{"as_of":"2026-08-23T12:15:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:26b575bbd83bf0ce459e18941fa7cd0b81d026e57248277e5424c90010a6da36","coverage":[{"denominator":58,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":58,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T19:34:28.297407Z","state":"measured"},{"denominator":61,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":61,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-23T06:30:58.430688+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T06:37:24.371790Z","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":"2026-07-01T16:05:49.424690Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.01086","snapshot_observed_at":"2026-08-03T09:20:44.611898Z","title":"A guide to topological reconstruction on endomorphism monoids and polymor- phism clones.arXiv preprint arXiv:2512.01086,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.15185","last_updated":"2026-08-01T21:09:36Z","snapshot_observed_at":"2026-08-07T20:59:48.226838Z","submitted_at":"2026-01-21T17:05:22Z","title":"The Zariski Topology on Homeomorphism groups","version":3},"reference_index":1961,"source":"pdf_text","source_observed_at":"2026-08-03T09:20:44.611898Z"},"links":{"cited_paper":"/paper/2512.01086","citing_paper":"/paper/2601.15185"},"observation_digest":"sha256:606fff7790a324ddcde08a595cf5446c927a3f75ea8efd9690ec67bff4bcf313","observation_id":"fb139f90-2249-49b7-88bf-2dbae38d3808","resolution":{"observed_at":"2026-08-03T09:20:44.611898Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2512.01086","snapshot_observed_at":"2026-08-04T06:37:24.371790Z","title":"A guide to topological reconstruction on endomorphism monoids and polymor- phism clones.arXiv preprint arXiv:2512.01086,","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2601.15185","last_updated":"2026-08-01T21:09:36Z","snapshot_observed_at":"2026-08-07T20:59:48.226838Z","submitted_at":"2026-01-21T17:05:22Z","title":"The Zariski Topology on Homeomorphism groups","version":4},"reference_index":1961,"source":"pdf_text","source_observed_at":"2026-08-04T06:37:24.371790Z"},"links":{"cited_paper":"/paper/2512.01086","citing_paper":"/paper/2601.15185"},"observation_digest":"sha256:4eb7b28ee29fd08c29e242e0767b2a164da4fd9aa2cc95015f913435cf03b017","observation_id":"715a036f-31e1-4de9-9005-476164b913cf","resolution":{"observed_at":"2026-08-04T06:37:24.371790Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"cited_work":{"arxiv_id":"2512.01086","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2512.01086","snapshot_observed_at":"2026-07-13T02:18:52.784447Z","title":"Marimon, M","venue":null,"work_id":"29fe8502-28ae-49af-86e2-bd9ea82964b7","year":2025},"citing_paper":{"arxiv_id":"2605.26906","last_updated":"2026-05-26T12:04:20Z","snapshot_observed_at":"2026-08-13T06:43:28.192406Z","submitted_at":"2026-05-26T12:04:20Z","title":"Polish topologies on endomorphism monoids of linear orders","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-01T16:03:15.549561Z"},"links":{"cited_paper":"/paper/2512.01086","citing_paper":"/paper/2605.26906"},"observation_digest":"sha256:a7fde8fe7537d440b4575a0d54c15cdfb33401333dd83b79a68c9a6176f5b440","observation_id":"1376ba0f-1af9-4faf-9062-edee83f4e2a8","resolution":{"observed_at":"2026-07-13T02:18:52.784447Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2512.01086/citation-record","integrity":"/paper/2512.01086/integrity","json":"/paper/2512.01086/citation-record.json","paper":"/paper/2512.01086"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T19:34:27.045031Z","title":"Quasi-finitely axiomatizable totally categori- cal theories","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.045031Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:535d37d13ecc9cb427d501e93dacec5d144dfefb8bda6c73122598f0709148c9","observation_id":"148a7646-c99c-4c69-8376-cfedf8e44d98","resolution":{"observed_at":"2026-08-03T19:34:27.045031Z","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":"2026-08-03T19:34:27.088413Z","title":"Reconstruction of Homogeneous Relational Structures","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.088413Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:cb41ccde5a5d5bc7a42d2027e8495b8178367cac51839132bbeda16a3a9ee535","observation_id":"dfe03ecb-0279-4c23-9d49-0370b7e32dd3","resolution":{"observed_at":"2026-08-03T19:34:27.088413Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.11500","last_updated":"2025-06-23T15:47:04Z","snapshot_observed_at":"2026-08-18T06:53:42.481907Z","submitted_at":"2025-06-13T06:50:27Z","title":"A