{"as_of":"2026-08-04T03:07:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1c8cdd1e0dad88f53a2f6f3d6c42852d7991923fb360809c2be5a031023c49ed","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-10T15:49:57.253058Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-03T06:30:56.289259+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-29T19:08:34.860153Z","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":"2026-07-02T15:57:07.026619Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"cited_work":{"arxiv_id":"2605.01182","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.01182","snapshot_observed_at":"2026-07-02T15:57:07.026619Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","venue":"math.CT","work_id":"a1a6daf1-0e6b-4ed6-a237-79d729f2f201","year":2026},"citing_paper":{"arxiv_id":"2605.26345","last_updated":"2026-05-25T21:39:03Z","snapshot_observed_at":"2026-07-06T23:36:11.031436Z","submitted_at":"2026-05-25T21:39:03Z","title":"Interaction Residues and Localized Spectral Defects in Stratified Operadic Systems","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-29T19:08:34.860153Z"},"links":{"cited_paper":"/paper/2605.01182","citing_paper":"/paper/2605.26345"},"observation_digest":"sha256:f9ef64be4029f63c5da2022066db114cd99eb8b99135019eeceaf89ef59f6a57","observation_id":"b2363da5-5810-4303-af69-2481b12aaf64","resolution":{"observed_at":"2026-06-29T19:13:52.649375Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"cited_work":{"arxiv_id":"2605.01182","doi":null,"metadata_source":"pith","pith_arxiv_id":"2605.01182","snapshot_observed_at":"2026-07-02T15:57:07.026619Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","venue":"math.CT","work_id":"a1a6daf1-0e6b-4ed6-a237-79d729f2f201","year":2026},"citing_paper":{"arxiv_id":"2606.05524","last_updated":"2026-06-04T00:06:59Z","snapshot_observed_at":"2026-07-06T23:45:33.157370Z","submitted_at":"2026-06-04T00:06:59Z","title":"A Universal Theory of Spectral Propagation for Compositional Operator Networks","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-27T23:12:36.161873Z"},"links":{"cited_paper":"/paper/2605.01182","citing_paper":"/paper/2606.05524"},"observation_digest":"sha256:ab6f4b53e462206de3032542f064de7038dc280a09059230ee28047b7a001d0d","observation_id":"270d1c66-67dc-4c7d-8976-b5016cc0cccc","resolution":{"observed_at":"2026-07-02T15:57:07.028754Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2605.01182/citation-record","integrity":"/paper/2605.01182/integrity","json":"/paper/2605.01182/citation-record.json","paper":"/paper/2605.01182"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2604.16594","last_updated":"2026-04-17T17:58:18Z","snapshot_observed_at":"2026-07-06T23:03:52.631613Z","submitted_at":"2026-04-17T17:58:18Z","title":"The Operadic Spectrum and Obstructions to Spectral Base Change","version":1},"cited_work":{"arxiv_id":"2604.16594","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.16594","snapshot_observed_at":"2026-07-02T15:57:07.022322Z","title":"The Operadic Spectrum and Obstructions to Spectral Base Change","venue":"math.CT","work_id":"6d24a7b8-92a5-476a-adac-27416ac94c21","year":2026},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"cited_paper":"/paper/2604.16594","citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:b1f326495a3cc47e7c6fe04229a031e26d35b5cf8873f0af10a0f62aa5de81bb","observation_id":"4ba9a225-ba14-4898-9e19-32c3de448105","resolution":{"observed_at":"2026-05-11T09:50:58.147174Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Calculus I: The first derivative of a homotopy functor","venue":null,"work_id":"1c88d97e-a057-4a44-affb-59bf98f06f87","year":1991},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:6ded9b3040de323b3a60d068d29241ca578dc7c3b0af9e438b3372bd4200defd","observation_id":"bb31c88d-6434-4aaf-9354-75b403cc3da9","resolution":{"observed_at":"2026-05-17T18:32:03.359969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Calculus II: Analytic functors","venue":null,"work_id":"d81a399f-0cac-4ac0-b645-fbde1d1443d8","year":1992},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:f9d5750083dd182d70596134976c5e8e00ea9d23969e1b1b5516aab265be03a7","observation_id":"b754d3e8-4a44-4c90-aac6-5aa50b3b5a7d","resolution":{"observed_at":"2026-05-17T18:32:03.451177Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Calculus III: Taylor series","venue":null,"work_id":"1afb99d6-e433-467f-8b53-a5635d8f7cd8","year":2003},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:b7c936441cf03a7cabaa639cf8d2629d2b0bca8127f7b99540798beba0bb2034","observation_id":"d7a12e46-0e8f-4eaa-904a-284e99580a32","resolution":{"observed_at":"2026-05-17T18:32:03.425958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Operads