{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:V2DSQCPXBH34KPHWPPGPU4WOFB","short_pith_number":"pith:V2DSQCPX","canonical_record":{"source":{"id":"1406.2101","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-09T07:48:44Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"fbda9426dd339289fb4a1a2a7d2eebb43b24d7d4aed027f333d5acb8800197e7","abstract_canon_sha256":"a503b126b33cbef1af5b404d855e4a87036f68d8ac432a5025570d46cc38a190"},"schema_version":"1.0"},"canonical_sha256":"ae872809f709f7c53cf67bccfa72ce286801687d1fda045037717b3b6ba31cb2","source":{"kind":"arxiv","id":"1406.2101","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2101","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2101v1","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2101","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"V2DSQCPXBH34","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V2DSQCPXBH34KPHW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V2DSQCPX","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:V2DSQCPXBH34KPHWPPGPU4WOFB","target":"record","payload":{"canonical_record":{"source":{"id":"1406.2101","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-09T07:48:44Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"fbda9426dd339289fb4a1a2a7d2eebb43b24d7d4aed027f333d5acb8800197e7","abstract_canon_sha256":"a503b126b33cbef1af5b404d855e4a87036f68d8ac432a5025570d46cc38a190"},"schema_version":"1.0"},"canonical_sha256":"ae872809f709f7c53cf67bccfa72ce286801687d1fda045037717b3b6ba31cb2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:05.636914Z","signature_b64":"ocPvVaNt4BV0rWyrt/fWr5aOVWEoSCvPYF+FJd7WLGJFn3Gz93TLtrzCIgenmy/0xlBctb6PTo2BGlDXrVTNCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae872809f709f7c53cf67bccfa72ce286801687d1fda045037717b3b6ba31cb2","last_reissued_at":"2026-05-18T01:34:05.636189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:05.636189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.2101","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":"2026-05-18T01:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"daeU40xk31pYwzqMjJG/MVEVkDMzqZ7xop2A3QObYMLhaMTlU+0/othutlp2A3IyYgScSO5+gQbMz9s2vHicBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:56:48.697560Z"},"content_sha256":"a3ff404026b7c05e73f067f1ab89713018de74d04c0da3dc5246ab7543eeca29","schema_version":"1.0","event_id":"sha256:a3ff404026b7c05e73f067f1ab89713018de74d04c0da3dc5246ab7543eeca29"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:V2DSQCPXBH34KPHWPPGPU4WOFB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On cohomological decomposition of generalized-complex structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.DG","authors_text":"Adela Latorre, Daniele Angella, Simone Calamai","submitted_at":"2014-06-09T07:48:44Z","abstract_excerpt":"We study properties concerning decomposition in cohomology by means of generalized-complex structures. This notion includes the $\\mathcal{C}^\\infty$-pure-and-fullness introduced by Li and Zhang in the complex case and the Hard Lefschetz Condition in the symplectic case. Explicit examples on the moduli space of the Iwasawa manifold are investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2101","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":"2026-05-18T01:34:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vQW4VZqhxuice4hKirBMb6ijIEOGTAhBYK7gu+oR55dA2kKU3C4R5vPfl9Z5PajQNncLuZ4x2lbwYSpmAi4RDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T22:56:48.697917Z"},"content_sha256":"cfff89fcb2099469c9858fc23f8ee6335292c10a76de14fef5b6d741012c93bd","schema_version":"1.0","event_id":"sha256:cfff89fcb2099469c9858fc23f8ee6335292c10a76de14fef5b6d741012c93bd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2DSQCPXBH34KPHWPPGPU4WOFB/bundle.json","state_url":"https://pith.science/pith/V2DSQCPXBH34KPHWPPGPU4WOFB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2DSQCPXBH34KPHWPPGPU4WOFB/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":"2026-05-28T22:56:48Z","links":{"resolver":"https://pith.science/pith/V2DSQCPXBH34KPHWPPGPU4WOFB","bundle":"https://pith.science/pith/V2DSQCPXBH34KPHWPPGPU4WOFB/bundle.json","state":"https://pith.science/pith/V2DSQCPXBH34KPHWPPGPU4WOFB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2DSQCPXBH34KPHWPPGPU4WOFB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:V2DSQCPXBH34KPHWPPGPU4WOFB","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":"a503b126b33cbef1af5b404d855e4a87036f68d8ac432a5025570d46cc38a190","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-09T07:48:44Z","title_canon_sha256":"fbda9426dd339289fb4a1a2a7d2eebb43b24d7d4aed027f333d5acb8800197e7"},"schema_version":"1.0","source":{"id":"1406.2101","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2101","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2101v1","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2101","created_at":"2026-05-18T01:34:05Z"},{"alias_kind":"pith_short_12","alias_value":"V2DSQCPXBH34","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V2DSQCPXBH34KPHW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V2DSQCPX","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:cfff89fcb2099469c9858fc23f8ee6335292c10a76de14fef5b6d741012c93bd","target":"graph","created_at":"2026-05-18T01:34:05Z","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 properties concerning decomposition in cohomology by means of generalized-complex structures. This notion includes the $\\mathcal{C}^\\infty$-pure-and-fullness introduced by Li and Zhang in the complex case and the Hard Lefschetz Condition in the symplectic case. Explicit examples on the moduli space of the Iwasawa manifold are investigated.","authors_text":"Adela Latorre, Daniele Angella, Simone Calamai","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-09T07:48:44Z","title":"On cohomological decomposition of generalized-complex structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2101","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:a3ff404026b7c05e73f067f1ab89713018de74d04c0da3dc5246ab7543eeca29","target":"record","created_at":"2026-05-18T01:34:05Z","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":"a503b126b33cbef1af5b404d855e4a87036f68d8ac432a5025570d46cc38a190","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-06-09T07:48:44Z","title_canon_sha256":"fbda9426dd339289fb4a1a2a7d2eebb43b24d7d4aed027f333d5acb8800197e7"},"schema_version":"1.0","source":{"id":"1406.2101","kind":"arxiv","version":1}},"canonical_sha256":"ae872809f709f7c53cf67bccfa72ce286801687d1fda045037717b3b6ba31cb2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae872809f709f7c53cf67bccfa72ce286801687d1fda045037717b3b6ba31cb2","first_computed_at":"2026-05-18T01:34:05.636189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:05.636189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ocPvVaNt4BV0rWyrt/fWr5aOVWEoSCvPYF+FJd7WLGJFn3Gz93TLtrzCIgenmy/0xlBctb6PTo2BGlDXrVTNCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:05.636914Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2101","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a3ff404026b7c05e73f067f1ab89713018de74d04c0da3dc5246ab7543eeca29","sha256:cfff89fcb2099469c9858fc23f8ee6335292c10a76de14fef5b6d741012c93bd"],"state_sha256":"e73ae30ae664cdbe2a90d515e07a27d46091eaecdd0c17e4e4d50de505062636"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CUwSspI25HI1pqvt7Y3nQghLd6C3Chs6iJqDkbk/RGhTO0oym8UzDsBCZU943q5BS8Ru1D0zek7CXWSZnk/VBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T22:56:48.700226Z","bundle_sha256":"f4ac4c8dbea57fb993910d3f2d7e3715bcc04ae0f34b5d50f7bfb2b3a556f4bf"}}