note on intrinsic topologies of groups","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.11500","snapshot_observed_at":"2026-08-03T19:34:27.176807Z","title":"A note on intrinsic topologies of groups","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.176807Z"},"links":{"cited_paper":"/paper/2506.11500","citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:b80cc823e27b19770232c774b4e967c7665d3e51ac45214454de9b17751e46cb","observation_id":"0c68c625-9e7f-430f-944f-93c67a8e1894","resolution":{"observed_at":"2026-08-03T19:34:27.176807Z","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":"2026-08-03T19:34:27.290472Z","title":"Equations in oligomorphic clones and the constraint satisfaction problem forω-categorical structures","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.290472Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:80409aeb9688011b1575a86d2fafe5ed388d571d6503c44f71395d2893c4c178","observation_id":"bdf0ebbd-232b-4726-aa21-e6ce18a7a215","resolution":{"observed_at":"2026-08-03T19:34:27.290472Z","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":"2026-08-03T19:34:27.339424Z","title":"Topology is irrelevant","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.339424Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:cbe94bc54b430538c96d723653f8bca31d3e58f5016a325eacf32fc17daa7646","observation_id":"ab146cc3-aec2-471b-af33-8f2aaf8b4b16","resolution":{"observed_at":"2026-08-03T19:34:27.339424Z","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":"2026-08-03T19:34:27.442241Z","title":"LMS Lecture Note Series 232","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.442241Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:7a7d911b88003db526b9f6259244eeee1ef10c6894c94fce321bb1c715659e0f","observation_id":"c713764c-2b4a-447e-9be1-71c6953726ce","resolution":{"observed_at":"2026-08-03T19:34:27.442241Z","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":"2026-08-03T19:34:27.572059Z","title":"Reconstructing the topology on monoids and polymorphism clones of the rationals","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.572059Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:9699c70f0cf6fe34ab9aae9cd63dd510ab0fb33bfc7da2107c9d281b81b2d42d","observation_id":"120ca193-a364-4428-b22c-42c9a9174e41","resolution":{"observed_at":"2026-08-03T19:34:27.572059Z","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":"2026-08-03T19:34:27.620107Z","title":"On a stronger reconstruction notion for monoids and clones","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.620107Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:50790658c99ff9b24e4925b38682799975a9e270b5a36b24103c77afaed879f2","observation_id":"a9f66627-4c33-4b13-ac0b-6a8eaca4bfe8","resolution":{"observed_at":"2026-08-03T19:34:27.620107Z","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":"2026-08-03T19:34:27.696693Z","title":"Lecture Notes in Logic (52)","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.696693Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:b812a64cadf445d85898eaa8412b5c340baafe2508d3d6953abb01b3a5cced1e","observation_id":"b2e8e3ce-d630-4494-8312-a585f191954e","resolution":{"observed_at":"2026-08-03T19:34:27.696693Z","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":"2026-08-03T19:34:27.791094Z","title":"Cores of countably categorical structures","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.791094Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:bc561e258194c7c29dd1a427d1a3395293e20435b670e7261b52c0ce12d815af","observation_id":"00284cf7-4db7-4765-8049-6facb5ed69cd","resolution":{"observed_at":"2026-08-03T19:34:27.791094Z","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":"2026-08-03T19:34:27.876950Z","title":"Ramsey Classes: Examples and Constructions","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.876950Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:617e90308eef866b1983cb9bf262f37777fa2ba131765db6222360c4f39e8c74","observation_id":"03e2218e-176d-4c27-ba27-26bed9166cfc","resolution":{"observed_at":"2026-08-03T19:34:27.876950Z","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":"2026-08-03T19:34:27.938813Z","title":"The Reducts of Equality up to Primitive Positive