and chain rules for the calculus of functors","venue":null,"work_id":"81b6852c-23a4-4eb0-8bac-24b4bf15ec4f","year":2011},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:12b61e31bb56ce4624ba6b6f516446476f8a7e2479131c5402eac6e299d6a173","observation_id":"173dc4bc-77a0-4369-8b2d-bafe05a2018c","resolution":{"observed_at":"2026-05-17T18:32:03.366188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"The homotopy calculus of functors","venue":null,"work_id":"284e80e9-6894-455f-92ef-999476288746","year":1980},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:c536adc3ac5e3fced6a7b4ebc3287541ca6fd9b3ba8fd939eba9d0ef940edf67","observation_id":"4acf48c9-8779-4321-96c6-7c92f593ed16","resolution":{"observed_at":"2026-05-17T18:32:03.432966Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Orthogonal calculus","venue":null,"work_id":"9c70aa0d-e65c-480e-9590-9e5476a79d48","year":1995},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:628792a03d3a02477e47cb44721ab2829ec2710ba2bca1d07eba571b8404c8ff","observation_id":"e2ae2f75-d542-4711-9c0a-28d043cdcbe9","resolution":{"observed_at":"2026-05-17T18:32:03.368859Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Derivatives of homotopy functors","venue":null,"work_id":"625ed86b-7e84-42d3-b227-84251a9abb5b","year":2004},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:a89dbb5ab1cf7430fc7bf205f317982798bac0900ea75109640b81b521b2d288","observation_id":"d4cf8bcf-a7f7-4e6b-9405-d605d7dd555c","resolution":{"observed_at":"2026-05-17T18:32:03.436166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Calculus of functors and the Goodwillie tower of the identity","venue":null,"work_id":"bb7cb53e-391c-4768-8522-6df1fc5b2603","year":2008},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:413d5d5491b2396455d212ca5e626ab4254da622ba44a8bb2d89df3c26b3887c","observation_id":"e7ce8e43-a982-4370-a436-4d6f4cfae049","resolution":{"observed_at":"2026-05-17T18:32:03.343574Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Derivatives of the identity and the bar construction","venue":null,"work_id":"4ace1b4c-4437-4180-b481-4b731f2adf5b","year":2011},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:bb40311f17a9186f80544895818e05a6d9cceb4d1c3cb6afa2636b532310f8a9","observation_id":"c83d2805-1403-448b-9c4e-36ebba7f26e0","resolution":{"observed_at":"2026-05-17T18:32:03.464135Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Goodwillie calculus and the calculus of functors: A survey","venue":null,"work_id":"9ef623e2-6a60-4d8e-9c06-df15263d9c89","year":2020},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:81ea03b2ab627446c0664d82158fbe34b30eb92b788b7411d7042331e246163b","observation_id":"5a7db900-da47-4a73-b93d-aead2cc910d5","resolution":{"observed_at":"2026-05-17T18:32:03.440026Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Normierte Ringe","venue":null,"work_id":"b19bf9c3-9be9-4211-98a4-ca4aaea96a73","year":1941},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:84aeb3113705936b6a561af3ecc462cc9a99df2e88527989a48851201e923f92","observation_id":"11c70299-b460-44a5-8e12-9127c2752648","resolution":{"observed_at":"2026-05-17T18:32:03.353502Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"On the imbedding of normed rings into the ring of operators in Hilbert space","venue":null,"work_id":"579cb48c-37c2-4eb8-bc11-a59e255e237c","year":1943},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:3244a3e36c010a271d91f391e250726dac25f931256f841c8e5add7002aa485c","observation_id":"2a5a3393-99ca-49ff-9595-0d1f1b3f17ab","resolution":{"observed_at":"2026-05-17T18:32:03.410302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Dixmier,Les C*-alg `ebres et leurs repr´esentations, Gauthier-Villars","venue":null,"work_id":"187ea4de-2b00-4ec6-ab88-5033d7bf089b","year":1957},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:664588ffce075725eb174757606cd61803d37895a8ff5dfc59813664370c58c0","observation_id":"00a0375e-fa96-4bfc-9d1c-1314e198ccc5","resolution":{"observed_at":"2026-05-17T18:32:03.406898Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Blackadar,K-Theory for Operator Algebras, Springer","venue":null,"work_id":"438331b5-5f9e-4b23-b4a2-926ac000a135","year":1986},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:2e1c25e4092eda2df51c86ced1cae6ca3e2b9412b7cfeb1dd3be2fd18c0e0876","observation_id":"0a2a8681-d148-4dc1-a42b-2e341492dcb8","resolution":{"observed_at":"2026-05-17T18:32:03.414371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"89b51369-456d-41e3-b1ac-a0f954ee5827","year":1990},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:7d09a7cd4a200b148f9a9f7b4e31d7ad8fd6c8acfb355b2dc8f786dc9b395280","observation_id":"32dec6e4-cd2d-4d07-9151-dd5bdf2cf416","resolution":{"observed_at":"2026-05-17T18:32:03.447798Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Rudin,Functional