{"as_of":"2026-08-15T07:33:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:f05c8dba550b1dd5a0290971c6bf3ff8479cd8a8ee502a06e7fd618c54adad33","coverage":[{"denominator":44,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":44,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-24T02:26:49.471355Z","state":"measured"},{"denominator":45,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":45,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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":"2026-08-14T04:52:21.190118Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-14T04:52:21.675870Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"cited_work":{"arxiv_id":"2404.18422","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.18422","snapshot_observed_at":"2026-08-14T04:52:21.675870Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","venue":"math.FA","work_id":"fb017a21-ee81-4b75-bc64-7bea82961d94","year":2024},"citing_paper":{"arxiv_id":"2608.08404","last_updated":"2026-08-09T01:44:36Z","snapshot_observed_at":"2026-08-14T23:17:31.912996Z","submitted_at":"2026-08-09T01:44:36Z","title":"Lexicographic functional calculus and its application to functional calculus calculus","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T04:52:21.190118Z"},"links":{"cited_paper":"/paper/2404.18422","citing_paper":"/paper/2608.08404"},"observation_digest":"sha256:b89f6d02d4b536d00c1fafe81fa3018a9a45a9bf10182695e0be72d7648147b9","observation_id":"725bb6cb-cdaf-4f10-aed3-d6981e5a6819","resolution":{"observed_at":"2026-08-14T04:52:21.680750Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2404.18422/citation-record","integrity":"/paper/2404.18422/integrity","json":"/paper/2404.18422/citation-record.json","paper":"/paper/2404.18422"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"B., & Peller, V","venue":null,"work_id":"98d41689-13a3-465a-866a-e54254e349fe","year":2022},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:2b7391c4ec59a0d5c4824cd1f3cc5a844a1427ae0bc25d1575ee5c0431129e3a","observation_id":"304edf15-d5b2-4b9b-b11a-48056aa89cd3","resolution":{"observed_at":"2026-05-24T02:28:47.510530Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.01901","last_updated":"2025-03-17T10:07:27Z","snapshot_observed_at":"2026-08-12T22:08:29.777486Z","submitted_at":"2024-11-04T09:10:06Z","title":"Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions","version":2},"cited_work":{"arxiv_id":"2411.01901","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.01901","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"B., & Peller, V","venue":null,"work_id":"12e0213d-56ec-4e1d-a0e0-b85d47efbd1a","year":2024},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"cited_paper":"/paper/2411.01901","citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:6e4a99fc506cc67acd1816398dc113b0c9e378d3ca4606571d4cc4fee263c501","observation_id":"95fe2f07-6edf-4ecb-897f-15f7ac1c70c2","resolution":{"observed_at":"2026-05-24T02:28:46.035771Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e6a7d931-b228-4abf-a8df-fc418d437748","year":1992},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:4e9ac75f9148a6b9bdfc0b0b722facda74b388ed739caa869df7b8123edf1528","observation_id":"1704e8d8-55e1-4f12-97b9-932ebef3dbd0","resolution":{"observed_at":"2026-05-24T02:28:47.503361Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":"A., Carey , A","venue":null,"work_id":"a72f8dd8-d373-407e-afb5-5112db667c4d","year":2009},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:571e7d245ceeb09792a1ccf45e06744273c4743aa3f1b0f6218649e69b2d9f60","observation_id":"97ab0d11-7036-4633-a5a2-76acc423053b","resolution":{"observed_at":"2026-05-24T02:28:47.496428Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"982fa75d-c0bc-4366-aaf9-d86c472b4fa9","year":1966},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:84a61c20351351e41afa06c8b77ac5034721337559e734377c8f6edadf25c666","observation_id":"0a02e41a-f115-4c15-909b-68d674138e60","resolution":{"observed_at":"2026-05-24T02:28:47.500089Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"23da4c46-f5d6-4e89-a3e5-bbe64b57af4e","year":1968},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:223a50172c4cb21058b097d27c8f0bc262fb3a4f8ce29a9510e58c52f1e25d5e","observation_id":"dc4ea276-2803-41e7-821a-2397281bc731","resolution":{"observed_at":"2026-05-24T02:28:47.506817Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"20ac6f93-c58a-4216-b43a-27918509aa2d","year":1977},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:0c55f145a30ad0254ac90097f95ef988fff22ecacbd522a7a283a08b55941a6c","observation_id":"7015125e-0eea-4055-ad52-41cbbba6c8b9","resolution":{"observed_at":"2026-05-24T02:28:47.513985Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a62a8a1d-bd71-4ebd-9474-67b4467cd53e","year":2018},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:813c85552c470bfdb55adaf3b864a3ec91407a146e643154ef7f869948ddf64d","observation_id":"7afaa5b0-c604-4554-b87b-436ac4b9db67","resolution":{"observed_at":"2026-05-24T02:28:47.517499Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"bf44aed8-0659-494a-ae94-577c4dcaa49d","year":1990},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:adede8c09d7d5066967ffc3ca2a86a195a8464fa4c566b8d8a20a1333632b895","observation_id":"8dbb6c60-d612-4f21-8335-f33f2358f8b7","resolution":{"observed_at":"2026-05-24T02:28:47.533846Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f3920a4c-b96b-4c71-8a05-2e0b7b8ec7f1","year":1965},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:2daadb4a5f58e4ec4af45e61d60564f3500947783567f3340ef684120c94411e","observation_id":"2d3e7027-4755-4f37-8999-62e9c41aaefb","resolution":{"observed_at":"2026-05-24T02:28:47.485328Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"84b53a38-204e-4aaf-8841-51a6d25d7d3b","year":1988},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:683e656c2a16870ad6ca7a9a6e57c313740614818b94492f8e3d0e52a7b07039","observation_id":"d594f434-d9ca-4c32-88cc-93cccf96551d","resolution":{"observed_at":"2026-05-24T02:28:47.488487Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e913738e-8470-46ef-9212-29bffd1d2da4","year":1951},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:feb45d2eb4763911d7ddbeeeadf824f397ac430bb9634ccc6de5c1e869ef61d6","observation_id":"6b0344ab-3b67-4827-9dd4-34278e8825a1","resolution":{"observed_at":"2026-05-24T02:28:47.478601Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2410.14034","last_updated":"2024-10-17T21:14:20Z","snapshot_observed_at":"2026-08-15T06:44:47.132995Z","submitted_at":"2024-10-17T21:14:20Z","title":"Fermionic Dyson expansions and stochastic Duistermaat-Heckman localization on loop spaces","version":1},"cited_work":{"arxiv_id":"2410.14034","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2410.14034","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"& Miehe, J","venue":null,"work_id":"fa2a9fec-33e6-434b-a689-c03b2dd09ff1","year":2024},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"cited_paper":"/paper/2410.14034","citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:c7fa89cca95557faee7ae4382e19afa7bdb831ca799008fb223ff3591add4b68","observation_id":"d6ae64f6-f695-49c4-b53a-51e34c7bd453","resolution":{"observed_at":"2026-05-24T02:28:46.023111Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"7c905929-0d7f-44c7-8831-4582ebf41b8b","year":2006},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:e7dda391f0e72f48658a53ecc7901be3f4cd7394dbdbc59c20bab3bf907c0d92","observation_id":"08a8eb84-0a6d-4b0b-aed5-4cee4be00063","resolution":{"observed_at":"2026-05-24T02:28:47.468243Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16338","last_updated":"2024-04-25T05:07:16Z","snapshot_observed_at":"2026-08-13T00:22:36.010165Z","submitted_at":"2024-04-25T05:07:16Z","title":"Multiple operator integrals, pseudodifferential