{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:2BQ53ZHMWE74HKOT7UAQYQRI2E","short_pith_number":"pith:2BQ53ZHM","canonical_record":{"source":{"id":"2412.09598","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:58:47Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6f13106ac68f9f4b2bb447aca7857bf02682e4a611b5ee084dac01719436d37a","abstract_canon_sha256":"a2c78a6b8aadece4ce497f01ba8f1fd468cc29be5c2029a4a8924aa72c8b33eb"},"schema_version":"1.0"},"canonical_sha256":"d061dde4ecb13fc3a9d3fd010c4228d106c4f2dcfab03c2e57a433174deb0688","source":{"kind":"arxiv","id":"2412.09598","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09598","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09598v1","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09598","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_12","alias_value":"2BQ53ZHMWE74","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_16","alias_value":"2BQ53ZHMWE74HKOT","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_8","alias_value":"2BQ53ZHM","created_at":"2026-07-05T09:48:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:2BQ53ZHMWE74HKOT7UAQYQRI2E","target":"record","payload":{"canonical_record":{"source":{"id":"2412.09598","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:58:47Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6f13106ac68f9f4b2bb447aca7857bf02682e4a611b5ee084dac01719436d37a","abstract_canon_sha256":"a2c78a6b8aadece4ce497f01ba8f1fd468cc29be5c2029a4a8924aa72c8b33eb"},"schema_version":"1.0"},"canonical_sha256":"d061dde4ecb13fc3a9d3fd010c4228d106c4f2dcfab03c2e57a433174deb0688","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:48:26.950906Z","signature_b64":"+Euwq4W2SxL0mP6HxU9c7/J6BsApqG1fqOZW8COQ0vHZD+8GDJy4kasIQxB3yexDbDvWg84yXS973G9F4hXlCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d061dde4ecb13fc3a9d3fd010c4228d106c4f2dcfab03c2e57a433174deb0688","last_reissued_at":"2026-07-05T09:48:26.950296Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:48:26.950296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.09598","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":"2026-07-05T09:48:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ATpo6nVzXLxZ/i9rob8K6AkidEO1cFcEtzD90ut2PGG7GBMUloI8OOoQrjNBr+/0A9Wcjh2/Xghy3IxCwlMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:07:25.675803Z"},"content_sha256":"de59cbe2a249183dcd7bb818dd2b88dbc41c5a4968bf9c8032efa74268fd97c7","schema_version":"1.0","event_id":"sha256:de59cbe2a249183dcd7bb818dd2b88dbc41c5a4968bf9c8032efa74268fd97c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:2BQ53ZHMWE74HKOT7UAQYQRI2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bottlenecks in quantum channels and finite temperature phases of matter","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"quant-ph","authors_text":"Benedikt Placke, Nikolas P. Breuckmann, Tibor Rakovszky, Vedika Khemani","submitted_at":"2024-12-12T18:58:47Z","abstract_excerpt":"We prove an analogue of the \"bottleneck theorem\", well-known for classical Markov chains, for Markovian quantum channels. In particular, we show that if two regions (subspaces) of Hilbert space are separated by a region that has very low weight in the channel's steady state, then states initialized on one side of this barrier will take a long time to relax, putting a lower bound on the mixing time in terms of an appropriately defined \"quantum bottleneck ratio\". Importantly, this bottleneck ratio involves not only the probabilities of the relevant subspaces, but also the size of off-diagonal ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09598","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/2412.09598/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":"2026-07-05T09:48:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iWvKw6rDzrapM9C7eLfMA9k77ErkXa0tEkHC98dvLpRSqgexxjEovmwIp6PjQqyr46UmxxRRVEp40FtsuXdsBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T14:07:25.676358Z"},"content_sha256":"8800e4d1e9dfc5c42573407171f3d015fa83f1e06f51fd36f02b6fe97159681e","schema_version":"1.0","event_id":"sha256:8800e4d1e9dfc5c42573407171f3d015fa83f1e06f51fd36f02b6fe97159681e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BQ53ZHMWE74HKOT7UAQYQRI2E/bundle.json","state_url":"https://pith.