{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SEIRHAKPEIOLXFELVGQN4YRX7E","short_pith_number":"pith:SEIRHAKP","canonical_record":{"source":{"id":"1311.2622","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-11T21:45:29Z","cross_cats_sorted":[],"title_canon_sha256":"6c46c2820197cd5d69ccaa94626e29d1e82febf06fab07f7313a87087ad77347","abstract_canon_sha256":"904d0a9276da743c580a90af7732eb5a2e63f878de666852d2dd9083af312d40"},"schema_version":"1.0"},"canonical_sha256":"911113814f221cbb948ba9a0de6237f90e1e20491ef74ef40adf4806e7cc93fb","source":{"kind":"arxiv","id":"1311.2622","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2622","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2622v1","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2622","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"SEIRHAKPEIOL","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SEIRHAKPEIOLXFEL","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SEIRHAKP","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SEIRHAKPEIOLXFELVGQN4YRX7E","target":"record","payload":{"canonical_record":{"source":{"id":"1311.2622","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-11T21:45:29Z","cross_cats_sorted":[],"title_canon_sha256":"6c46c2820197cd5d69ccaa94626e29d1e82febf06fab07f7313a87087ad77347","abstract_canon_sha256":"904d0a9276da743c580a90af7732eb5a2e63f878de666852d2dd9083af312d40"},"schema_version":"1.0"},"canonical_sha256":"911113814f221cbb948ba9a0de6237f90e1e20491ef74ef40adf4806e7cc93fb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:07:22.338490Z","signature_b64":"a5Ld+aqqR00ppNGkVgM8WA/HkwpgeAsle9uBXjrKRvnckhwXhlmR//UfJ6ZgBtuAIVGe6Jj30jKnNOUnAvsWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"911113814f221cbb948ba9a0de6237f90e1e20491ef74ef40adf4806e7cc93fb","last_reissued_at":"2026-05-18T03:07:22.337746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:07:22.337746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.2622","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":"2026-05-18T03:07:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tsyfUsZ05GaP5qVNaPcza66c4GEOhsVhSBlyhvGMaN9svXUEQYKg9RAG8XLw3usHpxD2iCjBcnOedsngnN9ADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:31:24.244622Z"},"content_sha256":"6d21d601e499661f79d95f044355f07c05feacebf4019c9fbdc5f33f61d5ab7e","schema_version":"1.0","event_id":"sha256:6d21d601e499661f79d95f044355f07c05feacebf4019c9fbdc5f33f61d5ab7e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SEIRHAKPEIOLXFELVGQN4YRX7E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Universal curvature identities and Euler Lagrange Formulas for Kaehler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"J.H. Park, K. Sekigawa, P. Gilkey","submitted_at":"2013-11-11T21:45:29Z","abstract_excerpt":"We relate certain universal curvature identities for Kaehler manifolds to the Euler-Lagrange equations of the scalar invariants which are defined by pairing characteristic forms with powers of the Kaehler form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2622","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","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":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:07:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YowhCO3ZcnB6P9NIvBEL92Inj33JF5W0PILwZcG7AKuXQMpueUr1pig1Hqve3DNaDVyTi8MndpTebVGhzIuTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:31:24.245425Z"},"content_sha256":"4b556bbcb792d5483aabe5800877c44341a5bc876450566307d081d5b8eaf3ab","schema_version":"1.0","event_id":"sha256:4b556bbcb792d5483aabe5800877c44341a5bc876450566307d081d5b8eaf3ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEIRHAKPEIOLXFELVGQN4YRX7E/bundle.json","state_url":"https://pith.science/pith/SEIRHAKPEIOLXFELVGQN4YRX7E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEIRHAKPEIOLXFELVGQN4YRX7E/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":"2026-05-30T23:31:24Z","links":{"resolver":"https://pith.science/pith/SEIRHAKPEIOLXFELVGQN4YRX7E","bundle":"https://pith.science/pith/SEIRHAKPEIOLXFELVGQN4YRX7E/bundle.json","state":"https://pith.science/pith/SEIRHAKPEIOLXFELVGQN4YRX7E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEIRHAKPEIOLXFELVGQN4YRX7E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SEIRHAKPEIOLXFELVGQN4YRX7E","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":"904d0a9276da743c580a90af7732eb5a2e63f878de666852d2dd9083af312d40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-11T21:45:29Z","title_canon_sha256":"6c46c2820197cd5d69ccaa94626e29d1e82febf06fab07f7313a87087ad77347"},"schema_version":"1.0","source":{"id":"1311.2622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.2622","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"arxiv_version","alias_value":"1311.2622v1","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.2622","created_at":"2026-05-18T03:07:22Z"},{"alias_kind":"pith_short_12","alias_value":"SEIRHAKPEIOL","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SEIRHAKPEIOLXFEL","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SEIRHAKP","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:4b556bbcb792d5483aabe5800877c44341a5bc876450566307d081d5b8eaf3ab","target":"graph","created_at":"2026-05-18T03:07:22Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We relate certain universal curvature identities for Kaehler manifolds to the Euler-Lagrange equations of the scalar invariants which are defined by pairing characteristic forms with powers of the Kaehler form.","authors_text":"J.H. Park, K. Sekigawa, P. Gilkey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-11T21:45:29Z","title":"Universal curvature identities and Euler Lagrange Formulas for Kaehler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.2622","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6d21d601e499661f79d95f044355f07c05feacebf4019c9fbdc5f33f61d5ab7e","target":"record","created_at":"2026-05-18T03:07:22Z","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":"904d0a9276da743c580a90af7732eb5a2e63f878de666852d2dd9083af312d40","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-11-11T21:45:29Z","title_canon_sha256":"6c46c2820197cd5d69ccaa94626e29d1e82febf06fab07f7313a87087ad77347"},"schema_version":"1.0","source":{"id":"1311.2622","kind":"arxiv","version":1}},"canonical_sha256":"911113814f221cbb948ba9a0de6237f90e1e20491ef74ef40adf4806e7cc93fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"911113814f221cbb948ba9a0de6237f90e1e20491ef74ef40adf4806e7cc93fb","first_computed_at":"2026-05-18T03:07:22.337746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:07:22.337746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a5Ld+aqqR00ppNGkVgM8WA/HkwpgeAsle9uBXjrKRvnckhwXhlmR//UfJ6ZgBtuAIVGe6Jj30jKnNOUnAvsWDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:07:22.338490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.2622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d21d601e499661f79d95f044355f07c05feacebf4019c9fbdc5f33f61d5ab7e","sha256:4b556bbcb792d5483aabe5800877c44341a5bc876450566307d081d5b8eaf3ab"],"state_sha256":"fb1b07d27c1d2ec796d67831b738448db0efbdbf17f5215cdd87bfde3fda5206"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wV6vWncxH/oA1mq95fPGSG8xnW2uycam7GZkVJBhWTIR9iht39t1en52g7pFLW7Ozsl6NyPTjoh9LYYxeOssBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:31:24.249296Z","bundle_sha256":"5530615e6d26e5174c706db07cda758fd0d47fbee79740c5c82f4edac2f9e888"}}