{"as_of":"2026-08-16T05:37:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:81f3581c58db669003d23903536f4106cff743490ff190ac3a4d16410143c500","coverage":[{"denominator":10,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":10,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T11:28:46.286672Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+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/1908.09178/citation-record","integrity":"/paper/1908.09178/integrity","json":"/paper/1908.09178/citation-record.json","paper":"/paper/1908.09178"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T11:28:46.477579Z","title":"Mack and V","venue":null,"work_id":"83249ae8-44c6-4c96-93fb-1acf65b40d4c","year":1979},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.240306Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:d0bb4d7bd95220076752b2aa36e907da5e58c95ab4a8426bdc8ab9faf1c87d68","observation_id":"9e901799-5fe4-4994-8abb-41d532b7478e","resolution":{"observed_at":"2026-08-14T11:28:46.482508Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.460441Z","title":"Weingarten, Phys","venue":null,"work_id":"4a717b27-7a43-4a14-8b79-04701f0dab78","year":1980},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.245748Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:35aba09f737b841bdb7564294a3540144284ed711a7c42f5d353eba4c05df452","observation_id":"081c4b18-8481-4416-a23d-3845e1ac45ef","resolution":{"observed_at":"2026-08-14T11:28:46.465924Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.445120Z","title":"Ginibre, Commun","venue":null,"work_id":"25a17d1e-6ea3-4f54-95c8-a278afdbfa9e","year":1970},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.250845Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:f4600ea474d4b3ebf311eb6611a86139a0fb6b2840a92514f5f8bcdd5262e761","observation_id":"b0c6a794-20e5-4c7a-812c-aaf43495bf3d","resolution":{"observed_at":"2026-08-14T11:28:46.449740Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.428410Z","title":"McBryan and T","venue":null,"work_id":"5248a9e7-eb79-4b2f-addd-62c02b2d6247","year":1977},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.255934Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:1770cff403dc2286bf1e2bb420677d7de0a8654a7145e0d455775620544e7306","observation_id":"73e8b022-25f0-4667-afa0-194d480163a3","resolution":{"observed_at":"2026-08-14T11:28:46.433969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.409022Z","title":"Bricmont, A","venue":null,"work_id":"d071f8e3-e2e3-4bd5-80de-60e98a9b41d6","year":1986},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.260971Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:99223e43dad5969a18e6c3c80f9323dc234fe5ecc198ae907cf48e4820960e11","observation_id":"cf0e94fe-4ad1-41f1-a31e-6b63036ac170","resolution":{"observed_at":"2026-08-14T11:28:46.414826Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.393321Z","title":"Durhuus and J","venue":null,"work_id":"7349162a-a1d9-4a07-8698-8660b6f6990c","year":1980},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.266249Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:e9dff1230d2d46f48980e14a200ea8e7ffa34f67832fe351c4decfe6d54cd91f","observation_id":"9487401c-cb46-40b3-8fb3-964ccb6cea37","resolution":{"observed_at":"2026-08-14T11:28:46.398174Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.377131Z","title":"Orland, Phys","venue":null,"work_id":"93c1f5ed-70b1-4bb2-9d6f-17355ac255ad","year":2005},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.272266Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:57824d46c5cdb559442b4d7a078f7a3a0c3c9e7fce36ed6f54012f67a26010c6","observation_id":"f9d8d2e8-565d-49f9-9fb2-bb808a47f318","resolution":{"observed_at":"2026-08-14T11:28:46.382504Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"hep-lat/0205028","last_updated":"2002-06-13T12:47:28Z","snapshot_observed_at":"2026-08-14T18:17:58.549657Z","submitted_at":"2002-05-30T23:50:13Z","title":"Griffiths Inequalities for some O(n) Classical Spin Models with $n\\ge 3$","version":2},"cited_work":{"arxiv_id":"hep-lat/0205028","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-lat/0205028","snapshot_observed_at":"2026-08-14T11:28:46.324616Z","title":"Griffiths Inequalities for some O(n) Classical Spin Models with $n\\ge 3$","venue":"hep-lat","work_id":"a3a6a951-3cc7-435e-a3b0-c7a9e88ce110","year":2002},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.276976Z"},"links":{"cited_paper":"/paper/hep-lat/0205028","citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:42fbf7a94cabff68f9b0499ea49251ef6fb9a595660f2e29caba62e7854957a9","observation_id":"303d543d-1e55-4e9e-af59-f313725e24ef","resolution":{"observed_at":"2026-08-14T11:28:46.331964Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.360624Z","title":"Fr¨ ohlich, R","venue":null,"work_id":"0682719a-20ae-4ffb-8501-e6c10143df12","year":1978},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.282063Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:e379c81f4ba44a7a6c3c3f6cf46eb837db077f74739c030fc06ad72562a23100","observation_id":"dc78009c-c3d2-4f89-bed1-25c9624b1dd8","resolution":{"observed_at":"2026-08-14T11:28:46.365392Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+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":"2026-08-14T11:28:46.343978Z","title":"Osterwalder and E","venue":null,"work_id":"37d99057-b314-4b8d-8955-6e8083a2eff6","year":1978},"citing_paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory","version":3},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T11:28:46.286672Z"},"links":{"citing_paper":"/paper/1908.09178"},"observation_digest":"sha256:7747f8ff0667bda48c26b2d0759ce5b87c070e609e96db1fae03c6f0591cd7a2","observation_id":"a26b8005-512d-473d-b8b0-414a7caa08c4","resolution":{"observed_at":"2026-08-14T11:28:46.348904Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.09178","last_updated":"2020-02-07T22:17:42Z","latest_version":3,"primary_category":"math-ph","snapshot_observed_at":"2026-08-16T03:25:44.462585Z","submitted_at":"2019-08-24T18:08:59Z","title":"Confinement for all couplings in a ${\\mathbb Z}_{2}$ lattice gauge theory"},"reference_resolution":{"displayed":10,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":9},"total_outbound_references":10},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.09178."}