{"as_of":"2026-08-08T13:06:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:4865a463bd085a78cd415b250a635b007e136a2ffe7f77acb39407c47ab63e8b","coverage":[{"denominator":17,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":17,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T11:34:27.534612Z","state":"measured"},{"denominator":18,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":18,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-05-22T09:17:27.349353Z","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":"2026-05-22T09:24:46.454225Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"cited_work":{"arxiv_id":"2506.02430","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.02430","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Suyama and S","venue":null,"work_id":"0553a8d0-12d0-422b-83fc-e97778686a5e","year":2025},"citing_paper":{"arxiv_id":"2605.21584","last_updated":"2026-05-20T18:00:01Z","snapshot_observed_at":"2026-07-06T23:32:01.202542Z","submitted_at":"2026-05-20T18:00:01Z","title":"Wave-optics gravitational wave lensing in modified gravity","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-05-22T09:17:27.349353Z"},"links":{"cited_paper":"/paper/2506.02430","citing_paper":"/paper/2605.21584"},"observation_digest":"sha256:0cf1bc74dd34711326da09fd97c4c4b3aff1e2f76f6caddeb282796df9ef12b5","observation_id":"6ddca847-94dd-4697-a771-473d6b12948a","resolution":{"observed_at":"2026-05-22T09:24:46.456452Z","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/2506.02430/citation-record","integrity":"/paper/2506.02430/integrity","json":"/paper/2506.02430/citation-record.json","paper":"/paper/2506.02430"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:34:25.453569Z","title":"write newline","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:25.453569Z"},"links":{"citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:c0610d97f2b2c5167b18f91a7883c4a0bd01f10b58cc4d14ecb637ed115e7279","observation_id":"f1b2c87e-3628-4f7f-bf0c-7c8b2fc39aec","resolution":{"observed_at":"2026-08-07T11:34:25.453569Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1411.4547","last_updated":"2014-11-17T16:55:23Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-11-17T16:55:23Z","title":"Advanced LIGO","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1411.4547","snapshot_observed_at":"2026-08-07T11:34:25.565159Z","title":"Aasi et al., Advanced LIGO , Class","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:25.565159Z"},"links":{"cited_paper":"/paper/1411.4547","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:af22a7b0f7c0390a0e70a993ef3fe9392ba416517307b891245081430ab41f7b","observation_id":"05f36e65-3b5f-4c02-b51a-bf0cd691818b","resolution":{"observed_at":"2026-08-07T11:34:25.565159Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1408.3978","last_updated":"2014-10-16T13:24:29Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-08-18T11:19:22Z","title":"Advanced Virgo: a 2nd generation interferometric gravitational wave detector","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1408.3978","snapshot_observed_at":"2026-08-07T11:34:25.671300Z","title":"Acernese et al., Advanced Virgo: a second-generation interferometric gravitational wave detector , Class","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:25.671300Z"},"links":{"cited_paper":"/paper/1408.3978","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:a12e3adb8358ab5c24f5188296bd7e248a45c3cd1176e90b3cf0cd6067d4e4b2","observation_id":"12168253-ae58-467a-889b-31c0a4ce8bba","resolution":{"observed_at":"2026-08-07T11:34:25.671300Z","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":"2026-08-07T11:34:25.815467Z","title":"Akutsu et al., Overview of KAGRA: Detector design and construction history , PTEP 2021 (2021), no","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:25.815467Z"},"links":{"citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:d031ca004deebbfcb4d5c94d6324b81a0817502d37ac34423c8ee9a6c0a90a76","observation_id":"8af11470-6564-4588-a193-8123db5b1952","resolution":{"observed_at":"2026-08-07T11:34:25.815467Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1811.12907","last_updated":"2019-10-04T08:10:25Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2018-11-30T17:34:09Z","title":"GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1811.12907","snapshot_observed_at":"2026-08-07T11:34:25.928681Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:25.928681Z"},"links":{"cited_paper":"/paper/1811.12907","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:f7186fbce43a716e84f5fc8625f6c7b56245e1a04bfc86102eba6f929f06403c","observation_id":"dd2ee61c-e82b-451f-9537-861cedad5ad3","resolution":{"observed_at":"2026-08-07T11:34:25.928681Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2010.14527","last_updated":"2021-03-08T18:36:29Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2020-10-27T18:01:31Z","title":"GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.14527","snapshot_observed_at":"2026-08-07T11:34:26.047988Z","title":"Abbott