{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VXRFVTBFROYN3YMEAR6GBVAOEU","short_pith_number":"pith:VXRFVTBF","canonical_record":{"source":{"id":"2605.12936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-13T03:15:39Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"cdb4a632cf771d31e9885a63c6cc5249320f96be007d4b6c45f907f8ba75b753","abstract_canon_sha256":"23bba7692b28bf2974eb22db0f659bac2111ec1200061bd7a58ca4d3248453c9"},"schema_version":"1.0"},"canonical_sha256":"ade25acc258bb0dde184047c60d40e2511e941682455b446dd3e811682c0da4c","source":{"kind":"arxiv","id":"2605.12936","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.12936","created_at":"2026-05-18T03:09:09Z"},{"alias_kind":"arxiv_version","alias_value":"2605.12936v1","created_at":"2026-05-18T03:09:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.12936","created_at":"2026-05-18T03:09:09Z"},{"alias_kind":"pith_short_12","alias_value":"VXRFVTBFROYN","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"VXRFVTBFROYN3YME","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"VXRFVTBF","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VXRFVTBFROYN3YMEAR6GBVAOEU","target":"record","payload":{"canonical_record":{"source":{"id":"2605.12936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-13T03:15:39Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"cdb4a632cf771d31e9885a63c6cc5249320f96be007d4b6c45f907f8ba75b753","abstract_canon_sha256":"23bba7692b28bf2974eb22db0f659bac2111ec1200061bd7a58ca4d3248453c9"},"schema_version":"1.0"},"canonical_sha256":"ade25acc258bb0dde184047c60d40e2511e941682455b446dd3e811682c0da4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:09:09.833173Z","signature_b64":"szFN/pjzOM7pdv/ov7NGmUGZ8LyqszSslwBV08VyfkU7LTP5tO1sCORG9KdwfrlU2i+7cDQfGi/nAdjsuf1BAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ade25acc258bb0dde184047c60d40e2511e941682455b446dd3e811682c0da4c","last_reissued_at":"2026-05-18T03:09:09.832354Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:09:09.832354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.12936","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":"2026-05-18T03:09:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"70hvpJ5NAMg8g0nxYseNh2N74ERqO9f3N1l0JySqlaJMBJ+Aqsx4ZJBGYphYTT+C9c/kdg/RMoH3QLqVPm+BCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:38:37.302284Z"},"content_sha256":"5d8bf0cf6144384f3023883f7fa232a3869158a86faa452ace817c4ae0a46a5d","schema_version":"1.0","event_id":"sha256:5d8bf0cf6144384f3023883f7fa232a3869158a86faa452ace817c4ae0a46a5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VXRFVTBFROYN3YMEAR6GBVAOEU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Uniformly Accurate Multiscale Time Integrator for the Klein-Gordon-Schr\\\"odinger Equations in the Nonrelativistic Regime via Simplified Transmission Conditions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The MTI-FP method achieves uniform first-order accuracy in time for the Klein-Gordon-Schrödinger equations as the nonrelativistic parameter epsilon approaches zero.","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Caoyi Liu, Yue Feng","submitted_at":"2026-05-13T03:15:39Z","abstract_excerpt":"We propose a novel and simplified multiscale time integrator Fourier pseudospectral (MTI-FP) method for the Klein-Gordon-Schr\\\"odinger (KGS) equations with a dimensionless parameter epsilon in (0,1], where epsilon is inversely proportional to the speed of light. The proposed MTI-FP method is rigorously proved to achieve uniform first-order accuracy in time in the nonrelativistic regime, i.e., as epsilon->0. In this regime, the solution of the KGS equations exhibits temporal oscillations with an O(epsilon^2)-wavelength, imposing stringent resolution requirements on classical numerical methods. "},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The MTI-FP method is rigorously proved to achieve uniform first-order accuracy in time in the nonrelativistic regime, i.e., as epsilon->0, with error bounds O(h^{m0-1} + tau^2/epsilon^2) and O(h^{m0-1} + epsilon^2) implying uniform O(tau) convergence.