{"as_of":"2026-08-13T04:38:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:aa6d849b364e1862b99df22fd7a0a9ac741858cca3e865f655d3e875225686fa","coverage":[{"denominator":11,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":11,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T23:28:03.747128Z","state":"measured"},{"denominator":11,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":11,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-12T06:34:41.77262+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/2607.15449/citation-record","integrity":"/paper/2607.15449/integrity","json":"/paper/2607.15449/citation-record.json","paper":"/paper/2607.15449"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:28:03.024630Z","title":"doi:10.18653/v1/P19-1452","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:03.024630Z"},"links":{"citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:b19975ce954fd1f1f52a2aff07e67689ed01ddcd5955d1e993693b6bb3cf9529","observation_id":"c4fe5e1e-68e5-471c-a5cb-241eed517bc0","resolution":{"observed_at":"2026-08-01T23:28:03.024630Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:28:03.185174Z","title":"doi:10.18653/v1/P19-1580","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:03.185174Z"},"links":{"citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:49be96fa1de98a05ebfa96fff0909613527ae239f6f180485ad7389b10f0a316","observation_id":"24dcdf06-20c1-4705-a927-2be778e4468e","resolution":{"observed_at":"2026-08-01T23:28:03.185174Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2605.14258","last_updated":"2026-05-14T01:57:47Z","snapshot_observed_at":"2026-08-11T12:20:21.339522Z","submitted_at":"2026-05-14T01:57:47Z","title":"Dynamics of the Transformer Residual Stream: Coupling Spectral Geometry to Network Topology","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2605.14258","snapshot_observed_at":"2026-08-01T23:28:03.496351Z","title":"Makkuva, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:03.496351Z"},"links":{"cited_paper":"/paper/2605.14258","citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:bfb5241c2c3b263f3c9ba12dcc878f34a9d9f2d8e81299546de3fbe6810dd48b","observation_id":"25e62a79-f800-413d-9fe2-de5f70c48f63","resolution":{"observed_at":"2026-08-01T23:28:03.496351Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:28:03.747128Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:03.747128Z"},"links":{"citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:ac5a83ccd0aca0b78842f45212b5eb247e6127034690a2bc31407ad14d2ae6ee","observation_id":"4564a83b-bb66-4146-b7b8-f72bb2e10802","resolution":{"observed_at":"2026-08-01T23:28:03.747128Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:28:03.292697Z","title":"26 Wilson, K","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":1971,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:03.292697Z"},"links":{"citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:8609ff856d3c65e6439a7d223d7d661402ae9f2ced26c9b0299be8bb6c46e241","observation_id":"908cd78d-7e28-4016-8a29-890f363684b9","resolution":{"observed_at":"2026-08-01T23:28:03.292697Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1301.3124","last_updated":"2013-03-13T17:54:51Z","snapshot_observed_at":"2026-07-06T03:03:59.965362Z","submitted_at":"2013-01-14T20:50:08Z","title":"Deep learning and the renormalization group","version":4},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1301.3124","snapshot_observed_at":"2026-08-01T23:28:02.365066Z","title":"25 Bordelon, B., Atanasov, A., and Pehlevan, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:02.365066Z"},"links":{"cited_paper":"/paper/1301.3124","citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:d86993136cea50e7b98dd9d5397d92d7246d02114cfde3911c939791ad945a01","observation_id":"15f475bd-afba-4108-94be-64a5e6865657","resolution":{"observed_at":"2026-08-01T23:28:02.365066Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1410.3831","last_updated":"2014-10-14T20:00:09Z","snapshot_observed_at":"2026-07-06T03:57:22.021017Z","submitted_at":"2014-10-14T20:00:09Z","title":"An exact mapping between the Variational Renormalization Group and Deep Learning","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1410.3831","snapshot_observed_at":"2026-08-01T23:28:02.891585Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:02.891585Z"},"links":{"cited_paper":"/paper/1410.3831","citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:7f4990816405083b90767cf749b9380a9f8ce6e4e1f63ac9b0705357df6020e4","observation_id":"f36b1b0f-ef68-4e7a-8d9e-b3de0a58c996","resolution":{"observed_at":"2026-08-01T23:28:02.891585Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1412.6980","last_updated":"2017-01-30T01:27:54Z","snapshot_observed_at":"2026-07-06T02:11:23.670680Z","submitted_at":"2014-12-22T13:54:29Z","title":"Adam: A Method for Stochastic Optimization","version":9},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1412.6980","snapshot_observed_at":"2026-08-01T23:28:02.662155Z","title":"Kornblith, S., Norouzi, M., Lee, H., and Hinton, G","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:02.662155Z"},"links":{"cited_paper":"/paper/1412.6980","citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:2d87ed3983d1ed1a5cf5edda6d81c5b78260e4d32dac467e9182651aa9848cfd","observation_id":"11bfb0e9-a70e-4321-b6f9-a3394a16f079","resolution":{"observed_at":"2026-08-01T23:28:02.662155Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:28:02.538259Z","title":"doi:10.18653/v1/W19-4828","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:02.538259Z"},"links":{"citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:bfe1ce9fd9beff24b9db7097f4a7203036f57d9006c082c3891475866c7d2167","observation_id":"8acbc5fd-5bb0-4e01-9ec7-d781b59e4923","resolution":{"observed_at":"2026-08-01T23:28:02.538259Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:28:02.435156Z","title":"Clark, K., Khandelwal, U., Levy, O., and Manning, C","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:02.435156Z"},"links":{"citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:9231380d73115a13731995b7598e29e6ee6ae0199bb98c2913c24dee3b4fb4da","observation_id":"b119862c-5db3-4329-98d4-96e032870a5a","resolution":{"observed_at":"2026-08-01T23:28:02.435156Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-01T23:28:02.251683Z","title":"B´ eny, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention","version":1},"reference_index":2026,"source":"pdf_text","source_observed_at":"2026-08-01T23:28:02.251683Z"},"links":{"citing_paper":"/paper/2607.15449"},"observation_digest":"sha256:eae40cde4336a0fbce43621b6d7d59ea30984bf9620446ce6a06556f4ebf6bf6","observation_id":"95441a8d-1d6a-4bd3-be8d-021c29561a40","resolution":{"observed_at":"2026-08-01T23:28:02.251683Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.15449","last_updated":"2026-07-16T20:42:02Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-06T16:28:00.476487Z","submitted_at":"2026-07-16T20:42:02Z","title":"Relevant and Irrelevant: A Renormalization Group Analysis of Transformer Attention"},"reference_resolution":{"displayed":11,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":11},"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":"2026-08-12T06:34:41.77262+00:00","source":"crossref"},{"observed_at":"2026-08-12T06:34:36.333875+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2607.15449."}