{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:IMQKP6HTA2E66U5QNFB6GCTA7M","short_pith_number":"pith:IMQKP6HT","schema_version":"1.0","canonical_sha256":"4320a7f8f30689ef53b06943e30a60fb2f255ec61a951fd8d4d9a8a6cff69210","source":{"kind":"arxiv","id":"1409.3862","version":1},"attestation_state":"computed","paper":{"title":"Long Range Topological Order, the Chiral Condensate, and the Berry Connection in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"H. B. Thacker","submitted_at":"2014-09-12T20:48:18Z","abstract_excerpt":"Topological insulators are substances which are bulk insulators but which carry current via special \"topologically protected\" edge states. The understanding of long range topological order in these systems is built around the idea of a Berry connection, which is a gauge connection obtained from the phase of the electron wave function transported over momentum space rather than coordinate space. The phase of a closed Wilson loop of the Berry connection around the Brillouin zone defines a topological order parameter which labels discrete flux vacua. The conducting states are surface modes on the"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1409.3862","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-09-12T20:48:18Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"910eedb5b8becbecae2cd4a0ed2dcac6ea535ee6abe5d9ca033fbaf968ab656c","abstract_canon_sha256":"614be0002147e622306d9ca0bbb523657c3fab0865b7c734027d04736259e11c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:53.485540Z","signature_b64":"nzwnUb1Bt+86nUoUAJra3ACki3CQVR04/kbGi9ozgAf2HUhgpmLhp4J0tP5elBkxL/qpvDdqCvv0JlOyf1i+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4320a7f8f30689ef53b06943e30a60fb2f255ec61a951fd8d4d9a8a6cff69210","last_reissued_at":"2026-05-18T02:42:53.485122Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:53.485122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Long Range Topological Order, the Chiral Condensate, and the Berry Connection in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"H. B. Thacker","submitted_at":"2014-09-12T20:48:18Z","abstract_excerpt":"Topological insulators are substances which are bulk insulators but which carry current via special \"topologically protected\" edge states. The understanding of long range topological order in these systems is built around the idea of a Berry connection, which is a gauge connection obtained from the phase of the electron wave function transported over momentum space rather than coordinate space. The phase of a closed Wilson loop of the Berry connection around the Brillouin zone defines a topological order parameter which labels discrete flux vacua. The conducting states are surface modes on the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.3862","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1409.3862","created_at":"2026-05-18T02:42:53.485193+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.3862v1","created_at":"2026-05-18T02:42:53.485193+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.3862","created_at":"2026-05-18T02:42:53.485193+00:00"},{"alias_kind":"pith_short_12","alias_value":"IMQKP6HTA2E6","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"IMQKP6HTA2E66U5Q","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"IMQKP6HT","created_at":"2026-05-18T12:28:33.132498+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M","json":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M.json","graph_json":"https://pith.science/api/pith-number/IMQKP6HTA2E66U5QNFB6GCTA7M/graph.json","events_json":"https://pith.science/api/pith-number/IMQKP6HTA2E66U5QNFB6GCTA7M/events.json","paper":"https://pith.science/paper/IMQKP6HT"},"agent_actions":{"view_html":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M","download_json":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M.json","view_paper":"https://pith.science/paper/IMQKP6HT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.3862&json=true","fetch_graph":"https://pith.science/api/pith-number/IMQKP6HTA2E66U5QNFB6GCTA7M/graph.json","fetch_events":"https://pith.science/api/pith-number/IMQKP6HTA2E66U5QNFB6GCTA7M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M/action/storage_attestation","attest_author":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M/action/author_attestation","sign_citation":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M/action/citation_signature","submit_replication":"https://pith.science/pith/IMQKP6HTA2E66U5QNFB6GCTA7M/action/replication_record"}},"created_at":"2026-05-18T02:42:53.485193+00:00","updated_at":"2026-05-18T02:42:53.485193+00:00"}