{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XY2C6BZUVT3COAMYCOMA6R4HUO","short_pith_number":"pith:XY2C6BZU","canonical_record":{"source":{"id":"2410.04791","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-10-07T07:07:10Z","cross_cats_sorted":[],"title_canon_sha256":"c551e2c06234b31ebb215262151f8f8682994372f0e90f5ef5f76c90927e111e","abstract_canon_sha256":"c0304a98f9238f425b054afcf302c9b21d68529c2caf37f1293dcfc3999dccb7"},"schema_version":"1.0"},"canonical_sha256":"be342f0734acf627019813980f4787a3beb860ed3391c8ab3750e5d7437421a3","source":{"kind":"arxiv","id":"2410.04791","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.04791","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"2410.04791v1","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.04791","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"XY2C6BZUVT3C","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"pith_short_16","alias_value":"XY2C6BZUVT3COAMY","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"pith_short_8","alias_value":"XY2C6BZU","created_at":"2026-07-05T09:16:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XY2C6BZUVT3COAMYCOMA6R4HUO","target":"record","payload":{"canonical_record":{"source":{"id":"2410.04791","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-10-07T07:07:10Z","cross_cats_sorted":[],"title_canon_sha256":"c551e2c06234b31ebb215262151f8f8682994372f0e90f5ef5f76c90927e111e","abstract_canon_sha256":"c0304a98f9238f425b054afcf302c9b21d68529c2caf37f1293dcfc3999dccb7"},"schema_version":"1.0"},"canonical_sha256":"be342f0734acf627019813980f4787a3beb860ed3391c8ab3750e5d7437421a3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:16:56.152275Z","signature_b64":"giUFNWVN7eUcgQUhEgFFmyJSpAGPCtFWr3cIFB+cclIMnh0MuNx0lp4CSPgX+cJPzdRWUFcqxiYwC3Dy+NU4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be342f0734acf627019813980f4787a3beb860ed3391c8ab3750e5d7437421a3","last_reissued_at":"2026-07-05T09:16:56.151822Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:16:56.151822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.04791","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":"2026-07-05T09:16:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y7PYBfaMih4BSUtI+f6k2lv+MhMSLaZf/sKkDqdlb8DN91vJd1UJHXokfH8UZaOoFxv5c9J1ChVNAFai6uWjBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T21:28:06.268039Z"},"content_sha256":"13e8da477462b0c04093c9d868fe87f548e4fcbc76f04d26c6a5f2a36a296599","schema_version":"1.0","event_id":"sha256:13e8da477462b0c04093c9d868fe87f548e4fcbc76f04d26c6a5f2a36a296599"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XY2C6BZUVT3COAMYCOMA6R4HUO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Streets-Tian Conjecture on Lie algebras with codimension $2$ abelian ideals","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fangyang Zheng, Kexiang Cao","submitted_at":"2024-10-07T07:07:10Z","abstract_excerpt":"A Hermitian-symplectic metric is a Hermitian metric whose K\\\"ahler form is given by the $(1,1)$-part of a closed $2$-form. Streets-Tian Conjecture states that a compact complex manifold admitting a Hermitian-symplectic metric must be K\\\"ahlerian (i.e., admitting a K\\\"ahler metric). The conjecture is known to be true in dimension $2$ but is open in dimensions $3$ or higher in general, except in a number of special situations, such as twistor spaces (Verbitsky), Fujiki ${\\mathcal C}$ spaces (Chiose), Vaisman manifolds (Angella-Otiman), etc. For Lie-complex manifolds (namely, compact quotients $G"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.04791","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.04791/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T09:16:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dmTTtAcmDY2q+gwJvsPDGROBkuH4xUj7GX+c4PW9ch94OTIfVKY+qYcty+bSs9otvIhWH7ZDNzTpTBOTVv0oAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T21:28:06.268670Z"},"content_sha256":"aacdcf9b674c822e4639c80f5e2be023ad02b03538ef7337212749a5c0bbc141","schema_version":"1.0","event_id":"sha256:aacdcf9b674c822e4639c80f5e2be023ad02b03538ef7337212749a5c0bbc141"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XY2C6BZUVT3COAMYCOMA6R4HUO/bundle.json","state_url":"https://pith.science/pith/XY2C6BZUVT3COAMYCOMA6R4HUO