003},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.475725Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:8f620b7ddc963975b1e597c3c3a0270832de6b7b79b3fd430fcf3d31d039c0c3","observation_id":"c09d20ed-ccff-4902-a048-2ddcda60ec6a","resolution":{"observed_at":"2026-08-07T15:42:54.379565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1508.06419","last_updated":"2015-08-26T09:25:16Z","snapshot_observed_at":"2026-08-14T22:35:11.317122Z","submitted_at":"2015-08-26T09:25:16Z","title":"Translation-like Actions and Aperiodic Subshifts on Groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1508.06419","snapshot_observed_at":"2026-08-07T15:42:48.321591Z","title":"Translation-like Actions and Aperiodic Subshifts on Groups","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.321591Z"},"links":{"cited_paper":"/paper/1508.06419","citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:f1f0c720f83ea1e4bef0c11266c907ad43db1670c04196764998735dde788d8a","observation_id":"81cbcec4-fad9-4966-870e-92d886460c30","resolution":{"observed_at":"2026-08-07T15:42:48.321591Z","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":"2026-08-07T15:42:52.431667Z","title":"Euler Paths and Ends in Automatic and Re- cursive Graphs","venue":null,"work_id":"a5891fa4-e14a-46ee-b513-d1323185a2e5","year":2008},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.604607Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:5e87c9d8b8ea5bebfcbccc32b55ac8d03bdff1edbdcfe5213bad498408912d0a","observation_id":"2a002a76-6e2f-4b19-b9ce-73c24cd4025a","resolution":{"observed_at":"2026-08-07T15:42:52.520974Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:56.178454Z","title":"A Generalization of the Simulation The- orem for Semidirect Products","venue":null,"work_id":"555115c6-ba49-4695-8ba2-e468461e3947","year":2019},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.464366Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:d79b686b6cc64c4b47dec0e267e8dd620045f33791e138ec85774a2c19f754db","observation_id":"5d380259-efff-4925-9225-da19bba9f24f","resolution":{"observed_at":"2026-08-07T15:42:56.264303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:54.081787Z","title":"Cutting up Graphs","venue":null,"work_id":"ac17bf8f-529a-4219-b038-b90000fac81b","year":1982},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.672965Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:61bf98946b684c91c05d6503fa6bc362c10b5e02e1691e26e4a944f8f349a9f2","observation_id":"589fd6a9-0202-4273-935d-a46e6d3b877f","resolution":{"observed_at":"2026-08-07T15:42:54.172156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:52.666592Z","title":"OntheCubeofaGraph","venue":null,"work_id":"d7d36246-1ab1-4249-88d2-bdd7c0c92495","year":1968},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:48.425366Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:209cbe5124b49fc4ee8c168e396f49780eed3a52ce4f44c49e07e8ade8ea6ab1","observation_id":"58682767-28ab-4ff0-8dbe-5f3fcd74a0d7","resolution":{"observed_at":"2026-08-07T15:42:52.767290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-07T15:42:55.584745Z","title":"A Tutorial on Computable Analysis","venue":null,"work_id":"a0e01486-dad8-46c8-a23f-b018cf29e352","year":2008},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:47.014791Z"},"links":{"citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:0055aa715a283a037725bf59dea604f52f98620255ea522c3069847ddf23874a","observation_id":"b4dd6b60-8e53-4689-a7a1-5cdb70381dfb","resolution":{"observed_at":"2026-08-07T15:42:55.673102Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2305.06952","last_updated":"2023-05-11T16:26:31Z","snapshot_observed_at":"2026-08-13T11:44:19.001535Z","submitted_at":"2023-05-11T16:26:31Z","title":"The domino problem for hyperbolic groups","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.06952","snapshot_observed_at":"2026-08-07T15:42:46.545763Z","title":"The Domino Problem for Hyperbolic Groups","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.545763Z"},"links":{"cited_paper":"/paper/2305.06952","citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:8c81db7d1434631b50ac8b7f69ad84ea31c861c65512e2462b937537f322b642","observation_id":"4f826b6e-1860-4292-a25a-82b9052573a5","resolution":{"observed_at":"2026-08-07T15:42:46.545763Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2402.14508","last_updated":"2024-02-22T12:55:57Z","snapshot_observed_at":"2026-08-13T04:12:56.698093Z","submitted_at":"2024-02-22T12:55:57Z","title":"Shifts on the lamplighter group","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2402.14508","snapshot_observed_at":"2026-08-07T15:42:46.728165Z","title":"Shiftsonthelamplightergroup","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T15:42:46.728165Z"},"links":{"cited_paper":"/paper/2402.14508","citing_paper":"/paper/2505.14247"},"observation_digest":"sha256:62d6f2231e131d480ca3ac6588ca8fdd5624062ab55d255f4c635a069d8812fb","observation_id":"f54c001e-289a-434e-90ec-8350b2a6254a","resolution":{"observed_at":"2026-08-07T15:42:46.728165Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2505.14247","last_updated":"2025-05-20T12:01:15Z","latest_version":1,"primary_category":"math.DS","snapshot_observed_at":"2026-08-10T22:17:57.141966Z","submitted_at":"2025-05-20T12:01:15Z","title":"Subshifts on groups and computable analysis"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":0,"verified_fuzzy":33},"total_outbound_references":39},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2505.14247."}