{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:7TGCUHTOTHMED3UVOQSPEPZSRT","short_pith_number":"pith:7TGCUHTO","canonical_record":{"source":{"id":"2607.04834","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-06T09:08:52Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"8d93beb5f92d3bda4683840508421893d72dd1203e0ce82453b69c7162b8e32a","abstract_canon_sha256":"1db46ef34d2072338cb611f004347307ec232311ba379f67d94752144a1fd2bc"},"schema_version":"1.0"},"canonical_sha256":"fccc2a1e6e99d841ee957424f23f328cd456d324c8468191a3569ed0b000988d","source":{"kind":"arxiv","id":"2607.04834","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.04834","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"2607.04834v1","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.04834","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"7TGCUHTOTHME","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"pith_short_16","alias_value":"7TGCUHTOTHMED3UV","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"pith_short_8","alias_value":"7TGCUHTO","created_at":"2026-07-07T02:20:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:7TGCUHTOTHMED3UVOQSPEPZSRT","target":"record","payload":{"canonical_record":{"source":{"id":"2607.04834","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-06T09:08:52Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"8d93beb5f92d3bda4683840508421893d72dd1203e0ce82453b69c7162b8e32a","abstract_canon_sha256":"1db46ef34d2072338cb611f004347307ec232311ba379f67d94752144a1fd2bc"},"schema_version":"1.0"},"canonical_sha256":"fccc2a1e6e99d841ee957424f23f328cd456d324c8468191a3569ed0b000988d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T02:20:06.226808Z","signature_b64":"zOL3es0+BBV0GNehGDBBkKGb7S5sAAy8EjdCXBJxP56SInuZvOQ1CtFkZo/GP59cRxYLHJroVluYsuG6xjAwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fccc2a1e6e99d841ee957424f23f328cd456d324c8468191a3569ed0b000988d","last_reissued_at":"2026-07-07T02:20:06.226256Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T02:20:06.226256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.04834","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":"2026-07-07T02:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RgqTArFLocCM9clk01v0gOe6rdsl7o6w3srha1R/nxqF7dVr5B7npEb20q49qvOIJ8ODhNBLkWhK4+ofMKfuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T10:57:27.059208Z"},"content_sha256":"ab9d5ee43f58e06990fa4e9c2c39a8842a936862b8eb9282ca4966b60ec35595","schema_version":"1.0","event_id":"sha256:ab9d5ee43f58e06990fa4e9c2c39a8842a936862b8eb9282ca4966b60ec35595"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:7TGCUHTOTHMED3UVOQSPEPZSRT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hidden Gauge Freedom in Complex-Pole Hierarchical Equations of Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["quant-ph"],"primary_cat":"physics.chem-ph","authors_text":"Andr\\'es Montoya-Castillo, Tianchu Li","submitted_at":"2026-07-06T09:08:52Z","abstract_excerpt":"While complex-pole hierarchical equations of motion (HEOM) have dramatically expanded the reach of numerically exact quantum dynamics simulations of open quantum systems, they suffer from numerical instabilities rooted in the non-Hermitian structure of their Liouvillian. Yet, the origin of this structure remains obscure. Here, we report a previously unknown gauge freedom in complex-pole HEOM: a continuous family of analytically equivalent Liouvillians, all encoding the same bath correlation function, whose numerical properties vary dramatically. This gauge controls both the eigenspectrum and n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.04834","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/2607.04834/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":"2026-07-07T02:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2ezjKn0eGXDV9jPKccg/VwbrzfbB8XlFJ7hk8OB1g6+e+ot/wALFudE0nqCv5ugs2Yv7eb/4m1h0DtS51YCjAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T10:57:27.059714Z"},"content_sha256":"0a654e9de0bfa22a2b1b21611ac2bbc15518ab57df22144d80316617d7ac7264","schema_version":"1.0","event_id":"sha256:0a654e9de0bfa22a2b1b21611ac2bbc15518ab57df22144d80316617d7ac7264"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7TGCUHTOTHMED3UVOQSPEPZSRT/bundle.json","state_url":"https://