{"as_of":"2026-08-13T18:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b8e936e129ca8801a9f3fc38abb7cf6825a830a0c66ae6dccede8c352c48d967","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-07-13T04:38:38.298749Z","state":"measured"},{"denominator":7,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":7,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2607.09213/citation-record","integrity":"/paper/2607.09213/integrity","json":"/paper/2607.09213/citation-record.json","paper":"/paper/2607.09213"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-07-13T04:38:38.298749Z","title":"Mori and K","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:38.298749Z"},"links":{"citing_paper":"/paper/2607.09213"},"observation_digest":"sha256:4c760527508c305e7b0dcde7b7d2c6a9b9ee9a2d8019a6d0a9a4cc05624e56a9","observation_id":"eb1db3e8-9c77-4d0d-97b6-c23c73cfdc67","resolution":{"observed_at":"2026-07-13T04:38:38.298749Z","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":"2026-07-13T04:38:38.298749Z","title":"Ponte-Casta˜ neda and J","venue":null,"work_id":null,"year":1995},"citing_paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:38.298749Z"},"links":{"citing_paper":"/paper/2607.09213"},"observation_digest":"sha256:eb995ea3d918209f05b3d234e5776e33fc5e94c7bd07b26bc0ff8043bbb693d3","observation_id":"cf47bc0f-a910-44ee-b951-1b8459d29c02","resolution":{"observed_at":"2026-07-13T04:38:38.298749Z","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":"2026-07-13T04:38:38.298749Z","title":"Walpole, Fourth-rank tensors of the thirty-two crystal classes: multiplication tables,Proceedings of the Royal Society of London","venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:38.298749Z"},"links":{"citing_paper":"/paper/2607.09213"},"observation_digest":"sha256:b855806c7906c57afd170997a65472143c0f98dd48032b279ed9a611850c126b","observation_id":"516a382e-61c3-4c6c-b204-aea2b77cc071","resolution":{"observed_at":"2026-07-13T04:38:38.298749Z","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":"2026-07-13T04:38:38.298749Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:38.298749Z"},"links":{"citing_paper":"/paper/2607.09213"},"observation_digest":"sha256:7b133d0481c39a49fff92612977d72c93316b802fe58a94c531881073754b138","observation_id":"c69b883d-e632-4148-9888-186f088ffca6","resolution":{"observed_at":"2026-07-13T04:38:38.298749Z","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":"2026-07-13T04:38:38.298749Z","title":"Ponte-Casta˜ neda and P","venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:38.298749Z"},"links":{"citing_paper":"/paper/2607.09213"},"observation_digest":"sha256:aa283e7bbb119020a12a1dfba7cdbff1febe4b29e4531d73fc79bfe4eadd340f","observation_id":"e50fea91-dde2-4ecb-bdce-95b923bbb35b","resolution":{"observed_at":"2026-07-13T04:38:38.298749Z","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":"2026-07-13T04:38:38.298749Z","title":"Kreher, Residual stresses and stored elastic energy.Journal of the Mechanics an Physics of Solids, 1990","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:38.298749Z"},"links":{"citing_paper":"/paper/2607.09213"},"observation_digest":"sha256:298e95a138b9a1b39b6eebb859d1979efc145bb85668454dbe264782c041125a","observation_id":"e4d2ffe1-7f9c-43c4-b19a-16036d9c1058","resolution":{"observed_at":"2026-07-13T04:38:38.298749Z","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":"2026-07-13T04:38:38.298749Z","title":"Suquet, Overall properties of Nonlinear Composites.IUTAM Symposium on Micromechanics of Plasticity and Damage of Multiphase Materials, 1996","venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-07-13T04:38:38.298749Z"},"links":{"citing_paper":"/paper/2607.09213"},"observation_digest":"sha256:baaa0d4c9fecd803605b19131b3cece8a55d4fdb06d65ff829a62547e3da7e98","observation_id":"3513a723-8098-4a0b-bd22-d47da919c9a9","resolution":{"observed_at":"2026-07-13T04:38:38.298749Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2607.09213","last_updated":"2026-07-10T09:02:35Z","latest_version":1,"primary_category":"physics.class-ph","snapshot_observed_at":"2026-08-13T18:05:25.160011Z","submitted_at":"2026-07-10T09:02:35Z","title":"Mean field homogenization schemes for composites with prolate and oblate spheroids: use of the orientation tensors and computation of the strain second-moments"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":7,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":7},"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":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 13 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2607.09213."}