{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DONZ5WXQVHK6QTTEPY3W4YYJA6","short_pith_number":"pith:DONZ5WXQ","schema_version":"1.0","canonical_sha256":"1b9b9edaf0a9d5e84e647e376e6309078b4674065ea3011ad27da96bb92e7d24","source":{"kind":"arxiv","id":"1103.0691","version":1},"attestation_state":"computed","paper":{"title":"Covariant Constitutive Relations and Relativistic Inhomogeneous Plasmas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Jonathan Gratus, Robin W Tucker","submitted_at":"2011-03-03T14:17:45Z","abstract_excerpt":"The notion of a two-point susceptibility kernel used to describe linear electromagnetic responses of dispersive continuous media in non-relativistic phenomena is generalized to accommodate the constraints required of a causal formulation in spacetimes with background gravitational fields. In particular the concepts of spatial material inhomogeneity and temporal non-stationarity are formulated within a fully covariant spacetime framework. This framework is illustrated by re-casting the Maxwell-Vlasov equations for a collisionless plasma in a form that exposes a 2-point electromagnetic susceptib"},"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":"1103.0691","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.plasm-ph","submitted_at":"2011-03-03T14:17:45Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"063088729817c4c3264bf50e4ad5bce8907dd772a91db2769b4766602a5b8a12","abstract_canon_sha256":"bb8b704b32430412f682400f2272447a63cc00b487b2f49ccca1ce553557a7a9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:00.448272Z","signature_b64":"K+9Ibndm4mKWdhn9bYiQ0MHBzwR9ALL5cjIQ88MdTIoQjcayNqEcmKQTZismjTCRsFT8Hfc5qrrrdNBXTkoCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b9b9edaf0a9d5e84e647e376e6309078b4674065ea3011ad27da96bb92e7d24","last_reissued_at":"2026-05-18T02:03:00.447771Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:00.447771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Covariant Constitutive Relations and Relativistic Inhomogeneous Plasmas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.plasm-ph","authors_text":"Jonathan Gratus, Robin W Tucker","submitted_at":"2011-03-03T14:17:45Z","abstract_excerpt":"The notion of a two-point susceptibility kernel used to describe linear electromagnetic responses of dispersive continuous media in non-relativistic phenomena is generalized to accommodate the constraints required of a causal formulation in spacetimes with background gravitational fields. In particular the concepts of spatial material inhomogeneity and temporal non-stationarity are formulated within a fully covariant spacetime framework. This framework is illustrated by re-casting the Maxwell-Vlasov equations for a collisionless plasma in a form that exposes a 2-point electromagnetic susceptib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0691","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1103.0691","created_at":"2026-05-18T02:03:00.447851+00:00"},{"alias_kind":"arxiv_version","alias_value":"1103.0691v1","created_at":"2026-05-18T02:03:00.447851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0691","created_at":"2026-05-18T02:03:00.447851+00:00"},{"alias_kind":"pith_short_12","alias_value":"DONZ5WXQVHK6","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DONZ5WXQVHK6QTTE","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DONZ5WXQ","created_at":"2026-05-18T12:26:26.731475+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/DONZ5WXQVHK6QTTEPY3W4YYJA6","json":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6.json","graph_json":"https://pith.science/api/pith-number/DONZ5WXQVHK6QTTEPY3W4YYJA6/graph.json","events_json":"https://pith.science/api/pith-number/DONZ5WXQVHK6QTTEPY3W4YYJA6/events.json","paper":"https://pith.science/paper/DONZ5WXQ"},"agent_actions":{"view_html":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6","download_json":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6.json","view_paper":"https://pith.science/paper/DONZ5WXQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1103.0691&json=true","fetch_graph":"https://pith.science/api/pith-number/DONZ5WXQVHK6QTTEPY3W4YYJA6/graph.json","fetch_events":"https://pith.science/api/pith-number/DONZ5WXQVHK6QTTEPY3W4YYJA6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6/action/storage_attestation","attest_author":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6/action/author_attestation","sign_citation":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6/action/citation_signature","submit_replication":"https://pith.science/pith/DONZ5WXQVHK6QTTEPY3W4YYJA6/action/replication_record"}},"created_at":"2026-05-18T02:03:00.447851+00:00","updated_at":"2026-05-18T02:03:00.447851+00:00"}