{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:X6BHNNWHHJ4O62TPSTCENGV3WZ","short_pith_number":"pith:X6BHNNWH","canonical_record":{"source":{"id":"2607.09651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T17:49:49Z","cross_cats_sorted":[],"title_canon_sha256":"bb6c346f22d1c943f5e344a3deb610fd89345f624a425cdef4b249a369c8f397","abstract_canon_sha256":"3287a0e816ce50fe72ee7368f0d2fe76e0c820008bcb508d2f3efe0caf0023cf"},"schema_version":"1.0"},"canonical_sha256":"bf8276b6c73a78ef6a6f94c4469abbb648a5bac0882996d269f6dea1a5a4fcbe","source":{"kind":"arxiv","id":"2607.09651","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09651","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09651v1","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09651","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"pith_short_12","alias_value":"X6BHNNWHHJ4O","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"pith_short_16","alias_value":"X6BHNNWHHJ4O62TP","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"pith_short_8","alias_value":"X6BHNNWH","created_at":"2026-07-13T01:20:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:X6BHNNWHHJ4O62TPSTCENGV3WZ","target":"record","payload":{"canonical_record":{"source":{"id":"2607.09651","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T17:49:49Z","cross_cats_sorted":[],"title_canon_sha256":"bb6c346f22d1c943f5e344a3deb610fd89345f624a425cdef4b249a369c8f397","abstract_canon_sha256":"3287a0e816ce50fe72ee7368f0d2fe76e0c820008bcb508d2f3efe0caf0023cf"},"schema_version":"1.0"},"canonical_sha256":"bf8276b6c73a78ef6a6f94c4469abbb648a5bac0882996d269f6dea1a5a4fcbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-13T01:20:26.857696Z","signature_b64":"IG9eFUfrSgOI2CX4QA9yHzMzlUigh7AeETIHx+bSyR6VXOzrXmTA8tvGSAV39IxdP8bVcGwwKUg+dqTTDGaDAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf8276b6c73a78ef6a6f94c4469abbb648a5bac0882996d269f6dea1a5a4fcbe","last_reissued_at":"2026-07-13T01:20:26.856246Z","signature_status":"signed_v1","first_computed_at":"2026-07-13T01:20:26.856246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.09651","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":"2026-07-13T01:20:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yAGRK8oxSyUMsWFX1kd9l9t9qIDlGo6pQyKPgiIbPCzz+4gFH2797lIMH/C7VANIUkRe3tKrv3tnSq4ToalYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:12:12.598145Z"},"content_sha256":"20dbac77ccaec7645676b9a48a5c8071aadfcff910d41efac7b996849601e52c","schema_version":"1.0","event_id":"sha256:20dbac77ccaec7645676b9a48a5c8071aadfcff910d41efac7b996849601e52c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:X6BHNNWHHJ4O62TPSTCENGV3WZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local Determinacy of Quantum Master Equations and a Mechanical Interpretation of the Multi-Mode Jaynes-Cummings and Central Spin Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Jaeha Lee, Miku Ishizaki","submitted_at":"2026-07-10T17:49:49Z","abstract_excerpt":"We propose a novel formulation of master equations for open systems wherein the evolution of a state is determined solely by its local behaviour at any point of time. Specifically, our formulation allows for a local interpretation of the workings of beyond-Markovian dynamics as opposed to the more common conception that non-Markovian state evolution is affected by its cumulative past history. Quite interestingly, local determinacy is found prevalent in quantum dynamics. We illustrate the advantages of our coordinate-free formulation with exact analyses on two physically relevant models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09651","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/2607.09651/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":"2026-07-13T01:20:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V5m5fB22pzb20jljrRj++9gBdC91AVV7cy5dy7v4CF4ceJWqO79JrRQrxZHkLCke5mtSsgXb/oJowJzN9nVuDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T12:12:12.599046Z"},"content_sha256":"0ba270347674e5e6e430ca469f7fdd87fe858e626159eeddffdf4dda14260ef9","schema_version":"1.0","event_id":"sha256:0ba270347674e5e6e430ca469f7fdd87fe858e626159eeddffdf4dda14260ef9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6BHNNWHHJ4O62TPSTCENGV3WZ/bundle.json","state_url":"https://