{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:TD4W6N5PSYEKDJ6W3HEZDWI53J","short_pith_number":"pith:TD4W6N5P","canonical_record":{"source":{"id":"1009.2677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-14T14:23:48Z","cross_cats_sorted":[],"title_canon_sha256":"d88b4816f1b2775a57726374e27f2f0ab1b3ad321586483abe9122d0fe8bad7a","abstract_canon_sha256":"3c208bb3f0adb978babc1637d058c0ed6757ac5b4af2b962c31f54ec927e31a3"},"schema_version":"1.0"},"canonical_sha256":"98f96f37af9608a1a7d6d9c991d91dda7cd7f8996b92b688c3a651f06d44feee","source":{"kind":"arxiv","id":"1009.2677","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2677","created_at":"2026-05-18T04:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2677v1","created_at":"2026-05-18T04:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2677","created_at":"2026-05-18T04:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"TD4W6N5PSYEK","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TD4W6N5PSYEKDJ6W","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TD4W6N5P","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:TD4W6N5PSYEKDJ6W3HEZDWI53J","target":"record","payload":{"canonical_record":{"source":{"id":"1009.2677","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-14T14:23:48Z","cross_cats_sorted":[],"title_canon_sha256":"d88b4816f1b2775a57726374e27f2f0ab1b3ad321586483abe9122d0fe8bad7a","abstract_canon_sha256":"3c208bb3f0adb978babc1637d058c0ed6757ac5b4af2b962c31f54ec927e31a3"},"schema_version":"1.0"},"canonical_sha256":"98f96f37af9608a1a7d6d9c991d91dda7cd7f8996b92b688c3a651f06d44feee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:40:56.600241Z","signature_b64":"tYHCy1xWwM7O0ztulXGpRH0iQ15qhBlWgO3/V5c/HaM0nOYmHnQKaCI/K2N9TAHN0sRJPjxTE0fMhswwWBVdBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98f96f37af9608a1a7d6d9c991d91dda7cd7f8996b92b688c3a651f06d44feee","last_reissued_at":"2026-05-18T04:40:56.599554Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:40:56.599554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.2677","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":"2026-05-18T04:40:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i9q3ar9DZvds6Xr8zrBZhgZp6N7wArxoGP3vrOYfarbulJ5fO7ZxncYNDfp2LrjoT+jBiokBQLSTYTyIMTsEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T06:31:20.981345Z"},"content_sha256":"e7eefc7bbf14a6608aaa881c981860b71da3d196e9524452429628108c8a2090","schema_version":"1.0","event_id":"sha256:e7eefc7bbf14a6608aaa881c981860b71da3d196e9524452429628108c8a2090"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:TD4W6N5PSYEKDJ6W3HEZDWI53J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schur's theorem of antiholomorphic type for quasi-K\\\"ahlerian manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Georgi Ganchev, Ognian Kassabov","submitted_at":"2010-09-14T14:23:48Z","abstract_excerpt":"It is proved, that if a quasi-K\\\"ahler manifold $M$ of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature $\\nu$, then $\\nu$, the scalar curvature and the $*$-scalar curvature of $M$ are constants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2677","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":"2026-05-18T04:40:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MaTnCYeDRXBmPppGXmATAZHiOwrJlboI7pa3jqRhNAJ11rmY91nKUYVVsXuIRqAMq9xUKa8j4jU6aizNo5inDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T06:31:20.981681Z"},"content_sha256":"dc69396df40e76a8621b27289c1316a814be467ae73ae9fa3204ff9e0e0c1db7","schema_version":"1.0","event_id":"sha256:dc69396df40e76a8621b27289c1316a814be467ae73ae9fa3204ff9e0e0c1db7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TD4W6N5PSYEKDJ6W3HEZDWI53J/bundle.json","state_url":"https://pith.science/pith/TD4W6N5PSYEKDJ6W3HEZDWI53J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TD4W6N5PSYEKDJ6W3HEZDWI53J/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":"2026-06-23T06:31:20Z","links":{"resolver":"https://pith.science/pith/TD4W6N5PSYEKDJ6W3HEZDWI53J","bundle":"https://pith.science/pith/TD4W6N5PSYEKDJ6W3HEZDWI53J/bundle.json","state":"https://pith.science/pith/TD4W6N5PSYEKDJ6W3HEZDWI53J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TD4W6N5PSYEKDJ6W3HEZDWI53J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TD4W6N5PSYEKDJ6W3HEZDWI53J","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":"3c208bb3f0adb978babc1637d058c0ed6757ac5b4af2b962c31f54ec927e31a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-14T14:23:48Z","title_canon_sha256":"d88b4816f1b2775a57726374e27f2f0ab1b3ad321586483abe9122d0fe8bad7a"},"schema_version":"1.0","source":{"id":"1009.2677","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.2677","created_at":"2026-05-18T04:40:56Z"},{"alias_kind":"arxiv_version","alias_value":"1009.2677v1","created_at":"2026-05-18T04:40:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.2677","created_at":"2026-05-18T04:40:56Z"},{"alias_kind":"pith_short_12","alias_value":"TD4W6N5PSYEK","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TD4W6N5PSYEKDJ6W","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TD4W6N5P","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:dc69396df40e76a8621b27289c1316a814be467ae73ae9fa3204ff9e0e0c1db7","target":"graph","created_at":"2026-05-18T04:40:56Z","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":"It is proved, that if a quasi-K\\\"ahler manifold $M$ of dimension greater or equal to 6 is of pointwise constant antiholomorphic sectional curvature $\\nu$, then $\\nu$, the scalar curvature and the $*$-scalar curvature of $M$ are constants.","authors_text":"Georgi Ganchev, Ognian Kassabov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-14T14:23:48Z","title":"Schur's theorem of antiholomorphic type for quasi-K\\\"ahlerian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.2677","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:e7eefc7bbf14a6608aaa881c981860b71da3d196e9524452429628108c8a2090","target":"record","created_at":"2026-05-18T04:40:56Z","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":"3c208bb3f0adb978babc1637d058c0ed6757ac5b4af2b962c31f54ec927e31a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-09-14T14:23:48Z","title_canon_sha256":"d88b4816f1b2775a57726374e27f2f0ab1b3ad321586483abe9122d0fe8bad7a"},"schema_version":"1.0","source":{"id":"1009.2677","kind":"arxiv","version":1}},"canonical_sha256":"98f96f37af9608a1a7d6d9c991d91dda7cd7f8996b92b688c3a651f06d44feee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98f96f37af9608a1a7d6d9c991d91dda7cd7f8996b92b688c3a651f06d44feee","first_computed_at":"2026-05-18T04:40:56.599554Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:40:56.599554Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tYHCy1xWwM7O0ztulXGpRH0iQ15qhBlWgO3/V5c/HaM0nOYmHnQKaCI/K2N9TAHN0sRJPjxTE0fMhswwWBVdBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:40:56.600241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.2677","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7eefc7bbf14a6608aaa881c981860b71da3d196e9524452429628108c8a2090","sha256:dc69396df40e76a8621b27289c1316a814be467ae73ae9fa3204ff9e0e0c1db7"],"state_sha256":"b83f3803b62d29acdcfc38c02807a7e5e7450565dda29add5f3a81f11080422f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lnFxYEv0NGxhSqlxAFfIf4D5WeXtsqqyNVQpSVxYG2cT+3iJ/3FUVVvVT6n0H1fc0ByksutQnjzq7yaCHAdQCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T06:31:20.983514Z","bundle_sha256":"014a1a5cae31734d73a09b84440d7e135890c02162b65721973a58e2567b1c3d"}}