{"as_of":"2026-08-08T07:20:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:eee442e7287fc1badab2aaad5e157a1f0376db26a060e19c1452ac4462eb9929","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:45:37.446874Z","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":"2026-08-08T06:32:00.761636+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":"2026-08-06T17:45:28.346714Z","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":"2026-07-02T04:06:35.295773Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2506.02146","snapshot_observed_at":"2026-08-06T17:45:28.346714Z","title":"Pacati, G","venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2507.10336","last_updated":"2025-07-14T14:42:59Z","snapshot_observed_at":"2026-08-06T17:31:04.482637Z","submitted_at":"2025-07-14T14:42:59Z","title":"Smoothness and stability in the Alt-Phillips problem","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T17:45:28.346714Z"},"links":{"cited_paper":"/paper/2506.02146","citing_paper":"/paper/2507.10336"},"observation_digest":"sha256:5af9e1ee501e58b32671e3d6d89c3eebca29c7fdb435d55860d30b7f0c7062fe","observation_id":"0a065112-d7ed-4442-8f19-19e6f6914c4a","resolution":{"observed_at":"2026-08-06T17:45:28.346714Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"cited_work":{"arxiv_id":"2506.02146","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.02146","snapshot_observed_at":"2026-07-02T04:06:35.295773Z","title":null,"venue":null,"work_id":"de8d66a7-cea0-4cbf-a8f2-726250291e5e","year":2025},"citing_paper":{"arxiv_id":"2605.12277","last_updated":"2026-05-12T15:37:20Z","snapshot_observed_at":"2026-08-02T10:02:21.737261Z","submitted_at":"2026-05-12T15:37:20Z","title":"Tangential limits of stable minimal capillary surfaces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-13T03:55:22.119131Z"},"links":{"cited_paper":"/paper/2506.02146","citing_paper":"/paper/2605.12277"},"observation_digest":"sha256:0060b8ed242e4e51b456217560a5e885b0014aa047bc20e5f5036f0e9aa3801b","observation_id":"f449c17d-4df7-4a7d-9120-e1e48d939d9e","resolution":{"observed_at":"2026-05-13T03:57:13.536824Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"cited_work":{"arxiv_id":"2506.02146","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.02146","snapshot_observed_at":"2026-07-02T04:06:35.295773Z","title":null,"venue":null,"work_id":"de8d66a7-cea0-4cbf-a8f2-726250291e5e","year":2025},"citing_paper":{"arxiv_id":"2606.03847","last_updated":"2026-06-02T16:26:32Z","snapshot_observed_at":"2026-07-06T23:44:05.167767Z","submitted_at":"2026-06-02T16:26:32Z","title":"Denoising Tells When to Replan: Denoising-Variance Adaptive Chunking for Flow-Based Robot Policies","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-28T09:26:28.271486Z"},"links":{"cited_paper":"/paper/2506.02146","citing_paper":"/paper/2606.03847"},"observation_digest":"sha256:47ad9645baa38935628c4c4bd1eae2d7cca60fe1d65b2bd3c674d0dcd83aa2a1","observation_id":"c3e181ce-dbe8-4227-ac0b-07d048233482","resolution":{"observed_at":"2026-07-02T04:06:35.297265Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.02146/citation-record","integrity":"/paper/2506.02146/integrity","json":"/paper/2506.02146/citation-record.json","paper":"/paper/2506.02146"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:45:37.814399Z","title":null,"venue":null,"work_id":"ae3175f3-a095-40cc-b855-038a5155d513","year":2025},"citing_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T11:45:04.264681Z"},"links":{"citing_paper":"/paper/2506.02146"},"observation_digest":"sha256:6d91a9d6ac10b4e00e2b68a96703f1ce16aa111cf74912cc7b3f55a6f17540d3","observation_id":"f3e62a77-0db6-472c-8a2e-47c6aaba1da1","resolution":{"observed_at":"2026-08-07T11:45:37.852665Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2405.20796","last_updated":"2024-05-31T13:57:57Z","snapshot_observed_at":"2026-07-06T18:23:15.098065Z","submitted_at":"2024-05-31T13:57:57Z","title":"Regularity of