{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:7HMM257WJYFMQXKA63QF7O3BXO","short_pith_number":"pith:7HMM257W","canonical_record":{"source":{"id":"1608.03568","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-11T19:01:43Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"5f18002414eceeeb26792ab44c30c81d3e1f2cae92ce1ba47ae9f5b0c49a43cb","abstract_canon_sha256":"201f76e38dc16a4823e0e5080acd5ba867b66fc60700460f55a3061f13e37a82"},"schema_version":"1.0"},"canonical_sha256":"f9d8cd77f64e0ac85d40f6e05fbb61bbb9fd1e2d36f6f51bae8cf8899382bce8","source":{"kind":"arxiv","id":"1608.03568","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.03568","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"1608.03568v2","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03568","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"7HMM257WJYFM","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7HMM257WJYFMQXKA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7HMM257W","created_at":"2026-05-18T12:30:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:7HMM257WJYFMQXKA63QF7O3BXO","target":"record","payload":{"canonical_record":{"source":{"id":"1608.03568","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-11T19:01:43Z","cross_cats_sorted":["cond-mat.str-el","hep-th"],"title_canon_sha256":"5f18002414eceeeb26792ab44c30c81d3e1f2cae92ce1ba47ae9f5b0c49a43cb","abstract_canon_sha256":"201f76e38dc16a4823e0e5080acd5ba867b66fc60700460f55a3061f13e37a82"},"schema_version":"1.0"},"canonical_sha256":"f9d8cd77f64e0ac85d40f6e05fbb61bbb9fd1e2d36f6f51bae8cf8899382bce8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:44.247830Z","signature_b64":"2mq2wyJnNNQxfM3qSSColXT/RLp1GWZlnvNz+pdSt+fD67llKKun8scoXmN2xCQKdmXo2CV/34KVakbiLShLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9d8cd77f64e0ac85d40f6e05fbb61bbb9fd1e2d36f6f51bae8cf8899382bce8","last_reissued_at":"2026-05-18T00:42:44.247040Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:44.247040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.03568","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":"2026-05-18T00:42:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShG12WKTEplWLrVJ2UeuLxraD15X10EJhusbS/8IbS6Jvm1jinZgajvS0CbbuQAOh0/HRTvSLRskHG7PM1O6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:07:55.266792Z"},"content_sha256":"cc1c77d5e84a46195346a7e8d28d268920a648c44e3c6d15eda7c0f3a753cdb5","schema_version":"1.0","event_id":"sha256:cc1c77d5e84a46195346a7e8d28d268920a648c44e3c6d15eda7c0f3a753cdb5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:7HMM257WJYFMQXKA63QF7O3BXO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Berry Phase Physics in Free and Interacting Fermionic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el","hep-th"],"primary_cat":"cond-mat.mes-hall","authors_text":"Jing-Yuan Chen","submitted_at":"2016-08-11T19:01:43Z","abstract_excerpt":"Berry phase plays an important role in many non-trivial phenomena over a broad range of many-body systems. In this thesis we focus on the Berry phase due to the change of the particles' momenta, and study its effects in free and interacting fermionic systems. We start with reviewing the semi-classical kinetic theory with Berry phase for a non-interacting ensemble of fermions -- a Berry Fermi gas -- which might be far-from-equilibrium. We particularly review the famous Berry phase contribution to the anomalous Hall current. We then provide a concrete and general path integral derivation for the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03568","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":"2026-05-18T00:42:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wONinbGNmMgRnFYLMTy52/6y6kRvn3o9txa8A8eQ2p74Ix0vN4qy+SREjJMJuttR+nf78n+hnLCE3DMV20QKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:07:55.267154Z"},"content_sha256":"9274d24709fe1a012d81d8b3ea307485002e6d4b11af7b55f1dd16ba9217b3a7","schema_version":"1.0","event_id":"sha256:9274d24709fe1a012d81d8b3ea307485002e6d4b11af7b55f1dd16ba9217b3a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HMM257WJYFMQXKA63QF7O3BXO/bundle.json","state_url":"https://pith.science/pith/