{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:OBOMRZCKSQUSH7ST4SVPSE4D3F","short_pith_number":"pith:OBOMRZCK","canonical_record":{"source":{"id":"1606.05581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-17T16:23:44Z","cross_cats_sorted":["cond-mat.other","math.MP"],"title_canon_sha256":"7553258da8e38c85cd6a3324de6d6945bf5edc8ec442e2e10bc5420e719ae1d2","abstract_canon_sha256":"7d3e08215cc3caf5df4a4415309ae2ea70aa5093324791e3feb7a5444c9374bb"},"schema_version":"1.0"},"canonical_sha256":"705cc8e44a942923fe53e4aaf91383d96f361c03ce9cd8dfcd6b1eb5629cd493","source":{"kind":"arxiv","id":"1606.05581","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05581","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05581v1","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05581","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"OBOMRZCKSQUS","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OBOMRZCKSQUSH7ST","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OBOMRZCK","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:OBOMRZCKSQUSH7ST4SVPSE4D3F","target":"record","payload":{"canonical_record":{"source":{"id":"1606.05581","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-17T16:23:44Z","cross_cats_sorted":["cond-mat.other","math.MP"],"title_canon_sha256":"7553258da8e38c85cd6a3324de6d6945bf5edc8ec442e2e10bc5420e719ae1d2","abstract_canon_sha256":"7d3e08215cc3caf5df4a4415309ae2ea70aa5093324791e3feb7a5444c9374bb"},"schema_version":"1.0"},"canonical_sha256":"705cc8e44a942923fe53e4aaf91383d96f361c03ce9cd8dfcd6b1eb5629cd493","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:36.024497Z","signature_b64":"c7KmApiVVBsgGjolrCgvJrZx9cBDzMQBa5ZehgYaAIeMXTP0+EA+e2npGnS74XVaP2B6K+V5Oe6lzRQLcDghCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"705cc8e44a942923fe53e4aaf91383d96f361c03ce9cd8dfcd6b1eb5629cd493","last_reissued_at":"2026-05-18T00:54:36.023764Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:36.023764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.05581","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:54:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K4KquXGEdz6Dbxz81Gul11AjKMsJbFWBEC8koQPkwvwNDCy6vTk3zMP44F88+D6fVr8Pmeh6pTIdNrSM36guCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T03:43:55.864755Z"},"content_sha256":"a2a1c7f13163b498673cbe9a7c5f9f40ee4d4b50810edab78aade23ce6ab666e","schema_version":"1.0","event_id":"sha256:a2a1c7f13163b498673cbe9a7c5f9f40ee4d4b50810edab78aade23ce6ab666e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:OBOMRZCKSQUSH7ST4SVPSE4D3F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2d Fu-Kane-Mele invariant as Wess-Zumino action of the sewing matrix","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP"],"primary_cat":"math-ph","authors_text":"Krzysztof Gawedzki","submitted_at":"2016-06-17T16:23:44Z","abstract_excerpt":"We show that the Fu-Kane-Mele invariant of the 2d time-reversal-invariant crystalline insulators is equal to the properly normalized Wess-Zumino action of the so-called sewing matrix field defined on the Brillouin torus. Applied to 3d, the result permits a direct proof of the known relation between the strong Fu-Kane-Mele invariant and the Chern-Simons action of the non-Abelian Berry connection on the bundle of valence states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05581","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:54:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bVrQTlHLV3gH/JFUb6sbqkOJT9+9j0A+TY9deLdjargOuz+mzn8t8QbLWUuYMoZU6ZzLAEa4v3LwyTNcJZFNDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T03:43:55.865493Z"},"content_sha256":"5dee43d7fcaa3fd992048563fa4f5df2df14739037dfb4caf4dc3a4a2ca5a3e0","schema_version":"1.0","event_id":"sha256:5dee43d7fcaa3fd992048563fa4f5df2df14739037dfb4caf4dc3a4a2ca5a3e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OBOMRZCKSQUSH7ST4SVPSE4D3F/bundle.json","state_url":"https://pith.science/pith/OBOMRZCKSQUSH7ST4SVPSE4D3F