{"as_of":"2026-08-09T20:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:61e7b2a30a4efe4e6c4d3b7af65f0cb02726c59ead3e731268a82e86dea5580e","coverage":[{"denominator":28,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":28,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-02T19:23:33.991576Z","state":"measured"},{"denominator":29,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":29,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-31T23:32:37.100962Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2603.02838","snapshot_observed_at":"2026-07-31T23:32:37.100962Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.27896","last_updated":"2026-07-30T09:12:46Z","snapshot_observed_at":"2026-08-07T14:27:59.341529Z","submitted_at":"2026-07-30T09:12:46Z","title":"A regulated zero-temperature construction of the Fundamental Modular Region in pure Yang--Mills theory and QCD","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-07-31T23:32:37.100962Z"},"links":{"cited_paper":"/paper/2603.02838","citing_paper":"/paper/2607.27896"},"observation_digest":"sha256:107a7adc46e9dac9516905533af4d1bf5b674200270b604541aa742c09d3cfed","observation_id":"c9376d6e-5878-4fd9-b3cf-c1fcdf749180","resolution":{"observed_at":"2026-07-31T23:32:37.100962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2603.02838/citation-record","integrity":"/paper/2603.02838/integrity","json":"/paper/2603.02838/citation-record.json","paper":"/paper/2603.02838"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-02T19:23:31.200696Z","title":null,"venue":null,"work_id":null,"year":1954},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.200696Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:60ed3971fbd03c394f635dbec871575f6d1cbe39a1ca95070f19ac96cab3c957","observation_id":"dde24ae4-2a4a-4486-a7d4-a66f90e36266","resolution":{"observed_at":"2026-08-02T19:23:31.200696Z","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":"2026-08-02T19:23:31.304997Z","title":null,"venue":null,"work_id":null,"year":1967},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.304997Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:f778a44c9704a16bea352f255353dede052a6dff9c7be929b02482ea45f9d460","observation_id":"c07c1514-5ea2-428c-a839-9d6e4ca4db4b","resolution":{"observed_at":"2026-08-02T19:23:31.304997Z","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":"2026-08-02T19:23:31.368146Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.368146Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:8c8e7f31fa32ccf1db5b74421143699d02bd40960cd153716367a7255c5a0568","observation_id":"54469cf9-5e4e-4df3-a3ba-65ee1a4dc207","resolution":{"observed_at":"2026-08-02T19:23:31.368146Z","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":"2026-08-02T19:23:31.436906Z","title":null,"venue":null,"work_id":null,"year":1978},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.436906Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:008fc81fe6d3bbcfe6eeac529496eba24186a63475ff165a5ae5a1fece3c87e1","observation_id":"3a35fa42-ffec-43e0-8219-39506708170b","resolution":{"observed_at":"2026-08-02T19:23:31.436906Z","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":"2026-08-02T19:23:31.486298Z","title":"Serreau and M","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.486298Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:3ae903e98a95879a44355e5742a0f5f070cdcc5107f56c313309dc60417974fc","observation_id":"536dff43-6dfe-421a-a4da-e381206ca8ec","resolution":{"observed_at":"2026-08-02T19:23:31.486298Z","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":"2026-08-02T19:23:31.595201Z","title":"Serreau, M","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.595201Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:a8b4e5cdaaadc7b8b5cf983dd92da7e4cb8d1d17e3600416b5ba0ee91e3c5f10","observation_id":"be1a6e7d-124e-44c8-9672-ece1930f8936","resolution":{"observed_at":"2026-08-02T19:23:31.595201Z","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":"2026-08-02T19:23:31.678226Z","title":"Gribov copies, avalanches and dynamic generation of a gluon mass.Physics Letters B, 784:146–150, September 2018","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.678226Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:3f8827a836e4bb9261fdf45561232f21c48ff748ae6c1f5d8494b14a2c42b84f","observation_id":"0d727bab-922d-49b8-bbe4-323385447b0b","resolution":{"observed_at":"2026-08-02T19:23:31.678226Z","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":"2026-08-02T19:23:31.815354Z","title":"Symmetry restoration and the gluon mass in the Landau gauge.SciPost Phys., 10(2):035, 