calculus, and asymptotic expansions","version":1},"cited_work":{"arxiv_id":"2404.16338","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2404.16338","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"25bf6b4b-0e5e-475e-bf39-5f71beaba076","year":2024},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"cited_paper":"/paper/2404.16338","citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:4e47954a00b8893297d6c8b33a47377ad0b73457150083e22513c84fcb9f5645","observation_id":"f96458fc-474e-44bb-b606-44a4aa8533e7","resolution":{"observed_at":"2026-05-24T02:28:46.015961Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"edede43b-f80f-43b0-8f90-ed6b130b3bbd","year":2012},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:1f9257f5bbf4ec6a0446ad8f223be9ec3373e2c127a6bfe3f319596917bb763e","observation_id":"7c9d30b0-0ee1-4908-9b9a-9aa7cb890748","resolution":{"observed_at":"2026-05-24T02:28:47.471390Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"463f6598-cd5f-4068-bf4c-9e46b241b7fb","year":2018},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:bded150d3d01fed4222d9cec868d895d8e7293ff2561a08d737ed43035f10193","observation_id":"8767bdc9-ec4a-4ad6-955b-f2e927b6d83b","resolution":{"observed_at":"2026-05-24T02:28:47.475032Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c572c245-a444-4ad0-93ea-121d4c30e3e1","year":1951},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:bc43b87b66c8e5c8cef47d9563c44750914cc8060924c6faedee32e0b2dac21f","observation_id":"20e9e400-7bc0-4920-a8c7-79da5d1bca21","resolution":{"observed_at":"2026-05-24T02:28:47.458640Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1cd199ca-4f93-4b9d-9e1d-49c00a372bd7","year":1995},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:768b3b73425d0606167d0a91ebdb8f6e4031d3a377e3db0834531dc106020f26","observation_id":"fdeb19dc-f3c0-469e-a4bf-95cbc1693c71","resolution":{"observed_at":"2026-05-24T02:28:47.461476Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"af48368d-870d-4d5d-a299-9da379401f7b","year":1984},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:33e032c719cea58f97135d2df151a24a2b3afeaf3e605d849190a40471a74220","observation_id":"46e0932d-5e6c-49ec-bf54-24b2e744007e","resolution":{"observed_at":"2026-05-24T02:28:47.465012Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"27c2d2ff-c65e-4f7e-a95c-9fc836ee8f0a","year":1953},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:8780bce00347dd36e4ff7622ba4f75fc9c628ddec3513fb9976454326ba02f7f","observation_id":"9f00be2a-06a3-458d-a89a-6ae702a3f265","resolution":{"observed_at":"2026-05-24T02:28:47.530807Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"33591caf-2e9f-4d0f-bd58-fb60c38b03a6","year":2017},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:f128b75ecf54abbc4c23b250cbf1573ffffbc9490c7d097824815864b4a62063","observation_id":"551c9e45-9134-42f9-bb59-ac146b662521","resolution":{"observed_at":"2026-05-24T02:28:47.424112Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"36b15e19-eca1-42af-b8e4-a0d38c39e21d","year":2020},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:4e7b4899ff36f924e2270ea11544be4bdbd78d679464a7c50b23edb7f6c59033","observation_id":"7d203f20-e967-4bf2-a499-05f1d186c8e9","resolution":{"observed_at":"2026-05-24T02:28:47.413712Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"783942d1-3aee-443a-9060-c167b9334b04","year":2022},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:15e353e84af8edfd3c2ae96424162f0101580d8201e186663127766d62732d7d","observation_id":"8cfe0156-5d9d-43ba-8ef1-489bf62a3caf","resolution":{"observed_at":"2026-05-24T02:28:47.417242Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4d37d572-47d7-4c33-b744-582a99489b46","year":2022},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:1cb2545cf44a752631cbbe30cbee9ef8a0a38b678c1f588fa628a4d53252947a","observation_id":"d0486144-f400-4739-8349-fad2c30c023d","resolution":{"observed_at":"2026-05-24T02:28:47.407168Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2211.03330","last_updated":"2022-11-15T23:59:36Z","snapshot_observed_at":"2026-08-13T13:48:26.424639Z","submitted_at":"2022-11-07T06:20:50Z","title":"Higher-order