Interdefinability","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.938813Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:5624e8e79134716f9a91b492444f6a8c471317c61172c57e3710a4e2bc3e1d15","observation_id":"b04e73c6-dda5-4ccd-963b-0339bac8a423","resolution":{"observed_at":"2026-08-03T19:34:27.938813Z","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":"2026-08-03T19:34:27.950504Z","title":"A coun- terexample to the reconstruction ofω-categorical structures from their endomor- phism monoids","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.950504Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:e3f576a8780e8364dd73ddff8c038375e4787c434316ea31691e28a67789a15a","observation_id":"f1141379-53cd-48cf-a1fa-f4acf31fda54","resolution":{"observed_at":"2026-08-03T19:34:27.950504Z","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":"2026-08-03T19:34:27.957393Z","title":"ℵ 0-categorical structures: interpretations and endomorphisms","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.957393Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:1869d15025641771ae0bddc9854fe3821f9a3371f8efffe8bbf2b9706a9c36dc","observation_id":"a9e2775b-ddc6-4e5a-972b-d5d2158c7abe","resolution":{"observed_at":"2026-08-03T19:34:27.957393Z","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":"2026-08-03T19:34:27.963758Z","title":"Constraint Satisfaction with Countable Ho- mogeneous Templates","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.963758Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:cdaac8080c3ebdd1d20458588aad94b2ba2ccf001539d2bf9a54741af718749d","observation_id":"0fd16aef-cd3c-47aa-a959-d53fac87bb1c","resolution":{"observed_at":"2026-08-03T19:34:27.963758Z","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":"2026-08-03T19:34:27.970871Z","title":"Topological Birkhoff","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.970871Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:44cda32fc2876ceeb33945db13c0bc04e99f80aa0b9f5b9b7da21cd1d306615e","observation_id":"eb967b77-c395-4699-b090-339084169ee9","resolution":{"observed_at":"2026-08-03T19:34:27.970871Z","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":"2026-08-03T19:34:27.981874Z","title":"Projective clone homo- morphisms","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.981874Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:3976f4ba45a3dde5ca4b942fed5cfec1a82f70cddffb4865a184cfd43b13c0f0","observation_id":"3bff3606-44db-46ab-9797-e047d507e84b","resolution":{"observed_at":"2026-08-03T19:34:27.981874Z","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":"2026-08-03T19:34:27.991869Z","title":"Reconstructing the Topol- ogy of Clones","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:27.991869Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:719529c960949ade2f5eef5537fccd3406ba6363a1a2fe665bafd7831c1e934c","observation_id":"8d1454ea-cb2d-41a1-b320-7481edcb5ed5","resolution":{"observed_at":"2026-08-03T19:34:27.991869Z","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":"2026-08-03T19:34:28.001698Z","title":"Cameron.Oligomorphic permutation groups","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.001698Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:d898c211a93d71f5ff32c8e0d77e4a238eb1e79be88a3b6ce2f9de883a6fcdd7","observation_id":"4b0b8389-882c-47eb-99bd-a5b668637ee4","resolution":{"observed_at":"2026-08-03T19:34:28.001698Z","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":"2026-08-03T19:34:28.010078Z","title":"Transitivity of permutation groups on unordered sets","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.010078Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:320dfa0e88188f7e8d027e3eb239b21ea1f268b8864ed5d9af01b2918b7f01ce","observation_id":"36dc3dd6-11f5-4925-aaf2-d3600a53846f","resolution":{"observed_at":"2026-08-03T19:34:28.010078Z","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":"2026-08-03T19:34:28.019405Z","title":"Homomorphism-homogeneous relational structures","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.019405Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:45b62fcfd8bd9628b815a07dd0365177b151c8d3988aee8ea5199945f0bbee49","observation_id":"8c8918cc-4cdb-4899-b624-40a89b40e815","resolution":{"observed_at":"2026-08-03T19:34:28.019405Z","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":"2026-08-03T19:34:28.026262Z","title":"ℵ 0-categorical,ℵ 0-stable