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The solution possesses sufficient regularity (m0 depending on that regularity) so that the frequency decomposition and simplified transmission conditions introduce no additional error that grows with 1/epsilon.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"The MTI-FP method achieves uniform first-order temporal accuracy for the KGS equations in the nonrelativistic regime via a frequency-based multiscale decomposition with simplified transmission conditions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The MTI-FP method achieves uniform first-order accuracy in time for the Klein-Gordon-Schrödinger equations as the nonrelativistic parameter epsilon approaches zero.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"7f0bc1a09f1ec0c7c96a35c3f8faccfac47eec2f5027b38557b3e985dc2d02ad"},"source":{"id":"2605.12936","kind":"arxiv","version":1},"verdict":{"id":"8852959e-7730-4e16-8284-80a994d36efc","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:52:26.385449Z","strongest_claim":"The MTI-FP method is rigorously proved to achieve uniform first-order accuracy in time in the nonrelativistic regime, i.e., as epsilon->0, with error bounds O(h^{m0-1} + tau^2/epsilon^2) and O(h^{m0-1} + epsilon^2) implying uniform O(tau) convergence.","one_line_summary":"The MTI-FP method achieves uniform first-order temporal accuracy for the KGS equations in the nonrelativistic regime via a frequency-based multiscale decomposition with simplified transmission conditions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The solution possesses sufficient regularity (m0 depending on that regularity) so that the frequency decomposition and simplified transmission conditions introduce no additional error that grows with 1/epsilon.","pith_extraction_headline":"The MTI-FP method achieves uniform first-order accuracy in time for the Klein-Gordon-Schrödinger equations as the nonrelativistic parameter epsilon approaches zero."},"references":{"count":43,"sample":[{"doi":"","year":2013,"title":"Optimal error estimates of ﬁ nite diﬀerence methods for the gross–pitaevskii equation with angular momentum rotation","work_id":"c6d15816-ca49-4ac0-893e-fbe9f33e259d","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"Uniform and optimal error es timates of an exponential wave integrator sine pseudospectral method for the nonlinear sc hr¨ odinger equation with wave oper- ator","work_id":"65b9b13c-4bad-45ff-ab08-518c548c4e0d","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"Uniformly a ccurate multiscale time inte- grators for highly oscillatory second order diﬀerential equ ations","work_id":"a940fa6a-f37b-4bd9-8651-a9b3207470a9","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"Optimal error bounds on the e xponential wave integrator for the nonlinear schr¨ odinger equation with low regularit y potential and nonlinearity","work_id":"401c5619-c936-4b14-af0f-1071dbfbcfae","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2007,"title":"Eﬃcient and accurate numerical me thods for the klein–gordon– schr¨ odinger equations.J","work_id":"630c5eea-ca80-42dc-9d72-b881df3baacd","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":43,"snapshot_sha256":"1ec286de7ba35591f59691945479c4221b6f457c66215979083e725def5c1d43","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"93ad4749ebd7c67d4c0b507b0610ce297f01bc08347facafd81179ebe7284256"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"8852959e-7730-4e16-8284-80a994d36efc"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:09:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AqHRv+BP6umx+x0JibhjB4JK0QpwRF4PJhEUHEDkG3mhNBHoLn/X8tUFCTO3tqi/1vgW40pDSIpNRtf1+3JxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:38:37.302958Z"},"content_sha256":"c3e1f8ad25f4a52a61ff5247e566f5d75eca3b6427bc1b9851d5bd0b50633436","schema_version":"1.0","event_id":"sha256:c3e1f8ad25f4a52a61ff5247e566f5d75eca3b6427bc1b9851d5bd0b50633436"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VXRFVTBFROYN3YMEAR6GBVAOEU/bundle