science/pith/2BQ53ZHMWE74HKOT7UAQYQRI2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BQ53ZHMWE74HKOT7UAQYQRI2E/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":"2026-08-10T14:07:25Z","links":{"resolver":"https://pith.science/pith/2BQ53ZHMWE74HKOT7UAQYQRI2E","bundle":"https://pith.science/pith/2BQ53ZHMWE74HKOT7UAQYQRI2E/bundle.json","state":"https://pith.science/pith/2BQ53ZHMWE74HKOT7UAQYQRI2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BQ53ZHMWE74HKOT7UAQYQRI2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2BQ53ZHMWE74HKOT7UAQYQRI2E","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":"a2c78a6b8aadece4ce497f01ba8f1fd468cc29be5c2029a4a8924aa72c8b33eb","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:58:47Z","title_canon_sha256":"6f13106ac68f9f4b2bb447aca7857bf02682e4a611b5ee084dac01719436d37a"},"schema_version":"1.0","source":{"id":"2412.09598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.09598","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"arxiv_version","alias_value":"2412.09598v1","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.09598","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_12","alias_value":"2BQ53ZHMWE74","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_16","alias_value":"2BQ53ZHMWE74HKOT","created_at":"2026-07-05T09:48:26Z"},{"alias_kind":"pith_short_8","alias_value":"2BQ53ZHM","created_at":"2026-07-05T09:48:26Z"}],"graph_snapshots":[{"event_id":"sha256:8800e4d1e9dfc5c42573407171f3d015fa83f1e06f51fd36f02b6fe97159681e","target":"graph","created_at":"2026-07-05T09:48:26Z","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/2412.09598/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove an analogue of the \"bottleneck theorem\", well-known for classical Markov chains, for Markovian quantum channels. In particular, we show that if two regions (subspaces) of Hilbert space are separated by a region that has very low weight in the channel's steady state, then states initialized on one side of this barrier will take a long time to relax, putting a lower bound on the mixing time in terms of an appropriately defined \"quantum bottleneck ratio\". Importantly, this bottleneck ratio involves not only the probabilities of the relevant subspaces, but also the size of off-diagonal ma","authors_text":"Benedikt Placke, Nikolas P. Breuckmann, Tibor Rakovszky, Vedika Khemani","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:58:47Z","title":"Bottlenecks in quantum channels and finite temperature phases of matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.09598","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:de59cbe2a249183dcd7bb818dd2b88dbc41c5a4968bf9c8032efa74268fd97c7","target":"record","created_at":"2026-07-05T09:48:26Z","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":"a2c78a6b8aadece4ce497f01ba8f1fd468cc29be5c2029a4a8924aa72c8b33eb","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2024-12-12T18:58:47Z","title_canon_sha256":"6f13106ac68f9f4b2bb447aca7857bf02682e4a611b5ee084dac01719436d37a"},"schema_version":"1.0","source":{"id":"2412.09598","kind":"arxiv","version":1}},"canonical_sha256":"d061dde4ecb13fc3a9d3fd010c4228d106c4f2dcfab03c2e57a433174deb0688","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d061dde4ecb13fc3a9d3fd010c4228d106c4f2dcfab03c2e57a433174deb0688","first_computed_at":"2026-07-05T09:48:26.950296Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:48:26.950296Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+Euwq4W2SxL0mP6HxU9c7/J6BsApqG1fqOZW8COQ0vHZD+8GDJy4kasIQxB3yexDbDvWg84yXS973G9F4hXlCw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:48:26.950906Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.09598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de59cbe2a249183dcd7bb818dd2b88dbc41c5a4968bf9c8032efa74268fd97c7","sha256:8800e4d1e9dfc5c42573407171f3d015fa83f1e06f51fd36f02b6fe97159681e"],"state_sha256":"9e991369ef715423e4930b2e2220d73dfa08d82116a346cb7b64138da6cd80ad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1588vpMGjhNOjlcxea6r9zyA9iCMnNoK4mN8//It5XOi509jDqr270CEo2CXr3sithJwNnQkL9IiDnjhuLTMBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T14:07:25.682111Z","bundle_sha256":"245c919f81bb5d636caa9bbac6fa679bae8ae913b9e40bb28b866dde21692aa5"}}