{"as_of":"2026-08-10T02:28:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:092ce2823f1fd31d1117a0c055c5339a3ef9e6c3e456b73dc1e1207a56a64a64","coverage":[{"denominator":21,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":21,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-14T12:22:03.447164Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2607.10356/citation-record","integrity":"/paper/2607.10356/integrity","json":"/paper/2607.10356/citation-record.json","paper":"/paper/2607.10356"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"and Priouret, P.Adaptive Algorithms and Stochastic Approxima- tion","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:fdf7d2abaa11eb0643f5d8eb5ab00f64c09b9a3221fb222494876da92f018868","observation_id":"1e8dac5c-da96-4959-b6b3-f972aa09b652","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:9967b4dcb631cd962a5cf32514778b8e768917e91febda98646751673acfcce7","observation_id":"c0b63940-181f-4487-93c0-28bba0aebd87","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:c4c8781eee6785a83de17e720c3dfe5fc4bcbb2123f12fb2e8892bcb15aed976","observation_id":"69cfe1e5-1c55-4a28-a0dd-7d4e5f438849","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:09a78a27bc1a12af66a3ec27dc0fd1a7a80d8e79a90c201a78432a274e0a6ea1","observation_id":"00d35a12-d553-47f4-90ef-a789ede566e3","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:41309e883ad2104c64f2f8ffa261dc7475830022cbc79e00d868a279603f0290","observation_id":"0ffc3317-f17d-4a1c-b864-706a19df5a50","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:4fd98bf5eee96ce23f933e890cb0de82ed6dd2d1ab677e11537e71600a44307a","observation_id":"97414295-57f2-4b4a-8127-6ecc80849584","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:e15ff3c1ad1e6d308f541edff3db857dfa7f4c98bf0c60cce7bf3c9216a9feeb","observation_id":"0dccb54a-282c-41a6-b0f9-642228c683c3","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"On stochastic approximation.Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, 39–55, 1956","venue":null,"work_id":null,"year":1956},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:6e9206a1ea548931687c96a32021acdc3b220ffc8ec9d7a4f6c21e57a743efb7","observation_id":"062abd7e-6b98-476d-b7e2-9bf7cc821689","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":1965},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:32368319524ec74f1ae1dae3104cfe4d09a63befd04a1766387cb303610c67d6","observation_id":"6e5a527c-6d38-4d3d-989c-935bfcfb7b3b","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"Probability in Banach SpaceEcole d’Ete de Probabilites de Saint-Flour VI, 1976Lecture Notes in Mathematics, 598, 1977","venue":null,"work_id":null,"year":1977},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:08f1da273cdf49d047c6d8a8cbcd1486fa5f7985c8b61ddefe4793a8cfcfd876","observation_id":"81cc85f7-45f6-4800-9a83-a5ab89be220a","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":1994},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:69e7ad10c19184d35a0a3f05d5daca6dd833eb8c2047eb483457afaa14c1a0c6","observation_id":"e3eee3a2-7c19-4211-a357-58f251944029","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"and Wolfowitz, J","venue":null,"work_id":null,"year":1952},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:6bfa0dc13af23e97bc5a6e1b7181603f6e46065bfd9f0d11d2d366bdd83c7a67","observation_id":"78aea529-5335-48b2-9c28-15399dbc1f65","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"and Rao, B","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:d658df106534fefb950b2d72dd3f1c21a4f7ceb690c00a168dd19f9fb0192467","observation_id":"260c9e1a-1786-4cb2-baa6-ff4b06dbb967","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2109.03445","last_updated":"2025-09-09T16:45:32Z","snapshot_observed_at":"2026-08-06T12:16:58.355420Z","submitted_at":"2021-09-08T06:06:28Z","title":"Convergence of Batch Asynchronous Stochastic Approximation With Applications to Reinforcement Learning","version":7},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2109.03445","snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"and Vidyasagar, M","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"cited_paper":"/paper/2109.03445","citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:ae5d8aa7c5b7b490210bd69eb52814b51b037df8cbdb84971c48dd2877a05a29","observation_id":"caeea277-0329-4ed6-8779-6453ecd41a60","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2312.02828","last_updated":"2024-09-23T17:22:41Z","snapshot_observed_at":"2026-07-06T16:57:13.744607Z","submitted_at":"2023-12-05T15:22:39Z","title":"Convergence Rates for Stochastic Approximation: Biased Noise with Unbounded Variance, and Applications","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2312.02828","snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"cited_paper":"/paper/2312.02828","citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:cf08761275f17c81eca7c7c8840cc5da21eb04347cc7f45e5199fd037b30d599","observation_id":"bbdffba2-cf31-4f28-b176-dd570c6f5d3b","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:d21c7cceef40aa0f6701a142a2f0ed2a0ef8054b21a1e7a758b1b6986dbc32f7","observation_id":"de7b4a46-271c-4469-95f3-2ff01975473c","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:c4113a08f9cd0fca989f5a8ffba439d27960d82d5a9adbc29476f8ff6e7d0dac","observation_id":"c3694b2b-da8d-409a-abfc-99bb2fcd1c2c","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:febb7d3a96adba977c50e75ac874d86cbfcaad300f9ecda3936fefe01089a7df","observation_id":"de4f7bfa-2d4a-4e3f-9e13-83fc5803d4e1","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"and Monro, S","venue":null,"work_id":null,"year":1951},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:00b52095312388b68412f817983f4cc6434beaf7ae9eebe66c4ec936f7de4eeb","observation_id":"40b6b4ca-7a4d-44ba-a716-806eaa854cf1","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"and Siegmund, D","venue":null,"work_id":null,"year":1971},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:4b0db0507fbaff73d96c30dc5e5c08f382a0af5a244a4e30464851204db10c7f","observation_id":"9ff6e4ba-8aae-4daa-a34a-98b96f3fe21e","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-14T12:22:03.447164Z","title":"Stochastic approximation.Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability.587–609, 1960","venue":null,"work_id":null,"year":1960},"citing_paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-07-14T12:22:03.447164Z"},"links":{"citing_paper":"/paper/2607.10356"},"observation_digest":"sha256:3b465e8d70be0f0a0ba6f8f266272dcf5dd9b6936a1a0ade2c40e819ab2cfa37","observation_id":"12ed0d5e-18fb-4854-a96a-f157f1f4a4c9","resolution":{"observed_at":"2026-07-14T12:22:03.447164Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.10356","last_updated":"2026-07-11T15:29:31Z","latest_version":1,"primary_category":"math.PR","snapshot_observed_at":"2026-07-16T23:18:19.787823Z","submitted_at":"2026-07-11T15:29:31Z","title":"Stochastic Approximation in Banach Spaces Without Geometric Constraints"},"reference_resolution":{"displayed":21,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":21,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":21},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.10356."}