{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:PLY6JTRC5ZTRBVKAOMQMQRRRC2","short_pith_number":"pith:PLY6JTRC","canonical_record":{"source":{"id":"2605.10613","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-05-11T14:10:31Z","cross_cats_sorted":["cs.LG","physics.bio-ph"],"title_canon_sha256":"8f9d3f04e682e7309aa5eb698b3ca52ac8813626251258447d6f4f3504cbc30f","abstract_canon_sha256":"b89d62ab0c165d752f893a141fea340f14dd2888e84ca1d62e279414e5c38c72"},"schema_version":"1.0"},"canonical_sha256":"7af1e4ce22ee6710d5407320c8463116b770d4f1cfdfe517b3b2fee3cd883a07","source":{"kind":"arxiv","id":"2605.10613","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.10613","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"2605.10613v1","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.10613","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"PLY6JTRC5ZTR","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"pith_short_16","alias_value":"PLY6JTRC5ZTRBVKA","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"pith_short_8","alias_value":"PLY6JTRC","created_at":"2026-06-23T03:14:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:PLY6JTRC5ZTRBVKAOMQMQRRRC2","target":"record","payload":{"canonical_record":{"source":{"id":"2605.10613","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-05-11T14:10:31Z","cross_cats_sorted":["cs.LG","physics.bio-ph"],"title_canon_sha256":"8f9d3f04e682e7309aa5eb698b3ca52ac8813626251258447d6f4f3504cbc30f","abstract_canon_sha256":"b89d62ab0c165d752f893a141fea340f14dd2888e84ca1d62e279414e5c38c72"},"schema_version":"1.0"},"canonical_sha256":"7af1e4ce22ee6710d5407320c8463116b770d4f1cfdfe517b3b2fee3cd883a07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T03:14:29.043684Z","signature_b64":"53wmdqKQcaEYbewkRdzZAeJmzCA/cVtpDcTv2FkZvvVHy9OJKSX7clIJNJr0D7yyLIfLpXctroww2cyeOTK0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7af1e4ce22ee6710d5407320c8463116b770d4f1cfdfe517b3b2fee3cd883a07","last_reissued_at":"2026-06-23T03:14:29.043179Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T03:14:29.043179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.10613","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":"2026-06-23T03:14:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yDUeXvMF/muhOTcBdGziWmoKg3xgzOiXrP9X2oiEh4qyknoV8OcpgT4lQk+fvDWleHAV5Z6cHenOq1lrfZqjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:38:26.233914Z"},"content_sha256":"5eaafd30d59c7df20f0649cd947bddee8b8cc02752a8fe735fb73fdf83a0adc6","schema_version":"1.0","event_id":"sha256:5eaafd30d59c7df20f0649cd947bddee8b8cc02752a8fe735fb73fdf83a0adc6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:PLY6JTRC5ZTRBVKAOMQMQRRRC2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Fixed-Point Constraints in Neural-ODEs with Provable Universality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Neural-ODEs can approximate arbitrary velocity fields while exactly forcing velocity to zero at any finite set of prescribed points.","cross_cats":["cs.LG","physics.bio-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Diego Febbe, Duccio Fanelli, Feliciano Giuseppe Pacifico, Lorenzo Buffoni, Lorenzo Chicchi, Raffaele Marino","submitted_at":"2026-05-11T14:10:31Z","abstract_excerpt":"We introduce a technique that enables Neural-ODEs to approximate arbitrary velocity fields with a priori planted fixed-points. Specifically, a recipe is given to explicitly accommodate for a finite collection of points in the reference multi-dimensional space of the Neural-ODE where the velocity field is exactly equal to zero. In this way, the gradient-based training is rigorously constrained inside the prescribed hypothesis class while leaving the expressive power of the Neural-ODE unaltered. We rigorously prove the universality of the Neural-ODE under any local constraints in the velocity fi"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We rigorously prove the universality of the Neural-ODE under any local constraints in the velocity field and give a computationally convenient way of imposing the fixed points.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the explicit accommodation for fixed points can be introduced without reducing the expressive power of the underlying Neural-ODE architecture.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A technique plants exact fixed points in Neural-ODE velocity fields with a rigorous proof that universality is preserved under local constraints.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Neural-ODEs can approximate arbitrary velocity fields while exactly forcing velocity to zero at any finite set of prescribed points.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"f516d737a038bd4a5a965319dcaadeb6d08e25633bdbcef27050fd26c22600bb"},"source":{"id":"2605.10613","kind":"arxiv","version":1},"verdict":{"id":"75c9c7d9-f6c2-43c4-918e-800a2aa54c5e","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-12T05:16:53.050561Z","strongest_claim":"We rigorously prove the universality of the Neural-ODE under any local constraints in the velocity field and give a computationally convenient way of imposing the fixed points.","one_line_summary":"A technique plants exact fixed points in Neural-ODE velocity fields with a rigorous proof that universality is preserved under local constraints.