{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:6ZBGFK33UWZJFIWZVYOOAMA2AO","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":"95202815520f5bea926fa65f2d7b0b8cdcc8d17314ca74fb72702b011100cf39","cross_cats_sorted":["math.QA","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-11-29T19:00:02Z","title_canon_sha256":"5de9440f1ecee715e9d8f78677d6865928c5cce4ec40b0f07957b4966a07597a"},"schema_version":"1.0","source":{"id":"2111.14868","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2111.14868","created_at":"2026-07-05T05:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"2111.14868v4","created_at":"2026-07-05T05:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2111.14868","created_at":"2026-07-05T05:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"6ZBGFK33UWZJ","created_at":"2026-07-05T05:00:39Z"},{"alias_kind":"pith_short_16","alias_value":"6ZBGFK33UWZJFIWZ","created_at":"2026-07-05T05:00:39Z"},{"alias_kind":"pith_short_8","alias_value":"6ZBGFK33","created_at":"2026-07-05T05:00:39Z"}],"graph_snapshots":[{"event_id":"sha256:fb5775667b076f176e50eacf7ff1e6fae53897fbb18be2cda00992097ef26019","target":"graph","created_at":"2026-07-05T05:00:39Z","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/2111.14868/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider fixed-point models for topological phases of matter formulated as discrete path integrals in the language of tensor networks. Such zero-correlation length models with an exact notion of topological invariance are known in the mathematical community as state-sum constructions or lattice topological quantum field theories. All of the established ansatzes for fixed-point models imply the existence of a gapped boundary as well as a commuting-projector Hamiltonian. Thus, they fail to capture topological phases without a gapped boundary or commuting-projector Hamiltonian, most notably ch","authors_text":"Andreas Bauer, Carolin Wille, Jens Eisert","cross_cats":["math.QA","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-11-29T19:00:02Z","title":"Towards topological fixed-point models beyond gappable boundaries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2111.14868","kind":"arxiv","version":4},"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":"sha256:69ca80a3a96026a987543c33d8e9f4c7f4753fc0dd2b4cf33ea262a1b3bb0531","target":"record","created_at":"2026-07-05T05:00:39Z","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":"95202815520f5bea926fa65f2d7b0b8cdcc8d17314ca74fb72702b011100cf39","cross_cats_sorted":["math.QA","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-11-29T19:00:02Z","title_canon_sha256":"5de9440f1ecee715e9d8f78677d6865928c5cce4ec40b0f07957b4966a07597a"},"schema_version":"1.0","source":{"id":"2111.14868","kind":"arxiv","version":4}},"canonical_sha256":"f64262ab7ba5b292a2d9ae1ce0301a039cc09f64d778874b9799fe5a13df4eda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f64262ab7ba5b292a2d9ae1ce0301a039cc09f64d778874b9799fe5a13df4eda","first_computed_at":"2026-07-05T05:00:39.227372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:00:39.227372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hwGWCYErYDEUdEei3YVJDFfib6rC0EvlgJtB778oez6odP547sSc9OdUVFx1byn7O4WMRrkMQsr+wkMCCVnPBA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:00:39.227856Z","signed_message":"canonical_sha256_bytes"},"source_id":"2111.14868","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69ca80a3a96026a987543c33d8e9f4c7f4753fc0dd2b4cf33ea262a1b3bb0531","sha256:fb5775667b076f176e50eacf7ff1e6fae53897fbb18be2cda00992097ef26019"],"state_sha256":"2306a90b86328a9bfec999ac8b1390ff2abe96660fa913fb07b9592bf3e73080"}