{"as_of":"2026-08-08T12:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:a6726588e8f879006145b6b8508e21a555d33724801af3e6daadbc8935ec0b74","coverage":[{"denominator":14,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":14,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:14:07.619442Z","state":"measured"},{"denominator":14,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":14,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2507.01052/citation-record","integrity":"/paper/2507.01052/integrity","json":"/paper/2507.01052/citation-record.json","paper":"/paper/2507.01052"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:08.969799Z","title":null,"venue":null,"work_id":"045f3080-1aa8-4c88-babb-95d91506aeee","year":2016},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:06.601046Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:476cc77831fc200815103fe7fc4bf87df0f558d868afa311852c68c5537c3128","observation_id":"3215c7be-1b05-45f1-9d7f-8f18aa290e4b","resolution":{"observed_at":"2026-08-06T22:14:09.087824Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:08.791545Z","title":null,"venue":null,"work_id":"0fcbb0fa-4280-4248-a6e2-292069541d2c","year":2008},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:06.682366Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:1cf409945504322fe0435d1f5e2caaf1dd3a09297654c44937f726045af05c4a","observation_id":"59f46b27-a453-4e70-bdfa-a96e8682de1d","resolution":{"observed_at":"2026-08-06T22:14:08.869415Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:08.625036Z","title":"10, 104024","venue":null,"work_id":"b2978b22-a564-418a-b284-78005b748c1a","year":2024},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:06.761510Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:332eaa1a1815f5e54beb3ebf679da8ab9e1d804c2064c5fdef9744ed915cddf2","observation_id":"32dd0c9f-ce10-4243-bfc6-7807fa943416","resolution":{"observed_at":"2026-08-06T22:14:08.710375Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:08.459878Z","title":null,"venue":null,"work_id":"a8c308de-3064-41f7-a98c-c7044221c435","year":2017},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:06.856381Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:398a21fa5be70be4e02aa71b032a2f031517ab11542a07202c814de2eabf6da2","observation_id":"131a4d4d-cf30-4199-8341-3bbd920948f8","resolution":{"observed_at":"2026-08-06T22:14:08.527155Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1410.5401","last_updated":"2014-12-10T16:01:39Z","snapshot_observed_at":"2026-08-01T22:22:04.725773Z","submitted_at":"2014-10-20T19:28:26Z","title":"Neural Turing Machines","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.5401","snapshot_observed_at":"2026-08-06T22:14:06.941769Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:06.941769Z"},"links":{"cited_paper":"/paper/1410.5401","citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:ae0b278685794f56662961d3433b19e43b76552728d468083f3ff30245198245","observation_id":"27fc95a1-9e08-4219-aa72-3e52dd294d82","resolution":{"observed_at":"2026-08-06T22:14:06.941769Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:08.315006Z","title":"8, 2554–2558","venue":null,"work_id":"f55c3ae8-fd7e-4920-8757-83a91f91bd59","year":1982},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.028313Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:56fa25ce7b2304833bb0149689741ab8348c36faf079589065479fffee406257","observation_id":"0a3c16af-cef3-451f-b195-06425c9f92f9","resolution":{"observed_at":"2026-08-06T22:14:08.379903Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:08.151143Z","title":"Krotov and J","venue":null,"work_id":"79a59f1c-56b6-46ef-976a-d13eaf21c389","year":2019},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.125914Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:709fdea9b805b597cba6f44dd376eac771cc5581b817be83ada0315b0027969a","observation_id":"a5c35bd7-8506-4f39-9582-d3b9a998ea88","resolution":{"observed_at":"2026-08-06T22:14:08.223637Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:07.201270Z","title":"41, 11887–11892","venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.201270Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:34289b7567114b4afb216988c59f068230a53230b7db1ba2e5485f6ea246ced0","observation_id":"1ddf22bc-9af1-428d-855a-618f744d2b61","resolution":{"observed_at":"2026-08-06T22:14:07.201270Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.09038","last_updated":"2021-12-16T17:28:27Z","snapshot_observed_at":"2026-07-06T12:19:40.584963Z","submitted_at":"2021-12-16T17:28:27Z","title":"Hadron