{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2WF5IV6WBRWLNMWRNFZ3KZNSYN","short_pith_number":"pith:2WF5IV6W","canonical_record":{"source":{"id":"1705.02512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-05-06T18:09:18Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"e7fe26dcfd4dbeb7aad63248fc12b595871e030bf5fac0447da5ff426ab4791a","abstract_canon_sha256":"3101fb5ff62b6f4ce19ec01a1d59505b11b2bff7b96e1e468bb6b5c6b5eed9bf"},"schema_version":"1.0"},"canonical_sha256":"d58bd457d60c6cb6b2d16973b565b2c355f1327bb0ecec1c6eb94b2b50b8dae1","source":{"kind":"arxiv","id":"1705.02512","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02512","created_at":"2026-05-18T00:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02512v1","created_at":"2026-05-18T00:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02512","created_at":"2026-05-18T00:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"2WF5IV6WBRWL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2WF5IV6WBRWLNMWR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2WF5IV6W","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2WF5IV6WBRWLNMWRNFZ3KZNSYN","target":"record","payload":{"canonical_record":{"source":{"id":"1705.02512","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-05-06T18:09:18Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"e7fe26dcfd4dbeb7aad63248fc12b595871e030bf5fac0447da5ff426ab4791a","abstract_canon_sha256":"3101fb5ff62b6f4ce19ec01a1d59505b11b2bff7b96e1e468bb6b5c6b5eed9bf"},"schema_version":"1.0"},"canonical_sha256":"d58bd457d60c6cb6b2d16973b565b2c355f1327bb0ecec1c6eb94b2b50b8dae1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:49.951683Z","signature_b64":"gJ/JyLbpv2ljGvka+CH/fDdClOxniUSExYKBFCExhARq5S41yGJAxMX12Hc2tyYl/gY1fagSNPHLIxby35tzCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d58bd457d60c6cb6b2d16973b565b2c355f1327bb0ecec1c6eb94b2b50b8dae1","last_reissued_at":"2026-05-18T00:33:49.951068Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:49.951068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.02512","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+I9KdPB3iz9Ja03UNeoxRXqyVAHGHUxb7eFBgE5oUyr6pXfh1ZSRIUAWvy3HrjbeCnBOYU6Z27UlJfbxGch+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:02:38.610595Z"},"content_sha256":"f077f2b8f1b068ce2ecd8bece9f067df157511f51dd7dc70cc0595a01b9ada2d","schema_version":"1.0","event_id":"sha256:f077f2b8f1b068ce2ecd8bece9f067df157511f51dd7dc70cc0595a01b9ada2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2WF5IV6WBRWLNMWRNFZ3KZNSYN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Flexocoupling induced soft acoustic mode and the spatially modulated phases in ferroelectrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Anna N. Morozovska, Eugene A. Eliseev, Maya D. Glinchuk, Yulian M. Vysochanskii","submitted_at":"2017-05-06T18:09:18Z","abstract_excerpt":"Using the Landau Ginzburg Devonshire theory and scalar approximation, we derived analytical expressions for the singular points (zeros, complex ranges) of the acoustic phonon mode (A mode) frequency in dependence on the wave vector k and examined the conditions of the soft A modes appearance in a ferroelectric depending on the magnitude of the flexoelectric coefficient f and temperature T. We predict that if the magnitude of the flexocoefficient f is equal to the temperature-dependent critical value fcr(T) at the temperature T=T_IC, the A mode frequency tends to zero at k=kr_0 and the spontane"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02512","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:33:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tUjBQo7ogpECY4n52+AbuxP+Yi8x47qG4wik+HLBUmqxIhU+kn6nMOtJxwBOSlOlxC1fsoCB4fr/WqVWuuBRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T10:02:38.611136Z"},"content_sha256":"19ee8ffac2d0621550a4fd48ed9fa6ef38be9a78c643c19e0e2826f18b9b252f","schema_version":"1.0","event_id":"sha256:19ee8ffac2d0621550a4fd48ed9fa6ef38be9a78c643c19e0e2826f18b9b252f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2WF5IV6WBRWLNMWRNFZ3KZNSYN/bundle.json","state_url":"https://pith.science/pith/2WF5IV6WBRWLNMWRNFZ3KZNSYN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