{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:B5FV677EL3F2T52DNDDYIUWCDP","short_pith_number":"pith:B5FV677E","canonical_record":{"source":{"id":"1402.1954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-09T14:25:45Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"3979f59e76a8b2e64d0ea2aaf3ab06b0dfaa74a786c19dd992f5253a2bb83aa2","abstract_canon_sha256":"bd80643ca31318c05e0307b1c0dc47b172968261dee9810e0ec67ada3cac3100"},"schema_version":"1.0"},"canonical_sha256":"0f4b5f7fe45ecba9f74368c78452c21bca63d3a83c289b61b1731db87d2c3494","source":{"kind":"arxiv","id":"1402.1954","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1954","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1954v1","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1954","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"B5FV677EL3F2","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"B5FV677EL3F2T52D","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"B5FV677E","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:B5FV677EL3F2T52DNDDYIUWCDP","target":"record","payload":{"canonical_record":{"source":{"id":"1402.1954","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-09T14:25:45Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"3979f59e76a8b2e64d0ea2aaf3ab06b0dfaa74a786c19dd992f5253a2bb83aa2","abstract_canon_sha256":"bd80643ca31318c05e0307b1c0dc47b172968261dee9810e0ec67ada3cac3100"},"schema_version":"1.0"},"canonical_sha256":"0f4b5f7fe45ecba9f74368c78452c21bca63d3a83c289b61b1731db87d2c3494","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:32.935956Z","signature_b64":"NketCLmfalWbeN8s3NCmwmFLyTNE71OzBQYyvI7uBiXpm5hda7ZVBvh2Nu1ihi+wQbSNJmH/AeaImN79oESBDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0f4b5f7fe45ecba9f74368c78452c21bca63d3a83c289b61b1731db87d2c3494","last_reissued_at":"2026-05-18T02:59:32.935073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:32.935073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.1954","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":"2026-05-18T02:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fktNKKHaLbqSOUidZaowykY6G9zi7pI+zSFeztnxJAKsrtMaYTgg/a/Dls9l1gDH68L1OzatQRKe7qA2PfEtBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:07:10.651405Z"},"content_sha256":"b527aa0837c83759db58d299db0e5b78bbf393c50906c6fd3862bb302bcb612e","schema_version":"1.0","event_id":"sha256:b527aa0837c83759db58d299db0e5b78bbf393c50906c6fd3862bb302bcb612e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:B5FV677EL3F2T52DNDDYIUWCDP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the $\\partial\\overline{\\partial}$-Lemma and Bott-Chern cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.DG","authors_text":"Adriano Tomassini, Daniele Angella","submitted_at":"2014-02-09T14:25:45Z","abstract_excerpt":"On a compact complex manifold $X$, we prove a Fr\\\"olicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if $X$ satisfies the $\\partial\\overline{\\partial}$-Lemma."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1954","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":"2026-05-18T02:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D8eXTrcuDUbuKShvHRDImcXVL+MxFF/dQrFXXWoGe01H8p7kv5Baoq6ZGuayS1a4VTcSn0YU4j3Q2SVx8etYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:07:10.651752Z"},"content_sha256":"c388904cae3d21c734c5b9d385c449b1a8cdd3a077c06d86103f1bf03f77dc4e","schema_version":"1.0","event_id":"sha256:c388904cae3d21c734c5b9d385c449b1a8cdd3a077c06d86103f1bf03f77dc4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B5FV677EL3F2T52DNDDYIUWCDP/bundle.json","state_url":"https://pith.science/pith/B5FV677EL3F2T52DNDDYIUWCDP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B5FV677EL3F2T52DNDDYIUWCDP/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":"2026-06-03T20:07:10Z","links":{"resolver":"https://pith.science/pith/B5FV677EL3F2T52DNDDYIUWCDP","bundle":"https://pith.science/pith/B5FV677EL3F2T52DNDDYIUWCDP/bundle.json","state":"https://pith.science/pith/B5FV677EL3F2T52DNDDYIUWCDP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B5FV677EL3F2T52DNDDYIUWCDP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B5FV677EL3F2T52DNDDYIUWCDP","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":"bd80643ca31318c05e0307b1c0dc47b172968261dee9810e0ec67ada3cac3100","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-09T14:25:45Z","title_canon_sha256":"3979f59e76a8b2e64d0ea2aaf3ab06b0dfaa74a786c19dd992f5253a2bb83aa2"},"schema_version":"1.0","source":{"id":"1402.1954","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1954","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1954v1","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1954","created_at":"2026-05-18T02:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"B5FV677EL3F2","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"B5FV677EL3F2T52D","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"B5FV677E","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:c388904cae3d21c734c5b9d385c449b1a8cdd3a077c06d86103f1bf03f77dc4e","target":"graph","created_at":"2026-05-18T02:59:32Z","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":"On a compact complex manifold $X$, we prove a Fr\\\"olicher-type inequality for Bott-Chern cohomology and we show that the equality holds if and only if $X$ satisfies the $\\partial\\overline{\\partial}$-Lemma.","authors_text":"Adriano Tomassini, Daniele Angella","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-09T14:25:45Z","title":"On the $\\partial\\overline{\\partial}$-Lemma and Bott-Chern cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1954","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:b527aa0837c83759db58d299db0e5b78bbf393c50906c6fd3862bb302bcb612e","target":"record","created_at":"2026-05-18T02:59:32Z","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":"bd80643ca31318c05e0307b1c0dc47b172968261dee9810e0ec67ada3cac3100","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-02-09T14:25:45Z","title_canon_sha256":"3979f59e76a8b2e64d0ea2aaf3ab06b0dfaa74a786c19dd992f5253a2bb83aa2"},"schema_version":"1.0","source":{"id":"1402.1954","kind":"arxiv","version":1}},"canonical_sha256":"0f4b5f7fe45ecba9f74368c78452c21bca63d3a83c289b61b1731db87d2c3494","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f4b5f7fe45ecba9f74368c78452c21bca63d3a83c289b61b1731db87d2c3494","first_computed_at":"2026-05-18T02:59:32.935073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:32.935073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NketCLmfalWbeN8s3NCmwmFLyTNE71OzBQYyvI7uBiXpm5hda7ZVBvh2Nu1ihi+wQbSNJmH/AeaImN79oESBDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:32.935956Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1954","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b527aa0837c83759db58d299db0e5b78bbf393c50906c6fd3862bb302bcb612e","sha256:c388904cae3d21c734c5b9d385c449b1a8cdd3a077c06d86103f1bf03f77dc4e"],"state_sha256":"80e557465ded00fea7ff7ca802b19b9dffd842f5c2b7936736146ba502fe64b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VeK1rvF5/7BUDa7XS2r9G+i6VeivK/yxJMeAwWNwNJ9o5bTcNuqe76yB0C9ow6T9JB5Kl4nPMYTdzWNQ2Ym8CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:07:10.653675Z","bundle_sha256":"ed68b8907a3a82f5311b775817029f9bd13d235a86c4fc2b03f5cce53f7fc700"}}