{"as_of":"2026-08-16T21:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:33df0f3cff2dba1c858bf1d8446a77ce4192ef8801ef08cd31d2ec2241ead936","coverage":[{"denominator":9,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":9,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-03T20:53:38.106470Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-20T17:20:29.589792Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":1,"source":"arxiv_reference","source_observed_at":"2026-08-05T02:28:24.338817Z","state":"measured"}],"external_citation_measurements":[{"count":0,"observed_at":"2026-08-05T02:28:24.338817Z","source":"arxiv_reference"}],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"cited_work":{"arxiv_id":"2511.18545","doi":"10.48550/arxiv.2511.18545","metadata_source":"arxiv_reference","pith_arxiv_id":"2511.18545","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"On finiteness properties of separating semigroup of real curve , url =","venue":"Open MIND","work_id":"31634f9c-eb5c-4846-8de6-9cbd927e8233","year":null},"citing_paper":{"arxiv_id":"2605.15970","last_updated":"2026-05-15T14:00:47Z","snapshot_observed_at":"2026-08-15T07:38:22.057493Z","submitted_at":"2026-05-15T14:00:47Z","title":"Copositive Matrices with Ordered Off-Diagonal Entries","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-05-20T17:20:29.589792Z"},"links":{"cited_paper":"/paper/2511.18545","citing_paper":"/paper/2605.15970"},"observation_digest":"sha256:49561e1a0ca387c66ed6f8c14338cc84308e48c77ac08d396f5d008f89f6154c","observation_id":"e878b746-7878-4f62-a834-e67a236e3128","resolution":{"observed_at":"2026-06-09T03:07:06.628658Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-05-24T04:54:25.8983+00:00","source":"crossref_status_cache"},{"observed_at":"2026-05-24T04:54:25.8983+00:00","source":"openalex_status_cache"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2511.18545/citation-record","integrity":"/paper/2511.18545/integrity","json":"/paper/2511.18545/citation-record.json","paper":"/paper/2511.18545"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02567028","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Commentarii Mathematici Helvetici","work_id":"d214b0e7-2c36-4f11-8d3f-eb813be2bbbd","year":1950},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.143140Z"},"links":{"citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:c1fc2a99a3b7e26ed3011bf104eeb144534efca3101114e3d6a066883543e0d1","observation_id":"27d5db62-a70f-41a6-b8d1-0ecb874621c0","resolution":{"observed_at":"2026-08-03T20:58:28.849064Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-03T20:53:37.218754Z","title":"Finiteness of the odd perfect and primitive abundant numbers with n distinct prime factors","venue":null,"work_id":null,"year":1913},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.218754Z"},"links":{"citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:f1b73706230d396c87875ec7a9a2d889c419758e802f4b3a745320ec1872429c","observation_id":"834a7443-db77-4d69-97b1-7fab589886f3","resolution":{"observed_at":"2026-08-03T20:53:37.218754Z","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":"10.1007/s10231-002-0053-1","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"Annali di Matematica Pura ed Applicata (1923 -)","work_id":"9a0adc13-d343-404f-a942-e1b4c8fa6070","year":2003},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.343339Z"},"links":{"citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:4da8bbb7c34fcaf7a97ed6905211f6c8f0739511bd10334b5d77f7bc442cd775","observation_id":"d1742b4a-a4c5-4a3e-9587-331249f41764","resolution":{"observed_at":"2026-08-03T20:58:28.585498Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1707.08227","last_updated":"2019-02-07T08:22:22Z","snapshot_observed_at":"2026-08-16T20:09:04.893774Z","submitted_at":"2017-07-25T21:22:23Z","title":"The separating semigroup of a real curve","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.08227","snapshot_observed_at":"2026-08-03T20:53:37.417183Z","title":"The separating semigroup of a real curve","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.417183Z"},"links":{"cited_paper":"/paper/1707.08227","citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:9a00f7b0e08300ae8a4fb81ab720eb2aea507b09a7a2446f3ed7abfa68240ced","observation_id":"b7d76943-ecfb-4a9d-a845-f71dcd2650aa","resolution":{"observed_at":"2026-08-03T20:53:37.417183Z","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":"2026-08-03T20:53:37.532774Z","title":"Separating semigroup of plane quintics","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.532774Z"},"links":{"citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:3196e25f3d5f7d918283fa388fbd965d4588b5d3914c7cb018a5a4b2028d0b27","observation_id":"ae56c84b-2daa-43da-91fd-48f9683c4417","resolution":{"observed_at":"2026-08-03T20:53:37.532774Z","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":"2026-08-03T20:53:37.695025Z","title":"In preparation., 2025","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.695025Z"},"links":{"citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:a392ecf93fb4bd466301f513a37cc7345fcc9af6c9c371dfcfca7fa3bf0da9a2","observation_id":"db2b2f75-02ef-4a7a-9991-8b85eb46d47b","resolution":{"observed_at":"2026-08-03T20:53:37.695025Z","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":"10.1090/spmj/1586","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":null,"venue":"St Petersburg Mathematical Journal","work_id":"badda010-b3aa-40fe-a081-af5a88cf911a","year":2019},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.842466Z"},"links":{"citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:af9ec7b4a57d763171664e1c49570927ca3103c32df41ccee2d49687a0236e9a","observation_id":"bff35dce-3658-4180-b4ee-57f87d8b9f56","resolution":{"observed_at":"2026-08-03T20:58:28.393448Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.09130","last_updated":"2021-05-06T12:26:29Z","snapshot_observed_at":"2026-08-16T19:12:37.425456Z","submitted_at":"2020-10-18T22:51:31Z","title":"Algebraically unrealizable complex orientations of plane real pseudoholomorphic curves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.09130","snapshot_observed_at":"2026-08-03T20:53:37.949414Z","title":"Yu Orevkov","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:37.949414Z"},"links":{"cited_paper":"/paper/2010.09130","citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:2c86665d43acfd68546684961e8fce9b5faa921cd085c52b06910b000de491c0","observation_id":"a3518656-200a-46ae-8eb0-38546219934a","resolution":{"observed_at":"2026-08-03T20:53:37.949414Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2412.02460","last_updated":"2025-04-15T16:58:44Z","snapshot_observed_at":"2026-08-11T23:23:17.872177Z","submitted_at":"2024-12-03T14:00:47Z","title":"Separating semigroup of genus 4 curves","version":2},"cited_work":{"arxiv_id":"2412.02460","doi":"10.48550/arxiv.2412.02460","metadata_source":"pith","pith_arxiv_id":"2412.02460","snapshot_observed_at":"2026-08-05T02:49:54.815029Z","title":"Separating semigroup of genus 4 curves","venue":"math.AG","work_id":"56770828-4219-4b5c-978c-648f79917c89","year":2024},"citing_paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve","version":4},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-03T20:53:38.106470Z"},"links":{"cited_paper":"/paper/2412.02460","citing_paper":"/paper/2511.18545"},"observation_digest":"sha256:d41be0c8a1277ef42500fa21e8c4ba222cfdb906500f4f714db4f93d9a8afaf0","observation_id":"cde81f4b-1b16-4fd9-9180-9b2e53e8cc50","resolution":{"observed_at":"2026-08-03T20:58:28.184417Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2511.18545","last_updated":"2026-06-07T18:58:58Z","latest_version":4,"primary_category":"math.AG","snapshot_observed_at":"2026-08-16T13:53:28.927680Z","submitted_at":"2025-11-23T17:25:25Z","title":"On finiteness properties of separating semigroup of real curve"},"reference_resolution":{"displayed":9,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":4,"verified_fuzzy":0},"total_outbound_references":9},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2511.18545."}