{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:HXTBVH3H2S3A4JGTSF5PM5PBK6","short_pith_number":"pith:HXTBVH3H","canonical_record":{"source":{"id":"1705.09298","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-25T18:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"f1c395eb527129812239a2fe5ca609c4b82314e75a729f06e8d95194814f61ef","abstract_canon_sha256":"38e91d41c8153433ce9ef0368ef2a37453d8c1e49afe0440906ba6f342c7d6ea"},"schema_version":"1.0"},"canonical_sha256":"3de61a9f67d4b60e24d3917af675e157a2f92ef4a436e239424d35c6c95257dd","source":{"kind":"arxiv","id":"1705.09298","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09298","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09298v2","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09298","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"pith_short_12","alias_value":"HXTBVH3H2S3A","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"pith_short_16","alias_value":"HXTBVH3H2S3A4JGT","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"pith_short_8","alias_value":"HXTBVH3H","created_at":"2026-07-05T00:37:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:HXTBVH3H2S3A4JGTSF5PM5PBK6","target":"record","payload":{"canonical_record":{"source":{"id":"1705.09298","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-25T18:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"f1c395eb527129812239a2fe5ca609c4b82314e75a729f06e8d95194814f61ef","abstract_canon_sha256":"38e91d41c8153433ce9ef0368ef2a37453d8c1e49afe0440906ba6f342c7d6ea"},"schema_version":"1.0"},"canonical_sha256":"3de61a9f67d4b60e24d3917af675e157a2f92ef4a436e239424d35c6c95257dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:37:41.779512Z","signature_b64":"Rk7rUR6eM17lTL2TkyIj1ELSXsWnr8ezmE8x0+PLrKky33V7rvEXFc46EkPnCxKND5irZzK1woatyhY7DFH3BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3de61a9f67d4b60e24d3917af675e157a2f92ef4a436e239424d35c6c95257dd","last_reissued_at":"2026-07-05T00:37:41.779118Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:37:41.779118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.09298","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":"2026-07-05T00:37:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SoOXa8AGTgzHskQtsJW+UfC44FpShytXp5cGMqOoyLhCEUKSbLEVHcez2ZzTmZmb3dPSvZcfWLnMl0aUh1VuBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:59:27.035898Z"},"content_sha256":"80b74a2b078ce88ce4efaef51804df2264bccda4c53f1b3dd49b9663b99fe767","schema_version":"1.0","event_id":"sha256:80b74a2b078ce88ce4efaef51804df2264bccda4c53f1b3dd49b9663b99fe767"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:HXTBVH3H2S3A4JGTSF5PM5PBK6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Filling-enforced constraint on the quantized Hall conductivity on a periodic lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Masaki Oshikawa, Ying Ran, Yuan-Ming Lu","submitted_at":"2017-05-25T18:00:03Z","abstract_excerpt":"We discuss quantum Hall effects in a gapped insulator on a periodic two-dimensional lattice. We derive a universal relation among the the quantized Hall conductivity, and charge and flux densities per physical unit cell. This follows from the magnetic translation symmetry and the large gauge invariance, and holds for a very general class of interacting many-body systems. It can be understood as a combination of Laughlin's gauge invariance argument and Lieb-Schultz-Mattis-type theorem. A variety of complementary arguments, based on a cut-and-glue procedure, the many-body electric polarization, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09298","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1705.09298/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":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":"2026-07-05T00:37:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iEzD9zOdBIj83vKXupKtGtD3RcfbIuZLImLYP9YTzwnAqpRTvc4RKCAUAzPsTnhFs/5VyQGHEsQ9XVzzrawUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:59:27.036521Z"},"content_sha256":"3f59ac1a58d89a8d24ff95f43ce1f3e531131a0a88efdf54f5abb086eab30757","schema_version":"1.0","event_id":"sha256:3f59ac1a58d89a8d24ff95f43ce1f3e531131a0a88efdf54f5abb086eab30757"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXTBVH3H2S3A4JGTSF5PM5PBK6/bundle.json","state_