{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:L5OPJ2BGAAP46B4QADXF2YACAQ","short_pith_number":"pith:L5OPJ2BG","canonical_record":{"source":{"id":"2605.13518","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-13T13:35:17Z","cross_cats_sorted":[],"title_canon_sha256":"3a7a5cb96b6d1b28fd6e53ab76e5bbe109c012c953548cec1658fcbe8f26baf9","abstract_canon_sha256":"ce9423eb565eccf84256f69fd89af5ba0a12c5d6af22f79500c72cb8f0995a7a"},"schema_version":"1.0"},"canonical_sha256":"5f5cf4e826001fcf079000ee5d60020430f70e86c6ebbd71cdc502a7d4a9b151","source":{"kind":"arxiv","id":"2605.13518","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13518","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13518v1","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13518","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"L5OPJ2BGAAP4","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"L5OPJ2BGAAP46B4Q","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"L5OPJ2BG","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:L5OPJ2BGAAP46B4QADXF2YACAQ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.13518","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-13T13:35:17Z","cross_cats_sorted":[],"title_canon_sha256":"3a7a5cb96b6d1b28fd6e53ab76e5bbe109c012c953548cec1658fcbe8f26baf9","abstract_canon_sha256":"ce9423eb565eccf84256f69fd89af5ba0a12c5d6af22f79500c72cb8f0995a7a"},"schema_version":"1.0"},"canonical_sha256":"5f5cf4e826001fcf079000ee5d60020430f70e86c6ebbd71cdc502a7d4a9b151","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:24.414984Z","signature_b64":"P58xjDznDS1B0iEwDt17J/FO1EDdMYHVbma8OinwGLTLBo3UQRrEO7lQD7/hrAsL9wQGT5Vhjo+peqrJfTIvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f5cf4e826001fcf079000ee5d60020430f70e86c6ebbd71cdc502a7d4a9b151","last_reissued_at":"2026-05-18T02:44:24.414542Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:24.414542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.13518","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":"2026-05-18T02:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"758vDZgV0qmjP4FP7g8Nr8sscOgRYzdp0rRPJMK+YYsdH7HtXZFEn250QNyjPT0wj5tx7jqbPwN7mQqg13OJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:24:35.267530Z"},"content_sha256":"1c85b2a3695fd13feda7bb35f4529d47549511edba21b24b8bf694ec103ebd58","schema_version":"1.0","event_id":"sha256:1c85b2a3695fd13feda7bb35f4529d47549511edba21b24b8bf694ec103ebd58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:L5OPJ2BGAAP46B4QADXF2YACAQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The inertial It\\^o drift and its applications to particle collision","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The small-mass limit of inertial particles driven by Ornstein-Uhlenbeck forces produces an extra inertial Itô drift whose strength depends on the ratio of mass to correlation time.","cross_cats":[],"primary_cat":"math.PR","authors_text":"Franco Flandoli, Mengzi Xie, Sandra Cerrai","submitted_at":"2026-05-13T13:35:17Z","abstract_excerpt":"The small mass $\\mu$ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time $\\epsilon$ going to zero, leads to a first order system with an additional drift, which we call inertial-It\\^{o}-drift, depending on the limit $\\alpha$ of the ratio $\\mu/\\epsilon$; the drift being zero when $\\alpha=0$, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory, when applied directly to the first-order system with Ornstein-Uhlenbeck driver. We discuss the application of this result to particles driven by Stokes force;\\ we identif"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The small mass μ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time ε going to zero, leads to a first order system with an additional drift, which we call inertial-Itô-drift, depending on the limit α of the ratio μ/ε; the drift being zero when α=0, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the driving force is an Ornstein-Uhlenbeck process and that the double limit is taken with μ/ε → α, allowing the application of Wong-Zakai type results to the inertial system.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The inertial Itô drift emerges in the limiting first-order equation for small-mass particles in Ornstein-Uhlenbeck driven flows, vanishing only for zero mass-to-correlation-time ratio and corresponding to Stratonovich calculus.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The small-mass limit of inertial particles driven by Ornstein-Uhlenbeck forces produces an extra inertial Itô drift whose strength depends on the ratio of mass to correlation time.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ba3897e93c859ae28f5bd4c513fc1c1e0d9d05d02e1403b34714b076fa0a3ec2"},"source":{"id":"2605.13518","kind":"arxiv","version":1},"verdict":{"id":"0c728552-defb-4189-aeda-6ea145d844ea","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:18:31.064099Z","strongest_claim":"The small mass μ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time ε going to zero, leads to a first order system with an additional drift, which we call inertial-Itô-drift, depending on the limit α of the ratio μ/ε; the drift being zero when α=0, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory.","one_line_summary":"The inertial Itô drift emerges in the limiting first-order equation for small-mass particles in Ornstein-Uhlenbeck driven flows, vanishing only for zero mass-to-correlation-time ratio and corresponding to Stratonovich calculus.