{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:6HIZE7MGDBPYD2VE5X2LVKCQ7B","short_pith_number":"pith:6HIZE7MG","canonical_record":{"source":{"id":"1502.02584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-09T18:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"b3d89454f85e34a2397ea60b3fcdef3ff15addf39ecf8fde3fc5c33f99dd1d57","abstract_canon_sha256":"f3e44b294209f0207ff1416c1c9df84ad166569423e750ee30f7e45d099d095d"},"schema_version":"1.0"},"canonical_sha256":"f1d1927d86185f81eaa4edf4baa850f8521885b0bb1351aa3a01f9e4e6c1605c","source":{"kind":"arxiv","id":"1502.02584","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02584","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02584v1","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02584","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"6HIZE7MGDBPY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6HIZE7MGDBPYD2VE","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6HIZE7MG","created_at":"2026-05-18T12:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:6HIZE7MGDBPYD2VE5X2LVKCQ7B","target":"record","payload":{"canonical_record":{"source":{"id":"1502.02584","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-09T18:07:04Z","cross_cats_sorted":[],"title_canon_sha256":"b3d89454f85e34a2397ea60b3fcdef3ff15addf39ecf8fde3fc5c33f99dd1d57","abstract_canon_sha256":"f3e44b294209f0207ff1416c1c9df84ad166569423e750ee30f7e45d099d095d"},"schema_version":"1.0"},"canonical_sha256":"f1d1927d86185f81eaa4edf4baa850f8521885b0bb1351aa3a01f9e4e6c1605c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:41.799527Z","signature_b64":"PCrvoLkg9omLqZsiLpS9SW/jF4iLApIulUi017B4i0tZDfjDVkkeN0doZMTzZjxXnGupQngVusKAqybhiyACBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1d1927d86185f81eaa4edf4baa850f8521885b0bb1351aa3a01f9e4e6c1605c","last_reissued_at":"2026-05-18T02:27:41.798810Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:41.798810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.02584","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":"2026-05-18T02:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vNRoXrTi0Zcfuoqdp0DvmL/3zgZ16a5XEDpMPkka+Cxef5NqSDBA1iKy9JIvrIRajLBen2n/RCM5AR/FFp2qDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:32:16.627886Z"},"content_sha256":"842c340a5ae82dcc80b4c95d97b3044199bed9cb56b3d60b060ed4e6eb611eaa","schema_version":"1.0","event_id":"sha256:842c340a5ae82dcc80b4c95d97b3044199bed9cb56b3d60b060ed4e6eb611eaa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:6HIZE7MGDBPYD2VE5X2LVKCQ7B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized K\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jeffrey Streets","submitted_at":"2015-02-09T18:07:04Z","abstract_excerpt":"We prove long time existence and convergence results for the pluriclosed flow, which imply geometric and topological classification theorems for generalized K\\\"ahler structures. Our approach centers on the reduction of pluriclosed flow to a degenerate parabolic equation for a $(1,0)$-form, introduced in \\cite{ST2}. We observe a number of differential inequalities satisfied by this system which lead to a priori $L^{\\infty}$ estimates for the metric along the flow. Moreover we observe an unexpected connection to \"Born-Infeld geometry\" which leads to a sharp differential inequality which can be u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02584","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":"2026-05-18T02:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zFxHO4ew76gmIUyZRc9iykw5Y8V4cfafp69DRjLXWajgM7oCQPfaeSkL8MfkqfCKNQvodxuRNbZH3f3EY/DNCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T15:32:16.628222Z"},"content_sha256":"0fdba85c03e8a19b490941c1f04b61d617368fd3c2940bb6198f0ab91b9f9b36","schema_version":"1.0","event_id":"sha256:0fdba85c03e8a19b490941c1f04b61d617368fd3c2940bb6198f0ab91b9f9b36"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6HIZE7MGDBPYD2VE5X2LVKCQ7B/bundle.json","state_url":"https://pith