Structures","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.026262Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:68f8c4efed3911aabdbc35d9aff4b86bc43d082c45f087d17598537b00d0e59c","observation_id":"5ebc3828-f861-4140-b3d0-8928ef9c03e7","resolution":{"observed_at":"2026-08-03T19:34:28.026262Z","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":"2026-08-03T19:34:28.036898Z","title":"Subgroups of small index in infinite symmetric groups","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.036898Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:9c4f27672f8c2910e150c2df9db178f8653fbad2f6d5f01546a6f31a9b775760","observation_id":"e2f3fe4f-c743-4ee3-bc42-bef30e7821a2","resolution":{"observed_at":"2026-08-03T19:34:28.036898Z","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":"2026-08-03T19:34:28.042778Z","title":"Polish topologies on endomorphism monoids of relational structures","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.042778Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:ba287c70c1442a7f35a192fd1e20e9ad5f1dcd09583af11555163b0e18f09ec7","observation_id":"dba7cc2e-2c85-44fa-b619-a4b329809606","resolution":{"observed_at":"2026-08-03T19:34:28.042778Z","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":"2026-08-03T19:34:28.047955Z","title":"Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.047955Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:e65c13d9406e82822e1b05fbe357f1150a31f2f2e4a54447a61abc8e626a82f2","observation_id":"882c258c-e047-4dff-ad58-6b20b3a515e7","resolution":{"observed_at":"2026-08-03T19:34:28.047955Z","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":"2026-08-03T19:34:28.063114Z","title":"Counterexamples to a conjecture on relative categoricity","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.063114Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:fa92acc81d132a45046f284cf7f6cb74e1e6a1aa10419e6c1843ab8bba81b0b7","observation_id":"eb04bd24-f020-4ac9-b8c3-c8e18e766e08","resolution":{"observed_at":"2026-08-03T19:34:28.063114Z","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":"2026-08-03T19:34:28.067555Z","title":"Decidability of interpretability","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.067555Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:275821ecbec4b2a3eb64bc5c00a33a777600732ac40070879e2b6ddad1d17b58","observation_id":"63937472-c29b-405f-9dee-f845633b88b6","resolution":{"observed_at":"2026-08-03T19:34:28.067555Z","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":"2026-08-03T19:34:28.072525Z","title":"Group topologies on auto- morphism groups of homogeneous structures","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.072525Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:c371052200895af7cbf3618ccbaa9b570e48a94a8c0d91b708ded68d5c365a7b","observation_id":"fe7e0135-28eb-4151-89a9-e6693f630783","resolution":{"observed_at":"2026-08-03T19:34:28.072525Z","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":"2026-08-03T19:34:28.077454Z","title":"Cambridge: Cambridge University Press, 1993","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.077454Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:93a873229c01546583598667447650075e37f7b16b2784abcbbf8ef98cea2034","observation_id":"22a19afe-e7ad-4dd6-b55b-252bd61f6466","resolution":{"observed_at":"2026-08-03T19:34:28.077454Z","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":"2026-08-03T19:34:28.090558Z","title":"The Small In- dex Property forω-Stableω-Categorical Structures and for the Random Graph","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.090558Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:9d7e8208d6804b2d62c27c8bb2646456b114d9ea28df779cc1605c09e1afba3e","observation_id":"06c54512-684f-40e3-822d-f1bdeeab5db9","resolution":{"observed_at":"2026-08-03T19:34:28.090558Z","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":"2026-08-03T19:34:28.096619Z","title":"Unpublished notes","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.096619Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:8f29f9bb82d751fb059dbae003570b5e85345ea33a408f06a518d5e3fced5bce","observation_id":"9f3e5a4b-adaa-48c9-8170-7355e6cf19b7","resolution":{"observed_at":"2026-08-03T19:34:28.096619Z","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":"2026-08-03T19:34:28.105514Z","title":"Automorphism groups of finite topological rank","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.105514Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:5668d9631921ac821f7b209f2774a3b227dc5345e19822f74c89ddf4248352a8","observation_id":"3eb56ae7-5762-45b9-b69d-95b7ed47a628","resolution":{"observed_at":"2026-08-03T19:34:28.105514Z","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":"2026-08-03T19:34:28.111645Z","title":"Kechris.Classical