7HMM257WJYFMQXKA63QF7O3BXO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HMM257WJYFMQXKA63QF7O3BXO/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":"2026-06-11T09:07:55Z","links":{"resolver":"https://pith.science/pith/7HMM257WJYFMQXKA63QF7O3BXO","bundle":"https://pith.science/pith/7HMM257WJYFMQXKA63QF7O3BXO/bundle.json","state":"https://pith.science/pith/7HMM257WJYFMQXKA63QF7O3BXO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HMM257WJYFMQXKA63QF7O3BXO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:7HMM257WJYFMQXKA63QF7O3BXO","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":"201f76e38dc16a4823e0e5080acd5ba867b66fc60700460f55a3061f13e37a82","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-11T19:01:43Z","title_canon_sha256":"5f18002414eceeeb26792ab44c30c81d3e1f2cae92ce1ba47ae9f5b0c49a43cb"},"schema_version":"1.0","source":{"id":"1608.03568","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.03568","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"arxiv_version","alias_value":"1608.03568v2","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.03568","created_at":"2026-05-18T00:42:44Z"},{"alias_kind":"pith_short_12","alias_value":"7HMM257WJYFM","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"7HMM257WJYFMQXKA","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"7HMM257W","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:9274d24709fe1a012d81d8b3ea307485002e6d4b11af7b55f1dd16ba9217b3a7","target":"graph","created_at":"2026-05-18T00:42:44Z","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":"Berry phase plays an important role in many non-trivial phenomena over a broad range of many-body systems. In this thesis we focus on the Berry phase due to the change of the particles' momenta, and study its effects in free and interacting fermionic systems. We start with reviewing the semi-classical kinetic theory with Berry phase for a non-interacting ensemble of fermions -- a Berry Fermi gas -- which might be far-from-equilibrium. We particularly review the famous Berry phase contribution to the anomalous Hall current. We then provide a concrete and general path integral derivation for the","authors_text":"Jing-Yuan Chen","cross_cats":["cond-mat.str-el","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-11T19:01:43Z","title":"Berry Phase Physics in Free and Interacting Fermionic Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.03568","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:cc1c77d5e84a46195346a7e8d28d268920a648c44e3c6d15eda7c0f3a753cdb5","target":"record","created_at":"2026-05-18T00:42:44Z","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":"201f76e38dc16a4823e0e5080acd5ba867b66fc60700460f55a3061f13e37a82","cross_cats_sorted":["cond-mat.str-el","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-08-11T19:01:43Z","title_canon_sha256":"5f18002414eceeeb26792ab44c30c81d3e1f2cae92ce1ba47ae9f5b0c49a43cb"},"schema_version":"1.0","source":{"id":"1608.03568","kind":"arxiv","version":2}},"canonical_sha256":"f9d8cd77f64e0ac85d40f6e05fbb61bbb9fd1e2d36f6f51bae8cf8899382bce8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9d8cd77f64e0ac85d40f6e05fbb61bbb9fd1e2d36f6f51bae8cf8899382bce8","first_computed_at":"2026-05-18T00:42:44.247040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:44.247040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2mq2wyJnNNQxfM3qSSColXT/RLp1GWZlnvNz+pdSt+fD67llKKun8scoXmN2xCQKdmXo2CV/34KVakbiLShLCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:44.247830Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.03568","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc1c77d5e84a46195346a7e8d28d268920a648c44e3c6d15eda7c0f3a753cdb5","sha256:9274d24709fe1a012d81d8b3ea307485002e6d4b11af7b55f1dd16ba9217b3a7"],"state_sha256":"74d43208e9ed34973d1bbe9a9c6d620ea95038032c7816e23bbc62cb647936d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3HokU4tCqTDjc5KZD4L2Lg/ViB5mer37doagMz82CUY1HDDe3iaTv8HCe6oLvCrOUNkv/m0+V3tFiL/GmCCnBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T09:07:55.269199Z","bundle_sha256":"bd39abcdd8f6dd3d12e52f8d9f909695080315658147bfc16891e833bec0757c"}}