pith.science/pith/X6BHNNWHHJ4O62TPSTCENGV3WZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6BHNNWHHJ4O62TPSTCENGV3WZ/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":"2026-08-07T12:12:12Z","links":{"resolver":"https://pith.science/pith/X6BHNNWHHJ4O62TPSTCENGV3WZ","bundle":"https://pith.science/pith/X6BHNNWHHJ4O62TPSTCENGV3WZ/bundle.json","state":"https://pith.science/pith/X6BHNNWHHJ4O62TPSTCENGV3WZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6BHNNWHHJ4O62TPSTCENGV3WZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:X6BHNNWHHJ4O62TPSTCENGV3WZ","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":"3287a0e816ce50fe72ee7368f0d2fe76e0c820008bcb508d2f3efe0caf0023cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T17:49:49Z","title_canon_sha256":"bb6c346f22d1c943f5e344a3deb610fd89345f624a425cdef4b249a369c8f397"},"schema_version":"1.0","source":{"id":"2607.09651","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09651","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09651v1","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09651","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"pith_short_12","alias_value":"X6BHNNWHHJ4O","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"pith_short_16","alias_value":"X6BHNNWHHJ4O62TP","created_at":"2026-07-13T01:20:26Z"},{"alias_kind":"pith_short_8","alias_value":"X6BHNNWH","created_at":"2026-07-13T01:20:26Z"}],"graph_snapshots":[{"event_id":"sha256:0ba270347674e5e6e430ca469f7fdd87fe858e626159eeddffdf4dda14260ef9","target":"graph","created_at":"2026-07-13T01:20:26Z","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/2607.09651/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a novel formulation of master equations for open systems wherein the evolution of a state is determined solely by its local behaviour at any point of time. Specifically, our formulation allows for a local interpretation of the workings of beyond-Markovian dynamics as opposed to the more common conception that non-Markovian state evolution is affected by its cumulative past history. Quite interestingly, local determinacy is found prevalent in quantum dynamics. We illustrate the advantages of our coordinate-free formulation with exact analyses on two physically relevant models.","authors_text":"Jaeha Lee, Miku Ishizaki","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T17:49:49Z","title":"Local Determinacy of Quantum Master Equations and a Mechanical Interpretation of the Multi-Mode Jaynes-Cummings and Central Spin Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09651","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":"sha256:20dbac77ccaec7645676b9a48a5c8071aadfcff910d41efac7b996849601e52c","target":"record","created_at":"2026-07-13T01:20:26Z","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":"3287a0e816ce50fe72ee7368f0d2fe76e0c820008bcb508d2f3efe0caf0023cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-07-10T17:49:49Z","title_canon_sha256":"bb6c346f22d1c943f5e344a3deb610fd89345f624a425cdef4b249a369c8f397"},"schema_version":"1.0","source":{"id":"2607.09651","kind":"arxiv","version":1}},"canonical_sha256":"bf8276b6c73a78ef6a6f94c4469abbb648a5bac0882996d269f6dea1a5a4fcbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf8276b6c73a78ef6a6f94c4469abbb648a5bac0882996d269f6dea1a5a4fcbe","first_computed_at":"2026-07-13T01:20:26.856246Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-13T01:20:26.856246Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IG9eFUfrSgOI2CX4QA9yHzMzlUigh7AeETIHx+bSyR6VXOzrXmTA8tvGSAV39IxdP8bVcGwwKUg+dqTTDGaDAQ==","signature_status":"signed_v1","signed_at":"2026-07-13T01:20:26.857696Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09651","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20dbac77ccaec7645676b9a48a5c8071aadfcff910d41efac7b996849601e52c","sha256:0ba270347674e5e6e430ca469f7fdd87fe858e626159eeddffdf4dda14260ef9"],"state_sha256":"4d9dd8104fa12cf2d8c5530d855da78a58243e9b5eed0f1864a8dd3258aef0d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2wtwakKoj3lun6bYC+ziStrnLncc2kH3NoSVc+wx1vi8UXaV4StTMAy/Zp1Yr350QSyizw7cERs3lMq2mVKQAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T12:12:12.606163Z","bundle_sha256":"86e17f619b24297d7a76acbb9cd68463f1ffaa6d92cd1f9ff677ae1f75a63af7"}}