{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SGB6BXPIS5RLPBYUFOHIXJ4XNH","short_pith_number":"pith:SGB6BXPI","canonical_record":{"source":{"id":"1012.3644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-12-16T15:46:47Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"60bba37d01ca976612b2b42ac07a4798464938d89d3aa3d52c117a3234b6deb7","abstract_canon_sha256":"b380318d4a4d4f7597cc2b0037de5e440aa79f698c2923d168d8acdc57b6d49d"},"schema_version":"1.0"},"canonical_sha256":"9183e0dde89762b787142b8e8ba79769d83231be81304f7fad730c6afceb337b","source":{"kind":"arxiv","id":"1012.3644","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3644","created_at":"2026-05-18T04:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3644v1","created_at":"2026-05-18T04:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3644","created_at":"2026-05-18T04:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"SGB6BXPIS5RL","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SGB6BXPIS5RLPBYU","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SGB6BXPI","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SGB6BXPIS5RLPBYUFOHIXJ4XNH","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-12-16T15:46:47Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"60bba37d01ca976612b2b42ac07a4798464938d89d3aa3d52c117a3234b6deb7","abstract_canon_sha256":"b380318d4a4d4f7597cc2b0037de5e440aa79f698c2923d168d8acdc57b6d49d"},"schema_version":"1.0"},"canonical_sha256":"9183e0dde89762b787142b8e8ba79769d83231be81304f7fad730c6afceb337b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:06.031619Z","signature_b64":"BFCjzfk3VOo72CdJrvh5bnAWM5PIs8Em7zOiufydLuQ5ejLdpiMDsJVfbzKEw3BVnLp0U+CzVa1B2E6VtoY/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9183e0dde89762b787142b8e8ba79769d83231be81304f7fad730c6afceb337b","last_reissued_at":"2026-05-18T04:33:06.030784Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:06.030784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3644","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":"2026-05-18T04:33:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n3Of5REaczDD8LGy+82X5eL3mwucpyIGpeVa7BBcg58DX9PRGbEGkjVZBJL7e6zfJyV+xebBaBJGmKo3gHrzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:03:31.152070Z"},"content_sha256":"49eebbdf22316635f1732453ab11070f36bcfcc2cd2fedb2edf34ee9e287f28d","schema_version":"1.0","event_id":"sha256:49eebbdf22316635f1732453ab11070f36bcfcc2cd2fedb2edf34ee9e287f28d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SGB6BXPIS5RLPBYUFOHIXJ4XNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic generic complex structures on 4-manifolds with b_+ = 1","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.SG","authors_text":"Dmitri Panov, Paolo Cascini","submitted_at":"2010-12-16T15:46:47Z","abstract_excerpt":"We study symplectic structures on K\\\"ahler surfaces with p_g = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K\\\"ahler metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3644","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":"2026-05-18T04:33:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oG0Wm2E7/4/txwD/bwPfd2ZitmQ7HDFr899Q22olUGZ5TzoeRMBzs5CptKYXlCGsQj/dPzJe9jpG6oVkiJF6DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:03:31.152444Z"},"content_sha256":"934365513187b17face9f6c1ca34b7e259e9fccd691ad6f709305a2fda2f205d","schema_version":"1.0","event_id":"sha256:934365513187b17face9f6c1ca34b7e259e9fccd691ad6f709305a2fda2f205d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SGB6BXPIS5RLPBYUFOHIXJ4XNH/bundle.json","state_url":"https://pith.science/pith/SGB6BXPIS5RLPBYUFOHIXJ4XNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SGB6BXPIS5RLPBYUFOHIXJ4XNH/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":"2026-06-03T16:03:31Z","links":{"resolver":"https://pith.science/pith/SGB6BXPIS5RLPBYUFOHIXJ4XNH","bundle":"https://pith.science/pith/SGB6BXPIS5RLPBYUFOHIXJ4XNH/bundle.json","state":"https://pith.science/pith/SGB6BXPIS5RLPBYUFOHIXJ4XNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SGB6BXPIS5RLPBYUFOHIXJ4XNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SGB6BXPIS5RLPBYUFOHIXJ4XNH","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":"b380318d4a4d4f7597cc2b0037de5e440aa79f698c2923d168d8acdc57b6d49d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-12-16T15:46:47Z","title_canon_sha256":"60bba37d01ca976612b2b42ac07a4798464938d89d3aa3d52c117a3234b6deb7"},"schema_version":"1.0","source":{"id":"1012.3644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3644","created_at":"2026-05-18T04:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3644v1","created_at":"2026-05-18T04:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3644","created_at":"2026-05-18T04:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"SGB6BXPIS5RL","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SGB6BXPIS5RLPBYU","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SGB6BXPI","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:934365513187b17face9f6c1ca34b7e259e9fccd691ad6f709305a2fda2f205d","target":"graph","created_at":"2026-05-18T04:33:06Z","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 study symplectic structures on K\\\"ahler surfaces with p_g = 0. We give an example of a projective surface which admits a symplectic structure which is not compatible with any K\\\"ahler metric.","authors_text":"Dmitri Panov, Paolo Cascini","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-12-16T15:46:47Z","title":"Symplectic generic complex structures on 4-manifolds with b_+ = 1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3644","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":"sha256:49eebbdf22316635f1732453ab11070f36bcfcc2cd2fedb2edf34ee9e287f28d","target":"record","created_at":"2026-05-18T04:33:06Z","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":"b380318d4a4d4f7597cc2b0037de5e440aa79f698c2923d168d8acdc57b6d49d","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-12-16T15:46:47Z","title_canon_sha256":"60bba37d01ca976612b2b42ac07a4798464938d89d3aa3d52c117a3234b6deb7"},"schema_version":"1.0","source":{"id":"1012.3644","kind":"arxiv","version":1}},"canonical_sha256":"9183e0dde89762b787142b8e8ba79769d83231be81304f7fad730c6afceb337b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9183e0dde89762b787142b8e8ba79769d83231be81304f7fad730c6afceb337b","first_computed_at":"2026-05-18T04:33:06.030784Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:06.030784Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BFCjzfk3VOo72CdJrvh5bnAWM5PIs8Em7zOiufydLuQ5ejLdpiMDsJVfbzKEw3BVnLp0U+CzVa1B2E6VtoY/Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:06.031619Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49eebbdf22316635f1732453ab11070f36bcfcc2cd2fedb2edf34ee9e287f28d","sha256:934365513187b17face9f6c1ca34b7e259e9fccd691ad6f709305a2fda2f205d"],"state_sha256":"8e7f7cd8dc855393787c45bac415c097e498f6533a9dcddf235015e5d8328aba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VGU0wWIBzFHI9ALoqCQKkvVb+YS8V2ZLhXj9X69H8TLVgzHK5nWZNhOodJjGJYdLhotvGHsu1rkGRyfX3cxlDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:03:31.154347Z","bundle_sha256":"6e51e0e263c8e6605dfb0e5f2f7b25ceb63b32c955ad218489ce9e49eb9f7584"}}