.science/pith/6HIZE7MGDBPYD2VE5X2LVKCQ7B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6HIZE7MGDBPYD2VE5X2LVKCQ7B/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":"2026-06-01T15:32:16Z","links":{"resolver":"https://pith.science/pith/6HIZE7MGDBPYD2VE5X2LVKCQ7B","bundle":"https://pith.science/pith/6HIZE7MGDBPYD2VE5X2LVKCQ7B/bundle.json","state":"https://pith.science/pith/6HIZE7MGDBPYD2VE5X2LVKCQ7B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6HIZE7MGDBPYD2VE5X2LVKCQ7B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:6HIZE7MGDBPYD2VE5X2LVKCQ7B","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":"f3e44b294209f0207ff1416c1c9df84ad166569423e750ee30f7e45d099d095d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-09T18:07:04Z","title_canon_sha256":"b3d89454f85e34a2397ea60b3fcdef3ff15addf39ecf8fde3fc5c33f99dd1d57"},"schema_version":"1.0","source":{"id":"1502.02584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02584","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02584v1","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02584","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"6HIZE7MGDBPY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"6HIZE7MGDBPYD2VE","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"6HIZE7MG","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:0fdba85c03e8a19b490941c1f04b61d617368fd3c2940bb6198f0ab91b9f9b36","target":"graph","created_at":"2026-05-18T02:27:41Z","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 prove long time existence and convergence results for the pluriclosed flow, which imply geometric and topological classification theorems for generalized K\\\"ahler structures. Our approach centers on the reduction of pluriclosed flow to a degenerate parabolic equation for a $(1,0)$-form, introduced in \\cite{ST2}. We observe a number of differential inequalities satisfied by this system which lead to a priori $L^{\\infty}$ estimates for the metric along the flow. Moreover we observe an unexpected connection to \"Born-Infeld geometry\" which leads to a sharp differential inequality which can be u","authors_text":"Jeffrey Streets","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-09T18:07:04Z","title":"Pluriclosed flow, Born-Infeld geometry, and rigidity results for generalized K\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02584","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":"sha256:842c340a5ae82dcc80b4c95d97b3044199bed9cb56b3d60b060ed4e6eb611eaa","target":"record","created_at":"2026-05-18T02:27:41Z","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":"f3e44b294209f0207ff1416c1c9df84ad166569423e750ee30f7e45d099d095d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-09T18:07:04Z","title_canon_sha256":"b3d89454f85e34a2397ea60b3fcdef3ff15addf39ecf8fde3fc5c33f99dd1d57"},"schema_version":"1.0","source":{"id":"1502.02584","kind":"arxiv","version":1}},"canonical_sha256":"f1d1927d86185f81eaa4edf4baa850f8521885b0bb1351aa3a01f9e4e6c1605c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f1d1927d86185f81eaa4edf4baa850f8521885b0bb1351aa3a01f9e4e6c1605c","first_computed_at":"2026-05-18T02:27:41.798810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:41.798810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PCrvoLkg9omLqZsiLpS9SW/jF4iLApIulUi017B4i0tZDfjDVkkeN0doZMTzZjxXnGupQngVusKAqybhiyACBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:41.799527Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:842c340a5ae82dcc80b4c95d97b3044199bed9cb56b3d60b060ed4e6eb611eaa","sha256:0fdba85c03e8a19b490941c1f04b61d617368fd3c2940bb6198f0ab91b9f9b36"],"state_sha256":"983f3aa5936f647f7be252918aa630883f8f840707e0f314f5aa403a6e1f61c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tvh5zBwofFJH2typieoFHYZcfBcHstnUrGnXRoKhrN878qa6ZxKGthP6M1KIFWyhJZgpdwfKMWV7LzYHhbzuBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T15:32:16.630068Z","bundle_sha256":"d0277451a22e1622bb71f6fc275ed75d07acbd77f476db1003768d9f06710b72"}}