{"as_of":"2026-08-10T10:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b83e1ba8efd8b5d156b0beb75a4d6935c66d29d5b0f259f46124a8238d77d13d","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":5,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":5,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":5,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":5,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T21:36:03.301442Z","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":"2026-05-24T02:33:47.301664Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2209.12736","last_updated":"2025-03-10T16:09:53Z","snapshot_observed_at":"2026-08-10T03:36:23.122723Z","submitted_at":"2022-09-26T14:39:20Z","title":"Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces","version":8},"cited_work":{"arxiv_id":"2209.12736","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.12736","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv:2209.12736","venue":null,"work_id":"8127ae2c-9107-4f92-816d-c136ffd072ef","year":2024},"citing_paper":{"arxiv_id":"2404.06428","last_updated":"2026-04-04T08:33:44Z","snapshot_observed_at":"2026-08-02T17:41:14.129355Z","submitted_at":"2024-04-09T16:19:23Z","title":"Maximality and Cauchy developments of Lorentzian length spaces","version":4},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T02:32:36.172129Z"},"links":{"cited_paper":"/paper/2209.12736","citing_paper":"/paper/2404.06428"},"observation_digest":"sha256:c14bcbac89b6ef356a959ac4928aef5baa1e46c312ae60f78db0a17df339d585","observation_id":"f86ad6e0-d671-4807-b640-fbf83767cff9","resolution":{"observed_at":"2026-05-24T02:33:47.304734Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.12736","last_updated":"2025-03-10T16:09:53Z","snapshot_observed_at":"2026-08-10T03:36:23.122723Z","submitted_at":"2022-09-26T14:39:20Z","title":"Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.12736","snapshot_observed_at":"2026-08-09T21:36:03.301442Z","title":"Müller,Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces, Preprint, arXiv:2209.12736","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2501.19071","last_updated":"2025-07-02T13:11:31Z","snapshot_observed_at":"2026-08-10T05:30:22.462949Z","submitted_at":"2025-01-31T11:59:47Z","title":"New perspectives on the d'Alembertian from general relativity. An invitation","version":2},"reference_index":142,"source":"pdf_text","source_observed_at":"2026-08-09T21:36:03.301442Z"},"links":{"cited_paper":"/paper/2209.12736","citing_paper":"/paper/2501.19071"},"observation_digest":"sha256:a23677c92bb5a3d8eb7abbcc16e651ed195518e4418d141f2f6466a34917b7b1","observation_id":"03694434-152c-4b7f-ac58-32b9789e8e2c","resolution":{"observed_at":"2026-08-09T21:36:03.301442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.12736","last_updated":"2025-03-10T16:09:53Z","snapshot_observed_at":"2026-08-10T03:36:23.122723Z","submitted_at":"2022-09-26T14:39:20Z","title":"Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces","version":8},"cited_work":{"arxiv_id":"2209.12736","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.12736","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"arXiv:2209.12736","venue":null,"work_id":"8127ae2c-9107-4f92-816d-c136ffd072ef","year":2024},"citing_paper":{"arxiv_id":"2506.04934","last_updated":"2026-04-29T18:29:45Z","snapshot_observed_at":"2026-07-06T21:37:09.640484Z","submitted_at":"2025-06-05T12:09:09Z","title":"On the geometry of synthetic null hypersurfaces","version":3},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-19T11:26:33.006804Z"},"links":{"cited_paper":"/paper/2209.12736","citing_paper":"/paper/2506.04934"},"observation_digest":"sha256:7f35a5fe444ac3077ae42bc0c1a546064f2e790011313433d6598a831d14e597","observation_id":"f3eece2c-d0c0-4a09-8707-9cf83e1d2779","resolution":{"observed_at":"2026-05-19T11:27:15.889799Z","resolver_source":"arxiv_id","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.12736","last_updated":"2025-03-10T16:09:53Z","snapshot_observed_at":"2026-08-10T03:36:23.122723Z","submitted_at":"2022-09-26T14:39:20Z","title":"Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.12736","snapshot_observed_at":"2026-08-07T04:33:11.103129Z","title":"Müller, Gromov-Hausdorff distances for Lorentzian length spaces , Preprint, arXiv:2209.12736 [math.DG] (2022)","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.10852","last_updated":"2025-06-12T16:11:20Z","snapshot_observed_at":"2026-08-10T05:30:22.564762Z","submitted_at":"2025-06-12T16:11:20Z","title":"Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T04:33:11.103129Z"},"links":{"cited_paper":"/paper/2209.12736","citing_paper":"/paper/2506.10852"},"observation_digest":"sha256:9f7d80a6a35798a82fa98474544ff23d2cf5c200dbd2c473113398056b335813","observation_id":"79b79817-42ba-4513-819b-7c67a0776326","resolution":{"observed_at":"2026-08-07T04:33:11.103129Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2209.12736","last_updated":"2025-03-10T16:09:53Z","snapshot_observed_at":"2026-08-10T03:36:23.122723Z","submitted_at":"2022-09-26T14:39:20Z","title":"Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2209.12736","snapshot_observed_at":"2026-08-05T19:44:14.453644Z","title":"M¨ uller","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2508.11959","last_updated":"2025-08-16T07:41:25Z","snapshot_observed_at":"2026-08-09T06:56:58.233767Z","submitted_at":"2025-08-16T07:41:25Z","title":"Rigorous Feature Importance Scores based on Shapley Value and Banzhaf Index","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-05T19:44:14.453644Z"},"links":{"cited_paper":"/paper/2209.12736","citing_paper":"/paper/2508.11959"},"observation_digest":"sha256:c68dda31d0cd3e2fc327d8074e078f805d5b30b010538aa3ae7f0cdf405159b5","observation_id":"42a89182-fb1b-44bf-a2e0-3ee6eaf30c0e","resolution":{"observed_at":"2026-08-05T19:44:14.453644Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2209.12736/citation-record","integrity":"/paper/2209.12736/integrity","json":"/paper/2209.12736/citation-record.json","paper":"/paper/2209.12736"},"outbound":[],"paper":{"arxiv_id":"2209.12736","last_updated":"2025-03-10T16:09:53Z","latest_version":8,"primary_category":"math.DG","snapshot_observed_at":"2026-08-10T03:36:23.122723Z","submitted_at":"2022-09-26T14:39:20Z","title":"Gromov-Hausdorff metrics and dimensions of Lorentzian length spaces"},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2209.12736."}