{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:43L4COHVREGMEN5XHWKXYHEAE2","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":"da49d71617a64fa3861e2bc462caad086d23dbdbf8be11449a5c9e038c29acb7","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-11-29T16:49:36Z","title_canon_sha256":"40c3b663f4b95d6f0d59f33ba2158e69c16f793476958ab92aefcc50545452fd"},"schema_version":"1.0","source":{"id":"2311.17799","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.17799","created_at":"2026-07-05T10:42:33Z"},{"alias_kind":"arxiv_version","alias_value":"2311.17799v1","created_at":"2026-07-05T10:42:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.17799","created_at":"2026-07-05T10:42:33Z"},{"alias_kind":"pith_short_12","alias_value":"43L4COHVREGM","created_at":"2026-07-05T10:42:33Z"},{"alias_kind":"pith_short_16","alias_value":"43L4COHVREGMEN5X","created_at":"2026-07-05T10:42:33Z"},{"alias_kind":"pith_short_8","alias_value":"43L4COHV","created_at":"2026-07-05T10:42:33Z"}],"graph_snapshots":[{"event_id":"sha256:b9f483acd747c121ab7d024856282f8bd167a87678e9de049bced0cb331e842d","target":"graph","created_at":"2026-07-05T10:42:33Z","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/2311.17799/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Symmetry-protected topological phases (SPTs) characterized by short-range entanglement include many states essential to understanding of topological condensed matter physics, and the extension to gapless SPTs provides essential understanding of their consequences. In this work, we identify a fundamental connection between gapless SPTs and recently-introduced multiplicative topological phases, demonstrating that multiplicative topological phases are an intuitive and general approach to realizing concrete models for gapless SPTs. In particular, they are naturally well-suited to realizing higher-","authors_text":"Ashley M. Cook, Elio J. K\\\"onig, R. Flores-Calder\\'on","cross_cats":["cond-mat.mes-hall","cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-11-29T16:49:36Z","title":"Topological quantum criticality from multiplicative topological phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.17799","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:fcd9845df15f5343762a876d0b9a30c3c453e0d2bae500aa98746d4e84244029","target":"record","created_at":"2026-07-05T10:42:33Z","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":"da49d71617a64fa3861e2bc462caad086d23dbdbf8be11449a5c9e038c29acb7","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2023-11-29T16:49:36Z","title_canon_sha256":"40c3b663f4b95d6f0d59f33ba2158e69c16f793476958ab92aefcc50545452fd"},"schema_version":"1.0","source":{"id":"2311.17799","kind":"arxiv","version":1}},"canonical_sha256":"e6d7c138f5890cc237b73d957c1c8026b0222208319663c525b3c95fec12eacf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6d7c138f5890cc237b73d957c1c8026b0222208319663c525b3c95fec12eacf","first_computed_at":"2026-07-05T10:42:33.881733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:42:33.881733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qQNCg/ojyir9PAD7dGqLYLdpnzBn6CB6d+26JusC2UJkb1Qu6Z9EJn8m0IXW0KFzoh5cyI/D1C/Nsp5eHBMGAg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:42:33.882178Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.17799","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcd9845df15f5343762a876d0b9a30c3c453e0d2bae500aa98746d4e84244029","sha256:b9f483acd747c121ab7d024856282f8bd167a87678e9de049bced0cb331e842d"],"state_sha256":"17c197e4f3a4236dc50905fd47aafd0e6b51099e2e9c918f84ab68034dc1088a"}