{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LTNN2KM6B5DX4YNQUKVCA5AF2F","short_pith_number":"pith:LTNN2KM6","canonical_record":{"source":{"id":"2404.01935","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T13:30:17Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cf8009a9847d3684797883d8329b5c23d54ff0209ae3189754c870f9332eff48","abstract_canon_sha256":"56478137104a1b5bfddeffd7381e1349d1c0f0ec4300a01d359c7545638fb837"},"schema_version":"1.0"},"canonical_sha256":"5cdadd299e0f477e61b0a2aa207405d1660743a2282cbb431b96eecbab5294f0","source":{"kind":"arxiv","id":"2404.01935","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.01935","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"arxiv_version","alias_value":"2404.01935v4","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.01935","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"pith_short_12","alias_value":"LTNN2KM6B5DX","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"pith_short_16","alias_value":"LTNN2KM6B5DX4YNQ","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"pith_short_8","alias_value":"LTNN2KM6","created_at":"2026-07-05T10:06:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LTNN2KM6B5DX4YNQUKVCA5AF2F","target":"record","payload":{"canonical_record":{"source":{"id":"2404.01935","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T13:30:17Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"cf8009a9847d3684797883d8329b5c23d54ff0209ae3189754c870f9332eff48","abstract_canon_sha256":"56478137104a1b5bfddeffd7381e1349d1c0f0ec4300a01d359c7545638fb837"},"schema_version":"1.0"},"canonical_sha256":"5cdadd299e0f477e61b0a2aa207405d1660743a2282cbb431b96eecbab5294f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:06:28.116079Z","signature_b64":"PRtYSuSoRJWwID/+Sh5OAFc6+ZwXqDrvltX6yo2iOqikdxAGHSiKv4KTluFEACEopnubfFnrYnO59hiT9AwPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5cdadd299e0f477e61b0a2aa207405d1660743a2282cbb431b96eecbab5294f0","last_reissued_at":"2026-07-05T10:06:28.115632Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:06:28.115632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.01935","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:06:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9np7ccsLyQ/0jCbOkJLSXHePhp3Slk+Rv7SZvBx0n6kQaSeicMf0JTBv1kd1lSyQwWukamdbKMQOXqQmsXw9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T07:05:29.359362Z"},"content_sha256":"259b0edd71099dbef613e0f84013a4bc05bedae91199af1186f6ac143d3a9b32","schema_version":"1.0","event_id":"sha256:259b0edd71099dbef613e0f84013a4bc05bedae91199af1186f6ac143d3a9b32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LTNN2KM6B5DX4YNQUKVCA5AF2F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical spin chains and loop models with $PSU(n)$ symmetry","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Hubert Saleur, Jesper Lykke Jacobsen, Paul Roux, Sylvain Ribault","submitted_at":"2024-04-02T13:30:17Z","abstract_excerpt":"Starting with the Ising model, statistical models with global symmetries provide fruitful approaches to interesting physical systems, for example percolation or polymers. These include the $O(n)$ model (symmetry group $O(n)$) and the Potts model (symmetry group $S_Q$). Both models make sense for $n,Q\\in \\mathbb{C}$ and not just $n,Q\\in \\mathbb{N}$, and both give rise to a conformal field theory in the critical limit.\n  Here, we study similar models based on the group $PSU(n)$. We focus on the two-dimensional case, where the models can be described either as gases of non-intersecting orientable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.01935","kind":"arxiv","version":4},"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/2404.01935/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:06:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dau65+sKIneNxGv74dZRLLkFETkvt6ylyKkMZVxnb0Bo39LjKWJtyqVPkFWI5LO8gy1zLN8QBYHWYByiXZ7MAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T07:05:29.360507Z"},"content_sha256":"577ddda15cabb69ec483250446c440532d44f3bd35fe69edb79495d7839ad712","schema_version":"1.0","event_id":"sha256:577ddda15cabb69ec483250446c440532d44f3bd35fe69edb79495d7839ad712"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LTNN2KM6B5DX4YNQUKVCA5AF2F/bundle.json","state_url":"https://pith.science/