{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CEN7FDBZHF3DQCACF2OQ2FSQ7T","short_pith_number":"pith:CEN7FDBZ","canonical_record":{"source":{"id":"1602.05468","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-02-17T16:18:41Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"517f7937f946482b09d9c5a6acb073fa6bcce63141aab282ac9b813742860414","abstract_canon_sha256":"58867abc8d123cea773325bf3f45e958a619b6db09cd92730c994a5f1a4dc539"},"schema_version":"1.0"},"canonical_sha256":"111bf28c3939763808022e9d0d1650fcfc21f8eef3d11b877d6b99da5a37706c","source":{"kind":"arxiv","id":"1602.05468","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05468","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05468v2","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05468","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"CEN7FDBZHF3D","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CEN7FDBZHF3DQCAC","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CEN7FDBZ","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CEN7FDBZHF3DQCACF2OQ2FSQ7T","target":"record","payload":{"canonical_record":{"source":{"id":"1602.05468","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-02-17T16:18:41Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"517f7937f946482b09d9c5a6acb073fa6bcce63141aab282ac9b813742860414","abstract_canon_sha256":"58867abc8d123cea773325bf3f45e958a619b6db09cd92730c994a5f1a4dc539"},"schema_version":"1.0"},"canonical_sha256":"111bf28c3939763808022e9d0d1650fcfc21f8eef3d11b877d6b99da5a37706c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:13.973903Z","signature_b64":"6BRSpl5AklPDajdC/EbuaSFgpF0mJi4Eqkd2fvZ0mV9YBNJpWyXK4xlDWdOBJnmzHlwSMOvvYPgBH1nlbE1/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"111bf28c3939763808022e9d0d1650fcfc21f8eef3d11b877d6b99da5a37706c","last_reissued_at":"2026-05-18T01:15:13.973240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:13.973240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.05468","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":"2026-05-18T01:15:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qAXSJD5LUC7fHAbjPcDddJ73OSx3bBIBTm1pR4SmUuE+Pr6N/kT4359SmVxaGrNildSStxjAHJWymNsiHkKYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:10:12.463611Z"},"content_sha256":"be96248ba393eecaff2df63bbcf80bf8e3ab1acda98fb96fb812598291dc840d","schema_version":"1.0","event_id":"sha256:be96248ba393eecaff2df63bbcf80bf8e3ab1acda98fb96fb812598291dc840d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CEN7FDBZHF3DQCACF2OQ2FSQ7T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Clausius-Mossotti Lorentz-Lorenz relations and retardation effects for two-dimensional crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"physics.optics","authors_text":"Luca Dell'Anna, Michele Merano","submitted_at":"2016-02-17T16:18:41Z","abstract_excerpt":"The macroscopic surface electric susceptibility determines the linear optical properties of an insulating single-layer two-dimensional atomic crystal, and can be expressed in terms of the microscopic polarizability of the atoms. We compute the local electric field acting on a single atom, both for the static and the dynamic case, as the superposition of the external applied electric field and the fields generated by the induced dipoles in the crystal. We find that, in the dynamic case, retardation effects dephase the local electric field with respect to the incident one. This explains why the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05468","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":"2026-05-18T01:15:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/K9hk41GlX3L4ImCCJA/qLyJc7bMnZEy3FGYPLdxebwVK/89EBztjAtrjmWKF3+Z6gvf3qmkJi9snoC4MaUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T04:10:12.464376Z"},"content_sha256":"cd9dff9be8ab59d9c1865b02894f1302ae7316d01fc470cb7f7611510de745e9","schema_version":"1.0","event_id":"sha256:cd9dff9be8ab59d9c1865b02894f1302ae7316d01fc470cb7f7611510de745e9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEN7FDBZHF3DQCACF2OQ2FSQ7T/bundle.json","state_url":"https://pith.science/pith/CEN7FDBZHF3DQCACF2OQ2FSQ7T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEN7FDBZHF3DQCACF2OQ2FSQ7T/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":"2026-06-09T04:10:12Z","links":{"resolver":"https://pith.science/pith/CEN7FDBZHF3DQCACF2OQ2FSQ7T","bundle":"https://pith.science/pith/CEN7FDBZHF3DQCACF2OQ2FSQ7T/bundle.json","state":"https://pith.science/pith/CEN7FDBZHF3DQCACF2OQ2FSQ7T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEN7FDBZHF3DQCACF2OQ2FSQ7T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CEN7FDBZHF3DQCACF2OQ2FSQ7T","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":"58867abc8d123cea773325bf3f45e958a619b6db09cd92730c994a5f1a4dc539","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-02-17T16:18:41Z","title_canon_sha256":"517f7937f946482b09d9c5a6acb073fa6bcce63141aab282ac9b813742860414"},"schema_version":"1.0","source":{"id":"1602.05468","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.05468","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"arxiv_version","alias_value":"1602.05468v2","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.05468","created_at":"2026-05-18T01:15:13Z"},{"alias_kind":"pith_short_12","alias_value":"CEN7FDBZHF3D","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CEN7FDBZHF3DQCAC","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CEN7FDBZ","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:cd9dff9be8ab59d9c1865b02894f1302ae7316d01fc470cb7f7611510de745e9","target":"graph","created_at":"2026-05-18T01:15:13Z","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 surface electric susceptibility determines the linear optical properties of an insulating single-layer two-dimensional atomic crystal, and can be expressed in terms of the microscopic polarizability of the atoms. We compute the local electric field acting on a single atom, both for the static and the dynamic case, as the superposition of the external applied electric field and the fields generated by the induced dipoles in the crystal. We find that, in the dynamic case, retardation effects dephase the local electric field with respect to the incident one. This explains why the ","authors_text":"Luca Dell'Anna, Michele Merano","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-02-17T16:18:41Z","title":"Clausius-Mossotti Lorentz-Lorenz relations and retardation effects for two-dimensional crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05468","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:be96248ba393eecaff2df63bbcf80bf8e3ab1acda98fb96fb812598291dc840d","target":"record","created_at":"2026-05-18T01:15:13Z","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":"58867abc8d123cea773325bf3f45e958a619b6db09cd92730c994a5f1a4dc539","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-02-17T16:18:41Z","title_canon_sha256":"517f7937f946482b09d9c5a6acb073fa6bcce63141aab282ac9b813742860414"},"schema_version":"1.0","source":{"id":"1602.05468","kind":"arxiv","version":2}},"canonical_sha256":"111bf28c3939763808022e9d0d1650fcfc21f8eef3d11b877d6b99da5a37706c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"111bf28c3939763808022e9d0d1650fcfc21f8eef3d11b877d6b99da5a37706c","first_computed_at":"2026-05-18T01:15:13.973240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:13.973240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6BRSpl5AklPDajdC/EbuaSFgpF0mJi4Eqkd2fvZ0mV9YBNJpWyXK4xlDWdOBJnmzHlwSMOvvYPgBH1nlbE1/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:13.973903Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.05468","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be96248ba393eecaff2df63bbcf80bf8e3ab1acda98fb96fb812598291dc840d","sha256:cd9dff9be8ab59d9c1865b02894f1302ae7316d01fc470cb7f7611510de745e9"],"state_sha256":"78c4e06f4aac75103742b5aace2c252c1bc4fcccd5aba3493c801fedea1063ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PwJ5hwM1i7HEaciRl/k/WcJfQHrPF2thVYeKZhT94igN9Q0ZKYn7gtGPtdf2NABX9xH8/GjU0tqJECJN2m7ZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T04:10:12.468036Z","bundle_sha256":"35e60eab997629e5d1108deea1f526b78a6fd2aa325b1b5ba07d929c5d53f82f"}}