spectral shift function for resolvent comparable perturbations","version":2},"cited_work":{"arxiv_id":"2211.03330","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2211.03330","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"080b7de3-381d-47ff-b3b3-37a3587a9267","year":2022},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"cited_paper":"/paper/2211.03330","citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:d7ec6226e37a406f928c81eeeb4b299d76063df79f502ea628a02accf53c19e6","observation_id":"6b15ad8d-1010-4c07-93c4-5946bea06613","resolution":{"observed_at":"2026-05-24T02:28:46.029638Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a0b471ae-5e2f-497b-80b3-57a5c1501bf3","year":2021},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:96b28f904caaf2258be4038c3384ebe1457b3239739bc0458bc2c31f64920aa7","observation_id":"286159c3-4876-44b9-94aa-3a14cb4e4482","resolution":{"observed_at":"2026-05-24T02:28:47.410372Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"347423ed-9bea-4f2f-a2b8-a04984ad89f7","year":2022},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:b2b35248a94918df51315e32344a6c2b365c333ea87f39546c1e75599334841b","observation_id":"cfb5afe4-dba3-4ee3-86b3-ed3a85c5178a","resolution":{"observed_at":"2026-05-24T02:28:47.420718Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"3ce1a6f4-371c-4a3e-972d-1fc52ca04b6b","year":1971},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:ae30433696cfe5c7abcc83f8650be28ba809c954536c078a05ef9a7180215a2b","observation_id":"832cd170-a430-4e21-a536-b31d66ca4e0b","resolution":{"observed_at":"2026-05-24T02:28:47.482079Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"0714e210-dd72-4ffa-8935-db1d02502c2a","year":2006},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:86b28562f237974862767376226908139f904f5b0e3cefe2dfc4ee04cd7b58fb","observation_id":"1535ab37-7405-4e2e-8f9f-4ec861e3b855","resolution":{"observed_at":"2026-05-24T02:28:47.427697Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"66ad45ee-8791-407f-8d7a-d2aa6f2273f3","year":2009},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:05fe4073472e9a0564ec87ca7813d3e5b4880007a9cba856e86f4752ce1129fa","observation_id":"f732cdbf-4fb8-4df2-a24e-70b191b2381d","resolution":{"observed_at":"2026-05-24T02:28:47.452309Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":"(2013) Spectra l shift function of higher order","venue":null,"work_id":"c930fd4c-fe4d-42c2-bb63-5af582ec949d","year":2013},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:beac976776aefc0134dfcf8b8d92e307f3592baf32bd61aabc7d8f1e78e63575","observation_id":"62c2f15f-08b0-48b8-8d9b-d2499a5f91a9","resolution":{"observed_at":"2026-05-24T02:28:47.491975Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":"(1972) Methods of modern mathematical physics","venue":null,"work_id":"f82e65c0-e32d-48cd-86ac-f74ee0a0dd6f","year":1972},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:c94a6069671f6a0b78f836520e85158276309d02fbd887234418d64ec2926d2c","observation_id":"e91db284-a52d-403e-b5b1-806b53695970","resolution":{"observed_at":"2026-05-24T02:28:47.544958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1fc14a9d-0f4a-466b-baa9-6f675c0466d9","year":2004},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:ce38e5a69147ffa7c9269e2b8faff5d7c6cb5b7e4ead3d5255791c722ba4a5ba","observation_id":"3c8397f4-a3fb-4515-b992-e2c5609a5aa6","resolution":{"observed_at":"2026-05-24T02:28:47.523797Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e7196946-c1bb-4f92-af7f-1138c210cceb","year":2005},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:d7c2c3aba6846e7f6926ba1e13e2bb9a879922b8af01da454e76bfd0f8d0e5b4","observation_id":"84ef17