{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7KAMNUXFQRHKH55ZTNV6G2ZQWI","short_pith_number":"pith:7KAMNUXF","canonical_record":{"source":{"id":"1804.04131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-04-11T18:00:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a4d37c882cfe98ac8a35a4f612b837f644b56b4b0e3da0fb9a35f75366058868","abstract_canon_sha256":"25dd66c0fe88691d521c0333da70df0c9918bb9ab8fe467f9f925e95e14bc9c9"},"schema_version":"1.0"},"canonical_sha256":"fa80c6d2e5844ea3f7b99b6be36b30b2303c65533caee988f0dda09363bc1de1","source":{"kind":"arxiv","id":"1804.04131","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04131","created_at":"2026-05-17T23:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04131v1","created_at":"2026-05-17T23:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04131","created_at":"2026-05-17T23:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"7KAMNUXFQRHK","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7KAMNUXFQRHKH55Z","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7KAMNUXF","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7KAMNUXFQRHKH55ZTNV6G2ZQWI","target":"record","payload":{"canonical_record":{"source":{"id":"1804.04131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-04-11T18:00:00Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a4d37c882cfe98ac8a35a4f612b837f644b56b4b0e3da0fb9a35f75366058868","abstract_canon_sha256":"25dd66c0fe88691d521c0333da70df0c9918bb9ab8fe467f9f925e95e14bc9c9"},"schema_version":"1.0"},"canonical_sha256":"fa80c6d2e5844ea3f7b99b6be36b30b2303c65533caee988f0dda09363bc1de1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:32.849576Z","signature_b64":"dtO+zlyLK/7DydpAUkmt4EimybOekFn3dmAANnT4G6+IxTquTSHTsVJHH9df18+BqOjUvWv08wuSeBogY2vkCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa80c6d2e5844ea3f7b99b6be36b30b2303c65533caee988f0dda09363bc1de1","last_reissued_at":"2026-05-17T23:59:32.848886Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:32.848886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.04131","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":"2026-05-17T23:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xFBAqBFaokllLgCIVrua30C19dt/FiW0q8SMwu6VLrPuFq1NOL6OSzFHMvbWnqArhG9F2+Eb09BiKERI9Id8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:51:22.515472Z"},"content_sha256":"64bb5ba1a28b006d09baac914ede9b3f8a5b1d356a0efbd8d918d0c80a4b945d","schema_version":"1.0","event_id":"sha256:64bb5ba1a28b006d09baac914ede9b3f8a5b1d356a0efbd8d918d0c80a4b945d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7KAMNUXFQRHKH55ZTNV6G2ZQWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"No-go theorem for topological insulators and sure-fire recipe for Chern insulators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.mes-hall","authors_text":"A. Alexandradinata, J. H\\\"oller","submitted_at":"2018-04-11T18:00:00Z","abstract_excerpt":"For any symmorphic magnetic space group $G$, it is proven that topological band insulators with vanishing first Chern numbers cannot have a groundstate composed of a single, energetically-isolated band. This no-go statement implies that the minimal dimension of tight-binding Hamiltonians for such topological insulators is four if the groundstate is stable to addition of trivial bands, and three if the groundstate is unstable. A sure-fire recipe is provided to design models for Chern and unstable topological insulators by splitting elementary band representations; this recipe, combined with rec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04131","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":"2026-05-17T23:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EimkNaoOaBD0lHKFME4l7snpdRtkT8Cpov9l1f4ieLztDDiwIwKRTy1OpcfXGpO6L3f4ik/sRoUkEcUzVdtQDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:51:22.515822Z"},"content_sha256":"2fe294055558df2551634c50810abbd17d8d567a7cf8e4f11e48aa562c015850","schema_version":"1.0","event_id":"sha256:2fe294055558df2551634c50810abbd17d8d567a7cf8e4f11e48aa562c015850"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KAMNUXFQRHKH55ZTNV6G2ZQWI/bundle.json","state_url":"https://pith.science/pith/7KAMNUXFQRHKH55ZTNV6G2ZQWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KAMNUXFQRHKH55ZTNV6G2ZQWI/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":"2026-06-20T03:51:22Z","links":{"resolver":"https://pith.science/pith/7KAMNUXFQRHKH55ZTNV6G2ZQWI","bundle":"https://pith.science/pith/7KAMNUXFQRHKH55ZTNV6G2ZQWI/bundle.json","state":"https://pith.science/pith/7KAMNUXFQRHKH55ZTNV6G2ZQWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KAMNUXFQRHKH55ZTNV6G2ZQWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7KAMNUXFQRHKH55ZTNV6G2ZQWI","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":"25dd66c0fe88691d521c0333da70df0c9918bb9ab8fe467f9f925e95e14bc9c9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-04-11T18:00:00Z","title_canon_sha256":"a4d37c882cfe98ac8a35a4f612b837f644b56b4b0e3da0fb9a35f75366058868"},"schema_version":"1.0","source":{"id":"1804.04131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04131","created_at":"2026-05-17T23:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04131v1","created_at":"2026-05-17T23:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04131","created_at":"2026-05-17T23:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"7KAMNUXFQRHK","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7KAMNUXFQRHKH55Z","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7KAMNUXF","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:2fe294055558df2551634c50810abbd17d8d567a7cf8e4f11e48aa562c015850","target":"graph","created_at":"2026-05-17T23:59:32Z","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":"For any symmorphic magnetic space group $G$, it is proven that topological band insulators with vanishing first Chern numbers cannot have a groundstate composed of a single, energetically-isolated band. This no-go statement implies that the minimal dimension of tight-binding Hamiltonians for such topological insulators is four if the groundstate is stable to addition of trivial bands, and three if the groundstate is unstable. A sure-fire recipe is provided to design models for Chern and unstable topological insulators by splitting elementary band representations; this recipe, combined with rec","authors_text":"A. Alexandradinata, J. H\\\"oller","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-04-11T18:00:00Z","title":"No-go theorem for topological insulators and sure-fire recipe for Chern insulators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04131","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":"sha256:64bb5ba1a28b006d09baac914ede9b3f8a5b1d356a0efbd8d918d0c80a4b945d","target":"record","created_at":"2026-05-17T23:59:32Z","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":"25dd66c0fe88691d521c0333da70df0c9918bb9ab8fe467f9f925e95e14bc9c9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2018-04-11T18:00:00Z","title_canon_sha256":"a4d37c882cfe98ac8a35a4f612b837f644b56b4b0e3da0fb9a35f75366058868"},"schema_version":"1.0","source":{"id":"1804.04131","kind":"arxiv","version":1}},"canonical_sha256":"fa80c6d2e5844ea3f7b99b6be36b30b2303c65533caee988f0dda09363bc1de1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa80c6d2e5844ea3f7b99b6be36b30b2303c65533caee988f0dda09363bc1de1","first_computed_at":"2026-05-17T23:59:32.848886Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:32.848886Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dtO+zlyLK/7DydpAUkmt4EimybOekFn3dmAANnT4G6+IxTquTSHTsVJHH9df18+BqOjUvWv08wuSeBogY2vkCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:32.849576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.04131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64bb5ba1a28b006d09baac914ede9b3f8a5b1d356a0efbd8d918d0c80a4b945d","sha256:2fe294055558df2551634c50810abbd17d8d567a7cf8e4f11e48aa562c015850"],"state_sha256":"b22def3bbd04980d91baf243ffdf6ff2e312b9abbb7af5964c55c35222a2100d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f0voUHUQrahx5Jh1ak0wsBirSG8NZTeBbK5IR0fhJwkTBZ7jUOLYoYrjBdYNk7Yw8mVDo8Om3jZbRKmT8pboDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T03:51:22.518027Z","bundle_sha256":"023f99d3ff77c516c779a9bc43e60a923ee6f5ed5312758747ba64353d7d4213"}}