.json","state_url":"https://pith.science/pith/VXRFVTBFROYN3YMEAR6GBVAOEU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VXRFVTBFROYN3YMEAR6GBVAOEU/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":"2026-06-01T04:38:37Z","links":{"resolver":"https://pith.science/pith/VXRFVTBFROYN3YMEAR6GBVAOEU","bundle":"https://pith.science/pith/VXRFVTBFROYN3YMEAR6GBVAOEU/bundle.json","state":"https://pith.science/pith/VXRFVTBFROYN3YMEAR6GBVAOEU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VXRFVTBFROYN3YMEAR6GBVAOEU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VXRFVTBFROYN3YMEAR6GBVAOEU","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":"23bba7692b28bf2974eb22db0f659bac2111ec1200061bd7a58ca4d3248453c9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-13T03:15:39Z","title_canon_sha256":"cdb4a632cf771d31e9885a63c6cc5249320f96be007d4b6c45f907f8ba75b753"},"schema_version":"1.0","source":{"id":"2605.12936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.12936","created_at":"2026-05-18T03:09:09Z"},{"alias_kind":"arxiv_version","alias_value":"2605.12936v1","created_at":"2026-05-18T03:09:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.12936","created_at":"2026-05-18T03:09:09Z"},{"alias_kind":"pith_short_12","alias_value":"VXRFVTBFROYN","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"VXRFVTBFROYN3YME","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"VXRFVTBF","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:c3e1f8ad25f4a52a61ff5247e566f5d75eca3b6427bc1b9851d5bd0b50633436","target":"graph","created_at":"2026-05-18T03:09:09Z","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 MTI-FP method is rigorously proved to achieve uniform first-order accuracy in time in the nonrelativistic regime, i.e., as epsilon->0, with error bounds O(h^{m0-1} + tau^2/epsilon^2) and O(h^{m0-1} + epsilon^2) implying uniform O(tau) convergence."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The solution possesses sufficient regularity (m0 depending on that regularity) so that the frequency decomposition and simplified transmission conditions introduce no additional error that grows with 1/epsilon."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"The MTI-FP method achieves uniform first-order temporal accuracy for the KGS equations in the nonrelativistic regime via a frequency-based multiscale decomposition with simplified transmission conditions."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"The MTI-FP method achieves uniform first-order accuracy in time for the Klein-Gordon-Schrödinger equations as the nonrelativistic parameter epsilon approaches zero."}],"snapshot_sha256":"7f0bc1a09f1ec0c7c96a35c3f8faccfac47eec2f5027b38557b3e985dc2d02ad"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"93ad4749ebd7c67d4c0b507b0610ce297f01bc08347facafd81179ebe7284256"},"paper":{"abstract_excerpt":"We propose a novel and simplified multiscale time integrator Fourier pseudospectral (MTI-FP) method for the Klein-Gordon-Schr\\\"odinger (KGS) equations with a dimensionless parameter epsilon in (0,1], where epsilon is inversely proportional to the speed of light. The proposed MTI-FP method is rigorously proved to achieve uniform first-order accuracy in time in the nonrelativistic regime, i.e., as epsilon->0. In this regime, the solution of the KGS equations exhibits temporal oscillations with an O(epsilon^2)-wavelength, imposing stringent resolution requirements on classical numerical methods. ","authors_text":"Caoyi Liu, Yue Feng","cross_cats":["cs.NA"],"headline":"The MTI-FP method achieves uniform first-order accuracy in time for the Klein-Gordon-Schrödinger equations as the nonrelativistic parameter epsilon approaches zero.