{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:M4IX4AAQCFQVNZEK4NN5QNLNH5","short_pith_number":"pith:M4IX4AAQ","canonical_record":{"source":{"id":"2605.15716","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-05-15T08:07:32Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"185bea2800b00c51885fdf8c7859f659975b8d5ee70a9f1aaed8d49fb8fde11b","abstract_canon_sha256":"cdcd4e3704537518b477bd95f084e53394106bc85e8c59dc11521c02b76a1bad"},"schema_version":"1.0"},"canonical_sha256":"67117e0010116156e48ae35bd8356d3f6befc912ae31a7727770a0164b37403b","source":{"kind":"arxiv","id":"2605.15716","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15716","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15716v1","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15716","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"M4IX4AAQCFQV","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"pith_short_16","alias_value":"M4IX4AAQCFQVNZEK","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"pith_short_8","alias_value":"M4IX4AAQ","created_at":"2026-05-20T00:01:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:M4IX4AAQCFQVNZEK4NN5QNLNH5","target":"record","payload":{"canonical_record":{"source":{"id":"2605.15716","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-05-15T08:07:32Z","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"title_canon_sha256":"185bea2800b00c51885fdf8c7859f659975b8d5ee70a9f1aaed8d49fb8fde11b","abstract_canon_sha256":"cdcd4e3704537518b477bd95f084e53394106bc85e8c59dc11521c02b76a1bad"},"schema_version":"1.0"},"canonical_sha256":"67117e0010116156e48ae35bd8356d3f6befc912ae31a7727770a0164b37403b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:01:14.374044Z","signature_b64":"PTrwQOKsYi9CDMNV0ZEaoQtIsvQSyEEte1FXa6UOqL/j7QvX3kRV5X1CGDwCsE3sOUyc+72WfIurypazI1tIBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"67117e0010116156e48ae35bd8356d3f6befc912ae31a7727770a0164b37403b","last_reissued_at":"2026-05-20T00:01:14.373204Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:01:14.373204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.15716","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":"2026-05-20T00:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QmFZTwpyv60HvzZU10K0DePn6vXItV+fDOE4lNCtyzscyrv43fB08yOc88XCLdLKx1m/aoC6UCWP+UQ3y+OrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:26:17.632150Z"},"content_sha256":"e0d3e985a2c13c0087cff54ace6644f041393f322ec0a1be1c3e569721d7a900","schema_version":"1.0","event_id":"sha256:e0d3e985a2c13c0087cff54ace6644f041393f322ec0a1be1c3e569721d7a900"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:M4IX4AAQCFQVNZEK4NN5QNLNH5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlocal Optical Response and Surface Susceptibilities: A Systematic Derivation via Spatial Moment Expansion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order.","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"Fr\\'ed\\'eric Zolla","submitted_at":"2026-05-15T08:07:32Z","abstract_excerpt":"We present a systematic theory connecting the nonlocal response kernel of a homogeneous medium to its effective surface susceptibilities for an arbitrary curved interface. Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility $\\chi^s$, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization o"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility χ^s, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization of the Feibelman d-parameters to interfaces of arbitrary curvature, and the curvature corrections, proportional to the geometric invariants H (mean curvature) and K (Gaussian curvature), are derived explicitly.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The distributional thin-layer limit applied after the spatial moment expansion is sufficient to capture the leading-order interfacial response, with higher-order contributions negligible for the condensation to a single scalar χ^s and the explicit curvature corrections.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Nonlocal response kernels for homogeneous media condense at leading order into a single scalar surface susceptibility χ^s (equal for tangential and normal fields) with explicit curvature corrections proportional to mean curvature H and Gaussian curvature K.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"814e4406c392152285736c8d1c5ffdf675fc661ca3a3831303a487979e6ebc9f"},"source":{"id":"2605.15716","kind":"arxiv","version":1},"verdict":{"id":"278ac7c0-7c5d-49d7-859d-1c15e70a01a4","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T19:33:20.783539Z","strongest_claim":"Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility χ^s, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization of the Feibelman d-parameters to interfaces of arbitrary curvature, and the curvature corrections, proportional to the geometric invariants H (mean curvature) and K (Gaussian curvature), are derived explicitly.","one_line_summary":"Nonlocal response kernels for homogeneous media condense at leading order into a single scalar surface susceptibility χ^s (equal for tangential and normal fields) with explicit curvature corrections proportional to mean curvature H and Gaussian curvature K.