{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:OJONSW6R5MY2B5PRPSGG3VFRVD","short_pith_number":"pith:OJONSW6R","canonical_record":{"source":{"id":"1303.3928","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-03-15T23:38:11Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"bdacc481f0a57f61ef3ac8e2352826ef4e5226617a2162d663e7b4271c1907ad","abstract_canon_sha256":"c92e498c477b63c135eb24b95b48215bd8b17cc64301853640474644158b6a09"},"schema_version":"1.0"},"canonical_sha256":"725cd95bd1eb31a0f5f17c8c6dd4b1a8e397ade69a6f4cd612bca2301f6564b4","source":{"kind":"arxiv","id":"1303.3928","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3928","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3928v2","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3928","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"OJONSW6R5MY2","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OJONSW6R5MY2B5PR","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OJONSW6R","created_at":"2026-05-18T12:27:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:OJONSW6R5MY2B5PRPSGG3VFRVD","target":"record","payload":{"canonical_record":{"source":{"id":"1303.3928","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-03-15T23:38:11Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"bdacc481f0a57f61ef3ac8e2352826ef4e5226617a2162d663e7b4271c1907ad","abstract_canon_sha256":"c92e498c477b63c135eb24b95b48215bd8b17cc64301853640474644158b6a09"},"schema_version":"1.0"},"canonical_sha256":"725cd95bd1eb31a0f5f17c8c6dd4b1a8e397ade69a6f4cd612bca2301f6564b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:06.539676Z","signature_b64":"czj5isJ9afTE2aMAMVLOcuP7G3269bd+VQco4P++33lsK3jD9Xnj9WALhTTA7vQXIQiSulIQTeQDK+JdyJPUCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"725cd95bd1eb31a0f5f17c8c6dd4b1a8e397ade69a6f4cd612bca2301f6564b4","last_reissued_at":"2026-05-18T01:51:06.539175Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:06.539175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.3928","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JUl9D0bg4NpWhJ9Y/CrC0hhy+Y8dLQIZivhA8/AgkstEQLaEgfnkYjTILjni0LH1lj2r3ZJVD/Qb6VsOGeF7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:57:21.924980Z"},"content_sha256":"9431c68623c16fc0c544f3af2756b36113c9ec9a349f983cfd0d88ef1898fa1e","schema_version":"1.0","event_id":"sha256:9431c68623c16fc0c544f3af2756b36113c9ec9a349f983cfd0d88ef1898fa1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:OJONSW6R5MY2B5PRPSGG3VFRVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ferroelectric instability of two-dimensional crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"S. A. Mikhailov","submitted_at":"2013-03-15T23:38:11Z","abstract_excerpt":"The macroscopic dielectric permittivity of dielectric crystals is related to the microscopic atomic polarizability of constituent atoms by the known Clausius-Mossotti relation obtained in the middle of 19th century. We derive a similar relation for recently discovered two-dimensional crystals (mono- and bilayer graphene, boron nitride, etc) and show that, in contrast to three-dimensional materials, much stronger electron-electron interaction in two dimensions leads to a spontaneous electric polarization of the ground state of two-dimensional crystals. The predicted ferroelectric transition may"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3928","kind":"arxiv","version":2},"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":"2026-05-18T01:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t5ROZzDmlLHwcOKHeLxddF1Awgb9GY/lKe1RSThXVUdl/7O5J7NHwkbB7y4NmSqAnlVMTkjT0bLvF4j5y4DUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T18:57:21.925341Z"},"content_sha256":"22fd411a71f24776cd16d99eb2a68338d10160c2a479f9549d5990880365547d","schema_version":"1.0","event_id":"sha256:22fd411a71f24776cd16d99eb2a68338d10160c2a479f9549d5990880365547d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OJONSW6R5MY2B5PRPSGG3VFRVD/bundle.json","state_url":"https://pith.science/pith/OJONSW6R5MY2B5PRPSGG3VFRVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OJONSW6R5MY2B5PRPSGG3VFRVD/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":"2026-06-04T18:57:21Z","links":{"resolver":"https://pith.science/pith/OJONSW6R5MY2B5PRPSGG3VFRVD","bundle":"https://pith.science/pith/OJONSW6R5MY2B5PRPSGG3VFRVD/bundle.json","state":"https://pith.science/pith/OJONSW6R5MY2B5PRPSGG3VFRVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OJONSW6R5MY2B5PRPSGG3VFRVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OJONSW6R5MY2B5PRPSGG3VFRVD","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":"c92e498c477b63c135eb24b95b48215bd8b17cc64301853640474644158b6a09","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-03-15T23:38:11Z","title_canon_sha256":"bdacc481f0a57f61ef3ac8e2352826ef4e5226617a2162d663e7b4271c1907ad"},"schema_version":"1.0","source":{"id":"1303.3928","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3928","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3928v2","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3928","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"OJONSW6R5MY2","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OJONSW6R5MY2B5PR","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OJONSW6R","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:22fd411a71f24776cd16d99eb2a68338d10160c2a479f9549d5990880365547d","target":"graph","created_at":"2026-05-18T01:51:06Z","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":"The macroscopic dielectric permittivity of dielectric crystals is related to the microscopic atomic polarizability of constituent atoms by the known Clausius-Mossotti relation obtained in the middle of 19th century. We derive a similar relation for recently discovered two-dimensional crystals (mono- and bilayer graphene, boron nitride, etc) and show that, in contrast to three-dimensional materials, much stronger electron-electron interaction in two dimensions leads to a spontaneous electric polarization of the ground state of two-dimensional crystals. The predicted ferroelectric transition may","authors_text":"S. A. Mikhailov","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-03-15T23:38:11Z","title":"Ferroelectric instability of two-dimensional crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3928","kind":"arxiv","version":2},"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":"sha256:9431c68623c16fc0c544f3af2756b36113c9ec9a349f983cfd0d88ef1898fa1e","target":"record","created_at":"2026-05-18T01:51:06Z","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":"c92e498c477b63c135eb24b95b48215bd8b17cc64301853640474644158b6a09","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-03-15T23:38:11Z","title_canon_sha256":"bdacc481f0a57f61ef3ac8e2352826ef4e5226617a2162d663e7b4271c1907ad"},"schema_version":"1.0","source":{"id":"1303.3928","kind":"arxiv","version":2}},"canonical_sha256":"725cd95bd1eb31a0f5f17c8c6dd4b1a8e397ade69a6f4cd612bca2301f6564b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"725cd95bd1eb31a0f5f17c8c6dd4b1a8e397ade69a6f4cd612bca2301f6564b4","first_computed_at":"2026-05-18T01:51:06.539175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:06.539175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"czj5isJ9afTE2aMAMVLOcuP7G3269bd+VQco4P++33lsK3jD9Xnj9WALhTTA7vQXIQiSulIQTeQDK+JdyJPUCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:06.539676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3928","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9431c68623c16fc0c544f3af2756b36113c9ec9a349f983cfd0d88ef1898fa1e","sha256:22fd411a71f24776cd16d99eb2a68338d10160c2a479f9549d5990880365547d"],"state_sha256":"ffa4b1c9e2b730a614769894e2d352ea34b839f9e82e47c00574d361efa2b4fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vqZGcEGjURyNFYqTZOUswjwPm3nwAFU+NbC9sHVDLvatxZMejlEo9LTx19uApAXdEUD+26qvevJS//tELk0TBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T18:57:21.927341Z","bundle_sha256":"ffd450675f7a43936c6cee7b095a2de509021979bb3f2dcbe26736dcc4a5731a"}}