{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:5UTHZDWKFK44SVX2ITQLZ2XTWJ","short_pith_number":"pith:5UTHZDWK","canonical_record":{"source":{"id":"1007.4186","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-23T18:39:56Z","cross_cats_sorted":[],"title_canon_sha256":"441b4dec4364b00fad7c7ea0089648ab46fe309f16d7d02e1208d9ef94dd2625","abstract_canon_sha256":"0f8b2d5d99b8abdde0ba3c51812bd9b78225958f74f05730180fec872da8340a"},"schema_version":"1.0"},"canonical_sha256":"ed267c8eca2ab9c956fa44e0bceaf3b27a8c32f47742d997051096bb32ab054f","source":{"kind":"arxiv","id":"1007.4186","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4186","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4186v3","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4186","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"5UTHZDWKFK44","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5UTHZDWKFK44SVX2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5UTHZDWK","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:5UTHZDWKFK44SVX2ITQLZ2XTWJ","target":"record","payload":{"canonical_record":{"source":{"id":"1007.4186","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-23T18:39:56Z","cross_cats_sorted":[],"title_canon_sha256":"441b4dec4364b00fad7c7ea0089648ab46fe309f16d7d02e1208d9ef94dd2625","abstract_canon_sha256":"0f8b2d5d99b8abdde0ba3c51812bd9b78225958f74f05730180fec872da8340a"},"schema_version":"1.0"},"canonical_sha256":"ed267c8eca2ab9c956fa44e0bceaf3b27a8c32f47742d997051096bb32ab054f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:26.106852Z","signature_b64":"NfW9g083tYTg+0O1vv2Pj/Vpa/HgIgZR+lKiU/hp5YDDVZwnVJhljwgmZR1REIHoJSzK1kC22F4xgjSVx/M8AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed267c8eca2ab9c956fa44e0bceaf3b27a8c32f47742d997051096bb32ab054f","last_reissued_at":"2026-05-18T04:30:26.106374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:26.106374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.4186","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tQ6f1PaoehH01Hnv/cUuY8q7pIMQuDL90BeSzP8WlMIhgz4YUpNAroYyL114DLgWcwW2mJeA+Asbf4JO1QV2BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:08:43.508216Z"},"content_sha256":"75941a921f76d225a881c81129558af7ba95467755becf96aad4a5d30589babe","schema_version":"1.0","event_id":"sha256:75941a921f76d225a881c81129558af7ba95467755becf96aad4a5d30589babe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:5UTHZDWKFK44SVX2ITQLZ2XTWJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lyddane-Sachs-Teller relationship in linear magnetoelectrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Raffaele Resta","submitted_at":"2010-07-23T18:39:56Z","abstract_excerpt":"In a linear magnetoelectric the lattice is coupled to electric and magnetic fields: both affect the longitudinal-transverse splitting of zone-center optical phonons on equal footing. A response matrix relates the macroscopic fields (D,B) to (E,H) at infrared frequencies. It is shown that the response matrices at frequencies 0 and \\infty fulfill a generalized Lyddane-Sachs-Teller relationship. The rhs member of such relationship is expressed in terms of weighted averages over the longitudinal and transverse excitations of the medium, and assumes a simple form for an harmonic crystal."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4186","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Do2j0CXwcglQTzV7/WyJy0KiNlf+aAOGfYgul1494FDEVvMAZR5AjsMXOV+mKI5NcVIEjp0bULl+jTRDdKY8Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T11:08:43.508771Z"},"content_sha256":"e6ef4411aea3d247f31ea7f13841eabaf2f355918744aac8873e7272351c8753","schema_version":"1.0","event_id":"sha256:e6ef4411aea3d247f31ea7f13841eabaf2f355918744aac8873e7272351c8753"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5UTHZDWKFK44SVX2ITQLZ2XTWJ/bundle.json","state_url":"https://pith.science/pith/5UTHZDWKFK44SVX2ITQLZ2XTWJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5UTHZDWKFK44SVX2ITQLZ2XTWJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-21T11:08:43Z","links":{"resolver":"https://pith.science/pith/5UTHZDWKFK44SVX2ITQLZ2XTWJ","bundle":"https://pith.science/pith/5UTHZDWKFK44SVX2ITQLZ2XTWJ/bundle.json","state":"https://pith.science/pith/5UTHZDWKFK44SVX2ITQLZ2XTWJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5UTHZDWKFK44SVX2ITQLZ2XTWJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:5UTHZDWKFK44SVX2ITQLZ2XTWJ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0f8b2d5d99b8abdde0ba3c51812bd9b78225958f74f05730180fec872da8340a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-23T18:39:56Z","title_canon_sha256":"441b4dec4364b00fad7c7ea0089648ab46fe309f16d7d02e1208d9ef94dd2625"},"schema_version":"1.0","source":{"id":"1007.4186","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.4186","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1007.4186v3","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.4186","created_at":"2026-05-18T04:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"5UTHZDWKFK44","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"5UTHZDWKFK44SVX2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"5UTHZDWK","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:e6ef4411aea3d247f31ea7f13841eabaf2f355918744aac8873e7272351c8753","target":"graph","created_at":"2026-05-18T04:30:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In a linear magnetoelectric the lattice is coupled to electric and magnetic fields: both affect the longitudinal-transverse splitting of zone-center optical phonons on equal footing. A response matrix relates the macroscopic fields (D,B) to (E,H) at infrared frequencies. It is shown that the response matrices at frequencies 0 and \\infty fulfill a generalized Lyddane-Sachs-Teller relationship. The rhs member of such relationship is expressed in terms of weighted averages over the longitudinal and transverse excitations of the medium, and assumes a simple form for an harmonic crystal.","authors_text":"Raffaele Resta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-23T18:39:56Z","title":"Lyddane-Sachs-Teller relationship in linear magnetoelectrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.4186","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:75941a921f76d225a881c81129558af7ba95467755becf96aad4a5d30589babe","target":"record","created_at":"2026-05-18T04:30:26Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0f8b2d5d99b8abdde0ba3c51812bd9b78225958f74f05730180fec872da8340a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-23T18:39:56Z","title_canon_sha256":"441b4dec4364b00fad7c7ea0089648ab46fe309f16d7d02e1208d9ef94dd2625"},"schema_version":"1.0","source":{"id":"1007.4186","kind":"arxiv","version":3}},"canonical_sha256":"ed267c8eca2ab9c956fa44e0bceaf3b27a8c32f47742d997051096bb32ab054f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed267c8eca2ab9c956fa44e0bceaf3b27a8c32f47742d997051096bb32ab054f","first_computed_at":"2026-05-18T04:30:26.106374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:26.106374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NfW9g083tYTg+0O1vv2Pj/Vpa/HgIgZR+lKiU/hp5YDDVZwnVJhljwgmZR1REIHoJSzK1kC22F4xgjSVx/M8AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:26.106852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.4186","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:75941a921f76d225a881c81129558af7ba95467755becf96aad4a5d30589babe","sha256:e6ef4411aea3d247f31ea7f13841eabaf2f355918744aac8873e7272351c8753"],"state_sha256":"5df0e992d4f24e0773ea6f27a1cdbcc7f592a97115217ed8a7964595088620fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PFsedtjuXrlBgeK1B78txe53S3qzzkiiCR9nta44GjyFvDwo2VLoCNMllvJQ6wz1ZxbSnVbyWIivZH3bqtB3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T11:08:43.519754Z","bundle_sha256":"344795f48a76c06bc4c17f51b79403df28e83bcc4b37f831ed3393a7e9718cb7"}}