{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:MVT7D6XPWQA2PLVSLIVLR4V3WB","short_pith_number":"pith:MVT7D6XP","canonical_record":{"source":{"id":"2006.12222","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2020-06-22T13:20:40Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"title_canon_sha256":"a3138a8ae93527ac74875870d4ad300ad1aa50a1c91d4b768f8f7cf9bae40e9a","abstract_canon_sha256":"263dca2f0039b9167c9fd84e52f9423db3c7503fd94aef01db34f13d652f3531"},"schema_version":"1.0"},"canonical_sha256":"6567f1faefb401a7aeb25a2ab8f2bbb06bfda6646eee9b3981220806ae4d1457","source":{"kind":"arxiv","id":"2006.12222","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.12222","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"2006.12222v2","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.12222","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"MVT7D6XPWQA2","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"pith_short_16","alias_value":"MVT7D6XPWQA2PLVS","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"pith_short_8","alias_value":"MVT7D6XP","created_at":"2026-07-05T02:48:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:MVT7D6XPWQA2PLVSLIVLR4V3WB","target":"record","payload":{"canonical_record":{"source":{"id":"2006.12222","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2020-06-22T13:20:40Z","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"title_canon_sha256":"a3138a8ae93527ac74875870d4ad300ad1aa50a1c91d4b768f8f7cf9bae40e9a","abstract_canon_sha256":"263dca2f0039b9167c9fd84e52f9423db3c7503fd94aef01db34f13d652f3531"},"schema_version":"1.0"},"canonical_sha256":"6567f1faefb401a7aeb25a2ab8f2bbb06bfda6646eee9b3981220806ae4d1457","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:48:09.073848Z","signature_b64":"d4HbNfce+ZJBI/XtHihWqJkToD6m2AWyRV1dxvGXriya3+0UcxsRjwsMsFf/v/l9hkxAVDmJPob34JsbvJ3vBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6567f1faefb401a7aeb25a2ab8f2bbb06bfda6646eee9b3981220806ae4d1457","last_reissued_at":"2026-07-05T02:48:09.073331Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:48:09.073331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.12222","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":"2026-07-05T02:48:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TlNIS13EUOJaQo8uvhPGMMsNpzBImNp8PpLDoFXzgeIfu900M1EPJlzVob6NIpLv9kUR+gxYCCW6M9cnNMkHCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T07:54:42.275470Z"},"content_sha256":"9376c34a1a7e5934584d627fd2e39da517788610b34798f8c5ed81348d9cb03e","schema_version":"1.0","event_id":"sha256:9376c34a1a7e5934584d627fd2e39da517788610b34798f8c5ed81348d9cb03e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:MVT7D6XPWQA2PLVSLIVLR4V3WB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solution to the Quantum Symmetric Simple Exclusion Process : the Continuous Case","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Denis Bernard, Tony Jin","submitted_at":"2020-06-22T13:20:40Z","abstract_excerpt":"The Quantum Symmetric Simple Exclusion Process (Q-SSEP) is a model for quantum stochastic dynamics of fermions hopping along the edges of a graph with Brownian noisy amplitudes and driven out-of-equilibrium by injection-extraction processes at a few vertices. We present a solution for the invariant probability measure of the one dimensional Q-SSEP in the infinite size limit by constructing the steady correlation functions of the system density matrix and quantum expectation values. These correlation functions code for a rich structure of fluctuating quantum correlations and coherences. Althoug"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.12222","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/2006.12222/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":"2026-07-05T02:48:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RqBWTCqukse29U4c9W3sjDmjJ2DM6nxQysAEWxbRpSVoL+/0NYKSeCsvJHj++ZQYGtn9NZL+2fTdO86RRwmiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T07:54:42.276304Z"},"content_sha256":"01505cbb57c5fc5675199fa3e5ac0de8d909737ad70aba28e9fcdf8c38800f93","schema_version":"1.0","event_id":"sha256:01505cbb57c5fc5675199fa3e5ac0de8d909737ad70aba28e9fcdf8c38800f93"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MVT7D6XPWQA2PLVSLIVLR4V3WB/bundle.json","state_url":"https://pith.science/pith/MVT7D6XPWQA2PLVSLIVLR4V3WB