{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VN6ETXKWYVOTUMEFZSYOXLPOLR","short_pith_number":"pith:VN6ETXKW","canonical_record":{"source":{"id":"2605.15643","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-15T05:48:32Z","cross_cats_sorted":[],"title_canon_sha256":"59abc1edd24177f7eccf3f6cb5a8a44470cb6cdaf8c94526f9fc3502b895b9f7","abstract_canon_sha256":"8559ff454d414588448b3a18f06d7761b805268ed85746ae030625fc70ad23f4"},"schema_version":"1.0"},"canonical_sha256":"ab7c49dd56c55d3a3085ccb0ebadee5c5b76eaa802ef56a48618f850091a182b","source":{"kind":"arxiv","id":"2605.15643","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15643","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15643v1","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15643","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"VN6ETXKWYVOT","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"pith_short_16","alias_value":"VN6ETXKWYVOTUMEF","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"pith_short_8","alias_value":"VN6ETXKW","created_at":"2026-05-20T00:01:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VN6ETXKWYVOTUMEFZSYOXLPOLR","target":"record","payload":{"canonical_record":{"source":{"id":"2605.15643","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-15T05:48:32Z","cross_cats_sorted":[],"title_canon_sha256":"59abc1edd24177f7eccf3f6cb5a8a44470cb6cdaf8c94526f9fc3502b895b9f7","abstract_canon_sha256":"8559ff454d414588448b3a18f06d7761b805268ed85746ae030625fc70ad23f4"},"schema_version":"1.0"},"canonical_sha256":"ab7c49dd56c55d3a3085ccb0ebadee5c5b76eaa802ef56a48618f850091a182b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:01:09.707694Z","signature_b64":"yGvcsBua2BbHOCzozSfzXljPJPHWTWHIJN69F5id0q6P4KF+V2hNEBoI3SwmFtHQby0Zz2l2wYsLw+U4DE6QAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab7c49dd56c55d3a3085ccb0ebadee5c5b76eaa802ef56a48618f850091a182b","last_reissued_at":"2026-05-20T00:01:09.706778Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:01:09.706778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.15643","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":"2026-05-20T00:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1iB54JUji3EVXI1EsJQNZAUMHG7zJi9i1VBhjgX4D67ItaSlx5T/ntrVRJkhqopxqSZKoTYIhQXbxoa2nsGhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:15:15.020059Z"},"content_sha256":"7c9acdb10556626fe9527d5db8f2b95fe3b2dbe11b21d315daba5d843e3fb396","schema_version":"1.0","event_id":"sha256:7c9acdb10556626fe9527d5db8f2b95fe3b2dbe11b21d315daba5d843e3fb396"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VN6ETXKWYVOTUMEFZSYOXLPOLR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A vector field induced de Rham-Hodge theory on manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Any vector field on a manifold induces its own de Rham-Hodge theory by defining a modified inner product on forms.","cross_cats":[],"primary_cat":"math.DG","authors_text":"Zhe Su","submitted_at":"2026-05-15T05:48:32Z","abstract_excerpt":"We introduce a de Rham-Hodge framework induced by a vector field on a compact, oriented smooth manifold. By utilizing a vector field induced isomorphism on differential forms, we define a vector field induced Hodge $L^2$-inner product, codifferential, and Hodge Laplacian on differential forms. We then establish the resulting de Rham-Hodge theory for closed manifolds and extend it to manifolds with boundary by imposing certain vector field induced boundary conditions. We also include some remarks on this resulting framework."},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We then establish the resulting de Rham-Hodge theory for closed manifolds and extend it to manifolds with boundary by imposing certain vector field induced boundary conditions.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"A given vector field on the manifold induces an isomorphism on the space of differential forms that can be used to define a new L2 inner product and the associated operators.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A vector field on a compact oriented manifold is used to induce an isomorphism on forms, from which a new L2 inner product, codifferential, and Hodge Laplacian are defined, yielding a de Rham-Hodge theory on closed manifolds and with boundary conditions on manifolds with boundary.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Any vector field on a manifold induces its own de Rham-Hodge theory by defining a modified inner product on forms.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"7953a66626c0c4147f1b84472bcbaf72ec7d84be37dfa0ff6a474f1c968d222f"},"source":{"id":"2605.15643","kind":"arxiv","version":1},"verdict":{"id":"9b27d70f-d8a0-41f4-8c7b-3665af080e9a","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T19:47:18.056683Z","strongest_claim":"We then establish the resulting de Rham-Hodge theory for closed manifolds and extend it to manifolds with boundary by imposing certain vector field induced boundary conditions.","one_line_summary":"A vector field on a compact oriented manifold is used to induce an isomorphism on forms, from which a new L2 inner product, codifferential, and Hodge Laplacian are defined, yielding a de Rham-Hodge theory on closed manifolds and with boundary conditions on manifolds with boundary.