{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CWJGMJXTVMDPWPO75WQOPLVDWF","short_pith_number":"pith:CWJGMJXT","canonical_record":{"source":{"id":"2312.02940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-05T18:09:27Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"3adaf6f68f5bf2897f77996894b4e48f74f03200cc604df3f84497a9217fd9ef","abstract_canon_sha256":"2a0ef45380ff2d65d561a41a21e96c70d21105e47b664df8f1b22c2852514e8a"},"schema_version":"1.0"},"canonical_sha256":"15926626f3ab06fb3ddfeda0e7aea3b16664b3f1850b71619f3cffb1a54e8047","source":{"kind":"arxiv","id":"2312.02940","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.02940","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"2312.02940v2","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.02940","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"CWJGMJXTVMDP","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"pith_short_16","alias_value":"CWJGMJXTVMDPWPO7","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"pith_short_8","alias_value":"CWJGMJXT","created_at":"2026-07-05T08:51:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CWJGMJXTVMDPWPO75WQOPLVDWF","target":"record","payload":{"canonical_record":{"source":{"id":"2312.02940","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-05T18:09:27Z","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"title_canon_sha256":"3adaf6f68f5bf2897f77996894b4e48f74f03200cc604df3f84497a9217fd9ef","abstract_canon_sha256":"2a0ef45380ff2d65d561a41a21e96c70d21105e47b664df8f1b22c2852514e8a"},"schema_version":"1.0"},"canonical_sha256":"15926626f3ab06fb3ddfeda0e7aea3b16664b3f1850b71619f3cffb1a54e8047","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:51:12.354053Z","signature_b64":"K4ovk5bI/3QfIMoQo7WZifOIJLWuIbTfpl2B0+aN8/kG5lWFl4P2eDcNTB/7pfnN3gHoOBI892Z4haXbSu3dAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15926626f3ab06fb3ddfeda0e7aea3b16664b3f1850b71619f3cffb1a54e8047","last_reissued_at":"2026-07-05T08:51:12.353597Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:51:12.353597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.02940","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fwA0egiVo4/hf0N76Ge62psk4e4rdq3J3b6lgeC4QfbtNnPzvQCkiVaKQ39OqdY03GlV6dJGMyRoJhXqukVrCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:16:48.452103Z"},"content_sha256":"2fb92df9b521357eb84e424e3a69b43ae4fd85185523e6383673329ee99aabf6","schema_version":"1.0","event_id":"sha256:2fb92df9b521357eb84e424e3a69b43ae4fd85185523e6383673329ee99aabf6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CWJGMJXTVMDPWPO75WQOPLVDWF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum information spreading in generalised dual-unitary circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alessandro Foligno, Bruno Bertini, Pavel Kos","submitted_at":"2023-12-05T18:09:27Z","abstract_excerpt":"We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalises the dual-unitary class. These circuits are unitary in time, while their spatial dynamics is unitary only in a restricted subspace. First, we show that local operators spread at the speed of light as in dual-unitary circuits, i.e., the butterfly velocity takes the maximal value allowed by the geometry of the circuit. Then, we prove that the entanglement spreading can still be characterised exactly for a family of compatible initial states (in fact, for an extension of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.02940","kind":"arxiv","version":2},"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/2312.02940/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":"2026-07-05T08:51:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"epJF6mPJQyYpbRFBL5MGDDkrEAh9GYD+NSLMqgfqhQvzfOpatUfwZS9gajKzXqrw3qv++nNHPasZzM73QcX3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T07:16:48.452600Z"},"content_sha256":"27b7b2987b79e9479829684942510f566699e385b6afed65e04815c5c0257269","schema_version":"1.0","event_id":"sha256:27b7b2987b79e9479829684942510f566699e385b6afed65e04815c5c0257269"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CWJGMJXTVMDPWPO75WQOPLVDWF/bundle.json","state_url":"https://pith.science/pith/CWJGMJXTVMDPWPO75WQOPLVDWF