Analysis, McGraw-Hill","venue":null,"work_id":"d265b4c7-cac4-442c-8a1a-9abf472fedd5","year":1991},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:6ccc07c800de6dfb4d349af7eb4495a77c36e8346f7a2785137c135521fe61b3","observation_id":"79e307f9-5640-4e98-8b99-9eada751a041","resolution":{"observed_at":"2026-05-17T18:32:03.347039Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"884552c8-c167-4626-a26b-af3d2729c766","year":1998},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:9f5ff931ff4f1319f2043e74ba4dd5652ebf08f2a599c64f080b51afbce10133","observation_id":"4e3254bb-830f-4255-b3d3-a77a29f206ee","resolution":{"observed_at":"2026-05-17T18:32:03.403705Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"On the cohomology groups of an associative algebra","venue":null,"work_id":"895d407a-0cf5-4656-848c-6c008056f93a","year":1945},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:197071b25c7eee940201b7bba9fc9dc97865d04768ff5564d2da6b08e0cad5e7","observation_id":"b0b8634d-0d6c-4bc7-88ea-c1acd04d3453","resolution":{"observed_at":"2026-05-17T18:32:03.350392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Loday,Cyclic Homology, Springer","venue":null,"work_id":"bc04b905-56aa-48d7-886f-e9084a269a98","year":1992},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:49354d0b033fe598b66351bd721fa5c44045501ebcfebc6b988acb958f6b9940","observation_id":"7c53b35d-f98f-484d-a799-cad08ca4869b","resolution":{"observed_at":"2026-05-17T18:32:03.429726Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Weibel,An Introduction to Homological Algebra, Cambridge University Press","venue":null,"work_id":"0f17c0f8-db34-4875-88d2-a27dec8c4825","year":1994},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:1d8b3085bf6a1c6ae9dcf5533dd756559b3dfb59f8da518a7779d0f8956b83cb","observation_id":"f6b49b98-d4cb-40a5-be37-955dfcff3f23","resolution":{"observed_at":"2026-05-17T18:32:03.356941Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Loday and B","venue":null,"work_id":"442326ac-bcbf-4b73-9530-23884fd7f984","year":2012},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:c39729c9c452447788cf6ab9cda75604b451c5f294d36b79225eaf42e75ba90a","observation_id":"e4c9449c-32a3-459b-a9a2-63fb4d8c8995","resolution":{"observed_at":"2026-05-17T18:32:03.391729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"On the deformation of rings and algebras","venue":null,"work_id":"c65b6b7c-1c0c-4329-afd5-31ef95a9b133","year":1964},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:b41a876b187f2617c25908cc3b185c56bf897b878ac7b4848122ef6f09c22d8d","observation_id":"bf5b535a-09a3-4aaa-bedb-2edee60db1bd","resolution":{"observed_at":"2026-05-17T18:32:03.394687Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Deformation quantization of Poisson manifolds","venue":null,"work_id":"2fc0c7f5-131c-46f9-9ab1-a73cdada25b8","year":2003},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:05b6dd8c6f626c8bfc8cbcd935ad013af7391ff2e8a3057e71edc8341d479485","observation_id":"c8355a34-2fa2-407c-891b-4a455c9e9151","resolution":{"observed_at":"2026-05-17T18:32:03.454413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Derived deformation theory","venue":null,"work_id":"90442376-6132-42d5-b666-4368c06a0674","year":1997},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:01189942be2f1ead8fd4650e83ef6f8262f631c926f6e1a0e5b59319696a9337","observation_id":"e2f24ea1-0085-4da8-ba34-46fd12d1cdec","resolution":{"observed_at":"2026-05-17T18:32:03.457430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"12752ba6-0185-4967-8096-d89609102861","year":1972},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:863dadfca09063740113902df3cf9de86a7292d9e58c72d7740990ad1c7b8c69","observation_id":"20d146d0-d87b-4c77-927d-cd47954f9a1b","resolution":{"observed_at":"2026-05-17T18:32:03.374925Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"586a39cc-3321-4d3d-ac21-68116e245aba","year":1973},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:94888caaffba366e9b33824e9e15cb1a572df772713257ef9675097ee688bd55","observation_id":"37859b9c-68e7-4a3e-af7a-c4b62108168a","resolution":{"observed_at":"2026-05-17T18:32:03.371811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Operads and