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"A given vector field on the manifold induces an isomorphism on the space of differential forms that can be used to define a new L2 inner product and the associated operators.","pith_extraction_headline":"Any vector field on a manifold induces its own de Rham-Hodge theory by defining a modified inner product on forms."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15643/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T20:01:19.259061Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T20:01:16.824530Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T19:33:35.669656Z","status":"skipped","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T17:21:56.095013Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"b5407a9a91f96843e377baab1b71e11d6402b78fa4a12eab81457ce57c7f4bf6"},"references":{"count":23,"sample":[{"doi":"","year":2012,"title":"Differential Geometry and its Applications30(2), 179–194 (2012)","work_id":"a9af8825-c583-4928-858c-58a9b429ed53","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1988,"title":"Publications Math´ ematiques de l’IH´ES68, 175–186 (1988)","work_id":"8824577e-cb1f-4c74-b13a-975464e38e8c","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"ACM Transactions on Graphics (TOG)22(1), 4–32 (2003)","work_id":"c1c5fb2a-8931-415a-b61e-5ce1a96ea8ae","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1983,"title":"In: S´ eminaire de Probabilit´ es XIX 1983/84: Proceedings, pp","work_id":"63a79aac-6c2b-4808-9d79-8f2b761dc3d7","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2024,"title":"Results in Mathematics79(5), 187 (2024)","work_id":"911a91ce-e86b-4dba-968f-28c455795268","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":23,"snapshot_sha256":"1f60106ac7aa5158c2b93eb73388c063e39c457386c7c3072bb2ce9b7a6cb6c6","internal_anchors":1},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9ee391b2802438e638eceb97d535f7e5470ff6a64c6e6507552128a539dc6ecc"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"9b27d70f-d8a0-41f4-8c7b-3665af080e9a"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:01:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mcf8rPZ9aU9juDT7SJNXR135YbQtMqOH1cld9UkjSulyMLL3+h24xplN/12V4nNs1Cju9obtu8UxtU87jRPZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:15:15.020789Z"},"content_sha256":"25568cdefd1767f0042b312f4a74b13044d7a6a872ea9e749e01b1598acc6fd9","schema_version":"1.0","event_id":"sha256:25568cdefd1767f0042b312f4a74b13044d7a6a872ea9e749e01b1598acc6fd9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VN6ETXKWYVOTUMEFZSYOXLPOLR/bundle.json","state_url":"https://pith.science/pith/VN6ETXKWYVOTUMEFZSYOXLPOLR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VN6ETXKWYVOTUMEFZSYOXLPOLR/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":"2026-05-20T11:15:15Z","links":{"resolver":"https://pith.science/pith/VN6ETXKWYVOTUMEFZSYOXLPOLR","bundle":"https://pith.science/pith/VN6ETXKWYVOTUMEFZSYOXLPOLR/bundle.json","state":"https://pith.science/pith/VN6ETXKWYVOTUMEFZSYOXLPOLR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VN6ETXKWYVOTUMEFZSYOXLPOLR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VN6ETXKWYVOTUMEFZSYOXLPOLR","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":"8559ff454d414588448b3a18f06d7761b805268ed85746ae030625fc70ad23f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-15T05:48:32Z","title_canon_sha256":"59abc1edd24177f7eccf3f6cb5a8a44470cb6cdaf8c94526f9fc3502b895b9f7"},"schema_version":"1.0","source":{"id":"2605.15643","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.15643","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"arxiv_version","alias_value":"2605.15643v1","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.15643","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"pith_short_12","alias_value":"VN6ETXKWYVOT","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"pith_short_16","alias_value":"VN6ETXKWYVOTUMEF","created_at":"2026-05-20T00:01:09Z"},{"alias_kind":"pith_short_8","alias_value":"VN6ETXKW","created_at":"2026-05-20T00:01:09Z"}],"graph_snapshots":[{"event_id":"sha256:25568cdefd1767f0042b312f4a74b13044d7a6a872ea9e749e01b1598acc6fd9","target":"graph","created_at":"2026-05-20T00:01:09Z","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":"We then establish the resulting de Rham-Hodge theory for closed manifolds and extend it to manifolds with boundary by imposing certain vector field induced boundary conditions."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"A given vector field on the manifold induces an isomorphism on the space of differential forms that can be used to define a new L2 inner product and the associated operators."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A vector field on a compact oriented manifold is used to induce an isomorphism on forms, from which a new L2 inner product, codifferential, and Hodge Laplacian are defined, yielding a de Rham-Hodge theory on closed manifolds and with boundary conditions on manifolds with boundary."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Any vector field on a manifold induces its own de Rham-Hodge theory by defining a modified inner product on forms."