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OBOMRZCKSQUSH7ST4SVPSE4D3F/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":"2026-05-20T03:43:55Z","links":{"resolver":"https://pith.science/pith/OBOMRZCKSQUSH7ST4SVPSE4D3F","bundle":"https://pith.science/pith/OBOMRZCKSQUSH7ST4SVPSE4D3F/bundle.json","state":"https://pith.science/pith/OBOMRZCKSQUSH7ST4SVPSE4D3F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OBOMRZCKSQUSH7ST4SVPSE4D3F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:OBOMRZCKSQUSH7ST4SVPSE4D3F","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":"7d3e08215cc3caf5df4a4415309ae2ea70aa5093324791e3feb7a5444c9374bb","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-17T16:23:44Z","title_canon_sha256":"7553258da8e38c85cd6a3324de6d6945bf5edc8ec442e2e10bc5420e719ae1d2"},"schema_version":"1.0","source":{"id":"1606.05581","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.05581","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"arxiv_version","alias_value":"1606.05581v1","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.05581","created_at":"2026-05-18T00:54:36Z"},{"alias_kind":"pith_short_12","alias_value":"OBOMRZCKSQUS","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"OBOMRZCKSQUSH7ST","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"OBOMRZCK","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:5dee43d7fcaa3fd992048563fa4f5df2df14739037dfb4caf4dc3a4a2ca5a3e0","target":"graph","created_at":"2026-05-18T00:54:36Z","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 show that the Fu-Kane-Mele invariant of the 2d time-reversal-invariant crystalline insulators is equal to the properly normalized Wess-Zumino action of the so-called sewing matrix field defined on the Brillouin torus. Applied to 3d, the result permits a direct proof of the known relation between the strong Fu-Kane-Mele invariant and the Chern-Simons action of the non-Abelian Berry connection on the bundle of valence states.","authors_text":"Krzysztof Gawedzki","cross_cats":["cond-mat.other","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-17T16:23:44Z","title":"2d Fu-Kane-Mele invariant as Wess-Zumino action of the sewing matrix"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05581","kind":"arxiv","version":1},"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:a2a1c7f13163b498673cbe9a7c5f9f40ee4d4b50810edab78aade23ce6ab666e","target":"record","created_at":"2026-05-18T00:54:36Z","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":"7d3e08215cc3caf5df4a4415309ae2ea70aa5093324791e3feb7a5444c9374bb","cross_cats_sorted":["cond-mat.other","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-06-17T16:23:44Z","title_canon_sha256":"7553258da8e38c85cd6a3324de6d6945bf5edc8ec442e2e10bc5420e719ae1d2"},"schema_version":"1.0","source":{"id":"1606.05581","kind":"arxiv","version":1}},"canonical_sha256":"705cc8e44a942923fe53e4aaf91383d96f361c03ce9cd8dfcd6b1eb5629cd493","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"705cc8e44a942923fe53e4aaf91383d96f361c03ce9cd8dfcd6b1eb5629cd493","first_computed_at":"2026-05-18T00:54:36.023764Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:36.023764Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c7KmApiVVBsgGjolrCgvJrZx9cBDzMQBa5ZehgYaAIeMXTP0+EA+e2npGnS74XVaP2B6K+V5Oe6lzRQLcDghCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:36.024497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.05581","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2a1c7f13163b498673cbe9a7c5f9f40ee4d4b50810edab78aade23ce6ab666e","sha256:5dee43d7fcaa3fd992048563fa4f5df2df14739037dfb4caf4dc3a4a2ca5a3e0"],"state_sha256":"76f43c953fe5f7dda19484320fdc99999c242d460f1d5a1939a3189fbbd4a207"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s1lWfUapvQoVe9rRIx//NUULi7J+KlyYOFcEkE9QHO6cd2NiQu8w4Pls1Wo8A/88te7GwJUbC8CPccqWZREnCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T03:43:55.869233Z","bundle_sha256":"b9f06be6c58d7c3489d4e39ec67eeddd070a015848d735c980aa6e0e1a9d4c3b"}}