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the explicit accommodation for fixed points can be introduced without reducing the expressive power of the underlying Neural-ODE architecture.","pith_extraction_headline":"Neural-ODEs can approximate arbitrary velocity fields while exactly forcing velocity to zero at any finite set of prescribed points."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.10613/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"claim_evidence","ran_at":"2026-05-20T05:42:00.804160Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T14:40:33.025652Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_title_agreement","ran_at":"2026-05-19T11:01:17.521371Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T09:06:16.142850Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"3ea4b50293f365bd1ab2c7a6d19fedbb086e6e7102f7d1033999049ab7d3a034"},"references":{"count":32,"sample":[{"doi":"","year":null,"title":"Advances in Neural Information Processing Systems (NeurIPS) , year =","work_id":"a4bda9df-6b80-4026-b380-b13ae65db551","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"Multiplicity of Time Scales in Complex Systems: Challenges for Sciences and Communication II , editor =","work_id":"9b9905ba-56cd-4e0a-8838-70329103f076","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2025,"title":"Daniel A. Serino and Allen Alvarez Loya and J. W. Burby and Ioannis G. Kevrekidis and Qi Tang , title =. Journal of Computational Physics , volume =. 2025 , doi =","work_id":"df0c4263-895a-4557-8392-c8c34841b074","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1927,"title":"Variazioni e fluttuazioni del numero d'individui in specie animali conviventi , author=. 1927 , publisher=","work_id":"ccdb3889-c7e0-4071-b906-a7c4b484f236","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Golub and Charles F","work_id":"06fc0654-d261-49c3-9c96-e54bbc94c1a8","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":32,"snapshot_sha256":"ba9c88772c26f94f7605249e986fb21871a4d4f6ee1e0bcd371c6d0cbef03619","internal_anchors":2},"formal_canon":{"evidence_count":2,"snapshot_sha256":"d3e6852cc74e5f6d1edba46855f8c628b4e3c846e417683a04809c29ecb9419a"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"75c9c7d9-f6c2-43c4-918e-800a2aa54c5e"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-23T03:14:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"85aeK6At2SypjtYN2iY6Q+WPq/dFSuleOvK1Dfe1Iji6OgsrN4RpIh6Pda0ePZVRdkBixGJ9dwmFASCEnZGDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:38:26.234504Z"},"content_sha256":"c940c412015d0cad941a1a05df56535e8c1e3eecec3af83d463c7f49b35a655f","schema_version":"1.0","event_id":"sha256:c940c412015d0cad941a1a05df56535e8c1e3eecec3af83d463c7f49b35a655f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PLY6JTRC5ZTRBVKAOMQMQRRRC2/bundle.json","state_url":"https://pith.science/pith/PLY6JTRC5ZTRBVKAOMQMQRRRC2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PLY6JTRC5ZTRBVKAOMQMQRRRC2/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":"2026-06-27T19:38:26Z","links":{"resolver":"https://pith.science/pith/PLY6JTRC5ZTRBVKAOMQMQRRRC2","bundle":"https://pith.science/pith/PLY6JTRC5ZTRBVKAOMQMQRRRC2/bundle.json","state":"https://pith.science/pith/PLY6JTRC5ZTRBVKAOMQMQRRRC2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PLY6JTRC5ZTRBVKAOMQMQRRRC2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:PLY6JTRC5ZTRBVKAOMQMQRRRC2","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":"b89d62ab0c165d752f893a141fea340f14dd2888e84ca1d62e279414e5c38c72","cross_cats_sorted":["cs.LG","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-05-11T14:10:31Z","title_canon_sha256":"8f9d3f04e682e7309aa5eb698b3ca52ac8813626251258447d6f4f3504cbc30f"},"schema_version":"1.0","source":{"id":"2605.10613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.10613","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"arxiv_version","alias_value":"2605.10613v1","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.10613","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"pith_short_12","alias_value":"PLY6JTRC5ZTR","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"pith_short_16","alias_value":"PLY6JTRC5ZTRBVKA","created_at":"2026-06-23T03:14:29Z"},{"alias_kind":"pith_short_8","alias_value":"PLY6JTRC","created_at":"2026-06-23T03:14:29Z"}],"graph_snapshots":[{"event_id":"sha256:c940c412015d0cad941a1a05df56535e8c1e3eecec3af83d463c7f49b35a655f","target":"graph","created_at":"2026-06-23T03:14:29Z","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":"We rigorously prove the universality of the Neural-ODE under any local constraints in the velocity field and give a computationally convenient way of imposing the fixed points."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"That the explicit accommodation for fixed points can be introduced without reducing the expressive power of the underlying Neural-ODE architecture."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A technique plants exact fixed points in Neural-ODE velocity fields with a rigorous proof that universality is preserved under local constraints."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Neural-ODEs can approximate arbitrary velocity fields while exactly forcing velocity to zero at any finite set of prescribed points."