PROPs","venue":null,"work_id":"bd1e4b89-b1e5-4931-a741-5e67eff81432","year":1996},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:3fdcdab4d2538bf46a0268d8ba762792883dbbf2e30f39582a931a18341c7f05","observation_id":"f6e91670-0249-4cb1-83a6-0f957242b8bd","resolution":{"observed_at":"2026-05-17T18:32:03.460445Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Markl, S","venue":null,"work_id":"084285bb-fa57-4d7e-b2c5-bb9f6fb429cf","year":2002},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:38b8f36afbb6fdc94a541a9b5b19b9c4c2105d3ee8c239432b584666335234d2","observation_id":"1320ecab-9bb1-4f8d-a4ec-e44b77e94b82","resolution":{"observed_at":"2026-05-17T18:32:03.362803Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Lurie,Higher Topos Theory, Princeton University Press","venue":null,"work_id":"b569ed6e-9651-45de-a951-c26d3eeeec98","year":2009},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:d141834e71666ec1e48060f7129eef8bb8feab77dee366e7738c5ea3238a3774","observation_id":"cad55152-8231-47de-a4ac-f445cb870a74","resolution":{"observed_at":"2026-05-17T18:32:03.388546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Lurie,Higher Algebra, preprint","venue":null,"work_id":"cd2c4cc8-9199-4839-937e-bebd4c6b39fa","year":2017},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:906d1fbc4efb0df6680e367c37370a20c1a1befb5dfa61a60a781c308dcc25ac","observation_id":"eb72c843-550c-4434-8bed-67040e6cab20","resolution":{"observed_at":"2026-05-17T18:32:03.397879Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Invariants of algebraic curves and topological recursion","venue":null,"work_id":"94d1e0e8-6cce-47e3-b7e7-8605f86d34ca","year":2007},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:82ba0a7568bcdb52c9b1bb328ab77c9efba271742ab60ce9ac45bb15c1153959","observation_id":"6d53500a-abf9-4ef1-a9e1-45a9b73fb1af","resolution":{"observed_at":"2026-05-17T18:32:03.385307Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Topological recursion and geometry","venue":null,"work_id":"97fe6a17-27bf-44a2-a828-c34368c92927","year":2014},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:47f4987c59bd39b8b8578c88acbdc20c67f92bc2b0a529308854fbd455f58d6d","observation_id":"34c2af8c-a2f5-48b1-9ae8-1342a8f61291","resolution":{"observed_at":"2026-05-17T18:32:03.381846Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"Hermitian matrix model free energy: Feynman graph expansion","venue":null,"work_id":"cf1eaa33-9f46-44dd-9012-6d8761de0935","year":2006},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:308ad90b6bed474609006dfcc1f499b1675d9c17a805b4776ee9d60c2cf484d6","observation_id":"56043b38-3aca-40cc-b835-4335fe4dd4c2","resolution":{"observed_at":"2026-05-17T18:32:03.443789Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"The Goodwillie tower of the identity and the unstable Adams spectral sequence","venue":null,"work_id":"08c3ea7c-8033-46c3-874c-2dfee368ea15","year":2015},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:ec0cc98b85318546308eef5d82fe8a162ee61b019bc3df9c71b716802ce11b2d","observation_id":"c33e8f8e-d03a-41a4-85f8-8d52065a3608","resolution":{"observed_at":"2026-05-17T18:32:03.378244Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"ChatGPT (Mar 2025 version)","venue":null,"work_id":"deb75b3f-5f90-4050-b806-260d72295f72","year":2025},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:8ddb64a4db7ac87b042723acb43dfd25e07d9bb874397dc0a125bc033292eef7","observation_id":"48fbad70-86a5-44e8-bc5d-026d5e1db587","resolution":{"observed_at":"2026-05-17T18:32:03.400754Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+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":"DeepSeek (Feb 2025 version)","venue":null,"work_id":"4cb41028-a867-4dbf-a556-bc89b4c321d3","year":2025},"citing_paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-10T15:49:57.253058Z"},"links":{"citing_paper":"/paper/2605.01182"},"observation_digest":"sha256:f97161af417337d64c5fc939b38bd0f44c0478ce12cddeffd64a792fda6e1f16","observation_id":"8bb69467-106a-473e-beb3-183a34c9f57e","resolution":{"observed_at":"2026-05-17T18:32:03.421723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2605.01182","last_updated":"2026-05-02T01:17:48Z","latest_version":1,"primary_category":"math.CT","snapshot_observed_at":"2026-07-06T23:14:29.125042Z","submitted_at":"2026-05-02T01:17:48Z","title":"Spectral Operadic Calculus: Norm-Analytic Functor Calculus"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":32},"total_outbound_references":37},"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":"2026-08-03T06:30:56.289259+00:00","source":"crossref"},{"observed_at":"2026-08-03T06:30:50.922721+00:00","source":"retraction_watch"}],"thesis":"As of 4 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2605.01182."}