{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:OJCUAWP6JX3EC7WDIYJUUSXUC2","short_pith_number":"pith:OJCUAWP6","schema_version":"1.0","canonical_sha256":"72454059fe4df6417ec346134a4af416a1e662ba59fa8b534a77843bedfa7fd6","source":{"kind":"arxiv","id":"2506.01993","version":5},"attestation_state":"computed","paper":{"title":"A refinement of the Lorentz local field expression with impact on the Clausius-Mossotti and Lorentz-Lorenz models","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.hist-ph"],"primary_cat":"physics.optics","authors_text":"Anne-Jans Faber, Jeroen van Duivenbode, Reinoud Lavrijsen","submitted_at":"2025-05-18T23:47:20Z","abstract_excerpt":"In the 19th century Mossotti and Clausius developed an expression linking the electrical permittivity of a dielectric to the product of molecular polarizability and number density. Lorenz and Lorentz later extended this framework to encompass the refractive index of the dielectric. These classical expressions have proven remarkably successful in describing how permittivity and refractive index vary with number density, under the assumption that molecular polarizability remains relatively constant. While these models have stood the test of time and continue to offer valuable insights, their der"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.01993","kind":"arxiv","version":5},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"physics.optics","submitted_at":"2025-05-18T23:47:20Z","cross_cats_sorted":["physics.hist-ph"],"title_canon_sha256":"ed667a482e3465b52f7a9454dee9312334d92134352e56286a23f8264bf7776b","abstract_canon_sha256":"e442073e8428db8b787c8eea0f72e12db6595b61e5760f8f20fe38e9a8c78ff9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:34:08.854059Z","signature_b64":"GPVzHy4FkD35+3jNJQy/iCJxihYmI3KyXwxkwwEarLQPpY1EaSzFymXfrFnWMV0jcg7x9e6xaE2A77L1qeFjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"72454059fe4df6417ec346134a4af416a1e662ba59fa8b534a77843bedfa7fd6","last_reissued_at":"2026-07-05T11:34:08.853540Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:34:08.853540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A refinement of the Lorentz local field expression with impact on the Clausius-Mossotti and Lorentz-Lorenz models","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["physics.hist-ph"],"primary_cat":"physics.optics","authors_text":"Anne-Jans Faber, Jeroen van Duivenbode, Reinoud Lavrijsen","submitted_at":"2025-05-18T23:47:20Z","abstract_excerpt":"In the 19th century Mossotti and Clausius developed an expression linking the electrical permittivity of a dielectric to the product of molecular polarizability and number density. Lorenz and Lorentz later extended this framework to encompass the refractive index of the dielectric. These classical expressions have proven remarkably successful in describing how permittivity and refractive index vary with number density, under the assumption that molecular polarizability remains relatively constant. While these models have stood the test of time and continue to offer valuable insights, their der"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01993","kind":"arxiv","version":5},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.01993/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.01993","created_at":"2026-07-05T11:34:08.853595+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.01993v5","created_at":"2026-07-05T11:34:08.853595+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01993","created_at":"2026-07-05T11:34:08.853595+00:00"},{"alias_kind":"pith_short_12","alias_value":"OJCUAWP6JX3E","created_at":"2026-07-05T11:34:08.853595+00:00"},{"alias_kind":"pith_short_16","alias_value":"OJCUAWP6JX3EC7WD","created_at":"2026-07-05T11:34:08.853595+00:00"},{"alias_kind":"pith_short_8","alias_value":"OJCUAWP6","created_at":"2026-07-05T11:34:08.853595+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2","json":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2.json","graph_json":"https://pith.science/api/pith-number/OJCUAWP6JX3EC7WDIYJUUSXUC2/graph.json","events_json":"https://pith.science/api/pith-number/OJCUAWP6JX3EC7WDIYJUUSXUC2/events.json","paper":"https://pith.science/paper/OJCUAWP6"},"agent_actions":{"view_html":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2","download_json":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2.json","view_paper":"https://pith.science/paper/OJCUAWP6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.01993&json=true","fetch_graph":"https://pith.science/api/pith-number/OJCUAWP6JX3EC7WDIYJUUSXUC2/graph.json","fetch_events":"https://pith.science/api/pith-number/OJCUAWP6JX3EC7WDIYJUUSXUC2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2/action/storage_attestation","attest_author":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2/action/author_attestation","sign_citation":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2/action/citation_signature","submit_replication":"https://pith.science/pith/OJCUAWP6JX3EC7WDIYJUUSXUC2/action/replication_record"}},"created_at":"2026-07-05T11:34:08.853595+00:00","updated_at":"2026-07-05T11:34:08.853595+00:00"}