2021","venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.815354Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:7ded3dfd7b3363a8d809f1a72930da045490c5a7f9dc7cf488b0f35d255e450b","observation_id":"07ecce69-59da-4f5c-b9e4-5d23ae7cd7df","resolution":{"observed_at":"2026-08-02T19:23:31.815354Z","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":"2026-08-02T19:23:31.929319Z","title":"Parisi and N","venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:31.929319Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:4f9cd521a8a6e5cc62c0806e909884176e0fa15521d05f795ca483b4b38c083f","observation_id":"a1b6e248-62a2-4b5b-b449-a1db64cd051a","resolution":{"observed_at":"2026-08-02T19:23:31.929319Z","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":"2026-08-02T19:23:32.053869Z","title":"Zwanziger","venue":null,"work_id":null,"year":1989},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.053869Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:df1cfe44c32476a298196161ce18686d43b986174e255866a4d6834ec1ee42b4","observation_id":"d0b00e8c-0840-456e-9ca1-a39e0c0eb8af","resolution":{"observed_at":"2026-08-02T19:23:32.053869Z","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":"2026-08-02T19:23:32.172779Z","title":"Zwanziger","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.172779Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:b6001808af815ad1d027a51cf7709b40b195a0fbb566b7af9b701c3b5b9ffe2f","observation_id":"a3cb0a1d-405e-4edf-bc6a-af3a1e98336c","resolution":{"observed_at":"2026-08-02T19:23:32.172779Z","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":"2026-08-02T19:23:32.292223Z","title":"Dudal, J","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.292223Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:726f8bd7886f768c5adf36187d6bfc73108e5b17f9b6babb31337a1f1a4e5829","observation_id":"0e90adb6-5406-4f0b-b88e-76652777ecf6","resolution":{"observed_at":"2026-08-02T19:23:32.292223Z","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":"2026-08-02T19:23:32.456595Z","title":"Dudal, S","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.456595Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:3f88c157d2659f299a5a4386a6689f0ececc84109f7288dabea50f5151283ad5","observation_id":"f8b2c76d-9dd5-4dae-ad9a-5086525e42a8","resolution":{"observed_at":"2026-08-02T19:23:32.456595Z","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":"2026-08-02T19:23:32.573819Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.573819Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:8d0b3a41105904fea7f269ddd6108c5cb8a7276535c76d7d35f22c313e8f5db4","observation_id":"b124a07a-39c6-4d39-8bde-444bc1efd753","resolution":{"observed_at":"2026-08-02T19:23:32.573819Z","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":"2026-08-02T19:23:32.628389Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.628389Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:ba1a72098f0a984757d00968a688f08f7ef74f003dc7fe41638ef42cd1e5e7a0","observation_id":"3675702a-64c8-489d-b76d-aa79496926cd","resolution":{"observed_at":"2026-08-02T19:23:32.628389Z","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":"2026-08-02T19:23:32.738283Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.738283Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:af33951511b02c37ebc7b2a46f07a31d73b49304504b1fc68cf6a603ba679c10","observation_id":"bd4c21fc-0c9c-4694-9108-83b5efedfc65","resolution":{"observed_at":"2026-08-02T19:23:32.738283Z","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":"2026-08-02T19:23:32.849946Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.849946Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:00997231aee2a5e71035841558d280fea691bae88cc1b9f8aee0ef9c12e1f2e8","observation_id":"b6c39912-4348-4101-92bc-c7f108c34231","resolution":{"observed_at":"2026-08-02T19:23:32.849946Z","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":"2026-08-02T19:23:32.968335Z","title":"Cucchieri and T","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:32.968335Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:091559b0958b14fae3d9254083b7384bfb295b457572220ec21aebf59be94ac2","observation_id":"7c7ddac3-0660-42ca-b5b0-51ec57d468b5","resolution":{"observed_at":"2026-08-02T19:23:32.968335Z","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":"2026-08-02T19:23:33.021201Z","title":"Dudal, O","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.021201Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:2ba70f5668299793b6a82dd5305c6d7aa4ecfda12e76ceed25d50bb73f5fea1e","observation_id":"3deffd64-785a-4551-9fb1-765ce97fe13e","resolution":{"observed_at":"2026-08-02T19:23:33.021201Z","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":"2026-08-02T19:23:33.200855Z","title":"Towards