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the driving force is an Ornstein-Uhlenbeck process and that the double limit is taken with μ/ε → α, allowing the application of Wong-Zakai type results to the inertial system.","pith_extraction_headline":"The small-mass limit of inertial particles driven by Ornstein-Uhlenbeck forces produces an extra inertial Itô drift whose strength depends on the ratio of mass to correlation time."},"references":{"count":17,"sample":[{"doi":"","year":2024,"title":"J. Bec, K. Gustavsson, B. Mehlig,Statistical models for the dynamics of heavy particles in turbulence, Annu. Rev. Fluid Mech. 56 (2024), pp. 189–213","work_id":"fcf6b589-d08f-46f5-a825-7fd2ecce3647","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2006,"title":"C. L. Berselli, T. Iliescu, J. W. Layton,Mathematics of Large Eddy Simulation of Turbulent Flows, Springer, 2006","work_id":"877703d3-b5db-4782-8f09-b9740ec886ea","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Boussinesq,Essai sur la th´ eorie des eaux courantes, M´ emoires pr´ esent´ es par divers savants a l’Academie des Sciences de l’Institut National de France, XXIII (1), (1877)","work_id":"34df87fc-50e6-4e96-b110-a491a7f36e76","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2009,"title":"Cerrai,A Khasminskii type averaging principle for stochastic reaction-diffusion equations, Annals of Applied Probability 19 (2009), pp","work_id":"303edd4a-64d6-4755-b885-31302e6fa8b3","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2016,"title":"F. De Lillo, M. Cencini, S. Musacchio, G. Boffetta,Clustering and turbophoresis in a shear flow without walls, Physics of Fluids 28 (2016)","work_id":"797dda36-363d-41c0-b85b-887a1ad8fc27","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":17,"snapshot_sha256":"78c8a59588179afd6ad3b6059feef32424e8bb686db7444f0c443a1e53be6b11","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":"0c728552-defb-4189-aeda-6ea145d844ea"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X4GSql6BXJdiRCaqBh8XAk2uAXxdK+e5ssMWUmuQF3O4WvB7YOoxjk4bIAAxHSl0yXvH6NXdUceWU2pFkdrkAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:24:35.269080Z"},"content_sha256":"beb398b7d12ed66c7d2742e2946f48c089da3475162c12ee7903ca2bd92236a1","schema_version":"1.0","event_id":"sha256:beb398b7d12ed66c7d2742e2946f48c089da3475162c12ee7903ca2bd92236a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L5OPJ2BGAAP46B4QADXF2YACAQ/bundle.json","state_url":"https://pith.science/pith/L5OPJ2BGAAP46B4QADXF2YACAQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L5OPJ2BGAAP46B4QADXF2YACAQ/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":"2026-05-31T19:24:35Z","links":{"resolver":"https://pith.science/pith/L5OPJ2BGAAP46B4QADXF2YACAQ","bundle":"https://pith.science/pith/L5OPJ2BGAAP46B4QADXF2YACAQ/bundle.json","state":"https://pith.science/pith/L5OPJ2BGAAP46B4QADXF2YACAQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L5OPJ2BGAAP46B4QADXF2YACAQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:L5OPJ2BGAAP46B4QADXF2YACAQ","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":"ce9423eb565eccf84256f69fd89af5ba0a12c5d6af22f79500c72cb8f0995a7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-13T13:35:17Z","title_canon_sha256":"3a7a5cb96b6d1b28fd6e53ab76e5bbe109c012c953548cec1658fcbe8f26baf9"},"schema_version":"1.0","source":{"id":"2605.13518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13518","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13518v1","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13518","created_at":"2026-05-18T02:44:24Z"},{"alias_kind":"pith_short_12","alias_value":"L5OPJ2BGAAP4","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"L5OPJ2BGAAP46B4Q","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"L5OPJ2BG","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:beb398b7d12ed66c7d2742e2946f48c089da3475162c12ee7903ca2bd92236a1","target":"graph","created_at":"2026-05-18T02:44:24Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The small mass μ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time ε going to zero, leads to a first order system with an additional drift, which we call inertial-Itô-drift, depending on the limit α of the ratio μ/ε; the drift being zero when α=0, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the driving force is an Ornstein-Uhlenbeck process and that the double limit is taken with μ/ε → α, allowing the application of Wong-Zakai type results to the inertial system."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"The inertial Itô drift emerges in the limiting first-order equation for small-mass particles in Ornstein-Uhlenbeck driven flows, vanishing only for zero mass-to-correlation-time ratio and corresponding to Stratonovich calculus."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The small-mass limit of inertial particles driven by Ornstein-Uhlenbeck forces produces an extra inertial Itô drift whose strength depends on the ratio of mass to correlation time."