spin structure from lattice QCD","version":1},"cited_work":{"arxiv_id":"2112.09038","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.09038","snapshot_observed_at":"2026-08-06T22:14:07.721518Z","title":"Hadron spin structure from lattice QCD","venue":"hep-lat","work_id":"210d94ad-a5a3-475d-acc0-9b49564bd014","year":2021},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.282643Z"},"links":{"cited_paper":"/paper/2112.09038","citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:bf76ae7b0ec0462a007b80fafdca873d277ee824eb80bd5a679510b79625cdc0","observation_id":"946657d5-a267-43b7-9b5a-c40941af6810","resolution":{"observed_at":"2026-08-06T22:14:07.759336Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:08.011597Z","title":"Sukhbaatar, A","venue":null,"work_id":"a652aae2-1fbb-4d1e-8deb-5dd2a2063728","year":2015},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.359896Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:613b835b92df873e264bacca324184df4bc0b9effeb0b7854f5cdc3aab4ead01","observation_id":"e8da689f-58c3-4014-b09d-71b895d5f109","resolution":{"observed_at":"2026-08-06T22:14:08.077402Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2011.04006","last_updated":"2020-11-08T15:53:56Z","snapshot_observed_at":"2026-07-06T10:12:38.348940Z","submitted_at":"2020-11-08T15:53:56Z","title":"Long Range Arena: A Benchmark for Efficient Transformers","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2011.04006","snapshot_observed_at":"2026-08-06T22:14:07.419907Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.419907Z"},"links":{"cited_paper":"/paper/2011.04006","citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:88c54ffa1a86865d367402bedbaf760816e4934d98c85659cccea05e740c22a5","observation_id":"5eaa76de-b85e-46a3-920e-e1219fd4b19f","resolution":{"observed_at":"2026-08-06T22:14:07.419907Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2305.12345","last_updated":"2023-05-21T04:43:55Z","snapshot_observed_at":"2026-08-04T06:38:42.223602Z","submitted_at":"2023-05-21T04:43:55Z","title":"Overspinning a rotating black hole in semiclassical gravity with type-A trace anomaly","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2305.12345","snapshot_observed_at":"2026-08-06T22:14:07.484403Z","title":"Tran and S","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.484403Z"},"links":{"cited_paper":"/paper/2305.12345","citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:6042ce9e3ff5b6aa7de1870976d765affb38a8ceda278d9a8e04f0b770e4f6df","observation_id":"a4c0aed8-2fc8-416d-bc70-f3a251b35437","resolution":{"observed_at":"2026-08-06T22:14:07.484403Z","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":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:14:07.845708Z","title":null,"venue":null,"work_id":"304f8e0f-2d5e-4554-849f-7921aadd758c","year":2017},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.552229Z"},"links":{"citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:b7cbca3a6da0fb675eae1d8d505f11f967c92788a36f4f06cb0b6fbe5e149ad5","observation_id":"d0174af9-ab1a-46b7-83de-e0b58bb5d609","resolution":{"observed_at":"2026-08-06T22:14:07.929629Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1502.05698","last_updated":"2015-12-31T13:08:14Z","snapshot_observed_at":"2026-07-06T04:09:45.600447Z","submitted_at":"2015-02-19T20:46:10Z","title":"Towards AI-Complete Question Answering: A Set of Prerequisite Toy Tasks","version":10},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1502.05698","snapshot_observed_at":"2026-08-06T22:14:07.619442Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T22:14:07.619442Z"},"links":{"cited_paper":"/paper/1502.05698","citing_paper":"/paper/2507.01052"},"observation_digest":"sha256:9e3aaae44bc5eb75d4586db2089614a706a6e15383233d5e6cdbd42690ce9382","observation_id":"535e08dd-35e1-485e-86c2-13e378a2f3ea","resolution":{"observed_at":"2026-08-06T22:14:07.619442Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2507.01052","last_updated":"2025-06-27T15:57:58Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-06T22:03:53.198945Z","submitted_at":"2025-06-27T15:57:58Z","title":"Long-Sequence Memory with Temporal Kernels and Dense Hopfield Functionals"},"reference_resolution":{"displayed":14,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":9,"verified_exact":1,"verified_fuzzy":4},"total_outbound_references":14},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2507.01052."}