{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ZQM3CVR2C2ZSV7B56FJUISKS7H","short_pith_number":"pith:ZQM3CVR2","canonical_record":{"source":{"id":"2604.04520","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-04-06T08:31:55Z","cross_cats_sorted":[],"title_canon_sha256":"66ef6900a15b77449d082032dfa3e4e160e48603ccc3b9195b3be2ca2140b20f","abstract_canon_sha256":"9a46cdd8fd04b620dc4c698695d244a27857cd4f01f2597c625d69f8bbb33133"},"schema_version":"1.0"},"canonical_sha256":"cc19b1563a16b32afc3df153444952f9ed5cfbdfa9c28d495b19957e64334b96","source":{"kind":"arxiv","id":"2604.04520","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.04520","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"arxiv_version","alias_value":"2604.04520v2","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.04520","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZQM3CVR2C2ZS","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"pith_short_16","alias_value":"ZQM3CVR2C2ZSV7B5","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"pith_short_8","alias_value":"ZQM3CVR2","created_at":"2026-06-23T01:12:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ZQM3CVR2C2ZSV7B56FJUISKS7H","target":"record","payload":{"canonical_record":{"source":{"id":"2604.04520","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-04-06T08:31:55Z","cross_cats_sorted":[],"title_canon_sha256":"66ef6900a15b77449d082032dfa3e4e160e48603ccc3b9195b3be2ca2140b20f","abstract_canon_sha256":"9a46cdd8fd04b620dc4c698695d244a27857cd4f01f2597c625d69f8bbb33133"},"schema_version":"1.0"},"canonical_sha256":"cc19b1563a16b32afc3df153444952f9ed5cfbdfa9c28d495b19957e64334b96","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T01:12:04.361103Z","signature_b64":"bd1SJBrhMd34/a35EojZtcwS4pS8mIBXDHUCFzg0cY1bbrK3O4atuBy8n6Mq7bVzMNLgwzzwAAdSvYPmxAnoCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc19b1563a16b32afc3df153444952f9ed5cfbdfa9c28d495b19957e64334b96","last_reissued_at":"2026-06-23T01:12:04.360596Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T01:12:04.360596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2604.04520","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":"2026-06-23T01:12:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZbOvDgrYxxllY5TT2SKDVgjVFKYcu9IWXET1TcC1a19J1NbJ70SD5kP0La2yyvurEu/FXoZ9mYHs3OvQkLnjCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T00:12:34.152950Z"},"content_sha256":"12246f6c2691bb3547062a57004c6b4016feb81f9832412d72ec851263ee5baa","schema_version":"1.0","event_id":"sha256:12246f6c2691bb3547062a57004c6b4016feb81f9832412d72ec851263ee5baa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ZQM3CVR2C2ZSV7B56FJUISKS7H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonreciprocal current induced by dissipation in time-reversal symmetric systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric crystals through interband processes.","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Sota Kitamura, Takahiro Anan, Takahiro Morimoto","submitted_at":"2026-04-06T08:31:55Z","abstract_excerpt":"We study nonreciprocal current response in noncentrosymmetric crystals under time-reversal symmetry. We reveal that the nonreciprocal current appears in a dissipative system through interband processes. We derive a formula for the nonreciprocal current using the Green's function technique. The nonreciprocal current of the present mechanism turns out to be of $O(1/\\tau)$ ($\\tau$: the lifetime of Bloch electrons) and arises from the shift of the electron wave packet during the interband processes which has a geometric origin. We present a numerical simulation of the nonreciprocal current in the "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We show that the nonreciprocal current appears in a dissipative system through interband processes. The nonreciprocal current is inversely proportional to the lifetime τ and has a close relationship to the geometric quantity called the shift vector.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The mechanism requires the regime where the energy gap and relaxation strength are comparable so that interband dissipative processes dominate the response.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric systems via interband processes, inversely proportional to lifetime and linked to the shift vector.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric crystals through interband processes.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"a28e098f3025050b9347ccaf66cfaec92af2705ac103aadd0a043d6d807e91e3"},"source":{"id":"2604.04520","kind":"arxiv","version":2},"verdict":{"id":"d44bce45-e01d-482d-b414-fc6f0099a2cf","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-10T20:28:54.144975Z","strongest_claim":"We show that the nonreciprocal current appears in a dissipative system through interband processes. The nonreciprocal current is inversely proportional to the lifetime τ and has a close relationship to the geometric quantity called the shift vector.","one_line_summary":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric systems via interband processes, inversely proportional to lifetime and linked to the shift vector.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The mechanism requires the regime where the energy gap and relaxation strength are comparable so that interband dissipative processes dominate the response.","pith_extraction_headline":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric crystals through interband processes."