{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:WEKO3BQWCMI4BGWVNUWGDVEC4X","short_pith_number":"pith:WEKO3BQW","canonical_record":{"source":{"id":"2102.09846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-02-19T10:31:27Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"title_canon_sha256":"ca997cfc74f8cc47fd1bf19c827c603db9875256f1e5850992693fb7f0716345","abstract_canon_sha256":"8f74ed9d28062e4afe4a3fd97d5de0dc73bb87c1b364dcabb7cc4661d37237f6"},"schema_version":"1.0"},"canonical_sha256":"b114ed86161311c09ad56d2c61d482e5f4ae3e0e4e1535bc3ddafc9c7d1dbcac","source":{"kind":"arxiv","id":"2102.09846","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.09846","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"2102.09846v1","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.09846","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"WEKO3BQWCMI4","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"pith_short_16","alias_value":"WEKO3BQWCMI4BGWV","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"pith_short_8","alias_value":"WEKO3BQW","created_at":"2026-07-05T02:16:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:WEKO3BQWCMI4BGWVNUWGDVEC4X","target":"record","payload":{"canonical_record":{"source":{"id":"2102.09846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-02-19T10:31:27Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"title_canon_sha256":"ca997cfc74f8cc47fd1bf19c827c603db9875256f1e5850992693fb7f0716345","abstract_canon_sha256":"8f74ed9d28062e4afe4a3fd97d5de0dc73bb87c1b364dcabb7cc4661d37237f6"},"schema_version":"1.0"},"canonical_sha256":"b114ed86161311c09ad56d2c61d482e5f4ae3e0e4e1535bc3ddafc9c7d1dbcac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:16:31.583520Z","signature_b64":"j9Zy7JJ9NmhNwebKBOlTAhMLWhhb0eFARFFwTlyRegI5J9HCyYQLifjR8nTAAGqDDSe98EANePdtbKcQFOZnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b114ed86161311c09ad56d2c61d482e5f4ae3e0e4e1535bc3ddafc9c7d1dbcac","last_reissued_at":"2026-07-05T02:16:31.583082Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:16:31.583082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.09846","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/tAUwobW2if6+8cCycI2RDFZ/WUlPLIq5MZrJKW6JlFBYjVC2FFzTYbwplESF7VS0aPJFsvrIR5fGICtJkbkBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T16:55:01.365861Z"},"content_sha256":"06e5e5fc1bcd18d7f6a6209cbcaee1eaa9a033a1135c02e39e78a572ffe654f9","schema_version":"1.0","event_id":"sha256:06e5e5fc1bcd18d7f6a6209cbcaee1eaa9a033a1135c02e39e78a572ffe654f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:WEKO3BQWCMI4BGWVNUWGDVEC4X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diffusive Operator Spreading for Random Unitary Free Fermion Circuits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","quant-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Beatriz C. Dias, Masudul Haque, Paul McClarty, Pedro Ribeiro","submitted_at":"2021-02-19T10:31:27Z","abstract_excerpt":"We study a model of free fermions on a chain with dynamics generated by random unitary gates acting on nearest neighbor bonds and present an exact calculation of time-ordered and out-of-time-ordered correlators. We consider three distinct cases: the random circuit with spatio-temporal disorder (i) with and (ii) without particle number conservation and (iii) the particle non-conserving case with purely temporal disorder. In all three cases, temporal disorder causes diffusive operator spreading and $\\sim\\sqrt{t}$ entanglement growth. This is in sharp contrast to Anderson localization for the cas"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.09846","kind":"arxiv","version":1},"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/2102.09846/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":"2026-07-05T02:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hXF0502xS6cNrNHHSRRjUd+jNgYblGc8Up3EKdvcqi3ACaWs5Ynh9pCQ2bIkYmqs9Fjnt1Whpj9DtErOqmJMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T16:55:01.367782Z"},"content_sha256":"9c9e76327ce8d2debca92b1816689d32b6df011ad596d43492fc12a47dca93e1","schema_version":"1.0","event_id":"sha256:9c9e76327ce8d2debca92b1816689d32b6df011ad596d43492fc12a47dca93e1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WEKO3BQWCMI4BGWVNUWGDVEC4X/bundle.json","state_url":"https://pith.science/pith/WEKO3BQWCMI4BGWVNUWGDVEC4X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WEKO3BQWCMI4BGWVNUWGDVEC4X/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":"2026-08-17T16:55:01Z","links":{"resolver":"https://pith.science/pith/WEKO3BQWCMI4BGWVNUWGDVEC4X","bundle":"https://pith.science/pith/WEKO3BQWCMI4BGWVNUWGDVEC4X/bundle.json","state":"https://pith.science/pith/WEKO3BQWCMI4BGWVNUWGDVEC4X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WEKO3BQWCMI4BGWVNUWGDVEC4X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:WEKO3BQWCMI4BGWVNUWGDVEC4X","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":"8f74ed9d28062e4afe4a3fd97d5de0dc73bb87c1b364dcabb7cc4661d37237f6","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-02-19T10:31:27Z","title_canon_sha256":"ca997cfc74f8cc47fd1bf19c827c603db9875256f1e5850992693fb7f0716345"},"schema_version":"1.0","source":{"id":"2102.09846","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.09846","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"2102.09846v1","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.09846","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"WEKO3BQWCMI4","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"pith_short_16","alias_value":"WEKO3BQWCMI4BGWV","created_at":"2026-07-05T02:16:31Z"},{"alias_kind":"pith_short_8","alias_value":"WEKO3BQW","created_at":"2026-07-05T02:16:31Z"}],"graph_snapshots":[{"event_id":"sha256:9c9e76327ce8d2debca92b1816689d32b6df011ad596d43492fc12a47dca93e1","target":"graph","created_at":"2026-07-05T02:16:31Z","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/2102.09846/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a model of free fermions on a chain with dynamics generated by random unitary gates acting on nearest neighbor bonds and present an exact calculation of time-ordered and out-of-time-ordered correlators. We consider three distinct cases: the random circuit with spatio-temporal disorder (i) with and (ii) without particle number conservation and (iii) the particle non-conserving case with purely temporal disorder. In all three cases, temporal disorder causes diffusive operator spreading and $\\sim\\sqrt{t}$ entanglement growth. This is in sharp contrast to Anderson localization for the cas","authors_text":"Beatriz C. Dias, Masudul Haque, Paul McClarty, Pedro Ribeiro","cross_cats":["cond-mat.stat-mech","hep-th","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-02-19T10:31:27Z","title":"Diffusive Operator Spreading for Random Unitary Free Fermion Circuits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.09846","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":"sha256:06e5e5fc1bcd18d7f6a6209cbcaee1eaa9a033a1135c02e39e78a572ffe654f9","target":"record","created_at":"2026-07-05T02:16:31Z","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":"8f74ed9d28062e4afe4a3fd97d5de0dc73bb87c1b364dcabb7cc4661d37237f6","cross_cats_sorted":["cond-mat.stat-mech","hep-th","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2021-02-19T10:31:27Z","title_canon_sha256":"ca997cfc74f8cc47fd1bf19c827c603db9875256f1e5850992693fb7f0716345"},"schema_version":"1.0","source":{"id":"2102.09846","kind":"arxiv","version":1}},"canonical_sha256":"b114ed86161311c09ad56d2c61d482e5f4ae3e0e4e1535bc3ddafc9c7d1dbcac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b114ed86161311c09ad56d2c61d482e5f4ae3e0e4e1535bc3ddafc9c7d1dbcac","first_computed_at":"2026-07-05T02:16:31.583082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:16:31.583082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9Zy7JJ9NmhNwebKBOlTAhMLWhhb0eFARFFwTlyRegI5J9HCyYQLifjR8nTAAGqDDSe98EANePdtbKcQFOZnAA==","signature_status":"signed_v1","signed_at":"2026-07-05T02:16:31.583520Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.09846","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06e5e5fc1bcd18d7f6a6209cbcaee1eaa9a033a1135c02e39e78a572ffe654f9","sha256:9c9e76327ce8d2debca92b1816689d32b6df011ad596d43492fc12a47dca93e1"],"state_sha256":"2444976f833b79d63107f20c1aa6d9ec8bcfd0fe7f81776274192a923b9356bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HGC9/0Lj/HMdvDHJtmgyASELIYDDn0K2CyyA1nWwAsVlZ9nPlz+BTgHs3JX9W94jOrZWqISSzn4cQnxkvHHeAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T16:55:01.469331Z","bundle_sha256":"2df3d66f0b13871082b54e070f3a184a743dd257fae4552b8a16d36bb2469683"}}