descriptive set theory","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.111645Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:5b37de0a5ff6e970787453239034f7c0ef03effd46740180be2f71814e556483","observation_id":"3c7c5a0c-e399-4e1f-b6b6-1db8192c89de","resolution":{"observed_at":"2026-08-03T19:34:28.111645Z","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":"2026-08-03T19:34:28.120693Z","title":"Turbulence, amalgamation and generic automorphisms of homogeneous structures","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.120693Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:f22e03a6a5368826e62f10105b13e784745d1ce5ca6c8afd473ca00a8b4bdf03","observation_id":"0b76d287-bf90-49c7-893d-680c22d82ddf","resolution":{"observed_at":"2026-08-03T19:34:28.120693Z","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":"2026-08-03T19:34:28.134360Z","title":"The group of homeomorphisms of the Cantor set has ample generics","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.134360Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:fbb61ec8f2b6559aae11581933a1a1e136c3b3eeb4fe461bfc4f99c955b96666","observation_id":"e22e349c-891c-4332-ad84-ecb9c924995d","resolution":{"observed_at":"2026-08-03T19:34:28.134360Z","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":"2026-08-03T19:34:28.141754Z","title":"Autour de la propriété du petit indice","venue":null,"work_id":null,"year":1991},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.141754Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:40b9b299b64ef95c7add674334431f03ecb2873786fd51d828a2630c0310ac14","observation_id":"28fe6949-2a4e-4774-9113-8fa379b93e3d","resolution":{"observed_at":"2026-08-03T19:34:28.141754Z","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":"2026-08-03T19:34:28.153544Z","title":"Le demi-groupe des endomorphismes d’une structureℵ 0-catégorique","venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.153544Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:99f989ff806d34037f4f724a52e11ce2b0cf2a6dbbd6886905a6baffbb930bd4","observation_id":"50b13fcb-9d70-4867-b1d0-dadf48ad53bb","resolution":{"observed_at":"2026-08-03T19:34:28.153544Z","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":"2026-08-03T19:34:28.159292Z","title":"On the category of models of a complete theory","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.159292Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:fc327acbbb81b7c79a7852ccd6c153a712f96fc0ff314d5cf1520f84d471902a","observation_id":"bc0fa0e8-bd0c-4a22-a4f2-448277c58195","resolution":{"observed_at":"2026-08-03T19:34:28.159292Z","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":"2026-08-03T19:34:28.170222Z","title":"A survey of homogeneous structures","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.170222Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:4d7200da8ba3810020a245879c1b1c0a94a6de42db8bec6e4a7ed713f9a08718","observation_id":"5caedfc7-47f5-46d4-8b38-69b71fcd174d","resolution":{"observed_at":"2026-08-03T19:34:28.170222Z","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":"2026-08-03T19:34:28.176369Z","title":"Invariant Keisler measures forω-categorical structures","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.176369Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:2d54bb83a8a7385186e0870723cde5bab1ad62009b82e0c4639fc21b6cbd5db7","observation_id":"ae0600f2-e8d2-4dac-bdeb-aa196b0e5cfd","resolution":{"observed_at":"2026-08-03T19:34:28.176369Z","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":"2026-08-03T19:34:28.184283Z","title":"Cores over Ramsey structures","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.184283Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:7c9237c1672ea76bc0831c9d571d3f4f8432361dde8adc5d42147c2fe5c3f2f9","observation_id":"2c06a3f5-a93a-4335-9198-b5d79b5f63a5","resolution":{"observed_at":"2026-08-03T19:34:28.184283Z","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":"2026-08-03T19:34:28.190896Z","title":"Minimal and intrinsic topologies on monoids of elementary embeddings","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.190896Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:e36fbe1dea0dad750afa461e483a6d714382b701c8446b6e15a043b0463342e9","observation_id":"1e101ff3-7818-45f5-9d39-5394f907e542","resolution":{"observed_at":"2026-08-03T19:34:28.190896Z","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":"2026-08-03T19:34:28.197149Z","title":"Two