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.04520/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"feeea676fb15758928114393fc1f02704608af59836b5c893655d17d2a1f06f6"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"d44bce45-e01d-482d-b414-fc6f0099a2cf"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-23T01:12:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oHDE7+ouBkrMPS+tknAX5gwXFFiD4S9omQnaMSyNMDGDCF+XAeub9OEm8KqmLxVKjY7xVaKCnWUO/EjTyi27DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T00:12:34.153461Z"},"content_sha256":"6bb627717a9821280f09786fd3658c384c0c56f67279568a9b910962a7548ad7","schema_version":"1.0","event_id":"sha256:6bb627717a9821280f09786fd3658c384c0c56f67279568a9b910962a7548ad7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZQM3CVR2C2ZSV7B56FJUISKS7H/bundle.json","state_url":"https://pith.science/pith/ZQM3CVR2C2ZSV7B56FJUISKS7H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZQM3CVR2C2ZSV7B56FJUISKS7H/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":"2026-07-07T00:12:34Z","links":{"resolver":"https://pith.science/pith/ZQM3CVR2C2ZSV7B56FJUISKS7H","bundle":"https://pith.science/pith/ZQM3CVR2C2ZSV7B56FJUISKS7H/bundle.json","state":"https://pith.science/pith/ZQM3CVR2C2ZSV7B56FJUISKS7H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZQM3CVR2C2ZSV7B56FJUISKS7H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZQM3CVR2C2ZSV7B56FJUISKS7H","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":"9a46cdd8fd04b620dc4c698695d244a27857cd4f01f2597c625d69f8bbb33133","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-04-06T08:31:55Z","title_canon_sha256":"66ef6900a15b77449d082032dfa3e4e160e48603ccc3b9195b3be2ca2140b20f"},"schema_version":"1.0","source":{"id":"2604.04520","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2604.04520","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"arxiv_version","alias_value":"2604.04520v2","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.04520","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZQM3CVR2C2ZS","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"pith_short_16","alias_value":"ZQM3CVR2C2ZSV7B5","created_at":"2026-06-23T01:12:04Z"},{"alias_kind":"pith_short_8","alias_value":"ZQM3CVR2","created_at":"2026-06-23T01:12:04Z"}],"graph_snapshots":[{"event_id":"sha256:6bb627717a9821280f09786fd3658c384c0c56f67279568a9b910962a7548ad7","target":"graph","created_at":"2026-06-23T01:12:04Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We show that the nonreciprocal current appears in a dissipative system through interband processes. The nonreciprocal current is inversely proportional to the lifetime τ and has a close relationship to the geometric quantity called the shift vector."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The mechanism requires the regime where the energy gap and relaxation strength are comparable so that interband dissipative processes dominate the response."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric systems via interband processes, inversely proportional to lifetime and linked to the shift vector."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric crystals through interband processes."}],"snapshot_sha256":"a28e098f3025050b9347ccaf66cfaec92af2705ac103aadd0a043d6d807e91e3"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"feeea676fb15758928114393fc1f02704608af59836b5c893655d17d2a1f06f6"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2604.04520/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study nonreciprocal current response in noncentrosymmetric crystals under time-reversal symmetry. We reveal that the nonreciprocal current appears in a dissipative system through interband processes. We derive a formula for the nonreciprocal current using the Green's function technique. The nonreciprocal current of the present mechanism turns out to be of $O(1/\\tau)$ ($\\tau$: the lifetime of Bloch electrons) and arises from the shift of the electron wave packet during the interband processes which has a geometric origin. We present a numerical simulation of the nonreciprocal current in the ","authors_text":"Sota Kitamura, Takahiro Anan, Takahiro Morimoto","cross_cats":[],"headline":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric crystals through interband processes.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-04-06T08:31:55Z","title":"Nonreciprocal current induced by dissipation in time-reversal symmetric systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2604.04520","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-10T20:28:54.144975Z","id":"d44bce45-e01d-482d-b414-fc6f0099a2cf","model_set":{"reader":"grok-4.3"},"one_line_summary":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric systems via interband processes, inversely proportional to lifetime and linked to the shift vector.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Dissipation induces nonreciprocal current in time-reversal symmetric noncentrosymmetric crystals through interband processes.","strongest_claim":"We show that the nonreciprocal current appears in a dissipative system through interband processes. The nonreciprocal current is inversely proportional to the lifetime τ and has a close relationship to the geometric quantity called the shift vector.","weakest_assumption":"The mechanism requires the regime where the energy gap and relaxation strength are comparable so that interband dissipative processes dominate the response."}},"verdict_id":"d44bce45-e01d-482d-b414-fc6f0099a2cf"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:12246f6c2691bb3547062a57004c6b4016feb81f9832412d72ec851263ee5baa","target":"record","created_at":"2026-06-23T01:12:04Z","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":"9a46cdd8fd04b620dc4c698695d244a27857cd4f01f2597c625d69f8bbb33133","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2026-04-06T08:31:55Z","title_canon_sha256":"66ef6900a15b77449d082032dfa3e4e160e48603ccc3b9195b3be2ca2140b20f"},"schema_version":"1.0","source":{"id":"2604.04520","kind":"arxiv","version":2}},"canonical_sha256":"cc19b1563a16b32afc3df153444952f9ed5cfbdfa9c28d495b19957e64334b96","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc19b1563a16b32afc3df153444952f9ed5cfbdfa9c28d495b19957e64334b96","first_computed_at":"2026-06-23T01:12:04.360596Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T01:12:04.360596Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bd1SJBrhMd34/a35EojZtcwS4pS8mIBXDHUCFzg0cY1bbrK3O4atuBy8n6Mq7bVzMNLgwzzwAAdSvYPmxAnoCA==","signature_status":"signed_v1","signed_at":"2026-06-23T01:12:04.361103Z","signed_message":"canonical_sha256_bytes"},"source_id":"2604.04520","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12246f6c2691bb3547062a57004c6b4016feb81f9832412d72ec851263ee5baa","sha256:6bb627717a9821280f09786fd3658c384c0c56f67279568a9b910962a7548ad7"],"state_sha256":"54f6ea0f7ef48aed92fba06e0a65111a6374842cc4bfe3b98c239fedc477c923"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FNGImo4zsKvUn/PctuJ5Z7tbM0NgutqQV6GrhY7Zfg/9F63//2MXcsud1JWiPUH8TrGjQyKIo5UDsFJPmraBAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T00:12:34.155867Z","bundle_sha256":"803a67720c9359db9f782880ff0fe5cd988356c873b834566498fdffe2fdbdad"}}