{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:AQPCPHF3AXQNQTB6R6F7WWAX6F","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":"7e7f1236e89ba0366f1103342519e33bb4dbbc31bedfac465d668fc3142df34b","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-09-04T18:03:57Z","title_canon_sha256":"c04f7845310ba31c5304deb20134ff5e750ac92c48567d41ee23d7f9c655b138"},"schema_version":"1.0","source":{"id":"2509.04581","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.04581","created_at":"2026-06-03T01:05:05Z"},{"alias_kind":"arxiv_version","alias_value":"2509.04581v3","created_at":"2026-06-03T01:05:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.04581","created_at":"2026-06-03T01:05:05Z"},{"alias_kind":"pith_short_12","alias_value":"AQPCPHF3AXQN","created_at":"2026-06-03T01:05:05Z"},{"alias_kind":"pith_short_16","alias_value":"AQPCPHF3AXQNQTB6","created_at":"2026-06-03T01:05:05Z"},{"alias_kind":"pith_short_8","alias_value":"AQPCPHF3","created_at":"2026-06-03T01:05:05Z"}],"graph_snapshots":[{"event_id":"sha256:09e96a623a020c5eabf08ff21a4e4f10f37a8035231f7ce9e4656d2a0017bb23","target":"graph","created_at":"2026-06-03T01:05:05Z","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/2509.04581/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It has been suggested that non-invertible symmetry protected topological phases (SPT), due to the lack of a stacking structure, do not have symmetric entanglers (globally symmetric finite-depth quantum circuits) connecting them. Using topological holography, we argue that a symmetric entangler should in fact exist for $1+1$d systems whenever the non-invertible symmetry has SPT phases connected by fixed-charge dualities (FCD). Moreover, we construct an explicit example of a symmetric entangler for the two SPT phases with $\\mathrm{Rep}(A_4)$-symmetry, as a matrix product unitary (MPU).","authors_text":"Minyoung You","cross_cats":["hep-th","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-09-04T18:03:57Z","title":"Symmetric entanglers for non-invertible SPT phases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.04581","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":"sha256:973faac85b61b1fca7a39eabc02acc3421f1aad7dec3401a1630ea8f0bd2b86a","target":"record","created_at":"2026-06-03T01:05:05Z","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":"7e7f1236e89ba0366f1103342519e33bb4dbbc31bedfac465d668fc3142df34b","cross_cats_sorted":["hep-th","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2025-09-04T18:03:57Z","title_canon_sha256":"c04f7845310ba31c5304deb20134ff5e750ac92c48567d41ee23d7f9c655b138"},"schema_version":"1.0","source":{"id":"2509.04581","kind":"arxiv","version":3}},"canonical_sha256":"041e279cbb05e0d84c3e8f8bfb5817f16a6135b8e8e06935c17d86ccdf56942b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"041e279cbb05e0d84c3e8f8bfb5817f16a6135b8e8e06935c17d86ccdf56942b","first_computed_at":"2026-06-03T01:05:05.818689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:05.818689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B6WC33CGU6U+eQ3D6V7zHZvDfKWavR1pZbuItJ42wvBEU2g3i3RKaKdfnd5GKDEwe4okj63J+3zmoQe+iwb/Bg==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:05.819176Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.04581","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:973faac85b61b1fca7a39eabc02acc3421f1aad7dec3401a1630ea8f0bd2b86a","sha256:09e96a623a020c5eabf08ff21a4e4f10f37a8035231f7ce9e4656d2a0017bb23"],"state_sha256":"58060af16b676fd8a2227659c2cb74d7039f1d70f941d82c3be8fbb02a601c2e"}