{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:6TB6M2X2QTCPLLB6N2CJINAJS2","short_pith_number":"pith:6TB6M2X2","canonical_record":{"source":{"id":"2607.24393","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-27T13:08:14Z","cross_cats_sorted":["cond-mat.stat-mech","cs.LG"],"title_canon_sha256":"7c9632d41cebc9a768ac8831d0e0599790e5f2d44dd3a104939710373b61b26f","abstract_canon_sha256":"b0d408ebc81f1131d1d95281902f1774ab3132beedb766941d821cbe70c57b79"},"schema_version":"1.0"},"canonical_sha256":"f4c3e66afa84c4f5ac3e6e84943409969b7b443613413ddce99cd8053d2f05c6","source":{"kind":"arxiv","id":"2607.24393","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24393","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24393v1","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24393","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"pith_short_12","alias_value":"6TB6M2X2QTCP","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"pith_short_16","alias_value":"6TB6M2X2QTCPLLB6","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"pith_short_8","alias_value":"6TB6M2X2","created_at":"2026-07-28T02:24:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:6TB6M2X2QTCPLLB6N2CJINAJS2","target":"record","payload":{"canonical_record":{"source":{"id":"2607.24393","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-27T13:08:14Z","cross_cats_sorted":["cond-mat.stat-mech","cs.LG"],"title_canon_sha256":"7c9632d41cebc9a768ac8831d0e0599790e5f2d44dd3a104939710373b61b26f","abstract_canon_sha256":"b0d408ebc81f1131d1d95281902f1774ab3132beedb766941d821cbe70c57b79"},"schema_version":"1.0"},"canonical_sha256":"f4c3e66afa84c4f5ac3e6e84943409969b7b443613413ddce99cd8053d2f05c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-28T02:24:00.788267Z","signature_b64":"ZANKPh45HqAOQqSRLcVwc/d2L52idXOgN6knDE61WWZwyVXYejawtAR880uNr8kGeXoTa1BDAWgGOQtmOUu+Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4c3e66afa84c4f5ac3e6e84943409969b7b443613413ddce99cd8053d2f05c6","last_reissued_at":"2026-07-28T02:24:00.787459Z","signature_status":"signed_v1","first_computed_at":"2026-07-28T02:24:00.787459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.24393","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":"2026-07-28T02:24:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZjrQ12hifGtx6O1q8Pta/HjRKZhy/oR5Bo9BcEddVx4heuoaKigDyAtEJbh/r1bqGbRVe4CjS6tuw9KgRZkwBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:35:00.672421Z"},"content_sha256":"d9c4c475472c2efccf6d4f2b63affcf4fcb15026ef7daa7ce4e7a60b50c5ff95","schema_version":"1.0","event_id":"sha256:d9c4c475472c2efccf6d4f2b63affcf4fcb15026ef7daa7ce4e7a60b50c5ff95"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:6TB6M2X2QTCPLLB6N2CJINAJS2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Counterdiabatic Driving via Biorthogonal Liouvillian Eigenmodes","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.LG"],"primary_cat":"physics.comp-ph","authors_text":"Johannes Brandstetter, Max Welling, Sandeep Suresh Cranganore, Sebastian Lehner","submitted_at":"2026-07-27T13:08:14Z","abstract_excerpt":"Finite-time driving of stochastic systems generates excess dissipation, causing the evolving probability distribution to lag behind the instantaneous equilibrium, and consequently degrading the convergence of nonequilibrium free energy estimators based on the Jarzynski equality. Escorted free energy simulations address the non-adiabatic lag by engineering control fields $\\mathbf{u}$ that eliminate the lag, enforcing the trajectory-wise equality $\\mathcal{W}_\\mathbf{u} = \\Delta \\mathcal{F}$, and yielding zero-variance estimators. However, constructing the escorting field in closed form remains "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24393","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/2607.24393/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":"2026-07-28T02:24:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QIsNcbEvpW5HB8GtvYNgOOyPLgPIysMtXlA5ztmy9DkQvHqkAn0cB/BqW79Gcbl7ft9jW1mqyinY6ONuO9mhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:35:00.672914Z"},"content_sha256":"5d93673646d58713db99a9456d941eb623886b7f7c863c1925895b0f3bff5565","schema_version":"1.0","event_id":"sha256:5d93673646d58713db99a9456d941eb623886b7f7c863c1925895b0f3bff5565"},{"event_type":"integrity_finding","subject_pith_number":"pith:2026:6TB6M2X2QTCPLLB6N2CJINAJS2","target":"integrity","payload":{"note":"Identifier '10.1039/tf9353100875/1608808/tf9353100875.pdf' is syntactically valid but the DOI registry (doi.org) returned 404, and Crossref / OpenAlex / internal corpus also have no record. The cited work could not be located through any authoritative source.","snippet":"M. G. Evans and M. Polanyi, Some applica- tions of the transition state method to the cal- culation of reaction velocities, especially in so- lution, Transactions of the Faraday Society 31, 875 (1935), https://pubs.rsc.org/tf/article- pdf/d","arxiv_id":"2607.24393","detector":"doi_compliance","evidence":{"doi":"10.1039/tf9353100875/1608808/tf9353100875.pdf","arxiv_id":null,"ref_index":45,"raw_excerpt":"M. G. Evans and M. Polanyi, Some applica- tions of the transition state method to the cal- culation of reaction velocities, especially in so- lution, Transactions of the Faraday Society 31, 875 (1935), https://pubs.rsc.org/tf/article- pdf/doi/10.1039/TF9353100875/1608808/tf9353100875.pdf","parse_status":"well_formed","verdict_class":"cross_source","checked_sources":["crossref_by_doi","openalex_by_doi","doi_org_head"],"resolution_status":"hard_miss"},"severity":"critical","ref_index":45,"audited_at":"2026-07-31T16:11:50.278481Z","event_type":"pith.integrity.v1","detected_doi":"10.1039/tf9353100875/1608808/tf9353100875.pdf","detector_url":"https://pith.science/pith-integrity-protocol#doi_compliance","external_url":null,"finding_type":"unresolvable_identifier","evidence_hash":"b676e11a59f75215b7ffc7f1a6a29ab81d55b5979063c0892fb7166a505e72e9","paper_version":1,"verdict_class":"cross_source","resolved_title":null,"detector_version":"1.1.0","detected_arxiv_id":null,"integrity_event_id":14442,"payload_sha256":"0b7870c7d7144a8b596842c29441e616496cfc5531761a6b24536020cb82054e","signature_b64":"oqq5/FSSMh+tZxdwxHUN7wg8qzouUgW/wmqqZ2bXW+nqi74kKnxLscC/+EW5AhAt/8vPlOQL/oGo44cDKhg8BQ==","signing_key_id":"pith-v1-2026-05"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-31T16:16:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKPkLkAc0F1KNDWMZyS4HMPgb6a1J3plTW1LKNROiEgaIMNlpWNCzcy2+OXvKn653XJucV0djP2Jd4HUCV6BAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T11:35:00.677016Z"},"content_sha256":"b6e6763bdb717af9dbb9a6892d436016590c86deb5ff693afc8073c3567497de","schema_version":"1.0","event_id":"sha256:b6e6763bdb717af9dbb9a6892d436016590c86deb5ff693afc8073c3567497de"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6TB6M2X2QTCPLLB6N2CJINAJS2/bundle.json","state_url":"https://pith.science/pith/6TB6M2X2QTCPLLB6N2CJINAJS2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6TB6M2X2QTCPLLB6N2CJINAJS2/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":"2026-08-04T11:35:00Z","links":{"resolver":"https://pith.science/pith/6TB6M2X2QTCPLLB6N2CJINAJS2","bundle":"https://pith.science/pith/6TB6M2X2QTCPLLB6N2CJINAJS2/bundle.json","state":"https://pith.science/pith/6TB6M2X2QTCPLLB6N2CJINAJS2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6TB6M2X2QTCPLLB6N2CJINAJS2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:6TB6M2X2QTCPLLB6N2CJINAJS2","merge_version":"pith-open-graph-merge-v1","event_count":3,"valid_event_count":3,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b0d408ebc81f1131d1d95281902f1774ab3132beedb766941d821cbe70