{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EIVSWSKE37T23B2J2NTGVBGKCB","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":"fd4b36be75750ef098438c8b5a5625939f5e7d602b19aeacc4c542724fa9db00","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-12T21:45:08Z","title_canon_sha256":"ec7e8a80badeca11f6e83b8153f5913fb492f7cd696fbd1e0272e12adcb5a38f"},"schema_version":"1.0","source":{"id":"1710.04730","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.04730","created_at":"2026-05-18T00:12:19Z"},{"alias_kind":"arxiv_version","alias_value":"1710.04730v1","created_at":"2026-05-18T00:12:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.04730","created_at":"2026-05-18T00:12:19Z"},{"alias_kind":"pith_short_12","alias_value":"EIVSWSKE37T2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EIVSWSKE37T23B2J","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EIVSWSKE","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:9c61d7e4fa58862c79f8d6a7d23ff2a2bd63ba0f2b3d7ef4b5d415ed1c7d06bf","target":"graph","created_at":"2026-05-18T00:12:19Z","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 analyze $2+1d$ and $3+1d$ Bosonic Symmetry Protected Topological (SPT) phases of matter protected by onsite symmetry group $G$ by using dual bulk and boundary approaches. In the bulk we study an effective field theory which upon coupling to a background flat $G$ gauge field furnishes a purely topological response theory. The response action evaluated on certain manifolds, with appropriate choice of background gauge field, defines a set of SPT topological invariants. Further, SPTs can be gauged by summing over all isomorphism classes of flat $G$ gauge fields to obtain Dijkgraaf-Witten topolo","authors_text":"Apoorv Tiwari, Ken Shiozaki, Shinsei Ryu, Xiao Chen","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-12T21:45:08Z","title":"Bosonic topological phases of matter: bulk-boundary correspondence, SPT invariants and gauging"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04730","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:a8c0f67086f1060a22ed0f8b3ee89b05ebd061334fb49129075e8ea1e32b0493","target":"record","created_at":"2026-05-18T00:12:19Z","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":"fd4b36be75750ef098438c8b5a5625939f5e7d602b19aeacc4c542724fa9db00","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2017-10-12T21:45:08Z","title_canon_sha256":"ec7e8a80badeca11f6e83b8153f5913fb492f7cd696fbd1e0272e12adcb5a38f"},"schema_version":"1.0","source":{"id":"1710.04730","kind":"arxiv","version":1}},"canonical_sha256":"222b2b4944dfe7ad8749d3666a84ca107b098edb435fb1adbf1851897fbfd291","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"222b2b4944dfe7ad8749d3666a84ca107b098edb435fb1adbf1851897fbfd291","first_computed_at":"2026-05-18T00:12:19.232637Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:19.232637Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g7UzTwFVRX8aTLZLZ+ERoJwWnvyNxI3z1yOFE7O4lMgO6Lhsu/wyHMfKMqcpGIMkyPufz3zfNzArcgsyz+c8CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:19.233527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.04730","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8c0f67086f1060a22ed0f8b3ee89b05ebd061334fb49129075e8ea1e32b0493","sha256:9c61d7e4fa58862c79f8d6a7d23ff2a2bd63ba0f2b3d7ef4b5d415ed1c7d06bf"],"state_sha256":"c5154f77750ebbd6bf1599c396aaf60bd057455d03af4d7d8b6396122695c162"}