pith.science/pith/7TGCUHTOTHMED3UVOQSPEPZSRT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7TGCUHTOTHMED3UVOQSPEPZSRT/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":"2026-08-03T10:57:27Z","links":{"resolver":"https://pith.science/pith/7TGCUHTOTHMED3UVOQSPEPZSRT","bundle":"https://pith.science/pith/7TGCUHTOTHMED3UVOQSPEPZSRT/bundle.json","state":"https://pith.science/pith/7TGCUHTOTHMED3UVOQSPEPZSRT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7TGCUHTOTHMED3UVOQSPEPZSRT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7TGCUHTOTHMED3UVOQSPEPZSRT","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":"1db46ef34d2072338cb611f004347307ec232311ba379f67d94752144a1fd2bc","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-06T09:08:52Z","title_canon_sha256":"8d93beb5f92d3bda4683840508421893d72dd1203e0ce82453b69c7162b8e32a"},"schema_version":"1.0","source":{"id":"2607.04834","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.04834","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"2607.04834v1","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.04834","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"7TGCUHTOTHME","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"pith_short_16","alias_value":"7TGCUHTOTHMED3UV","created_at":"2026-07-07T02:20:06Z"},{"alias_kind":"pith_short_8","alias_value":"7TGCUHTO","created_at":"2026-07-07T02:20:06Z"}],"graph_snapshots":[{"event_id":"sha256:0a654e9de0bfa22a2b1b21611ac2bbc15518ab57df22144d80316617d7ac7264","target":"graph","created_at":"2026-07-07T02:20:06Z","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/2607.04834/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"While complex-pole hierarchical equations of motion (HEOM) have dramatically expanded the reach of numerically exact quantum dynamics simulations of open quantum systems, they suffer from numerical instabilities rooted in the non-Hermitian structure of their Liouvillian. Yet, the origin of this structure remains obscure. Here, we report a previously unknown gauge freedom in complex-pole HEOM: a continuous family of analytically equivalent Liouvillians, all encoding the same bath correlation function, whose numerical properties vary dramatically. This gauge controls both the eigenspectrum and n","authors_text":"Andr\\'es Montoya-Castillo, Tianchu Li","cross_cats":["quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-06T09:08:52Z","title":"Hidden Gauge Freedom in Complex-Pole Hierarchical Equations of Motion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.04834","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:ab9d5ee43f58e06990fa4e9c2c39a8842a936862b8eb9282ca4966b60ec35595","target":"record","created_at":"2026-07-07T02:20:06Z","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":"1db46ef34d2072338cb611f004347307ec232311ba379f67d94752144a1fd2bc","cross_cats_sorted":["quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2026-07-06T09:08:52Z","title_canon_sha256":"8d93beb5f92d3bda4683840508421893d72dd1203e0ce82453b69c7162b8e32a"},"schema_version":"1.0","source":{"id":"2607.04834","kind":"arxiv","version":1}},"canonical_sha256":"fccc2a1e6e99d841ee957424f23f328cd456d324c8468191a3569ed0b000988d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fccc2a1e6e99d841ee957424f23f328cd456d324c8468191a3569ed0b000988d","first_computed_at":"2026-07-07T02:20:06.226256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T02:20:06.226256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zOL3es0+BBV0GNehGDBBkKGb7S5sAAy8EjdCXBJxP56SInuZvOQ1CtFkZo/GP59cRxYLHJroVluYsuG6xjAwAQ==","signature_status":"signed_v1","signed_at":"2026-07-07T02:20:06.226808Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.04834","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab9d5ee43f58e06990fa4e9c2c39a8842a936862b8eb9282ca4966b60ec35595","sha256:0a654e9de0bfa22a2b1b21611ac2bbc15518ab57df22144d80316617d7ac7264"],"state_sha256":"d3b2d4590a82b80373d14c5ecb917fbae24c16ee9f3b5018a4b8a11675d3bd58"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XrYSwta0suTPSSwWp9NUpjV3E8pAdVH0NlA0Va5FHqIcpmfg9rM5qvM4ypdk5p8FATEjckz3/dZuGwtJqybVAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T10:57:27.063242Z","bundle_sha256":"a7e5113954e42b6c78c4139c6d3564778c0668cac731093bb987e52e78bbf565"}}