classes of oligomorphic groups with smooth topological isomorphism relation","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.197149Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:b3b7a15d9653453e7e40e1b569576947c7f05cb1dc29274bce128cd13a2ef03e","observation_id":"33848ccd-588c-4187-9453-9dddcaad4557","resolution":{"observed_at":"2026-08-03T19:34:28.197149Z","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":"2026-08-03T19:34:28.204801Z","title":"Reconstructing Structures with the Strong Small Index Property up to Bi-Definability","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.204801Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:d26f054a3c79a1f1bed9145538eba60787bb0504930d5c15b1d4bf0249ec0eec","observation_id":"3ec82107-d9e1-4d19-b783-3262f55cdd33","resolution":{"observed_at":"2026-08-03T19:34:28.204801Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1703.10517","last_updated":"2018-10-04T10:21:20Z","snapshot_observed_at":"2026-08-14T21:09:09.292106Z","submitted_at":"2017-03-30T15:19:03Z","title":"The Strong Small Index Property for Free Homogeneous Structures","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1703.10517","snapshot_observed_at":"2026-08-03T19:34:28.210461Z","title":"The Strong Small Index Property For Free Ho- mogeneous Structures","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.210461Z"},"links":{"cited_paper":"/paper/1703.10517","citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:4aa3d51142ea33ed97045bfd573c7de7f2abbf9bb1aebd7b0670c703cd614684","observation_id":"42fe7f12-44a4-4c38-b15a-93025b5ccff0","resolution":{"observed_at":"2026-08-03T19:34:28.210461Z","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":"2026-08-03T19:34:28.215991Z","title":"Polymorphism clones of homogeneous structures: gate coverings and automatic homeomorphicity","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.215991Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:ebe2a25441ec8e8719562958a8e3683ef1771e6d87a8cfc32b1145d5e1ed747a","observation_id":"8a80b7fa-d360-400e-8b80-24dc61106ab8","resolution":{"observed_at":"2026-08-03T19:34:28.215991Z","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":"2026-08-03T19:34:28.221054Z","title":"Reconstructing the Topology of the Elementary Self- embedding Monoids of Countable Saturated Structures","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.221054Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:afed829bb8cb8d6e5caa1ff89fe98fc4d8f2b14daa96624438866ff07b77a553","observation_id":"52cb0230-9b34-4eca-8173-28537ff47822","resolution":{"observed_at":"2026-08-03T19:34:28.221054Z","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":"2026-08-03T19:34:28.231360Z","title":"Current challenges in infinite-domain constraint satisfaction: Dilem- mas of the infinite sheep","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.231360Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:795febab84b8654641160a7e7cd59a75a4caad7ca4b9e2bcfb2e614d0a8a1455","observation_id":"6e486500-78dc-4ea8-8899-50767f125dba","resolution":{"observed_at":"2026-08-03T19:34:28.231360Z","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":"2026-08-03T19:34:28.236832Z","title":"On the Zariski topology on endomorphism monoids of omega-categorical structures","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.236832Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:1353ae3d7de68f71c34119f109fc2aa3cfd71ee603a172419a53a12173c9ab03","observation_id":"f96d9e5b-227f-4adc-b278-6786f40cf890","resolution":{"observed_at":"2026-08-03T19:34:28.236832Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.04921","last_updated":"2023-08-14T17:00:09Z","snapshot_observed_at":"2026-08-16T15:34:42.454934Z","submitted_at":"2023-05-08T17:56:17Z","title":"The semigroup of increasing functions on the rational numbers has a unique Polish topology","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.04921","snapshot_observed_at":"2026-08-03T19:34:28.241959Z","title":"The semigroup of increasing functions on the rational numbers has a unique Polish topology","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.241959Z"},"links":{"cited_paper":"/paper/2305.04921","citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:3266efec76c5f55be0e16f714075737bfa5712978e8d51c0580570ae1a44fd4a","observation_id":"518cef2b-5de0-4d55-ac93-a585312662e0","resolution":{"observed_at":"2026-08-03T19:34:28.241959Z","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":"2026-08-03T19:34:28.249537Z","title":"On the reconstruction ofω-categorical structures from their au- tomorphism groups","venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.249537Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:b9bac4aca7f3c025a03f3b1b2a74c6fdfe7e29ded7b6ff7aa1dbbb6981b41844","observation_id":"755c63b9-8ef9-4223-85b1-253dd17f9845","resolution":{"observed_at":"2026-08-03T19:34:28.249537Z","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":"2026-08-03T19:34:28.257944Z","title":"Semigroup topologies on endomorphism monoids of omega- categorical structures","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.257944Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:2c8ca9b17738a906764d576ed57b35c561fe1932bc6acd6841b3bd7932430042","observation_id":"da7c1b37-0e00-425a-84e6-0d0265fc1e2f","resolution":{"observed_at":"2026-08-03T19:34:28.257944Z","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":"2026-08-03T19:34:28.265329Z","title":"Lecture Notes in Logic","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.265329Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:09876bfde9102b42b03b37628ee9866ba29ef98927f7d5c4c0da945f6d017375","observation_id":"748c3555-7cb0-4e34-8761-06ee97c1d3b3","resolution":{"observed_at":"2026-08-03T19:34:28.265329Z","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":"2026-08-03T19:34:28.272093Z","title":"On the isometry group of the Urysohn space","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.272093Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:79600ab7930f2a848f2f6383484dc797e88d2d403ed8389737bd08faa94952f6","observation_id":"4fd162ee-afc1-4b55-a96a-f14d6cee2b07","resolution":{"observed_at":"2026-08-03T19:34:28.272093Z","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":"2026-08-03T19:34:28.277438Z","title":"Infinite permutation groups. II. Subgroups of small index","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.277438Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:f55a3c9771833be9844a234a491d0d297ae168c5d0f25b6dd001b444adf63171","observation_id":"f259cf2a-3412-47a2-8e6b-a66f45c1aca4","resolution":{"observed_at":"2026-08-03T19:34:28.277438Z","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":"2026-08-03T19:34:28.284126Z","title":"Reconstructing the topology on monoids and polymorphism clones of reducts of the rationals","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.284126Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:615925f9c9a20e1d2d883e37bc6d2fc6dbb00e7653845f6d455a9d82f2500d26","observation_id":"4f52be03-ce1a-481f-9483-d31e6e00b1ee","resolution":{"observed_at":"2026-08-03T19:34:28.284126Z","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":"2026-08-03T19:34:28.291521Z","title":null,"venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.291521Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:fc73bdb95fc45651964f3fbf9a5687030aa407c66192f42c25ed4eb5412dd747","observation_id":"f1b92cc7-e2f5-4aa1-a36a-8bf7572c2c7e","resolution":{"observed_at":"2026-08-03T19:34:28.291521Z","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":"2026-08-03T19:34:28.297407Z","title":"Über die Kommutatorgruppe kompakter Gruppen","venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-03T19:34:28.297407Z"},"links":{"citing_paper":"/paper/2512.01086"},"observation_digest":"sha256:af203ceef8e8294d482f5acddb8d384b3910f97d4b0e75ce07e756e88b2e46a6","observation_id":"4244bf1c-e6ab-4a76-bc98-1fe760c88199","resolution":{"observed_at":"2026-08-03T19:34:28.297407Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2512.01086","last_updated":"2026-07-10T16:04:00Z","latest_version":2,"primary_category":"math.LO","snapshot_observed_at":"2026-08-04T16:35:42.619359Z","submitted_at":"2025-11-30T21:09:49Z","title":"A guide to topological reconstruction on endomorphism monoids and polymorphism clones"},"reference_resolution":{"displayed":58,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":58,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":58},"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":"2026-08-23T06:30:58.430688+00:00","source":"crossref"},{"observed_at":"2026-08-23T06:30:53.778098+00:00","source":"retraction_watch"}],"thesis":"As of 23 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 3 inbound Pith citation observations for arXiv:2512.01086."}