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MVT7D6XPWQA2PLVSLIVLR4V3WB/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":"2026-08-19T07:54:42Z","links":{"resolver":"https://pith.science/pith/MVT7D6XPWQA2PLVSLIVLR4V3WB","bundle":"https://pith.science/pith/MVT7D6XPWQA2PLVSLIVLR4V3WB/bundle.json","state":"https://pith.science/pith/MVT7D6XPWQA2PLVSLIVLR4V3WB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MVT7D6XPWQA2PLVSLIVLR4V3WB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:MVT7D6XPWQA2PLVSLIVLR4V3WB","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":"263dca2f0039b9167c9fd84e52f9423db3c7503fd94aef01db34f13d652f3531","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2020-06-22T13:20:40Z","title_canon_sha256":"a3138a8ae93527ac74875870d4ad300ad1aa50a1c91d4b768f8f7cf9bae40e9a"},"schema_version":"1.0","source":{"id":"2006.12222","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.12222","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"arxiv_version","alias_value":"2006.12222v2","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.12222","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"pith_short_12","alias_value":"MVT7D6XPWQA2","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"pith_short_16","alias_value":"MVT7D6XPWQA2PLVS","created_at":"2026-07-05T02:48:09Z"},{"alias_kind":"pith_short_8","alias_value":"MVT7D6XP","created_at":"2026-07-05T02:48:09Z"}],"graph_snapshots":[{"event_id":"sha256:01505cbb57c5fc5675199fa3e5ac0de8d909737ad70aba28e9fcdf8c38800f93","target":"graph","created_at":"2026-07-05T02:48:09Z","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/2006.12222/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Quantum Symmetric Simple Exclusion Process (Q-SSEP) is a model for quantum stochastic dynamics of fermions hopping along the edges of a graph with Brownian noisy amplitudes and driven out-of-equilibrium by injection-extraction processes at a few vertices. We present a solution for the invariant probability measure of the one dimensional Q-SSEP in the infinite size limit by constructing the steady correlation functions of the system density matrix and quantum expectation values. These correlation functions code for a rich structure of fluctuating quantum correlations and coherences. Althoug","authors_text":"Denis Bernard, Tony Jin","cross_cats":["cond-mat.stat-mech","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2020-06-22T13:20:40Z","title":"Solution to the Quantum Symmetric Simple Exclusion Process : the Continuous Case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.12222","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":"sha256:9376c34a1a7e5934584d627fd2e39da517788610b34798f8c5ed81348d9cb03e","target":"record","created_at":"2026-07-05T02:48:09Z","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":"263dca2f0039b9167c9fd84e52f9423db3c7503fd94aef01db34f13d652f3531","cross_cats_sorted":["cond-mat.stat-mech","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2020-06-22T13:20:40Z","title_canon_sha256":"a3138a8ae93527ac74875870d4ad300ad1aa50a1c91d4b768f8f7cf9bae40e9a"},"schema_version":"1.0","source":{"id":"2006.12222","kind":"arxiv","version":2}},"canonical_sha256":"6567f1faefb401a7aeb25a2ab8f2bbb06bfda6646eee9b3981220806ae4d1457","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6567f1faefb401a7aeb25a2ab8f2bbb06bfda6646eee9b3981220806ae4d1457","first_computed_at":"2026-07-05T02:48:09.073331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:48:09.073331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d4HbNfce+ZJBI/XtHihWqJkToD6m2AWyRV1dxvGXriya3+0UcxsRjwsMsFf/v/l9hkxAVDmJPob34JsbvJ3vBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:48:09.073848Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.12222","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9376c34a1a7e5934584d627fd2e39da517788610b34798f8c5ed81348d9cb03e","sha256:01505cbb57c5fc5675199fa3e5ac0de8d909737ad70aba28e9fcdf8c38800f93"],"state_sha256":"e658d8809de6b2f38c293108cbc476805a2e2b9d237c79e17a3bdcd7fa6d66f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qC0StKnPe3oC/kOuPeVJmaC+0QbLT2b2yW64fSmMjENZS8m/Nnn9POV5JD0+tJ3aBpeaHzDgwKrtUfpYLv5bBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T07:54:42.284489Z","bundle_sha256":"22f4bdc129146bcc1ee3c58da2a7d39d8aed48e568c45a8762ed63844e1f3eee"}}