be-836d-4b37-8bdf-41f90528ecc5","resolution":{"observed_at":"2026-05-24T02:28:47.527246Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"486184b1-3615-4217-8e4e-9a53a8465357","year":2014},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:d546687ca02cb010734cd13383b0189b59efc69b8d9bc5f415de467fe3133857","observation_id":"d037144c-0472-4c1a-8901-8e05153b1b6c","resolution":{"observed_at":"2026-05-24T02:28:47.537366Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"85e36ed8-4784-4289-bbee-8e41de35aaf5","year":2021},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:30256be79147aba65b84d42cae2b7de4edf538691caabad5c526b380581b4ef2","observation_id":"2357a979-f4e2-4c8c-83e6-92675d3fdb52","resolution":{"observed_at":"2026-05-24T02:28:47.540782Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a02e7c6e-9ebf-4d28-a0bb-2d77331e2d34","year":2019},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:ff40c0b569265495f00dc6fb52cabc098f2b26d4b0406d88f34f9b605353beee","observation_id":"52936d78-5800-40c1-a50d-843c927a80c3","resolution":{"observed_at":"2026-05-24T02:28:47.442243Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":"& Sten’kin, V","venue":null,"work_id":"b8d555a5-85f4-4593-89f0-4f71b8bf8a57","year":1971},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:1649674139fd8404a892c56d2ae078079ea27c0afacec4d4a67aae83fcfa17bc","observation_id":"0f1fd3ab-1659-44fc-b9c5-dd28338dc7c5","resolution":{"observed_at":"2026-05-24T02:28:47.445607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4481118d-8400-46b9-955a-4378668a1918","year":1977},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:5571013dbff0e4a09f2d99d7d3b7d36db41eedd4933e455ea9d0f3aa93658bef","observation_id":"d94017d0-440e-42bd-b1b0-0f9598a744df","resolution":{"observed_at":"2026-05-24T02:28:47.448871Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5465e3a6-c137-4944-bbdb-839c79ab5b33","year":2011},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:d5615f669b2ee0e671c61af3aac997778c6a8bc0d7d0020d5c2ad14f14335d98","observation_id":"6221b957-da0f-4eb4-a596-6c504d116bd5","resolution":{"observed_at":"2026-05-24T02:28:47.436488Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2e6f6161-cdcb-4358-b6dd-51c5a627a430","year":2023},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:a300d8ee4bb1c868dd1b2f4d3e2a4df1cd6ecfdd5f956aa5bbad01c2f8177339","observation_id":"211866de-a473-48ce-85bf-79a5e4c6f557","resolution":{"observed_at":"2026-05-24T02:28:47.439662Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"24d5bfe0-b5b5-42a1-b443-bc95da52b878","year":1992},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:d4e16fc7374db6e5249661efc64461576b71a4ef1a070f2f932b5d43a56e4a4f","observation_id":"1312cbb8-192e-4d95-8ee2-11f5cf6a6bc4","resolution":{"observed_at":"2026-05-24T02:28:47.455648Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a47b4486-b7b7-479b-b7b9-7eaea4560a59","year":2005},"citing_paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations","version":3},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-24T02:26:49.471355Z"},"links":{"citing_paper":"/paper/2404.18422"},"observation_digest":"sha256:794c5e900a4941cac9e6d881400bfebfc85a3ed565b8ab611106e8b9611f4645","observation_id":"f2b549c3-218c-40cc-a799-6bf769476855","resolution":{"observed_at":"2026-05-24T02:28:47.432677Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2404.18422","last_updated":"2026-04-14T18:40:29Z","latest_version":3,"primary_category":"math.FA","snapshot_observed_at":"2026-07-06T18:06:53.888474Z","submitted_at":"2024-04-29T04:41:16Z","title":"Differentiation, Taylor series, and all order spectral shift functions, for relatively bounded perturbations"},"reference_resolution":{"displayed":44,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":35,"verified_exact":4,"verified_fuzzy":5},"total_outbound_references":44},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2404.18422."}