}],"snapshot_sha256":"7953a66626c0c4147f1b84472bcbaf72ec7d84be37dfa0ff6a474f1c968d222f"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9ee391b2802438e638eceb97d535f7e5470ff6a64c6e6507552128a539dc6ecc"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T20:01:19.259061Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T20:01:16.824530Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T19:33:35.669656Z","status":"skipped","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T17:21:56.095013Z","status":"completed","version":"1.0.0"}],"endpoint":"/pith/2605.15643/integrity.json","findings":[],"snapshot_sha256":"b5407a9a91f96843e377baab1b71e11d6402b78fa4a12eab81457ce57c7f4bf6","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce a de Rham-Hodge framework induced by a vector field on a compact, oriented smooth manifold. By utilizing a vector field induced isomorphism on differential forms, we define a vector field induced Hodge $L^2$-inner product, codifferential, and Hodge Laplacian on differential forms. We then establish the resulting de Rham-Hodge theory for closed manifolds and extend it to manifolds with boundary by imposing certain vector field induced boundary conditions. We also include some remarks on this resulting framework.","authors_text":"Zhe Su","cross_cats":[],"headline":"Any vector field on a manifold induces its own de Rham-Hodge theory by defining a modified inner product on forms.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-15T05:48:32Z","title":"A vector field induced de Rham-Hodge theory on manifolds"},"references":{"count":23,"internal_anchors":1,"resolved_work":23,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Differential Geometry and its Applications30(2), 179–194 (2012)","work_id":"a9af8825-c583-4928-858c-58a9b429ed53","year":2012},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Publications Math´ ematiques de l’IH´ES68, 175–186 (1988)","work_id":"8824577e-cb1f-4c74-b13a-975464e38e8c","year":1988},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"ACM Transactions on Graphics (TOG)22(1), 4–32 (2003)","work_id":"c1c5fb2a-8931-415a-b61e-5ce1a96ea8ae","year":2003},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"In: S´ eminaire de Probabilit´ es XIX 1983/84: Proceedings, pp","work_id":"63a79aac-6c2b-4808-9d79-8f2b761dc3d7","year":1983},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Results in Mathematics79(5), 187 (2024)","work_id":"911a91ce-e86b-4dba-968f-28c455795268","year":2024}],"snapshot_sha256":"1f60106ac7aa5158c2b93eb73388c063e39c457386c7c3072bb2ce9b7a6cb6c6"},"source":{"id":"2605.15643","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T19:47:18.056683Z","id":"9b27d70f-d8a0-41f4-8c7b-3665af080e9a","model_set":{"reader":"grok-4.3"},"one_line_summary":"A vector field on a compact oriented manifold is used to induce an isomorphism on forms, from which a new L2 inner product, codifferential, and Hodge Laplacian are defined, yielding a de Rham-Hodge theory on closed manifolds and with boundary conditions on manifolds with boundary.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Any vector field on a manifold induces its own de Rham-Hodge theory by defining a modified inner product on forms.","strongest_claim":"We then establish the resulting de Rham-Hodge theory for closed manifolds and extend it to manifolds with boundary by imposing certain vector field induced boundary conditions.","weakest_assumption":"A given vector field on the manifold induces an isomorphism on the space of differential forms that can be used to define a new L2 inner product and the associated operators."}},"verdict_id":"9b27d70f-d8a0-41f4-8c7b-3665af080e9a"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7c9acdb10556626fe9527d5db8f2b95fe3b2dbe11b21d315daba5d843e3fb396","target":"record","created_at":"2026-05-20T00:01:09Z","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":"8559ff454d414588448b3a18f06d7761b805268ed85746ae030625fc70ad23f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-15T05:48:32Z","title_canon_sha256":"59abc1edd24177f7eccf3f6cb5a8a44470cb6cdaf8c94526f9fc3502b895b9f7"},"schema_version":"1.0","source":{"id":"2605.15643","kind":"arxiv","version":1}},"canonical_sha256":"ab7c49dd56c55d3a3085ccb0ebadee5c5b76eaa802ef56a48618f850091a182b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab7c49dd56c55d3a3085ccb0ebadee5c5b76eaa802ef56a48618f850091a182b","first_computed_at":"2026-05-20T00:01:09.706778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:01:09.706778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yGvcsBua2BbHOCzozSfzXljPJPHWTWHIJN69F5id0q6P4KF+V2hNEBoI3SwmFtHQby0Zz2l2wYsLw+U4DE6QAA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:01:09.707694Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.15643","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c9acdb10556626fe9527d5db8f2b95fe3b2dbe11b21d315daba5d843e3fb396","sha256:25568cdefd1767f0042b312f4a74b13044d7a6a872ea9e749e01b1598acc6fd9"],"state_sha256":"2c7b2786c4a98f349d704f16a73ca476c4ebf3f08a61eb6d34ffb42ba5b45d3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MD6PzN+JP557UOz2KBiAfzMMN/gXeRCNDFwvQv9iUVdubcR+TF1syrazEIG+qVtTwPh8bnorzQgmJtdTi6WSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T11:15:15.023560Z","bundle_sha256":"6af4c0034e2b9f94a01d72ab23286d8108148ea62f036b92e4f239f87ec36624"}}