{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:MRNPI4TGEWFTLO4MBXKWNGM7ZY","short_pith_number":"pith:MRNPI4TG","canonical_record":{"source":{"id":"2507.19323","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T14:34:53Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"6cfc5a6cd8766d27bc6224579b99ad6616542e980cc5bdaa9a99f5f225e66cd3","abstract_canon_sha256":"86a38208ced477bd24dcc0e0403adb11d151853bdd4b2045490d62ac05ec96e1"},"schema_version":"1.0"},"canonical_sha256":"645af47266258b35bb8c0dd566999fce30b06f7c5ef78fd9407f0d36e0cd1406","source":{"kind":"arxiv","id":"2507.19323","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19323","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19323v1","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19323","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"MRNPI4TGEWFT","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"pith_short_16","alias_value":"MRNPI4TGEWFTLO4M","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"pith_short_8","alias_value":"MRNPI4TG","created_at":"2026-07-05T11:44:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:MRNPI4TGEWFTLO4MBXKWNGM7ZY","target":"record","payload":{"canonical_record":{"source":{"id":"2507.19323","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T14:34:53Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"6cfc5a6cd8766d27bc6224579b99ad6616542e980cc5bdaa9a99f5f225e66cd3","abstract_canon_sha256":"86a38208ced477bd24dcc0e0403adb11d151853bdd4b2045490d62ac05ec96e1"},"schema_version":"1.0"},"canonical_sha256":"645af47266258b35bb8c0dd566999fce30b06f7c5ef78fd9407f0d36e0cd1406","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:44:52.727481Z","signature_b64":"+gMxIj80ct/abzaTsUwnMVVcCi+eg71IU56PEPgL/yVGi1JDMYCMyp2dMWIniGdDGCZtKVmjF7+Kqf3+Np4iDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"645af47266258b35bb8c0dd566999fce30b06f7c5ef78fd9407f0d36e0cd1406","last_reissued_at":"2026-07-05T11:44:52.727047Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:44:52.727047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.19323","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":"2026-07-05T11:44:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q38zUZ/KVARPubrbJPxPz3c1NcLUGE3El8t0JrM8bau9WOvD+JM000hLcuAlFT9nu+PcsVeVfl9sqb+H5pZsCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:20:48.328889Z"},"content_sha256":"6c4b3ebe12fdb5aca59f57372352ed2bece73b540e876b1aaa9b8709c139a7ad","schema_version":"1.0","event_id":"sha256:6c4b3ebe12fdb5aca59f57372352ed2bece73b540e876b1aaa9b8709c139a7ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:MRNPI4TGEWFTLO4MBXKWNGM7ZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Discretization Error of the Discrete Generalized Quantum Master Equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Joonho Lee, Lachlan P. Lindoy, Ruojing Peng","submitted_at":"2025-07-25T14:34:53Z","abstract_excerpt":"The transfer tensor method (TTM) [Cerrillo and Cao, Phys. Rev. Lett. 2014, 112, 110401] can be considered a discrete-time formulation of the Nakajima-Zwanzig quantum master equation (NZ-QME) for modeling non-Markovian quantum dynamics. A recent paper [Makri, J. Chem. Theory Comput. 2025, 21, 5037] raised concerns regarding the consistency of the TTM discretization, particularly a spurious term at the initial time \\( t=0 \\). This Communication presents a detailed analysis of the discretization structure of TTM, clarifying the origin of the initial-time correction and establishing a consistent r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19323","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/2507.19323/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":"2026-07-05T11:44:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LJDE9OvGZavhc46ceW5LIhwZYcSdCxftlGQKogtPYqki9A8UtJrSEe7L9FMlVNT6CHZbHGnjTjy0FWS0zVm2Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T10:20:48.329270Z"},"content_sha256":"35c248f97486dfb30e51e282db5995d1eb88844fe10720e7e068589f498b9906","schema_version":"1.0","event_id":"sha256:35c248f97486dfb30e51e282db5995d1eb88844fe10720e7e068589f498b9906"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MRNPI4TGEWFTLO4MBXKWNGM7ZY/bundle.json","state_url":"https://pith.science/pith/MRNPI4TGEWFTLO4MBXKWNGM7ZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MRNPI4TGEWFTLO4MBXKWNGM7ZY/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":"2026-07-07T10:20:48Z","links":{"resolver":"https://pith.science/pith/MRNPI4TGEWFTLO4MBXKWNGM7ZY","bundle":"https://pith.science/pith/MRNPI4TGEWFTLO4MBXKWNGM7ZY/bundle.json","state":"https://pith.science/pith/MRNPI4TGEWFTLO4MBXKWNGM7ZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MRNPI4TGEWFTLO4MBXKWNGM7ZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MRNPI4TGEWFTLO4MBXKWNGM7ZY","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":"86a38208ced477bd24dcc0e0403adb11d151853bdd4b2045490d62ac05ec96e1","cross_cats_sorted":["physics.chem-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T14:34:53Z","title_canon_sha256":"6cfc5a6cd8766d27bc6224579b99ad6616542e980cc5bdaa9a99f5f225e66cd3"},"schema_version":"1.0","source":{"id":"2507.19323","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.19323","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"2507.19323v1","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.19323","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"MRNPI4TGEWFT","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"pith_short_16","alias_value":"MRNPI4TGEWFTLO4M","created_at":"2026-07-05T11:44:52Z"},{"alias_kind":"pith_short_8","alias_value":"MRNPI4TG","created_at":"2026-07-05T11:44:52Z"}],"graph_snapshots":[{"event_id":"sha256:35c248f97486dfb30e51e282db5995d1eb88844fe10720e7e068589f498b9906","target":"graph","created_at":"2026-07-05T11:44:52Z","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/2507.19323/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The transfer tensor method (TTM) [Cerrillo and Cao, Phys. Rev. Lett. 2014, 112, 110401] can be considered a discrete-time formulation of the Nakajima-Zwanzig quantum master equation (NZ-QME) for modeling non-Markovian quantum dynamics. A recent paper [Makri, J. Chem. Theory Comput. 2025, 21, 5037] raised concerns regarding the consistency of the TTM discretization, particularly a spurious term at the initial time \\( t=0 \\). This Communication presents a detailed analysis of the discretization structure of TTM, clarifying the origin of the initial-time correction and establishing a consistent r","authors_text":"Joonho Lee, Lachlan P. Lindoy, Ruojing Peng","cross_cats":["physics.chem-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T14:34:53Z","title":"On the Discretization Error of the Discrete Generalized Quantum Master Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.19323","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":"sha256:6c4b3ebe12fdb5aca59f57372352ed2bece73b540e876b1aaa9b8709c139a7ad","target":"record","created_at":"2026-07-05T11:44:52Z","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":"86a38208ced477bd24dcc0e0403adb11d151853bdd4b2045490d62ac05ec96e1","cross_cats_sorted":["physics.chem-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-07-25T14:34:53Z","title_canon_sha256":"6cfc5a6cd8766d27bc6224579b99ad6616542e980cc5bdaa9a99f5f225e66cd3"},"schema_version":"1.0","source":{"id":"2507.19323","kind":"arxiv","version":1}},"canonical_sha256":"645af47266258b35bb8c0dd566999fce30b06f7c5ef78fd9407f0d36e0cd1406","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"645af47266258b35bb8c0dd566999fce30b06f7c5ef78fd9407f0d36e0cd1406","first_computed_at":"2026-07-05T11:44:52.727047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:44:52.727047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+gMxIj80ct/abzaTsUwnMVVcCi+eg71IU56PEPgL/yVGi1JDMYCMyp2dMWIniGdDGCZtKVmjF7+Kqf3+Np4iDw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:44:52.727481Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.19323","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c4b3ebe12fdb5aca59f57372352ed2bece73b540e876b1aaa9b8709c139a7ad","sha256:35c248f97486dfb30e51e282db5995d1eb88844fe10720e7e068589f498b9906"],"state_sha256":"78fec3ec00491ae7e7ca4b144f206971ab56520bce4198c72b3a02dc2d898fee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W84Sc0n47lnCBAxeiwtrqWs8s0LVflwb0A2A3mJNQNJ72s8uswvTOQFc+KoFRKtU0aFSWSgyq1p7QGuCaUgJBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T10:20:48.331280Z","bundle_sha256":"444f4a185804cee9498207e82a138760ddf2761437fdd7e4242d4b2ba7093225"}}