}],"snapshot_sha256":"ba3897e93c859ae28f5bd4c513fc1c1e0d9d05d02e1403b34714b076fa0a3ec2"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The small mass $\\mu$ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time $\\epsilon$ going to zero, leads to a first order system with an additional drift, which we call inertial-It\\^{o}-drift, depending on the limit $\\alpha$ of the ratio $\\mu/\\epsilon$; the drift being zero when $\\alpha=0$, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory, when applied directly to the first-order system with Ornstein-Uhlenbeck driver. We discuss the application of this result to particles driven by Stokes force;\\ we identif","authors_text":"Franco Flandoli, Mengzi Xie, Sandra Cerrai","cross_cats":[],"headline":"The small-mass limit of inertial particles driven by Ornstein-Uhlenbeck forces produces an extra inertial Itô drift whose strength depends on the ratio of mass to correlation time.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-13T13:35:17Z","title":"The inertial It\\^o drift and its applications to particle collision"},"references":{"count":17,"internal_anchors":0,"resolved_work":17,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"J. Bec, K. Gustavsson, B. Mehlig,Statistical models for the dynamics of heavy particles in turbulence, Annu. Rev. Fluid Mech. 56 (2024), pp. 189–213","work_id":"fcf6b589-d08f-46f5-a825-7fd2ecce3647","year":2024},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"C. L. Berselli, T. Iliescu, J. W. Layton,Mathematics of Large Eddy Simulation of Turbulent Flows, Springer, 2006","work_id":"877703d3-b5db-4782-8f09-b9740ec886ea","year":2006},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Boussinesq,Essai sur la th´ eorie des eaux courantes, M´ emoires pr´ esent´ es par divers savants a l’Academie des Sciences de l’Institut National de France, XXIII (1), (1877)","work_id":"34df87fc-50e6-4e96-b110-a491a7f36e76","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Cerrai,A Khasminskii type averaging principle for stochastic reaction-diffusion equations, Annals of Applied Probability 19 (2009), pp","work_id":"303edd4a-64d6-4755-b885-31302e6fa8b3","year":2009},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"F. De Lillo, M. Cencini, S. Musacchio, G. Boffetta,Clustering and turbophoresis in a shear flow without walls, Physics of Fluids 28 (2016)","work_id":"797dda36-363d-41c0-b85b-887a1ad8fc27","year":2016}],"snapshot_sha256":"78c8a59588179afd6ad3b6059feef32424e8bb686db7444f0c443a1e53be6b11"},"source":{"id":"2605.13518","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T18:18:31.064099Z","id":"0c728552-defb-4189-aeda-6ea145d844ea","model_set":{"reader":"grok-4.3"},"one_line_summary":"The inertial Itô drift emerges in the limiting first-order equation for small-mass particles in Ornstein-Uhlenbeck driven flows, vanishing only for zero mass-to-correlation-time ratio and corresponding to Stratonovich calculus.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The small-mass limit of inertial particles driven by Ornstein-Uhlenbeck forces produces an extra inertial Itô drift whose strength depends on the ratio of mass to correlation time.","strongest_claim":"The small mass μ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time ε going to zero, leads to a first order system with an additional drift, which we call inertial-Itô-drift, depending on the limit α of the ratio μ/ε; the drift being zero when α=0, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory.","weakest_assumption":"That the driving force is an Ornstein-Uhlenbeck process and that the double limit is taken with μ/ε → α, allowing the application of Wong-Zakai type results to the inertial system."}},"verdict_id":"0c728552-defb-4189-aeda-6ea145d844ea"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1c85b2a3695fd13feda7bb35f4529d47549511edba21b24b8bf694ec103ebd58","target":"record","created_at":"2026-05-18T02:44:24Z","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":"ce9423eb565eccf84256f69fd89af5ba0a12c5d6af22f79500c72cb8f0995a7a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-13T13:35:17Z","title_canon_sha256":"3a7a5cb96b6d1b28fd6e53ab76e5bbe109c012c953548cec1658fcbe8f26baf9"},"schema_version":"1.0","source":{"id":"2605.13518","kind":"arxiv","version":1}},"canonical_sha256":"5f5cf4e826001fcf079000ee5d60020430f70e86c6ebbd71cdc502a7d4a9b151","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f5cf4e826001fcf079000ee5d60020430f70e86c6ebbd71cdc502a7d4a9b151","first_computed_at":"2026-05-18T02:44:24.414542Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:24.414542Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P58xjDznDS1B0iEwDt17J/FO1EDdMYHVbma8OinwGLTLBo3UQRrEO7lQD7/hrAsL9wQGT5Vhjo+peqrJfTIvAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:24.414984Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c85b2a3695fd13feda7bb35f4529d47549511edba21b24b8bf694ec103ebd58","sha256:beb398b7d12ed66c7d2742e2946f48c089da3475162c12ee7903ca2bd92236a1"],"state_sha256":"eec961783739c3ec76e51ac3882e48cd108b043a6ddc141ca649090f0b1d665a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3aXxds1HYpxhDcaH2hEaJnXVHWDApuDzquuvtkLUpugpoYBFQgFTbodKtuEtuL5fiU+78pA10xDW5bw+CvceDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:24:35.275830Z","bundle_sha256":"14c1700e1ebddefa7a6ff87a46bc70242cf0635f0f076713c89350c96c3d0a22"}}