{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:VKARVPE2ULTPHEQQ5RJDWGOMFC","short_pith_number":"pith:VKARVPE2","canonical_record":{"source":{"id":"1810.02728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-10-05T14:52:10Z","cross_cats_sorted":[],"title_canon_sha256":"1f1c43b3ded56f6b8f6fd0607e5bbcb1c472d05b8faf3b537e417362a49043b8","abstract_canon_sha256":"6ed6ffc044f056818e38d28c4622d9f44384c24f9d6656b7972e103a4ba90aa0"},"schema_version":"1.0"},"canonical_sha256":"aa811abc9aa2e6f39210ec523b19cc28a84ffec9cb76c4fd73dedda14f353649","source":{"kind":"arxiv","id":"1810.02728","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02728","created_at":"2026-05-17T23:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02728v2","created_at":"2026-05-17T23:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02728","created_at":"2026-05-17T23:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"VKARVPE2ULTP","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VKARVPE2ULTPHEQQ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VKARVPE2","created_at":"2026-05-18T12:32:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:VKARVPE2ULTPHEQQ5RJDWGOMFC","target":"record","payload":{"canonical_record":{"source":{"id":"1810.02728","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-10-05T14:52:10Z","cross_cats_sorted":[],"title_canon_sha256":"1f1c43b3ded56f6b8f6fd0607e5bbcb1c472d05b8faf3b537e417362a49043b8","abstract_canon_sha256":"6ed6ffc044f056818e38d28c4622d9f44384c24f9d6656b7972e103a4ba90aa0"},"schema_version":"1.0"},"canonical_sha256":"aa811abc9aa2e6f39210ec523b19cc28a84ffec9cb76c4fd73dedda14f353649","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:34.923274Z","signature_b64":"v25173nxUvoRMgFJtakyXbimRvn1te/OQY5Y9u8EQ/fTonW7KE5IclBKV621I0ZSZBWu65hn7k/MV+lMoRRlBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa811abc9aa2e6f39210ec523b19cc28a84ffec9cb76c4fd73dedda14f353649","last_reissued_at":"2026-05-17T23:42:34.922665Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:34.922665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.02728","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":"2026-05-17T23:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZEgCkEPLcDdHIvvOpkmpcgGR7SZvCzTXYZVXoekOCtOoeSSzp/sD6r6lFLx7rsOpC2bphHQ/pAkqJiTYrAnrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T03:56:04.242191Z"},"content_sha256":"189b5f8166f34903485f2d6324c710f05a79eb2ed48329d36e6b196c61b43135","schema_version":"1.0","event_id":"sha256:189b5f8166f34903485f2d6324c710f05a79eb2ed48329d36e6b196c61b43135"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:VKARVPE2ULTPHEQQ5RJDWGOMFC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonreciprocal Directional Dichroism Induced by the Quantum Metric Dipole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Di Xiao, Yang Gao","submitted_at":"2018-10-05T14:52:10Z","abstract_excerpt":"We identify the quantum metric dipole as the geometric origin of the nonreciprocal directional dichroism which describes the change in the refractive index upon reversing the light propagation direction. Specifically, we find that the static limit of the nonreciprocal directional dichroism corresponds to a quadrupolar transport current from the quantum metric dipole, in response to a quadrupolar electric field. Moreover, at finite frequency, we demonstrate that the steepest slope of the averaged quantum metric dipole determines a peak. Finally, we illustrate both features in a low-energy model"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02728","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":"2026-05-17T23:42:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3r6//t41hQXWzKzWJ9SD/asanCPavZYpY2JtqeeUBWyE0Jr+BEp9Qkjnv2TO3BR9y7tG1ndfnKxyQ1klsvbmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T03:56:04.242737Z"},"content_sha256":"e7d945b1244e5781e80f00c86d7a41f279ed517bd14bd8ee77223ba1944be6da","schema_version":"1.0","event_id":"sha256:e7d945b1244e5781e80f00c86d7a41f279ed517bd14bd8ee77223ba1944be6da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VKARVPE2ULTPHEQQ5RJDWGOMFC/bundle.json","state_url":"https://pith.science/pith/VKARVPE2ULTPHEQQ5RJDWGOMFC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VKARVPE2ULTPHEQQ5RJDWGOMFC/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":"2026-06-06T03:56:04Z","links":{"resolver":"https://pith.science/pith/VKARVPE2ULTPHEQQ5RJDWGOMFC","bundle":"https://pith.science/pith/VKARVPE2ULTPHEQQ5RJDWGOMFC/bundle.json","state":"https://pith.science/pith/VKARVPE2ULTPHEQQ5RJDWGOMFC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VKARVPE2ULTPHEQQ5RJDWGOMFC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:VKARVPE2ULTPHEQQ5RJDWGOMFC","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":"6ed6ffc044f056818e38d28c4622d9f44384c24f9d6656b7972e103a4ba90aa0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-10-05T14:52:10Z","title_canon_sha256":"1f1c43b3ded56f6b8f6fd0607e5bbcb1c472d05b8faf3b537e417362a49043b8"},"schema_version":"1.0","source":{"id":"1810.02728","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02728","created_at":"2026-05-17T23:42:34Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02728v2","created_at":"2026-05-17T23:42:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02728","created_at":"2026-05-17T23:42:34Z"},{"alias_kind":"pith_short_12","alias_value":"VKARVPE2ULTP","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_16","alias_value":"VKARVPE2ULTPHEQQ","created_at":"2026-05-18T12:32:59Z"},{"alias_kind":"pith_short_8","alias_value":"VKARVPE2","created_at":"2026-05-18T12:32:59Z"}],"graph_snapshots":[{"event_id":"sha256:e7d945b1244e5781e80f00c86d7a41f279ed517bd14bd8ee77223ba1944be6da","target":"graph","created_at":"2026-05-17T23:42:34Z","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":"We identify the quantum metric dipole as the geometric origin of the nonreciprocal directional dichroism which describes the change in the refractive index upon reversing the light propagation direction. Specifically, we find that the static limit of the nonreciprocal directional dichroism corresponds to a quadrupolar transport current from the quantum metric dipole, in response to a quadrupolar electric field. Moreover, at finite frequency, we demonstrate that the steepest slope of the averaged quantum metric dipole determines a peak. Finally, we illustrate both features in a low-energy model","authors_text":"Di Xiao, Yang Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-10-05T14:52:10Z","title":"Nonreciprocal Directional Dichroism Induced by the Quantum Metric Dipole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02728","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":"sha256:189b5f8166f34903485f2d6324c710f05a79eb2ed48329d36e6b196c61b43135","target":"record","created_at":"2026-05-17T23:42:34Z","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":"6ed6ffc044f056818e38d28c4622d9f44384c24f9d6656b7972e103a4ba90aa0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-10-05T14:52:10Z","title_canon_sha256":"1f1c43b3ded56f6b8f6fd0607e5bbcb1c472d05b8faf3b537e417362a49043b8"},"schema_version":"1.0","source":{"id":"1810.02728","kind":"arxiv","version":2}},"canonical_sha256":"aa811abc9aa2e6f39210ec523b19cc28a84ffec9cb76c4fd73dedda14f353649","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa811abc9aa2e6f39210ec523b19cc28a84ffec9cb76c4fd73dedda14f353649","first_computed_at":"2026-05-17T23:42:34.922665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:34.922665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"v25173nxUvoRMgFJtakyXbimRvn1te/OQY5Y9u8EQ/fTonW7KE5IclBKV621I0ZSZBWu65hn7k/MV+lMoRRlBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:34.923274Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02728","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:189b5f8166f34903485f2d6324c710f05a79eb2ed48329d36e6b196c61b43135","sha256:e7d945b1244e5781e80f00c86d7a41f279ed517bd14bd8ee77223ba1944be6da"],"state_sha256":"f348e08af143936da8f979ecd3216741e5b47d6fa581e3494e7a526a623cf7d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xMxOyZLMM5VHWeKODACXtuu92vHqKhFGHQO8vJvNq4Y2orpDXQVyIFuI6SwkI8CjGG+ZQX9p2zA9LHfL9f1hAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T03:56:04.245996Z","bundle_sha256":"9589174d9e11f9cf559e17d56dcc1ae80df83304ccfeb06eb5f911f28384f627"}}