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The distributional thin-layer limit applied after the spatial moment expansion is sufficient to capture the leading-order interfacial response, with higher-order contributions negligible for the condensation to a single scalar χ^s and the explicit curvature corrections.","pith_extraction_headline":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15716/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T20:01:19.210968Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T19:41:02.770091Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T19:33:26.970610Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T17:21:56.013961Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"b7eb2e07a34edb9a8f2a256b9d9f8b9aefbdb4892442bd4b954ae1bee38f83f2"},"references":{"count":2,"sample":[{"doi":"10.1017/cbo9781139644181","year":1999,"title":"Electronic excitations: density-functional versus many-body green’s-function approaches","work_id":"ea3da009-30ec-4a7f-91d5-117c64548e74","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1007/978-3-0348-7966-8","year":2004,"title":"On the vibrations of the electronic plasma","work_id":"5f845525-2449-4f92-ac78-a7dca49daaac","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":2,"snapshot_sha256":"0b0c046901db4ddb9a892c7fe7169dc11754d76b6601f6893573b6cdbc93f1bc","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"edea9e5ff7af4670c0f4472c7a60bf3da09c31f47043e583f1b17fbfd4dbc80a"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"278ac7c0-7c5d-49d7-859d-1c15e70a01a4"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:01:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9lzAYoZYvXqdZhkzG7QyJSS+Zio8U3R12zraX19Dc5I7eW0B/PWe4P4ylyIZUe1OF/+6XXNAe7l+j9j5Y8c1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T21:26:17.633269Z"},"content_sha256":"0d57093aa280e9531d9d00e83a041ffa2e787b23d59e74f384f9487d07d43a05","schema_version":"1.0","event_id":"sha256:0d57093aa280e9531d9d00e83a041ffa2e787b23d59e74f384f9487d07d43a05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/bundle.json","state_url":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/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":"2026-06-01T21:26:17Z","links":{"resolver":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5","bundle":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/bundle.json","state":"https://pith.science/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M4IX4AAQCFQVNZEK4NN5QNLNH5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:M4IX4AAQCFQVNZEK4NN5QNLNH5","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":"cdcd4e3704537518b477bd95f084e53394106bc85e8c59dc11521c02b76a1bad","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-05-15T08:07:32Z","title_canon_sha256":"185bea2800b00c51885fdf8c7859f659975b8d5ee70a9f1aaed8d49fb8fde11b"},"schema_version":"1.0","source":{"id":"2605.15716","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15716","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15716v1","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15716","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"pith_short_12","alias_value":"M4IX4AAQCFQV","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"pith_short_16","alias_value":"M4IX4AAQCFQVNZEK","created_at":"2026-05-20T00:01:14Z"},{"alias_kind":"pith_short_8","alias_value":"M4IX4AAQ","created_at":"2026-05-20T00:01:14Z"}],"graph_snapshots":[{"event_id":"sha256:0d57093aa280e9531d9d00e83a041ffa2e787b23d59e74f384f9487d07d43a05","target":"graph","created_at":"2026-05-20T00:01:14Z","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":"Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility χ^s, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization of the Feibelman d-parameters to interfaces of arbitrary curvature, and the curvature corrections, proportional to the geometric invariants H (mean curvature) and K (Gaussian curvature), are derived explicitly."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The distributional thin-layer limit applied after the spatial moment expansion is sufficient to capture the leading-order interfacial response, with higher-order contributions negligible for the condensation to a single scalar χ^s and the explicit curvature corrections."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Nonlocal response kernels for homogeneous media condense at leading order into a single scalar surface susceptibility χ^s (equal for tangential and normal fields) with explicit curvature corrections proportional to mean curvature H and Gaussian curvature K."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order."