{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:C4XCOSXCTANW6BHSV5PGSPAMVE","short_pith_number":"pith:C4XCOSXC","canonical_record":{"source":{"id":"1803.01873","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:00:59Z","cross_cats_sorted":["hep-th","math.AG","math.SG"],"title_canon_sha256":"170cadd212a12ddde72aa137aab22f92af50167a8cfb30c8ea9137667baa932b","abstract_canon_sha256":"f96e49092e71a7ea328d423797917ac0683d15704087b4cb5991d0099df08ccd"},"schema_version":"1.0"},"canonical_sha256":"172e274ae2981b6f04f2af5e693c0ca91db302bea26616b7afcedfa9e316ca9e","source":{"kind":"arxiv","id":"1803.01873","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01873","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01873v3","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01873","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"pith_short_12","alias_value":"C4XCOSXCTANW","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"pith_short_16","alias_value":"C4XCOSXCTANW6BHS","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"pith_short_8","alias_value":"C4XCOSXC","created_at":"2026-07-05T04:55:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:C4XCOSXCTANW6BHSV5PGSPAMVE","target":"record","payload":{"canonical_record":{"source":{"id":"1803.01873","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:00:59Z","cross_cats_sorted":["hep-th","math.AG","math.SG"],"title_canon_sha256":"170cadd212a12ddde72aa137aab22f92af50167a8cfb30c8ea9137667baa932b","abstract_canon_sha256":"f96e49092e71a7ea328d423797917ac0683d15704087b4cb5991d0099df08ccd"},"schema_version":"1.0"},"canonical_sha256":"172e274ae2981b6f04f2af5e693c0ca91db302bea26616b7afcedfa9e316ca9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:55:47.413573Z","signature_b64":"LLVjW11wib9wBZ+grYvRe0La7JwK5EjgcwXLvEKFr3fGV5TklrZQF0JtlZn9dy8guF1ze9VfsRkC/xIZTXsiCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"172e274ae2981b6f04f2af5e693c0ca91db302bea26616b7afcedfa9e316ca9e","last_reissued_at":"2026-07-05T04:55:47.413150Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:55:47.413150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.01873","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:55:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NvqOJOF46TVqCQRww8qTVwTrd8x/7f3j414xzigqNt/jbfxXIz5sVpbOVom59nwjHiTUZeiszNNaDbAmXTECAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:26:27.315441Z"},"content_sha256":"a8642b918f2828c614e79869f03e4292f4645c283abdaf9b5fedf981b5d03d4e","schema_version":"1.0","event_id":"sha256:a8642b918f2828c614e79869f03e4292f4645c283abdaf9b5fedf981b5d03d4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:C4XCOSXCTANW6BHSV5PGSPAMVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Canonical metrics on holomorphic Courant algebroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.AG","math.SG"],"primary_cat":"math.DG","authors_text":"Carl Tipler, C. S. Shahbazi, Mario Garcia-Fernandez, Roberto Rubio","submitted_at":"2018-03-05T19:00:59Z","abstract_excerpt":"The solution of the Calabi Conjecture by Yau implies that every K\\\"ahler Calabi-Yau manifold $X$ admits a metric with holonomy contained in $\\textrm{SU}(n)$, and that these metrics are parametrized by the positive cone in $H^{1,1}(X,\\mathbb{R})$. In this work we give evidence of an extension of Yau's theorem to non-K\\\"ahler manifolds, where $X$ is replaced by a compact complex manifold with vanishing first Chern class endowed with a holomorphic Courant algebroid $Q$ of Bott-Chern type. The equations that define our notion of best metric correspond to a mild generalization of the Hull-Strominge"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01873","kind":"arxiv","version":3},"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/1803.01873/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":"2026-07-05T04:55:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zDPLxW2xgPdilJG9Q/3UXFSryAeRWXN1q49GZbTYVU4YieAPEHBmtR1Ng5qTT53Yu0ltX6SaXvNE1mqA/CX0Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T08:26:27.316539Z"},"content_sha256":"67447438a45857f6a9104bbd3e9d3bbeb556d968563acf761e2afd854960eada","schema_version":"1.0","event_id":"sha256:67447438a45857f6a9104bbd3e9d3bbeb556d968563acf761e2afd854960eada"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C4XCOSXCTANW6BHSV5PGSPAMVE/bundle.json","state_url":"https://pith.science/pith/C4XCOSXCTANW6BHSV5PGSPAMVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C4XCOSXCTANW6BHSV5PGSPAMVE/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":"2026-08-06T08:26:27Z","links":{"resolver":"https://pith.science/pith/C4XCOSXCTANW6BHSV5PGSPAMVE","bundle":"https://pith.science/pith/C4XCOSXCTANW6BHSV5PGSPAMVE/bundle.json","state":"https://pith.science/pith/C4XCOSXCTANW6BHSV5PGSPAMVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C4XCOSXCTANW6BHSV5PGSPAMVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:C4XCOSXCTANW6BHSV5PGSPAMVE","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":"f96e49092e71a7ea328d423797917ac0683d15704087b4cb5991d0099df08ccd","cross_cats_sorted":["hep-th","math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:00:59Z","title_canon_sha256":"170cadd212a12ddde72aa137aab22f92af50167a8cfb30c8ea9137667baa932b"},"schema_version":"1.0","source":{"id":"1803.01873","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.01873","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"arxiv_version","alias_value":"1803.01873v3","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.01873","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"pith_short_12","alias_value":"C4XCOSXCTANW","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"pith_short_16","alias_value":"C4XCOSXCTANW6BHS","created_at":"2026-07-05T04:55:47Z"},{"alias_kind":"pith_short_8","alias_value":"C4XCOSXC","created_at":"2026-07-05T04:55:47Z"}],"graph_snapshots":[{"event_id":"sha256:67447438a45857f6a9104bbd3e9d3bbeb556d968563acf761e2afd854960eada","target":"graph","created_at":"2026-07-05T04:55:47Z","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/1803.01873/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The solution of the Calabi Conjecture by Yau implies that every K\\\"ahler Calabi-Yau manifold $X$ admits a metric with holonomy contained in $\\textrm{SU}(n)$, and that these metrics are parametrized by the positive cone in $H^{1,1}(X,\\mathbb{R})$. In this work we give evidence of an extension of Yau's theorem to non-K\\\"ahler manifolds, where $X$ is replaced by a compact complex manifold with vanishing first Chern class endowed with a holomorphic Courant algebroid $Q$ of Bott-Chern type. The equations that define our notion of best metric correspond to a mild generalization of the Hull-Strominge","authors_text":"Carl Tipler, C. S. Shahbazi, Mario Garcia-Fernandez, Roberto Rubio","cross_cats":["hep-th","math.AG","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:00:59Z","title":"Canonical metrics on holomorphic Courant algebroids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.01873","kind":"arxiv","version":3},"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:a8642b918f2828c614e79869f03e4292f4645c283abdaf9b5fedf981b5d03d4e","target":"record","created_at":"2026-07-05T04:55:47Z","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":"f96e49092e71a7ea328d423797917ac0683d15704087b4cb5991d0099df08ccd","cross_cats_sorted":["hep-th","math.AG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-03-05T19:00:59Z","title_canon_sha256":"170cadd212a12ddde72aa137aab22f92af50167a8cfb30c8ea9137667baa932b"},"schema_version":"1.0","source":{"id":"1803.01873","kind":"arxiv","version":3}},"canonical_sha256":"172e274ae2981b6f04f2af5e693c0ca91db302bea26616b7afcedfa9e316ca9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"172e274ae2981b6f04f2af5e693c0ca91db302bea26616b7afcedfa9e316ca9e","first_computed_at":"2026-07-05T04:55:47.413150Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:55:47.413150Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LLVjW11wib9wBZ+grYvRe0La7JwK5EjgcwXLvEKFr3fGV5TklrZQF0JtlZn9dy8guF1ze9VfsRkC/xIZTXsiCg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:55:47.413573Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.01873","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a8642b918f2828c614e79869f03e4292f4645c283abdaf9b5fedf981b5d03d4e","sha256:67447438a45857f6a9104bbd3e9d3bbeb556d968563acf761e2afd854960eada"],"state_sha256":"47fa6c51f18645dc3ec8756487fa3a4bb337a67cf4b87779f1cb9b854b91b6b8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7FP0LYZfKEjPHpWcJ2OlOcyyzrWtN/hMdVq3ERBk0Y/NXhAMroIKbSrRY2DbepHfuNs6/C5ObaN6UMuxKymeBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T08:26:27.322295Z","bundle_sha256":"77ceb3ab4daa6407edb4b80a942a23b7c7451ab9d73bacd69926894ee409f6e5"}}