2WF5IV6WBRWLNMWRNFZ3KZNSYN/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":"2026-06-08T10:02:38Z","links":{"resolver":"https://pith.science/pith/2WF5IV6WBRWLNMWRNFZ3KZNSYN","bundle":"https://pith.science/pith/2WF5IV6WBRWLNMWRNFZ3KZNSYN/bundle.json","state":"https://pith.science/pith/2WF5IV6WBRWLNMWRNFZ3KZNSYN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2WF5IV6WBRWLNMWRNFZ3KZNSYN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2WF5IV6WBRWLNMWRNFZ3KZNSYN","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":"3101fb5ff62b6f4ce19ec01a1d59505b11b2bff7b96e1e468bb6b5c6b5eed9bf","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-05-06T18:09:18Z","title_canon_sha256":"e7fe26dcfd4dbeb7aad63248fc12b595871e030bf5fac0447da5ff426ab4791a"},"schema_version":"1.0","source":{"id":"1705.02512","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02512","created_at":"2026-05-18T00:33:49Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02512v1","created_at":"2026-05-18T00:33:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02512","created_at":"2026-05-18T00:33:49Z"},{"alias_kind":"pith_short_12","alias_value":"2WF5IV6WBRWL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2WF5IV6WBRWLNMWR","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2WF5IV6W","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:19ee8ffac2d0621550a4fd48ed9fa6ef38be9a78c643c19e0e2826f18b9b252f","target":"graph","created_at":"2026-05-18T00:33:49Z","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":"Using the Landau Ginzburg Devonshire theory and scalar approximation, we derived analytical expressions for the singular points (zeros, complex ranges) of the acoustic phonon mode (A mode) frequency in dependence on the wave vector k and examined the conditions of the soft A modes appearance in a ferroelectric depending on the magnitude of the flexoelectric coefficient f and temperature T. We predict that if the magnitude of the flexocoefficient f is equal to the temperature-dependent critical value fcr(T) at the temperature T=T_IC, the A mode frequency tends to zero at k=kr_0 and the spontane","authors_text":"Anna N. Morozovska, Eugene A. Eliseev, Maya D. Glinchuk, Yulian M. Vysochanskii","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-05-06T18:09:18Z","title":"Flexocoupling induced soft acoustic mode and the spatially modulated phases in ferroelectrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02512","kind":"arxiv","version":1},"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:f077f2b8f1b068ce2ecd8bece9f067df157511f51dd7dc70cc0595a01b9ada2d","target":"record","created_at":"2026-05-18T00:33:49Z","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":"3101fb5ff62b6f4ce19ec01a1d59505b11b2bff7b96e1e468bb6b5c6b5eed9bf","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-05-06T18:09:18Z","title_canon_sha256":"e7fe26dcfd4dbeb7aad63248fc12b595871e030bf5fac0447da5ff426ab4791a"},"schema_version":"1.0","source":{"id":"1705.02512","kind":"arxiv","version":1}},"canonical_sha256":"d58bd457d60c6cb6b2d16973b565b2c355f1327bb0ecec1c6eb94b2b50b8dae1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d58bd457d60c6cb6b2d16973b565b2c355f1327bb0ecec1c6eb94b2b50b8dae1","first_computed_at":"2026-05-18T00:33:49.951068Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:49.951068Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gJ/JyLbpv2ljGvka+CH/fDdClOxniUSExYKBFCExhARq5S41yGJAxMX12Hc2tyYl/gY1fagSNPHLIxby35tzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:49.951683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02512","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f077f2b8f1b068ce2ecd8bece9f067df157511f51dd7dc70cc0595a01b9ada2d","sha256:19ee8ffac2d0621550a4fd48ed9fa6ef38be9a78c643c19e0e2826f18b9b252f"],"state_sha256":"5e963b637309798ee0b1552db14e5122c465ed4e2b25eba80f7d96134543e62b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y/wsFS2HXf2TUlb/0ttAtwNQL4zDeaV1g9MYZ305g7OqZKTe4D9rh2jUZWftdZG460ceTfXe+yzOaBIqpdcqAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T10:02:38.613789Z","bundle_sha256":"5c1c99feb4cec7d4c2bd156a3df3b5fe0325008f4518239970496dd8ee9ebc50"}}