{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:AS73S5MVXUGMPQ46RMJJ4R2XEL","short_pith_number":"pith:AS73S5MV","schema_version":"1.0","canonical_sha256":"04bfb97595bd0cc7c39e8b129e475722e89a44703e352d27abd0c0d75643e8ff","source":{"kind":"arxiv","id":"2506.11288","version":1},"attestation_state":"computed","paper":{"title":"Bulk Excitations of Invertible Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"David T. Stephen, Michael Levin, Wenjie Ji, Xie Chen","submitted_at":"2025-06-12T20:46:36Z","abstract_excerpt":"Recent developments in the study of topological defects highlight the importance of understanding the multi-dimensional structure of bulk excitations inside a quantum system. When the bulk ground state is trivial, i.e. a product state, excitations on top of it are decoupled from each other and correspond to lower-dimensional phases and their defects within. In this paper, we expand the discussion to invertible phases and study the bulk excitations in, for example, SPT phases, Majorana chains, p + ip superconductors etc. We find that there is a one-to-one correspondence between bulk excitations"},"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":"2506.11288","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-06-12T20:46:36Z","cross_cats_sorted":[],"title_canon_sha256":"835a7b1f3e8494dc54305e0bfe1790b954260afa8670228401c265dfb054a6cc","abstract_canon_sha256":"87243486d7e8a2e161b366620c701bf056c2b7b788e1293f79e59f3425176055"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:21:02.113583Z","signature_b64":"hxMR5eTVabQIQygPCYlYDRL1bmRGOj7/BJnB7Jv3XtDy7T0wZZ7ny3jx1R05WFrP9dpmmiekTMwGVHTMFTdHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04bfb97595bd0cc7c39e8b129e475722e89a44703e352d27abd0c0d75643e8ff","last_reissued_at":"2026-07-05T11:21:02.113109Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:21:02.113109Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bulk Excitations of Invertible Phases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"David T. Stephen, Michael Levin, Wenjie Ji, Xie Chen","submitted_at":"2025-06-12T20:46:36Z","abstract_excerpt":"Recent developments in the study of topological defects highlight the importance of understanding the multi-dimensional structure of bulk excitations inside a quantum system. When the bulk ground state is trivial, i.e. a product state, excitations on top of it are decoupled from each other and correspond to lower-dimensional phases and their defects within. In this paper, we expand the discussion to invertible phases and study the bulk excitations in, for example, SPT phases, Majorana chains, p + ip superconductors etc. We find that there is a one-to-one correspondence between bulk excitations"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.11288","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.11288/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2506.11288","created_at":"2026-07-05T11:21:02.113165+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.11288v1","created_at":"2026-07-05T11:21:02.113165+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.11288","created_at":"2026-07-05T11:21:02.113165+00:00"},{"alias_kind":"pith_short_12","alias_value":"AS73S5MVXUGM","created_at":"2026-07-05T11:21:02.113165+00:00"},{"alias_kind":"pith_short_16","alias_value":"AS73S5MVXUGMPQ46","created_at":"2026-07-05T11:21:02.113165+00:00"},{"alias_kind":"pith_short_8","alias_value":"AS73S5MV","created_at":"2026-07-05T11:21:02.113165+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2510.00587","citing_title":"Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle","ref_index":44,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL","json":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL.json","graph_json":"https://pith.science/api/pith-number/AS73S5MVXUGMPQ46RMJJ4R2XEL/graph.json","events_json":"https://pith.science/api/pith-number/AS73S5MVXUGMPQ46RMJJ4R2XEL/events.json","paper":"https://pith.science/paper/AS73S5MV"},"agent_actions":{"view_html":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL","download_json":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL.json","view_paper":"https://pith.science/paper/AS73S5MV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.11288&json=true","fetch_graph":"https://pith.science/api/pith-number/AS73S5MVXUGMPQ46RMJJ4R2XEL/graph.json","fetch_events":"https://pith.science/api/pith-number/AS73S5MVXUGMPQ46RMJJ4R2XEL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL/action/storage_attestation","attest_author":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL/action/author_attestation","sign_citation":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL/action/citation_signature","submit_replication":"https://pith.science/pith/AS73S5MVXUGMPQ46RMJJ4R2XEL/action/replication_record"}},"created_at":"2026-07-05T11:21:02.113165+00:00","updated_at":"2026-07-05T11:21:02.113165+00:00"}