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XY2C6BZUVT3COAMYCOMA6R4HUO/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":"2026-08-20T21:28:06Z","links":{"resolver":"https://pith.science/pith/XY2C6BZUVT3COAMYCOMA6R4HUO","bundle":"https://pith.science/pith/XY2C6BZUVT3COAMYCOMA6R4HUO/bundle.json","state":"https://pith.science/pith/XY2C6BZUVT3COAMYCOMA6R4HUO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XY2C6BZUVT3COAMYCOMA6R4HUO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XY2C6BZUVT3COAMYCOMA6R4HUO","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":"c0304a98f9238f425b054afcf302c9b21d68529c2caf37f1293dcfc3999dccb7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-10-07T07:07:10Z","title_canon_sha256":"c551e2c06234b31ebb215262151f8f8682994372f0e90f5ef5f76c90927e111e"},"schema_version":"1.0","source":{"id":"2410.04791","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.04791","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"arxiv_version","alias_value":"2410.04791v1","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.04791","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"pith_short_12","alias_value":"XY2C6BZUVT3C","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"pith_short_16","alias_value":"XY2C6BZUVT3COAMY","created_at":"2026-07-05T09:16:56Z"},{"alias_kind":"pith_short_8","alias_value":"XY2C6BZU","created_at":"2026-07-05T09:16:56Z"}],"graph_snapshots":[{"event_id":"sha256:aacdcf9b674c822e4639c80f5e2be023ad02b03538ef7337212749a5c0bbc141","target":"graph","created_at":"2026-07-05T09:16:56Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.04791/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A Hermitian-symplectic metric is a Hermitian metric whose K\\\"ahler form is given by the $(1,1)$-part of a closed $2$-form. Streets-Tian Conjecture states that a compact complex manifold admitting a Hermitian-symplectic metric must be K\\\"ahlerian (i.e., admitting a K\\\"ahler metric). The conjecture is known to be true in dimension $2$ but is open in dimensions $3$ or higher in general, except in a number of special situations, such as twistor spaces (Verbitsky), Fujiki ${\\mathcal C}$ spaces (Chiose), Vaisman manifolds (Angella-Otiman), etc. For Lie-complex manifolds (namely, compact quotients $G","authors_text":"Fangyang Zheng, Kexiang Cao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-10-07T07:07:10Z","title":"Streets-Tian Conjecture on Lie algebras with codimension $2$ abelian ideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.04791","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":"sha256:13e8da477462b0c04093c9d868fe87f548e4fcbc76f04d26c6a5f2a36a296599","target":"record","created_at":"2026-07-05T09:16:56Z","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":"c0304a98f9238f425b054afcf302c9b21d68529c2caf37f1293dcfc3999dccb7","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.DG","submitted_at":"2024-10-07T07:07:10Z","title_canon_sha256":"c551e2c06234b31ebb215262151f8f8682994372f0e90f5ef5f76c90927e111e"},"schema_version":"1.0","source":{"id":"2410.04791","kind":"arxiv","version":1}},"canonical_sha256":"be342f0734acf627019813980f4787a3beb860ed3391c8ab3750e5d7437421a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be342f0734acf627019813980f4787a3beb860ed3391c8ab3750e5d7437421a3","first_computed_at":"2026-07-05T09:16:56.151822Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:16:56.151822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"giUFNWVN7eUcgQUhEgFFmyJSpAGPCtFWr3cIFB+cclIMnh0MuNx0lp4CSPgX+cJPzdRWUFcqxiYwC3Dy+NU4Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T09:16:56.152275Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.04791","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:13e8da477462b0c04093c9d868fe87f548e4fcbc76f04d26c6a5f2a36a296599","sha256:aacdcf9b674c822e4639c80f5e2be023ad02b03538ef7337212749a5c0bbc141"],"state_sha256":"b46bce36e17136ecbbedde1394be4af4b0ec658a7f4ec90825a98f8c32bed017"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zXEf3o+5tZyuseGbVIN235rDXs9iHp5hzGWVd6r4xk9YNZ9r/jYxdx+eUp9WkF5Q6wwuz+KOV5LQ383zLCp5DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T21:28:06.273915Z","bundle_sha256":"e1b982954a115471f6ab8df9c8bb4cf161ca90ae55c1e6c688243d6a75373bcb"}}