a unified viewpoint of gribov–zwanziger and serreau–tissier gauge fixing.Physics Letters B, page 140302, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.200855Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:303355e8ceadd777ca3622393d656550be9089fbb0b1187baac12d60d17534a8","observation_id":"eba9e421-2e7f-4fbd-aef3-a7ed3079775f","resolution":{"observed_at":"2026-08-02T19:23:33.200855Z","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":"2026-08-02T19:23:33.286963Z","title":"Tissier and N","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.286963Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:bf586c0758439ffa689bbdf9a9186316051ca06568f334e5431a350aaeb1f8f4","observation_id":"f15ded0e-4136-4fbd-bc17-614016a7b787","resolution":{"observed_at":"2026-08-02T19:23:33.286963Z","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":"2026-08-02T19:23:33.385276Z","title":"Tissier and N","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.385276Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:6c5d58d81c49c139bfb247fb63021c9759fcfa59c3c18cef4c7288c5f789ed6d","observation_id":"c6f82a07-477a-44f6-b4fa-dc5d294afb3c","resolution":{"observed_at":"2026-08-02T19:23:33.385276Z","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":"2026-08-02T19:23:33.481642Z","title":null,"venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.481642Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:9f84b4cfbbfe73b2bd463e62cbdb4e65629da84f9c898b3afe53439c0fc3b332","observation_id":"3b192a10-a2ea-49c6-8b9a-3bb45021c1ee","resolution":{"observed_at":"2026-08-02T19:23:33.481642Z","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":"2026-08-02T19:23:33.590552Z","title":"Ackley, Geoffrey E","venue":null,"work_id":null,"year":1985},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.590552Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:6908264659374ff85c811c5e3f0d1284a9811c3ef381f229d8c300aa5db492f4","observation_id":"dde0d8e5-9475-49a8-84a6-8d9d768ed290","resolution":{"observed_at":"2026-08-02T19:23:33.590552Z","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":"2026-08-02T19:23:33.650604Z","title":null,"venue":null,"work_id":null,"year":2003},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.650604Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:a4e1ea2d973c088e5abf0ce70bf819baec11c76a814411fa21051d283d2de92e","observation_id":"b49e22ce-c61e-4f89-8c9a-99a028fb4e56","resolution":{"observed_at":"2026-08-02T19:23:33.650604Z","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":"2026-08-02T19:23:33.774485Z","title":null,"venue":null,"work_id":null,"year":1957},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.774485Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:3ba4feca5b12c16404be7fb6c71013f3962d382142bebb5117841961b3a7d8c2","observation_id":"b1e1fb4d-3d5f-496c-be0f-a1a9cae74c1f","resolution":{"observed_at":"2026-08-02T19:23:33.774485Z","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":"2026-08-02T19:23:33.901716Z","title":"Calculation of partition functions.Phys","venue":null,"work_id":null,"year":1959},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.901716Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:c60b9818df941ed2e1f26f51bcd3c97389dca643f982f9fa02b860cc1e8a5161","observation_id":"f3f09172-b782-4591-a6a0-9a53677a0e03","resolution":{"observed_at":"2026-08-02T19:23:33.901716Z","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":"2026-08-02T19:23:33.991576Z","title":"Scale redundancy and soft gauge fixing in positively homogeneous neural networks, 2026","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-02T19:23:33.991576Z"},"links":{"citing_paper":"/paper/2603.02838"},"observation_digest":"sha256:141d457fad34be209bc112084d8b05603c1242acb0c2f5dab2c7434842c88e05","observation_id":"80c54b7f-9690-4a70-96cb-ee7c67e110de","resolution":{"observed_at":"2026-08-02T19:23:33.991576Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2603.02838","last_updated":"2026-06-23T08:49:42Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-07T22:16:34.754142Z","submitted_at":"2026-03-03T10:37:05Z","title":"Emergent Gribov horizon kernel from replica symmetry breaking in Yang--Mills theories"},"reference_resolution":{"displayed":28,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":28,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":28},"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 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2603.02838."}