{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QG2YWZEU2FZXSUIZXZ4HK7SU6P","short_pith_number":"pith:QG2YWZEU","canonical_record":{"source":{"id":"1108.5111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-25T15:05:32Z","cross_cats_sorted":[],"title_canon_sha256":"7df5c1be9f154a4a42a431484830db90089a46b7a82e5cba2e5a68025a389d4f","abstract_canon_sha256":"ffa178e1ce4d34679fb99aec60815930b4766495d489d406f259d84524943ff0"},"schema_version":"1.0"},"canonical_sha256":"81b58b6494d173795119be78757e54f3c66e6facf6cd73725a0c067db9dff3ec","source":{"kind":"arxiv","id":"1108.5111","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5111","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5111v1","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5111","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"QG2YWZEU2FZX","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QG2YWZEU2FZXSUIZ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QG2YWZEU","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QG2YWZEU2FZXSUIZXZ4HK7SU6P","target":"record","payload":{"canonical_record":{"source":{"id":"1108.5111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-25T15:05:32Z","cross_cats_sorted":[],"title_canon_sha256":"7df5c1be9f154a4a42a431484830db90089a46b7a82e5cba2e5a68025a389d4f","abstract_canon_sha256":"ffa178e1ce4d34679fb99aec60815930b4766495d489d406f259d84524943ff0"},"schema_version":"1.0"},"canonical_sha256":"81b58b6494d173795119be78757e54f3c66e6facf6cd73725a0c067db9dff3ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:14:45.379777Z","signature_b64":"Mc4a/EdifL4hCAUSvwvJ5L0hNfyKA6voV8us/wa2JPWgYyrL8+2QV/12X6zfz1e80JmlF2iMDytxcNR5zuZrDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81b58b6494d173795119be78757e54f3c66e6facf6cd73725a0c067db9dff3ec","last_reissued_at":"2026-05-18T04:14:45.379124Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:14:45.379124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1108.5111","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":"2026-05-18T04:14:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"40ySkIdaCpebNB7Nu+TvxMA/lFGYA67V2VdP1MV7BRF6GtHphHxFNXuBdZlJ3tWPIuMcOvSJGXWbTKM4wStnAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T17:44:57.570187Z"},"content_sha256":"bc13f89642acad48e61e2e3f182888bd12c1e25e6ac16263ae95e9650a92ebcf","schema_version":"1.0","event_id":"sha256:bc13f89642acad48e61e2e3f182888bd12c1e25e6ac16263ae95e9650a92ebcf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QG2YWZEU2FZXSUIZXZ4HK7SU6P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schur's Theorem for Almost Hermitian Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ognian Kassabov","submitted_at":"2011-08-25T15:05:32Z","abstract_excerpt":"The Schur's theorem of antiholomorphic type is proved for arbitrary almost Hermitian manifolds, namely: If a connected almost Hermitian manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then this curvature is a global constant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5111","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":"2026-05-18T04:14:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jj4VvB4H51Je7Q6k6RMouTCb/i6niVhwd3j++5SOvuTowJzdBixqQnI9TmeB8u2eGkvjbeTpikaUa4KO0+OMDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T17:44:57.570537Z"},"content_sha256":"db2c16a2d7b1dbcb0958e68e2fd1a7c2f0e726ec49277bf7efe99e330971785f","schema_version":"1.0","event_id":"sha256:db2c16a2d7b1dbcb0958e68e2fd1a7c2f0e726ec49277bf7efe99e330971785f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QG2YWZEU2FZXSUIZXZ4HK7SU6P/bundle.json","state_url":"https://pith.science/pith/QG2YWZEU2FZXSUIZXZ4HK7SU6P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QG2YWZEU2FZXSUIZXZ4HK7SU6P/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":"2026-06-25T17:44:57Z","links":{"resolver":"https://pith.science/pith/QG2YWZEU2FZXSUIZXZ4HK7SU6P","bundle":"https://pith.science/pith/QG2YWZEU2FZXSUIZXZ4HK7SU6P/bundle.json","state":"https://pith.science/pith/QG2YWZEU2FZXSUIZXZ4HK7SU6P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QG2YWZEU2FZXSUIZXZ4HK7SU6P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QG2YWZEU2FZXSUIZXZ4HK7SU6P","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":"ffa178e1ce4d34679fb99aec60815930b4766495d489d406f259d84524943ff0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-25T15:05:32Z","title_canon_sha256":"7df5c1be9f154a4a42a431484830db90089a46b7a82e5cba2e5a68025a389d4f"},"schema_version":"1.0","source":{"id":"1108.5111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1108.5111","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"arxiv_version","alias_value":"1108.5111v1","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5111","created_at":"2026-05-18T04:14:45Z"},{"alias_kind":"pith_short_12","alias_value":"QG2YWZEU2FZX","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QG2YWZEU2FZXSUIZ","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QG2YWZEU","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:db2c16a2d7b1dbcb0958e68e2fd1a7c2f0e726ec49277bf7efe99e330971785f","target":"graph","created_at":"2026-05-18T04:14:45Z","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":"The Schur's theorem of antiholomorphic type is proved for arbitrary almost Hermitian manifolds, namely: If a connected almost Hermitian manifold of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature, then this curvature is a global constant.","authors_text":"Ognian Kassabov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-25T15:05:32Z","title":"Schur's Theorem for Almost Hermitian Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5111","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:bc13f89642acad48e61e2e3f182888bd12c1e25e6ac16263ae95e9650a92ebcf","target":"record","created_at":"2026-05-18T04:14:45Z","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":"ffa178e1ce4d34679fb99aec60815930b4766495d489d406f259d84524943ff0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-08-25T15:05:32Z","title_canon_sha256":"7df5c1be9f154a4a42a431484830db90089a46b7a82e5cba2e5a68025a389d4f"},"schema_version":"1.0","source":{"id":"1108.5111","kind":"arxiv","version":1}},"canonical_sha256":"81b58b6494d173795119be78757e54f3c66e6facf6cd73725a0c067db9dff3ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81b58b6494d173795119be78757e54f3c66e6facf6cd73725a0c067db9dff3ec","first_computed_at":"2026-05-18T04:14:45.379124Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:45.379124Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mc4a/EdifL4hCAUSvwvJ5L0hNfyKA6voV8us/wa2JPWgYyrL8+2QV/12X6zfz1e80JmlF2iMDytxcNR5zuZrDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:45.379777Z","signed_message":"canonical_sha256_bytes"},"source_id":"1108.5111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bc13f89642acad48e61e2e3f182888bd12c1e25e6ac16263ae95e9650a92ebcf","sha256:db2c16a2d7b1dbcb0958e68e2fd1a7c2f0e726ec49277bf7efe99e330971785f"],"state_sha256":"6c349bec3123a83d14fca37d6bea476ee451534cc8c8b8bdd7109bd7d7ef3eb1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AW3kLK4CeQK0gSxgPwNEwh5bvR+Z1o9RM+eXYqdcDBl50i/0+6Y/KPMLUJR0BLhfYcOn8Mv0TGHefeNc5wi0Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T17:44:57.572480Z","bundle_sha256":"0cbbada1222b37abb2faad631148ec29d02eb2b4504bca7d6e5448f76fe3bca8"}}