et al., GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run , Phys","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:26.047988Z"},"links":{"cited_paper":"/paper/2010.14527","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:05b5f6ebc20f6419c0bbfe33529c2d7d81ba9f7134d5552b5ea06e299b7003a2","observation_id":"20922378-0ce4-4d0b-bfaa-66dc92a51f74","resolution":{"observed_at":"2026-08-07T11:34:26.047988Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2108.01045","last_updated":"2022-05-10T14:16:51Z","snapshot_observed_at":"2026-07-29T23:10:57.700271Z","submitted_at":"2021-08-02T17:09:29Z","title":"GWTC-2.1: Deep Extended Catalog of Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2108.01045","snapshot_observed_at":"2026-08-07T11:34:26.159881Z","title":"Abbott et al., GWTC-2.1: Deep extended catalog of compact binary coalescences observed by LIGO and Virgo during the first half of the third observing run , Phys","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:26.159881Z"},"links":{"cited_paper":"/paper/2108.01045","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:7858e8efe15e295bbbb4e5f682e0b99b23d7fddc4e94d6005e2c55d6c1d08e15","observation_id":"ab201641-a324-4caa-b159-6ce4fb1e2cde","resolution":{"observed_at":"2026-08-07T11:34:26.159881Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2111.03606","last_updated":"2023-10-23T13:37:50Z","snapshot_observed_at":"2026-08-02T06:32:23.817229Z","submitted_at":"2021-11-05T16:43:17Z","title":"GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.03606","snapshot_observed_at":"2026-08-07T11:34:26.319192Z","title":"Abbott et al., GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo during the Second Part of the Third Observing Run , Phys","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:26.319192Z"},"links":{"cited_paper":"/paper/2111.03606","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:bb62bf24c415fbb26f2cf825dfdfe6de86939f0550a8ab9c2aac36850b0965e1","observation_id":"3277941e-2040-4455-b4ac-8c94d59427f3","resolution":{"observed_at":"2026-08-07T11:34:26.319192Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2303.05650","last_updated":"2023-09-15T06:49:38Z","snapshot_observed_at":"2026-08-03T14:58:24.389306Z","submitted_at":"2023-03-10T01:56:16Z","title":"Kramers-Kronig relation in gravitational lensing","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2303.05650","snapshot_observed_at":"2026-08-07T11:34:26.479141Z","title":"Tanaka and T","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:26.479141Z"},"links":{"cited_paper":"/paper/2303.05650","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:1397ac8936528a712c910987323d436d5adfd790b2f6ca65d21289a91dbdcfbb","observation_id":"1190c2af-b916-4d01-a517-a02ace58f52a","resolution":{"observed_at":"2026-08-07T11:34:26.479141Z","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":"2504.21320","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T11:34:28.045523Z","title":"Tanaka, G","venue":null,"work_id":"43f38053-46fd-48f6-acc3-a0d9458a94b7","year":null},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:26.583669Z"},"links":{"citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:229aa01fc6b5793cc1f822007b8782cf86c3df5340ce82c948d54909596529cf","observation_id":"f6dcff52-2d9b-4840-9210-9507da40f4b0","resolution":{"observed_at":"2026-08-07T11:34:28.173007Z","resolver_source":"raw_fallback","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":"2026-08-07T11:34:29.143451Z","title":"Stern, Elementary theory of the optical properties of solids , vol","venue":null,"work_id":"d52615d8-9533-4a80-b1a4-ef69bd3a39aa","year":1963},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:26.710239Z"},"links":{"citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:5285aa2a83a368e261fa99817858f127873bb4b44d3f3d225d180fa0b0e0dd05","observation_id":"e4a689e2-24ff-4700-8f2a-8cd4c5b7e4ea","resolution":{"observed_at":"2026-08-07T11:34:29.255864Z","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":"2103.08618","last_updated":"2021-09-06T11:59:01Z","snapshot_observed_at":"2026-07-06T10:50:08.486666Z","submitted_at":"2021-03-15T18:00:48Z","title":"Small-scale shear: Peeling off diffuse subhalos with gravitational