pith/LTNN2KM6B5DX4YNQUKVCA5AF2F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LTNN2KM6B5DX4YNQUKVCA5AF2F/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-13T07:05:29Z","links":{"resolver":"https://pith.science/pith/LTNN2KM6B5DX4YNQUKVCA5AF2F","bundle":"https://pith.science/pith/LTNN2KM6B5DX4YNQUKVCA5AF2F/bundle.json","state":"https://pith.science/pith/LTNN2KM6B5DX4YNQUKVCA5AF2F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LTNN2KM6B5DX4YNQUKVCA5AF2F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LTNN2KM6B5DX4YNQUKVCA5AF2F","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":"56478137104a1b5bfddeffd7381e1349d1c0f0ec4300a01d359c7545638fb837","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T13:30:17Z","title_canon_sha256":"cf8009a9847d3684797883d8329b5c23d54ff0209ae3189754c870f9332eff48"},"schema_version":"1.0","source":{"id":"2404.01935","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.01935","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"arxiv_version","alias_value":"2404.01935v4","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.01935","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"pith_short_12","alias_value":"LTNN2KM6B5DX","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"pith_short_16","alias_value":"LTNN2KM6B5DX4YNQ","created_at":"2026-07-05T10:06:28Z"},{"alias_kind":"pith_short_8","alias_value":"LTNN2KM6","created_at":"2026-07-05T10:06:28Z"}],"graph_snapshots":[{"event_id":"sha256:577ddda15cabb69ec483250446c440532d44f3bd35fe69edb79495d7839ad712","target":"graph","created_at":"2026-07-05T10:06:28Z","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/2404.01935/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Starting with the Ising model, statistical models with global symmetries provide fruitful approaches to interesting physical systems, for example percolation or polymers. These include the $O(n)$ model (symmetry group $O(n)$) and the Potts model (symmetry group $S_Q$). Both models make sense for $n,Q\\in \\mathbb{C}$ and not just $n,Q\\in \\mathbb{N}$, and both give rise to a conformal field theory in the critical limit.\n  Here, we study similar models based on the group $PSU(n)$. We focus on the two-dimensional case, where the models can be described either as gases of non-intersecting orientable","authors_text":"Hubert Saleur, Jesper Lykke Jacobsen, Paul Roux, Sylvain Ribault","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T13:30:17Z","title":"Critical spin chains and loop models with $PSU(n)$ symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.01935","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":"sha256:259b0edd71099dbef613e0f84013a4bc05bedae91199af1186f6ac143d3a9b32","target":"record","created_at":"2026-07-05T10:06:28Z","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":"56478137104a1b5bfddeffd7381e1349d1c0f0ec4300a01d359c7545638fb837","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"hep-th","submitted_at":"2024-04-02T13:30:17Z","title_canon_sha256":"cf8009a9847d3684797883d8329b5c23d54ff0209ae3189754c870f9332eff48"},"schema_version":"1.0","source":{"id":"2404.01935","kind":"arxiv","version":4}},"canonical_sha256":"5cdadd299e0f477e61b0a2aa207405d1660743a2282cbb431b96eecbab5294f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cdadd299e0f477e61b0a2aa207405d1660743a2282cbb431b96eecbab5294f0","first_computed_at":"2026-07-05T10:06:28.115632Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:06:28.115632Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PRtYSuSoRJWwID/+Sh5OAFc6+ZwXqDrvltX6yo2iOqikdxAGHSiKv4KTluFEACEopnubfFnrYnO59hiT9AwPDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:06:28.116079Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.01935","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:259b0edd71099dbef613e0f84013a4bc05bedae91199af1186f6ac143d3a9b32","sha256:577ddda15cabb69ec483250446c440532d44f3bd35fe69edb79495d7839ad712"],"state_sha256":"ebeeea3f7d7173cebf7bd8fbdf7a178b81a32d6ac1cd9458412b6c47604dcbd2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yql82ugHn4VatuhDoJi7YuMxngkFoW9t+G7ykJmZRXBUwJsF3snBMjdJXtbnZcImqTJIkUfV81amj4sUVfhsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T07:05:29.364241Z","bundle_sha256":"6119cc7c69b51a38e1e62e1461e5d002695468a8b5967635725111f0c042e6b7"}}