}],"snapshot_sha256":"f516d737a038bd4a5a965319dcaadeb6d08e25633bdbcef27050fd26c22600bb"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"d3e6852cc74e5f6d1edba46855f8c628b4e3c846e417683a04809c29ecb9419a"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-20T05:42:00.804160Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T14:40:33.025652Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T11:01:17.521371Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T09:06:16.142850Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.10613/integrity.json","findings":[],"snapshot_sha256":"3ea4b50293f365bd1ab2c7a6d19fedbb086e6e7102f7d1033999049ab7d3a034","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a technique that enables Neural-ODEs to approximate arbitrary velocity fields with a priori planted fixed-points. Specifically, a recipe is given to explicitly accommodate for a finite collection of points in the reference multi-dimensional space of the Neural-ODE where the velocity field is exactly equal to zero. In this way, the gradient-based training is rigorously constrained inside the prescribed hypothesis class while leaving the expressive power of the Neural-ODE unaltered. We rigorously prove the universality of the Neural-ODE under any local constraints in the velocity fi","authors_text":"Diego Febbe, Duccio Fanelli, Feliciano Giuseppe Pacifico, Lorenzo Buffoni, Lorenzo Chicchi, Raffaele Marino","cross_cats":["cs.LG","physics.bio-ph"],"headline":"Neural-ODEs can approximate arbitrary velocity fields while exactly forcing velocity to zero at any finite set of prescribed points.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-05-11T14:10:31Z","title":"Exact Fixed-Point Constraints in Neural-ODEs with Provable Universality"},"references":{"count":32,"internal_anchors":2,"resolved_work":32,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Advances in Neural Information Processing Systems (NeurIPS) , year =","work_id":"a4bda9df-6b80-4026-b380-b13ae65db551","year":null},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Multiplicity of Time Scales in Complex Systems: Challenges for Sciences and Communication II , editor =","work_id":"9b9905ba-56cd-4e0a-8838-70329103f076","year":2024},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Daniel A. Serino and Allen Alvarez Loya and J. W. Burby and Ioannis G. Kevrekidis and Qi Tang , title =. Journal of Computational Physics , volume =. 2025 , doi =","work_id":"df0c4263-895a-4557-8392-c8c34841b074","year":2025},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Variazioni e fluttuazioni del numero d'individui in specie animali conviventi , author=. 1927 , publisher=","work_id":"ccdb3889-c7e0-4071-b906-a7c4b484f236","year":1927},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Golub and Charles F","work_id":"06fc0654-d261-49c3-9c96-e54bbc94c1a8","year":null}],"snapshot_sha256":"ba9c88772c26f94f7605249e986fb21871a4d4f6ee1e0bcd371c6d0cbef03619"},"source":{"id":"2605.10613","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-12T05:16:53.050561Z","id":"75c9c7d9-f6c2-43c4-918e-800a2aa54c5e","model_set":{"reader":"grok-4.3"},"one_line_summary":"A technique plants exact fixed points in Neural-ODE velocity fields with a rigorous proof that universality is preserved under local constraints.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Neural-ODEs can approximate arbitrary velocity fields while exactly forcing velocity to zero at any finite set of prescribed points.","strongest_claim":"We rigorously prove the universality of the Neural-ODE under any local constraints in the velocity field and give a computationally convenient way of imposing the fixed points.","weakest_assumption":"That the explicit accommodation for fixed points can be introduced without reducing the expressive power of the underlying Neural-ODE architecture."}},"verdict_id":"75c9c7d9-f6c2-43c4-918e-800a2aa54c5e"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5eaafd30d59c7df20f0649cd947bddee8b8cc02752a8fe735fb73fdf83a0adc6","target":"record","created_at":"2026-06-23T03:14:29Z","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":"b89d62ab0c165d752f893a141fea340f14dd2888e84ca1d62e279414e5c38c72","cross_cats_sorted":["cs.LG","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2026-05-11T14:10:31Z","title_canon_sha256":"8f9d3f04e682e7309aa5eb698b3ca52ac8813626251258447d6f4f3504cbc30f"},"schema_version":"1.0","source":{"id":"2605.10613","kind":"arxiv","version":1}},"canonical_sha256":"7af1e4ce22ee6710d5407320c8463116b770d4f1cfdfe517b3b2fee3cd883a07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7af1e4ce22ee6710d5407320c8463116b770d4f1cfdfe517b3b2fee3cd883a07","first_computed_at":"2026-06-23T03:14:29.043179Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T03:14:29.043179Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"53wmdqKQcaEYbewkRdzZAeJmzCA/cVtpDcTv2FkZvvVHy9OJKSX7clIJNJr0D7yyLIfLpXctroww2cyeOTK0BQ==","signature_status":"signed_v1","signed_at":"2026-06-23T03:14:29.043684Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.10613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5eaafd30d59c7df20f0649cd947bddee8b8cc02752a8fe735fb73fdf83a0adc6","sha256:c940c412015d0cad941a1a05df56535e8c1e3eecec3af83d463c7f49b35a655f"],"state_sha256":"2294770f8701ec1cdb26d44fcb9db6bd4d12b6e129a8c2dc136701ef220f3da0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DUxlJvihQt23eDCdRStkmTYcbNhRa8ff1dVSsiNDZYQqgjIut9jEChh19EPTSBfmM/frO+PCeRoiRSXY2nDQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T19:38:26.237011Z","bundle_sha256":"c0251547c93d0dd7235899011a8c8b6d6d2f5a9e35dac7147e65dc52d97112a8"}}