waves","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2103.08618","snapshot_observed_at":"2026-08-07T11:34:26.880702Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:26.880702Z"},"links":{"cited_paper":"/paper/2103.08618","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:8ac9ff1852a28ce74464f75967af5b8de39057bca2be9ac23bd0d889d19b62ba","observation_id":"2148dc8a-14d1-4be7-a15a-e3dc89168c51","resolution":{"observed_at":"2026-08-07T11:34:26.880702Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2210.05658","last_updated":"2023-09-05T13:12:50Z","snapshot_observed_at":"2026-08-05T14:52:17.502495Z","submitted_at":"2022-10-11T17:55:17Z","title":"Lensing of gravitational waves: efficient wave-optics methods and validation with symmetric lenses","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2210.05658","snapshot_observed_at":"2026-08-07T11:34:27.031181Z","title":"Tambalo, M","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:27.031181Z"},"links":{"cited_paper":"/paper/2210.05658","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:af21d5de49266be3a1d8605b180569642356f69713e8fcf764a5da9e5230e376","observation_id":"51692dde-076c-48ea-827c-0750bc4757e3","resolution":{"observed_at":"2026-08-07T11:34:27.031181Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2410.06995","last_updated":"2025-03-25T15:06:52Z","snapshot_observed_at":"2026-08-06T08:41:03.991626Z","submitted_at":"2024-10-09T15:43:31Z","title":"$\\mu$-GLANCE: A Novel Technique to Detect Chromatically and Achromatically Lensed Gravitational Wave Signals","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2410.06995","snapshot_observed_at":"2026-08-07T11:34:27.150109Z","title":"Chakraborty and S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:27.150109Z"},"links":{"cited_paper":"/paper/2410.06995","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:34ef03b2c199770becea687f3e9f1d48a7c41a4f622b2b83ed8c927029b6d1ce","observation_id":"15167e23-6944-4551-b811-3ccef32067f9","resolution":{"observed_at":"2026-08-07T11:34:27.150109Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2003.11748","last_updated":"2020-07-22T10:16:01Z","snapshot_observed_at":"2026-08-05T15:03:51.715224Z","submitted_at":"2020-03-26T05:32:39Z","title":"On arrival time difference between lensed gravitational waves and light","version":2},"cited_work":{"arxiv_id":"2003.11748","doi":null,"metadata_source":"pith","pith_arxiv_id":"2003.11748","snapshot_observed_at":"2026-08-07T11:34:27.705665Z","title":"On arrival time difference between lensed gravitational waves and light","venue":"gr-qc","work_id":"dd0711e2-0876-4963-bda7-fbbb26fe80dd","year":2020},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:27.259729Z"},"links":{"cited_paper":"/paper/2003.11748","citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:029e1c88c2fbe3936adfecccebf0d9110cf2b40b979add3a65adbf92dd4bf7d3","observation_id":"e1c75601-00be-41fd-af73-c2135d4937b4","resolution":{"observed_at":"2026-08-07T11:34:27.827366Z","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":"2026-08-07T11:34:28.904370Z","title":"Takahashi, Wave effects in the gravitational lensing of gravitational waves from chirping binaries , 2004","venue":null,"work_id":"1ecadbd8-ba38-4256-aaca-bf28e7405d65","year":2004},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:27.410761Z"},"links":{"citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:882978427c428503baeb67475649eabc7cb8f413c5a0e133154db3c226f0f51e","observation_id":"5ee4e68d-690a-43e6-9310-e8ee8c3f3a8d","resolution":{"observed_at":"2026-08-07T11:34:29.012602Z","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":"2026-08-07T11:34:28.556581Z","title":"Schneider, J","venue":null,"work_id":"d281303d-29b5-463f-ba86-04deda9cecaf","year":2012},"citing_paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T11:34:27.534612Z"},"links":{"citing_paper":"/paper/2506.02430"},"observation_digest":"sha256:0ff0e2a2ca01245dc5d84334eb10be8725af4ff48fd05794a786ee6306547059","observation_id":"93da68b7-39b2-4df9-a8c0-dfbf683a2538","resolution":{"observed_at":"2026-08-07T11:34:28.779373Z","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"}}],"paper":{"arxiv_id":"2506.02430","last_updated":"2025-06-03T04:33:32Z","latest_version":1,"primary_category":"gr-qc","snapshot_observed_at":"2026-08-07T11:22:01.479909Z","submitted_at":"2025-06-03T04:33:32Z","title":"On the Phase-Magnitude Relation in Gravitational Lensing: Reformulation and Applications of the Kramers-Kronig relation"},"reference_resolution":{"displayed":17,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":12,"verified_exact":2,"verified_fuzzy":3},"total_outbound_references":17},"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 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2506.02430."}