}],"snapshot_sha256":"814e4406c392152285736c8d1c5ffdf675fc661ca3a3831303a487979e6ebc9f"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"edea9e5ff7af4670c0f4472c7a60bf3da09c31f47043e583f1b17fbfd4dbc80a"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T20:01:19.210968Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T19:41:02.770091Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T19:33:26.970610Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T17:21:56.013961Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.15716/integrity.json","findings":[],"snapshot_sha256":"b7eb2e07a34edb9a8f2a256b9d9f8b9aefbdb4892442bd4b954ae1bee38f83f2","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a systematic theory connecting the nonlocal response kernel of a homogeneous medium to its effective surface susceptibilities for an arbitrary curved interface. Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility $\\chi^s$, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization o","authors_text":"Fr\\'ed\\'eric Zolla","cross_cats":["cond-mat.mes-hall","math-ph","math.MP"],"headline":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-05-15T08:07:32Z","title":"Nonlocal Optical Response and Surface Susceptibilities: A Systematic Derivation via Spatial Moment Expansion"},"references":{"count":2,"internal_anchors":0,"resolved_work":2,"sample":[{"cited_arxiv_id":"","doi":"10.1017/cbo9781139644181","is_internal_anchor":false,"ref_index":1,"title":"Electronic excitations: density-functional versus many-body green’s-function approaches","work_id":"ea3da009-30ec-4a7f-91d5-117c64548e74","year":1999},{"cited_arxiv_id":"","doi":"10.1007/978-3-0348-7966-8","is_internal_anchor":false,"ref_index":2,"title":"On the vibrations of the electronic plasma","work_id":"5f845525-2449-4f92-ac78-a7dca49daaac","year":2004}],"snapshot_sha256":"0b0c046901db4ddb9a892c7fe7169dc11754d76b6601f6893573b6cdbc93f1bc"},"source":{"id":"2605.15716","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T19:33:20.783539Z","id":"278ac7c0-7c5d-49d7-859d-1c15e70a01a4","model_set":{"reader":"grok-4.3"},"one_line_summary":"Nonlocal response kernels for homogeneous media condense at leading order into a single scalar surface susceptibility χ^s (equal for tangential and normal fields) with explicit curvature corrections proportional to mean curvature H and Gaussian curvature K.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Nonlocal optical response at curved interfaces condenses into a single surface susceptibility scalar at leading order.","strongest_claim":"Starting from the most general tensorial nonlocal constitutive relation and combining a spatial moment expansion with a distributional thin-layer limit, we show that the full complexity of the interfacial response condenses, at leading order, into a single scalar: the surface susceptibility χ^s, equal for the tangential and normal components of the electric field. These quantities provide a constructive generalization of the Feibelman d-parameters to interfaces of arbitrary curvature, and the curvature corrections, proportional to the geometric invariants H (mean curvature) and K (Gaussian curvature), are derived explicitly.","weakest_assumption":"The distributional thin-layer limit applied after the spatial moment expansion is sufficient to capture the leading-order interfacial response, with higher-order contributions negligible for the condensation to a single scalar χ^s and the explicit curvature corrections."}},"verdict_id":"278ac7c0-7c5d-49d7-859d-1c15e70a01a4"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:e0d3e985a2c13c0087cff54ace6644f041393f322ec0a1be1c3e569721d7a900","target":"record","created_at":"2026-05-20T00:01:14Z","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":"cdcd4e3704537518b477bd95f084e53394106bc85e8c59dc11521c02b76a1bad","cross_cats_sorted":["cond-mat.mes-hall","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.optics","submitted_at":"2026-05-15T08:07:32Z","title_canon_sha256":"185bea2800b00c51885fdf8c7859f659975b8d5ee70a9f1aaed8d49fb8fde11b"},"schema_version":"1.0","source":{"id":"2605.15716","kind":"arxiv","version":1}},"canonical_sha256":"67117e0010116156e48ae35bd8356d3f6befc912ae31a7727770a0164b37403b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"67117e0010116156e48ae35bd8356d3f6befc912ae31a7727770a0164b37403b","first_computed_at":"2026-05-20T00:01:14.373204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:14.373204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PTrwQOKsYi9CDMNV0ZEaoQtIsvQSyEEte1FXa6UOqL/j7QvX3kRV5X1CGDwCsE3sOUyc+72WfIurypazI1tIBQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:14.374044Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15716","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0d3e985a2c13c0087cff54ace6644f041393f322ec0a1be1c3e569721d7a900","sha256:0d57093aa280e9531d9d00e83a041ffa2e787b23d59e74f384f9487d07d43a05"],"state_sha256":"e7c865f13878d34c6a007f92ad070397d486f92b31c9d0a2a2ba2eb742f50bb8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L0K8eVV8nGm7RWKZJ1qgx+Fg9/jgkKaJp2ey7NwtSQcV/l0B7da3iwlTS57SYP0NonWcS+V13PidWwChl7cHDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T21:26:17.637231Z","bundle_sha256":"3a31d02e472dd4b9e127c37587831c0c24e53fb00f2ee93fc0f617678eb5939d"}}