{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZVT32XMTBS5XGFKST2XSLS72KC","short_pith_number":"pith:ZVT32XMT","schema_version":"1.0","canonical_sha256":"cd67bd5d930cbb7315529eaf25cbfa508b37619fbdec2fffdc0bc8ddbce18c69","source":{"kind":"arxiv","id":"1511.02929","version":1},"attestation_state":"computed","paper":{"title":"Higher SPT's and a generalization of anomaly in-flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Curt von Keyserlingk, Ryan Thorngren","submitted_at":"2015-11-09T23:32:30Z","abstract_excerpt":"Symmetry protected topological (SPT) phases of bosons in $d$ spatial dimensions have been characterized by the action of the protecting global symmetry $G$ on their boundary. The symmetry acts on the boundary in a way that would be impossible to realize in a purely $d-1$ dimensional system i.e., without the bulk. This is often formalized by saying the $G$ symmetry is anomalous when the boundary theory is gauged. Simultaneously gauging the symmetry on the boundary and in the bulk yields a gauge-invariant composite system. One says there is an anomaly in-flow from the boundary to the bulk. Recen"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1511.02929","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2015-11-09T23:32:30Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"bddba3e02c3b8b9b4e6ddb7bbb9f28cac8d64d07217066960f99f34cac92a7ae","abstract_canon_sha256":"1b33ed7edd3e842a8e553b477502a91071da7bf7a12ab4b69fb2917466c0fc92"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:17.427093Z","signature_b64":"mk8GmgXTFzWqjEqzPDR510r09jd6qS5ZTcelGrmE/x90VhjIv85Y6BDNm/piFlAyLfQMe2mVupjxGcF17fzZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd67bd5d930cbb7315529eaf25cbfa508b37619fbdec2fffdc0bc8ddbce18c69","last_reissued_at":"2026-05-18T01:27:17.426600Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:17.426600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher SPT's and a generalization of anomaly in-flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Curt von Keyserlingk, Ryan Thorngren","submitted_at":"2015-11-09T23:32:30Z","abstract_excerpt":"Symmetry protected topological (SPT) phases of bosons in $d$ spatial dimensions have been characterized by the action of the protecting global symmetry $G$ on their boundary. The symmetry acts on the boundary in a way that would be impossible to realize in a purely $d-1$ dimensional system i.e., without the bulk. This is often formalized by saying the $G$ symmetry is anomalous when the boundary theory is gauged. Simultaneously gauging the symmetry on the boundary and in the bulk yields a gauge-invariant composite system. One says there is an anomaly in-flow from the boundary to the bulk. Recen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.02929","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.02929","created_at":"2026-05-18T01:27:17.426681+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.02929v1","created_at":"2026-05-18T01:27:17.426681+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.02929","created_at":"2026-05-18T01:27:17.426681+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZVT32XMTBS5X","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZVT32XMTBS5XGFKS","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZVT32XMT","created_at":"2026-05-18T12:29:52.810259+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2205.09545","citing_title":"Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond","ref_index":54,"is_internal_anchor":true},{"citing_arxiv_id":"2605.06287","citing_title":"Half-Spacetime Gauging of 2-Group Symmetry in 3d","ref_index":20,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC","json":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC.json","graph_json":"https://pith.science/api/pith-number/ZVT32XMTBS5XGFKST2XSLS72KC/graph.json","events_json":"https://pith.science/api/pith-number/ZVT32XMTBS5XGFKST2XSLS72KC/events.json","paper":"https://pith.science/paper/ZVT32XMT"},"agent_actions":{"view_html":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC","download_json":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC.json","view_paper":"https://pith.science/paper/ZVT32XMT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.02929&json=true","fetch_graph":"https://pith.science/api/pith-number/ZVT32XMTBS5XGFKST2XSLS72KC/graph.json","fetch_events":"https://pith.science/api/pith-number/ZVT32XMTBS5XGFKST2XSLS72KC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC/action/storage_attestation","attest_author":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC/action/author_attestation","sign_citation":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC/action/citation_signature","submit_replication":"https://pith.science/pith/ZVT32XMTBS5XGFKST2XSLS72KC/action/replication_record"}},"created_at":"2026-05-18T01:27:17.426681+00:00","updated_at":"2026-05-18T01:27:17.426681+00:00"}