{"as_of":"2026-08-13T16:23:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:59120bf9f0e6c01d78014cd9ce84cc3dbb2af74646d9da37b7abbd29cd0fee02","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":"2026-08-07T19:25:48.696946Z","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:db1dcbaa1c57a845cff4a6903ab81658e0abc9cfd28bb05ec63fda20382ea681","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":"2026-08-07T19:25:48.696946Z","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":"sha256:4c01c8010fdadf056f12e42ebd9582afa08a2ff0dc984944d308e9e720535728","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":"2026-08-07T19:25:48.696946Z","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:edd1a6e12e1a7dd4cf8a7e799f60cdd8b309f9f93d116e2c2d3fc5782184dd7c","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":"2026-08-07T19:25:48.696946Z","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":"sha256:9012e371609210047b1b1837d0fd723305ef5d641202c92842df140de3466d4f","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":"2026-08-07T19:25:48.696946Z","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":"sha256:940303f551fd32dee3545ab21f20dfa5531eb6d52559907970ca903f938e345f","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":"2026-08-07T19:25:48.696946Z","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:c9204fe18291470cd2f2876eee3008be1b8a0d4fd04221367ce3ebb35c018bb7","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":"2026-08-07T19:25:48.696946Z","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":"sha256:65772aad1d39ca1183d1b362ddfafaab4cbe809bd55f7e40455da16d11a792b4","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":"2026-08-07T19:25:48.696946Z","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."}