{"as_of":"2026-08-17T04:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ea8f409347c6b59733d21dce95c887bce0719bcfc1d6ca4bd48dc2e0a280c05a","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":4,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":4,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":4,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":4,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T04:48:46.081704Z","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":"2503.19466","last_updated":"2025-06-16T10:05:22Z","snapshot_observed_at":"2026-08-16T12:47:04.176437Z","submitted_at":"2025-03-25T08:58:04Z","title":"A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2503.19466","snapshot_observed_at":"2026-08-16T04:48:46.081704Z","title":"https://doi.org/10.48550/arXiv.2503.19466","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2505.00466","last_updated":"2025-06-24T01:27:12Z","snapshot_observed_at":"2026-08-16T04:39:11.785049Z","submitted_at":"2025-05-01T11:33:38Z","title":"A General Framework for Property-Driven Machine Learning","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-16T04:48:46.081704Z"},"links":{"cited_paper":"/paper/2503.19466","citing_paper":"/paper/2505.00466"},"observation_digest":"sha256:ccc1b8462e5d7c0a87767e0e37f30f0dcc9fe2b134f32b9834fc4fdae017fcff","observation_id":"66948541-ee31-4448-9911-04814050b725","resolution":{"observed_at":"2026-08-16T04:48:46.081704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2503.19466","last_updated":"2025-06-16T10:05:22Z","snapshot_observed_at":"2026-08-16T12:47:04.176437Z","submitted_at":"2025-03-25T08:58:04Z","title":"A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction","version":3},"cited_work":{"arxiv_id":"2503.19466","doi":"10.48550/arxiv.2503.19466","metadata_source":"arxiv_reference","pith_arxiv_id":"2503.19466","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Oskar Kviman, Harald Melin, Hazal Koptagel, Vic- tor Elvira, and Jens Lagergren","venue":"arXiv (Cornell University)","work_id":"d377089d-81ed-419d-a04f-138c6e9053e6","year":2022},"citing_paper":{"arxiv_id":"2604.16714","last_updated":"2026-04-17T21:28:24Z","snapshot_observed_at":"2026-07-06T23:03:57.199731Z","submitted_at":"2026-04-17T21:28:24Z","title":"How to Approximate Inference with Subtractive Mixture Models","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T08:21:01.851027Z"},"links":{"cited_paper":"/paper/2503.19466","citing_paper":"/paper/2604.16714"},"observation_digest":"sha256:15fde86f4c6e973e7d4c58c24af19f7ee3e7d1b3c7ff625fa1ccc769ae67da08","observation_id":"0f8f8ee7-3eca-4b2f-a376-12c5d582018e","resolution":{"observed_at":"2026-05-10T08:22:37.084438Z","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":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.19466","last_updated":"2025-06-16T10:05:22Z","snapshot_observed_at":"2026-08-16T12:47:04.176437Z","submitted_at":"2025-03-25T08:58:04Z","title":"A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction","version":3},"cited_work":{"arxiv_id":"2503.19466","doi":"10.48550/arxiv.2503.19466","metadata_source":"arxiv_reference","pith_arxiv_id":"2503.19466","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Oskar Kviman, Harald Melin, Hazal Koptagel, Vic- tor Elvira, and Jens Lagergren","venue":"arXiv (Cornell University)","work_id":"d377089d-81ed-419d-a04f-138c6e9053e6","year":2022},"citing_paper":{"arxiv_id":"2605.13845","last_updated":"2026-05-14T17:00:29Z","snapshot_observed_at":"2026-07-06T23:25:21.032938Z","submitted_at":"2026-05-13T17:59:40Z","title":"Quantitative Linear Logic for Neuro-Symbolic Learning and Verification","version":1},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-05-14T17:29:39.346689Z"},"links":{"cited_paper":"/paper/2503.19466","citing_paper":"/paper/2605.13845"},"observation_digest":"sha256:1f96322a851adfa8c3a6a435ccfd753230e8d4675ce071ed0d80eca9ee3c24f0","observation_id":"4d04bb01-3f64-4e78-8e46-b02e171a3f00","resolution":{"observed_at":"2026-05-14T17:32:30.546269Z","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":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2503.19466","last_updated":"2025-06-16T10:05:22Z","snapshot_observed_at":"2026-08-16T12:47:04.176437Z","submitted_at":"2025-03-25T08:58:04Z","title":"A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction","version":3},"cited_work":{"arxiv_id":"2503.19466","doi":"10.48550/arxiv.2503.19466","metadata_source":"arxiv_reference","pith_arxiv_id":"2503.19466","snapshot_observed_at":"2026-08-05T02:28:24.338817Z","title":"Oskar Kviman, Harald Melin, Hazal Koptagel, Vic- tor Elvira, and Jens Lagergren","venue":"arXiv (Cornell University)","work_id":"d377089d-81ed-419d-a04f-138c6e9053e6","year":2022},"citing_paper":{"arxiv_id":"2605.13845","last_updated":"2026-05-14T17:00:29Z","snapshot_observed_at":"2026-07-06T23:25:21.032938Z","submitted_at":"2026-05-13T17:59:40Z","title":"Quantitative Linear Logic for Neuro-Symbolic Learning and Verification","version":2},"reference_index":78,"source":"arxiv_source","source_observed_at":"2026-05-15T05:40:16.030363Z"},"links":{"cited_paper":"/paper/2503.19466","citing_paper":"/paper/2605.13845"},"observation_digest":"sha256:a58531659aefaa3a2129c9e5303076030ffce0338d94f639b7b20dc21557a739","observation_id":"e989a0a9-9dfc-43f1-a3c3-ea7cd6d56561","resolution":{"observed_at":"2026-05-15T05:45:05.230693Z","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":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2503.19466/citation-record","integrity":"/paper/2503.19466/integrity","json":"/paper/2503.19466/citation-record.json","paper":"/paper/2503.19466"},"outbound":[],"paper":{"arxiv_id":"2503.19466","last_updated":"2025-06-16T10:05:22Z","latest_version":3,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-16T12:47:04.176437Z","submitted_at":"2025-03-25T08:58:04Z","title":"A Probabilistic Neuro-symbolic Layer for Algebraic Constraint Satisfaction"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2503.19466."}