{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VOJBHBSNCAFLGFAOK2DJVPIUKD","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":"b23c126b4a0860c9ab6aaf0f2fd02844c76c30961d3937dcb7d0d8784c17d635","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-30T21:00:01Z","title_canon_sha256":"914a97d2720970f25fd85f90a938228d3aeec0fc70db0ad017b401d12259ae0a"},"schema_version":"1.0","source":{"id":"1701.00004","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.00004","created_at":"2026-05-18T00:04:08Z"},{"alias_kind":"arxiv_version","alias_value":"1701.00004v3","created_at":"2026-05-18T00:04:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.00004","created_at":"2026-05-18T00:04:08Z"},{"alias_kind":"pith_short_12","alias_value":"VOJBHBSNCAFL","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VOJBHBSNCAFLGFAO","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VOJBHBSN","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:1c34ee01f7360d57ca3b221c4e205765c6b1f36fd15f009902855b85ca8d9ec7","target":"graph","created_at":"2026-05-18T00:04:08Z","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":"A number of proposals with differing predictions (e.g. Borel group cohomology, oriented cobordism, group supercohomology, spin cobordism, etc.) have been made for the classification of symmetry protected topological (SPT) phases. Here we treat various proposals on an equal footing and present rigorous, general results that are independent of which proposal is correct. We do so by formulating a minimalist Generalized Cohomology Hypothesis, which is satisfied by existing proposals and captures essential aspects of SPT classification. From this Hypothesis alone, formulas relating classifications ","authors_text":"Charles Zhaoxi Xiong","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-30T21:00:01Z","title":"Minimalist approach to the classification of symmetry protected topological phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.00004","kind":"arxiv","version":3},"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:a0af255519727c257979a6595533fa9b601ed5c248b6e57361c0351ae8086ef8","target":"record","created_at":"2026-05-18T00:04:08Z","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":"b23c126b4a0860c9ab6aaf0f2fd02844c76c30961d3937dcb7d0d8784c17d635","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2016-12-30T21:00:01Z","title_canon_sha256":"914a97d2720970f25fd85f90a938228d3aeec0fc70db0ad017b401d12259ae0a"},"schema_version":"1.0","source":{"id":"1701.00004","kind":"arxiv","version":3}},"canonical_sha256":"ab9213864d100ab3140e56869abd1450f3f0acaf37a57968bbed8fb2caeefbef","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab9213864d100ab3140e56869abd1450f3f0acaf37a57968bbed8fb2caeefbef","first_computed_at":"2026-05-18T00:04:08.481811Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:08.481811Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T9Jx/ZLSEaeUL92+wYwVE5R7lvDXGBiOzfBkYm6ZY7/AQ9OTrVZLktnrBZGP82yuPh2IJLwSIRhplFglfuoYAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:08.482432Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.00004","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0af255519727c257979a6595533fa9b601ed5c248b6e57361c0351ae8086ef8","sha256:1c34ee01f7360d57ca3b221c4e205765c6b1f36fd15f009902855b85ca8d9ec7"],"state_sha256":"29024a40bede0c25572e70373532e808fb1ef24f34cbb5847ca7b25f11676bf8"}