c57b79","cross_cats_sorted":["cond-mat.stat-mech","cs.LG"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-27T13:08:14Z","title_canon_sha256":"7c9632d41cebc9a768ac8831d0e0599790e5f2d44dd3a104939710373b61b26f"},"schema_version":"1.0","source":{"id":"2607.24393","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24393","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24393v1","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24393","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"pith_short_12","alias_value":"6TB6M2X2QTCP","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"pith_short_16","alias_value":"6TB6M2X2QTCPLLB6","created_at":"2026-07-28T02:24:00Z"},{"alias_kind":"pith_short_8","alias_value":"6TB6M2X2","created_at":"2026-07-28T02:24:00Z"}],"graph_snapshots":[{"event_id":"sha256:5d93673646d58713db99a9456d941eb623886b7f7c863c1925895b0f3bff5565","target":"graph","created_at":"2026-07-28T02:24:00Z","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/2607.24393/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Finite-time driving of stochastic systems generates excess dissipation, causing the evolving probability distribution to lag behind the instantaneous equilibrium, and consequently degrading the convergence of nonequilibrium free energy estimators based on the Jarzynski equality. Escorted free energy simulations address the non-adiabatic lag by engineering control fields $\\mathbf{u}$ that eliminate the lag, enforcing the trajectory-wise equality $\\mathcal{W}_\\mathbf{u} = \\Delta \\mathcal{F}$, and yielding zero-variance estimators. However, constructing the escorting field in closed form remains ","authors_text":"Johannes Brandstetter, Max Welling, Sandeep Suresh Cranganore, Sebastian Lehner","cross_cats":["cond-mat.stat-mech","cs.LG"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-27T13:08:14Z","title":"Stochastic Counterdiabatic Driving via Biorthogonal Liouvillian Eigenmodes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24393","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:d9c4c475472c2efccf6d4f2b63affcf4fcb15026ef7daa7ce4e7a60b50c5ff95","target":"record","created_at":"2026-07-28T02:24:00Z","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":"b0d408ebc81f1131d1d95281902f1774ab3132beedb766941d821cbe70c57b79","cross_cats_sorted":["cond-mat.stat-mech","cs.LG"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2026-07-27T13:08:14Z","title_canon_sha256":"7c9632d41cebc9a768ac8831d0e0599790e5f2d44dd3a104939710373b61b26f"},"schema_version":"1.0","source":{"id":"2607.24393","kind":"arxiv","version":1}},"canonical_sha256":"f4c3e66afa84c4f5ac3e6e84943409969b7b443613413ddce99cd8053d2f05c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4c3e66afa84c4f5ac3e6e84943409969b7b443613413ddce99cd8053d2f05c6","first_computed_at":"2026-07-28T02:24:00.787459Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-28T02:24:00.787459Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZANKPh45HqAOQqSRLcVwc/d2L52idXOgN6knDE61WWZwyVXYejawtAR880uNr8kGeXoTa1BDAWgGOQtmOUu+Bg==","signature_status":"signed_v1","signed_at":"2026-07-28T02:24:00.788267Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24393","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9c4c475472c2efccf6d4f2b63affcf4fcb15026ef7daa7ce4e7a60b50c5ff95","sha256:5d93673646d58713db99a9456d941eb623886b7f7c863c1925895b0f3bff5565","sha256:b6e6763bdb717af9dbb9a6892d436016590c86deb5ff693afc8073c3567497de"],"state_sha256":"d311fe31049732b832db60fe829b8e896782225351fbd4ccc63a4162e3c40413"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MSuyxsYrJ1E21goNAOTHh2BHYpE5ecc7FaaYHEzDaL/h6Hm7HbGipwXHITblHIYL8fDvWpMmhFOzsJ0nO/MwCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T11:35:00.679122Z","bundle_sha256":"e83e1a0a77ef522b316dc1e789e1333299def0c0d4d17800ca56d543041d7e46"}}