minimal surfaces with capillary boundary conditions","version":1},"cited_work":{"arxiv_id":"2405.20796","doi":null,"metadata_source":"pith","pith_arxiv_id":"2405.20796","snapshot_observed_at":"2026-08-07T11:45:37.528831Z","title":"Regularity of minimal surfaces with capillary boundary conditions","venue":"math.DG","work_id":"04587b81-7df8-4ba8-aa20-1477915c9aad","year":2024},"citing_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T11:45:25.844753Z"},"links":{"cited_paper":"/paper/2405.20796","citing_paper":"/paper/2506.02146"},"observation_digest":"sha256:95a76356d82357cedd6a32282153cef19c2a8614bce3e1e60718545fe4e9b4ad","observation_id":"783d00da-f3a7-43ec-920f-a6ebd121426b","resolution":{"observed_at":"2026-08-07T11:45:37.549080Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:45:37.728029Z","title":"De Philippis and F","venue":null,"work_id":"7905b52c-30e3-4283-9a9a-60080dea12ed","year":2015},"citing_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T11:45:32.574590Z"},"links":{"citing_paper":"/paper/2506.02146"},"observation_digest":"sha256:6b0d4ba969d75fa2f7fa0facd0cb00610ef961e4c145269250ce295e36aac27e","observation_id":"0f318bfe-c133-4cef-9048-393606f47542","resolution":{"observed_at":"2026-08-07T11:45:37.764694Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.07697","last_updated":"2025-02-11T16:50:40Z","snapshot_observed_at":"2026-07-06T20:34:53.567141Z","submitted_at":"2025-02-11T16:50:40Z","title":"Some remarks on singular capillary cones with free boundary","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.07697","snapshot_observed_at":"2026-08-07T11:45:37.351290Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T11:45:37.351290Z"},"links":{"cited_paper":"/paper/2502.07697","citing_paper":"/paper/2506.02146"},"observation_digest":"sha256:e7bd3c9a0ce1fc6d2b6556488b2b4b6fe0c8e9c7dac06dcb1b8cee8d10790dbc","observation_id":"f8789ec7-0927-427d-a610-9775776629e9","resolution":{"observed_at":"2026-08-07T11:45:37.351290Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:45:37.668341Z","title":"28, Springer, Cham, [2023] ©2023","venue":null,"work_id":"85a4ff25-05d5-440d-80d1-4afa049b8888","year":2023},"citing_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T11:45:37.402025Z"},"links":{"citing_paper":"/paper/2506.02146"},"observation_digest":"sha256:a2a1350f1330a28fa373506f977e6a5dc7ba96cdea16b0f2931680f6c5e7483c","observation_id":"8d5ff15f-e7f5-4d57-8eed-f1bf1a246815","resolution":{"observed_at":"2026-08-07T11:45:37.687337Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:45:37.620671Z","title":null,"venue":null,"work_id":"ceddc8a5-7f47-465c-91a8-1cae177159b4","year":1999},"citing_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T11:45:37.431030Z"},"links":{"citing_paper":"/paper/2506.02146"},"observation_digest":"sha256:01ac3d3c4d3bbf96737d553ef5db48476fecf1d501301e9995005878c46b9549","observation_id":"85236b3a-8014-4f38-9bc4-91c710267283","resolution":{"observed_at":"2026-08-07T11:45:37.640461Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:45:37.574568Z","title":null,"venue":null,"work_id":"9a4c952b-9420-423e-a2e1-0b2e7f7de54a","year":2005},"citing_paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T11:45:37.446874Z"},"links":{"citing_paper":"/paper/2506.02146"},"observation_digest":"sha256:89226b9326a165c6b316ccee02d645567e788221473333ddddc304e72f56ad16","observation_id":"6606924a-1805-44d2-b19c-9ec87851a5f4","resolution":{"observed_at":"2026-08-07T11:45:37.596189Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.02146","last_updated":"2025-06-02T18:18:47Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-07T11:27:31.042665Z","submitted_at":"2025-06-02T18:18:47Z","title":"Weiss monotonicity and capillary hypersurfaces"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":2},"total_outbound_references":7},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 3 inbound Pith citation observations for arXiv:2506.02146."}