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-13T03:15:39Z","title":"A Uniformly Accurate Multiscale Time Integrator for the Klein-Gordon-Schr\\\"odinger Equations in the Nonrelativistic Regime via Simplified Transmission Conditions"},"references":{"count":43,"internal_anchors":0,"resolved_work":43,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Optimal error estimates of ﬁ nite diﬀerence methods for the gross–pitaevskii equation with angular momentum rotation","work_id":"c6d15816-ca49-4ac0-893e-fbe9f33e259d","year":2013},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Uniform and optimal error es timates of an exponential wave integrator sine pseudospectral method for the nonlinear sc hr¨ odinger equation with wave oper- ator","work_id":"65b9b13c-4bad-45ff-ab08-518c548c4e0d","year":2014},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Uniformly a ccurate multiscale time inte- grators for highly oscillatory second order diﬀerential equ ations","work_id":"a940fa6a-f37b-4bd9-8651-a9b3207470a9","year":2014},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Optimal error bounds on the e xponential wave integrator for the nonlinear schr¨ odinger equation with low regularit y potential and nonlinearity","work_id":"401c5619-c936-4b14-af0f-1071dbfbcfae","year":2024},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Eﬃcient and accurate numerical me thods for the klein–gordon– schr¨ odinger equations.J","work_id":"630c5eea-ca80-42dc-9d72-b881df3baacd","year":2007}],"snapshot_sha256":"1ec286de7ba35591f59691945479c4221b6f457c66215979083e725def5c1d43"},"source":{"id":"2605.12936","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T18:52:26.385449Z","id":"8852959e-7730-4e16-8284-80a994d36efc","model_set":{"reader":"grok-4.3"},"one_line_summary":"The MTI-FP method achieves uniform first-order temporal accuracy for the KGS equations in the nonrelativistic regime via a frequency-based multiscale decomposition with simplified transmission conditions.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"The MTI-FP method achieves uniform first-order accuracy in time for the Klein-Gordon-Schrödinger equations as the nonrelativistic parameter epsilon approaches zero.","strongest_claim":"The MTI-FP method is rigorously proved to achieve uniform first-order accuracy in time in the nonrelativistic regime, i.e., as epsilon->0, with error bounds O(h^{m0-1} + tau^2/epsilon^2) and O(h^{m0-1} + epsilon^2) implying uniform O(tau) convergence.","weakest_assumption":"The solution possesses sufficient regularity (m0 depending on that regularity) so that the frequency decomposition and simplified transmission conditions introduce no additional error that grows with 1/epsilon."}},"verdict_id":"8852959e-7730-4e16-8284-80a994d36efc"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5d8bf0cf6144384f3023883f7fa232a3869158a86faa452ace817c4ae0a46a5d","target":"record","created_at":"2026-05-18T03:09:09Z","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":"23bba7692b28bf2974eb22db0f659bac2111ec1200061bd7a58ca4d3248453c9","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-05-13T03:15:39Z","title_canon_sha256":"cdb4a632cf771d31e9885a63c6cc5249320f96be007d4b6c45f907f8ba75b753"},"schema_version":"1.0","source":{"id":"2605.12936","kind":"arxiv","version":1}},"canonical_sha256":"ade25acc258bb0dde184047c60d40e2511e941682455b446dd3e811682c0da4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ade25acc258bb0dde184047c60d40e2511e941682455b446dd3e811682c0da4c","first_computed_at":"2026-05-18T03:09:09.832354Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:09:09.832354Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"szFN/pjzOM7pdv/ov7NGmUGZ8LyqszSslwBV08VyfkU7LTP5tO1sCORG9KdwfrlU2i+7cDQfGi/nAdjsuf1BAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:09:09.833173Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.12936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d8bf0cf6144384f3023883f7fa232a3869158a86faa452ace817c4ae0a46a5d","sha256:c3e1f8ad25f4a52a61ff5247e566f5d75eca3b6427bc1b9851d5bd0b50633436"],"state_sha256":"444c70047003f1147093c9c2fedf2b4f16c3050abf76727454fda8a7c8fa74af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2/XIjMxiygiVhCI3NhXDMBm6SlLApe8X0immu6rjj3VweQ6FS0GFmO+NKYy0kRS9rTD0JVY8Nb8DrNeIQG6MBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:38:37.305635Z","bundle_sha256":"2f02425a915fafe564e1a3b6ed134afb62983af880620ba5a785df071ebe9b78"}}