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CWJGMJXTVMDPWPO75WQOPLVDWF/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":"2026-08-04T07:16:48Z","links":{"resolver":"https://pith.science/pith/CWJGMJXTVMDPWPO75WQOPLVDWF","bundle":"https://pith.science/pith/CWJGMJXTVMDPWPO75WQOPLVDWF/bundle.json","state":"https://pith.science/pith/CWJGMJXTVMDPWPO75WQOPLVDWF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CWJGMJXTVMDPWPO75WQOPLVDWF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CWJGMJXTVMDPWPO75WQOPLVDWF","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":"2a0ef45380ff2d65d561a41a21e96c70d21105e47b664df8f1b22c2852514e8a","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-05T18:09:27Z","title_canon_sha256":"3adaf6f68f5bf2897f77996894b4e48f74f03200cc604df3f84497a9217fd9ef"},"schema_version":"1.0","source":{"id":"2312.02940","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.02940","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"arxiv_version","alias_value":"2312.02940v2","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.02940","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"pith_short_12","alias_value":"CWJGMJXTVMDP","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"pith_short_16","alias_value":"CWJGMJXTVMDPWPO7","created_at":"2026-07-05T08:51:12Z"},{"alias_kind":"pith_short_8","alias_value":"CWJGMJXT","created_at":"2026-07-05T08:51:12Z"}],"graph_snapshots":[{"event_id":"sha256:27b7b2987b79e9479829684942510f566699e385b6afed65e04815c5c0257269","target":"graph","created_at":"2026-07-05T08:51:12Z","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/2312.02940/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalises the dual-unitary class. These circuits are unitary in time, while their spatial dynamics is unitary only in a restricted subspace. First, we show that local operators spread at the speed of light as in dual-unitary circuits, i.e., the butterfly velocity takes the maximal value allowed by the geometry of the circuit. Then, we prove that the entanglement spreading can still be characterised exactly for a family of compatible initial states (in fact, for an extension of the","authors_text":"Alessandro Foligno, Bruno Bertini, Pavel Kos","cross_cats":["hep-th","math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-05T18:09:27Z","title":"Quantum information spreading in generalised dual-unitary circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.02940","kind":"arxiv","version":2},"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":"sha256:2fb92df9b521357eb84e424e3a69b43ae4fd85185523e6383673329ee99aabf6","target":"record","created_at":"2026-07-05T08:51:12Z","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":"2a0ef45380ff2d65d561a41a21e96c70d21105e47b664df8f1b22c2852514e8a","cross_cats_sorted":["hep-th","math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2023-12-05T18:09:27Z","title_canon_sha256":"3adaf6f68f5bf2897f77996894b4e48f74f03200cc604df3f84497a9217fd9ef"},"schema_version":"1.0","source":{"id":"2312.02940","kind":"arxiv","version":2}},"canonical_sha256":"15926626f3ab06fb3ddfeda0e7aea3b16664b3f1850b71619f3cffb1a54e8047","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15926626f3ab06fb3ddfeda0e7aea3b16664b3f1850b71619f3cffb1a54e8047","first_computed_at":"2026-07-05T08:51:12.353597Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:51:12.353597Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K4ovk5bI/3QfIMoQo7WZifOIJLWuIbTfpl2B0+aN8/kG5lWFl4P2eDcNTB/7pfnN3gHoOBI892Z4haXbSu3dAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:51:12.354053Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.02940","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fb92df9b521357eb84e424e3a69b43ae4fd85185523e6383673329ee99aabf6","sha256:27b7b2987b79e9479829684942510f566699e385b6afed65e04815c5c0257269"],"state_sha256":"c82b66f7956d8cd74f649b883b8ed424184e3a56350d0719ab8c3d36d1ada0ae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gmO3U2daZuJhCHuw554NL/4YPSfV+lcyewn+ygslKHCxY5RrvmCWkAGbVE9yiwcf3CIWAiHR3t/+Mw/eEcP7CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T07:16:48.455923Z","bundle_sha256":"5827370e3ac78ab6efbb2fc2d70a9818f11a095dd49bca1036ebf9fec5b1439f"}}