url":"https://pith.science/pith/HXTBVH3H2S3A4JGTSF5PM5PBK6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXTBVH3H2S3A4JGTSF5PM5PBK6/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":"2026-08-03T17:59:27Z","links":{"resolver":"https://pith.science/pith/HXTBVH3H2S3A4JGTSF5PM5PBK6","bundle":"https://pith.science/pith/HXTBVH3H2S3A4JGTSF5PM5PBK6/bundle.json","state":"https://pith.science/pith/HXTBVH3H2S3A4JGTSF5PM5PBK6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXTBVH3H2S3A4JGTSF5PM5PBK6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:HXTBVH3H2S3A4JGTSF5PM5PBK6","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":"38e91d41c8153433ce9ef0368ef2a37453d8c1e49afe0440906ba6f342c7d6ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-25T18:00:03Z","title_canon_sha256":"f1c395eb527129812239a2fe5ca609c4b82314e75a729f06e8d95194814f61ef"},"schema_version":"1.0","source":{"id":"1705.09298","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.09298","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"arxiv_version","alias_value":"1705.09298v2","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.09298","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"pith_short_12","alias_value":"HXTBVH3H2S3A","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"pith_short_16","alias_value":"HXTBVH3H2S3A4JGT","created_at":"2026-07-05T00:37:41Z"},{"alias_kind":"pith_short_8","alias_value":"HXTBVH3H","created_at":"2026-07-05T00:37:41Z"}],"graph_snapshots":[{"event_id":"sha256:3f59ac1a58d89a8d24ff95f43ce1f3e531131a0a88efdf54f5abb086eab30757","target":"graph","created_at":"2026-07-05T00:37:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1705.09298/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss quantum Hall effects in a gapped insulator on a periodic two-dimensional lattice. We derive a universal relation among the the quantized Hall conductivity, and charge and flux densities per physical unit cell. This follows from the magnetic translation symmetry and the large gauge invariance, and holds for a very general class of interacting many-body systems. It can be understood as a combination of Laughlin's gauge invariance argument and Lieb-Schultz-Mattis-type theorem. A variety of complementary arguments, based on a cut-and-glue procedure, the many-body electric polarization, ","authors_text":"Masaki Oshikawa, Ying Ran, Yuan-Ming Lu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-25T18:00:03Z","title":"Filling-enforced constraint on the quantized Hall conductivity on a periodic lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09298","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":"sha256:80b74a2b078ce88ce4efaef51804df2264bccda4c53f1b3dd49b9663b99fe767","target":"record","created_at":"2026-07-05T00:37:41Z","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":"38e91d41c8153433ce9ef0368ef2a37453d8c1e49afe0440906ba6f342c7d6ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-05-25T18:00:03Z","title_canon_sha256":"f1c395eb527129812239a2fe5ca609c4b82314e75a729f06e8d95194814f61ef"},"schema_version":"1.0","source":{"id":"1705.09298","kind":"arxiv","version":2}},"canonical_sha256":"3de61a9f67d4b60e24d3917af675e157a2f92ef4a436e239424d35c6c95257dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3de61a9f67d4b60e24d3917af675e157a2f92ef4a436e239424d35c6c95257dd","first_computed_at":"2026-07-05T00:37:41.779118Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:37:41.779118Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rk7rUR6eM17lTL2TkyIj1ELSXsWnr8ezmE8x0+PLrKky33V7rvEXFc46EkPnCxKND5irZzK1woatyhY7DFH3BA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:37:41.779512Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.09298","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80b74a2b078ce88ce4efaef51804df2264bccda4c53f1b3dd49b9663b99fe767","sha256:3f59ac1a58d89a8d24ff95f43ce1f3e531131a0a88efdf54f5abb086eab30757"],"state_sha256":"27dcc8640a5ec2c573b3848304dd0f8f5aba135cdd5063ff62c18c63b1a81463"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xixWkJcEPlVaGCrYFhBovA7RskGvYZ0KdBrFDv/AiO9MmpsNAYRTDXu7FC5urjN5mlZ10R9y4trQ1kObhu6cBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:59:27.041207Z","bundle_sha256":"60a67a76f4a67837fd74883e4be1a0d51bdfa87b53103f6099c09e53f94e7bf3"}}