{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ASCCWBJB5M4VMXTTA6B664IU6O","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":"1f755a1c48a8c8b6c0e8b4f276a8b95e9573d8d34a7b545b88cf356efe2d4090","cross_cats_sorted":["cond-mat.str-el","hep-ph","math.AT","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T18:58:43Z","title_canon_sha256":"0c9af291b432eef39e6c2db2aa2901b56536df96e874cecf51873c8cbb9cdc5a"},"schema_version":"1.0","source":{"id":"1812.11967","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.11967","created_at":"2026-07-05T00:09:24Z"},{"alias_kind":"arxiv_version","alias_value":"1812.11967v2","created_at":"2026-07-05T00:09:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.11967","created_at":"2026-07-05T00:09:24Z"},{"alias_kind":"pith_short_12","alias_value":"ASCCWBJB5M4V","created_at":"2026-07-05T00:09:24Z"},{"alias_kind":"pith_short_16","alias_value":"ASCCWBJB5M4VMXTT","created_at":"2026-07-05T00:09:24Z"},{"alias_kind":"pith_short_8","alias_value":"ASCCWBJB","created_at":"2026-07-05T00:09:24Z"}],"graph_snapshots":[{"event_id":"sha256:98842ab63da7f1aaa9225a8b849b96f5adb1a01f3575ac4fcd8f5efda3628631","target":"graph","created_at":"2026-07-05T00:09:24Z","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/1812.11967/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"By developing a generalized cobordism theory, we explore the higher global symmetries and higher anomalies of quantum field theories and interacting fermionic/bosonic systems in condensed matter. Our essential math input is a generalization of Thom-Madsen-Tillmann spectra, Adams spectral sequence, and Freed-Hopkins's theorem, to incorporate higher-groups and higher classifying spaces. We provide many examples of bordism groups with a generic $H$-structure manifold with a higher-group $\\mathbb{G}$, and their bordism invariants --- e.g. perturbative anomalies of chiral fermions [originated from ","authors_text":"Juven Wang, Zheyan Wan","cross_cats":["cond-mat.str-el","hep-ph","math.AT","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T18:58:43Z","title":"Higher Anomalies, Higher Symmetries, and Cobordisms I: Classification of Higher-Symmetry-Protected Topological States and Their Boundary Fermionic/Bosonic Anomalies via a Generalized Cobordism Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.11967","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":"sha256:42f7d2822b072c8b40bab6f43da819b0b4f7387809a93392f99374ed32c9ac2e","target":"record","created_at":"2026-07-05T00:09:24Z","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":"1f755a1c48a8c8b6c0e8b4f276a8b95e9573d8d34a7b545b88cf356efe2d4090","cross_cats_sorted":["cond-mat.str-el","hep-ph","math.AT","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-31T18:58:43Z","title_canon_sha256":"0c9af291b432eef39e6c2db2aa2901b56536df96e874cecf51873c8cbb9cdc5a"},"schema_version":"1.0","source":{"id":"1812.11967","kind":"arxiv","version":2}},"canonical_sha256":"04842b0521eb39565e730783ef7114f3b64d0ae0bbceb320ef58873163642829","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04842b0521eb39565e730783ef7114f3b64d0ae0bbceb320ef58873163642829","first_computed_at":"2026-07-05T00:09:24.473743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:09:24.473743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A9sQ6C3v+dCsjmKfnDb3fynLkFpiJNnMgRx3oD8FHw9EFOOm9u3HxLqndf8ETm6Iv4jJW7v+APuBO1F2b7EXDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:09:24.474244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.11967","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42f7d2822b072c8b40bab6f43da819b0b4f7387809a93392f99374ed32c9ac2e","sha256:98842ab63da7f1aaa9225a8b849b96f5adb1a01f3575ac4fcd8f5efda3628631"],"state_sha256":"b4d985a08b3befaa63da7ba7e36f220f0b59f7b923471b58e0f74aae8b69be00"}