{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:YYWAWLGE3KEESIVBABWETLEGHI","short_pith_number":"pith:YYWAWLGE","canonical_record":{"source":{"id":"1901.00259","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-02T04:08:49Z","cross_cats_sorted":[],"title_canon_sha256":"9dccd59f8e16bbd9129e837daa0e641958dd7d618a1494f2f04cade6518f5a33","abstract_canon_sha256":"526434ad6ef0250a5ac218825e72312bc1d6943231a46bfb5ea315ff8238be5d"},"schema_version":"1.0"},"canonical_sha256":"c62c0b2cc4da884922a1006c49ac863a19eae34c2bd0a255ea0709e7ee62f770","source":{"kind":"arxiv","id":"1901.00259","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00259","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00259v1","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00259","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"YYWAWLGE3KEE","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YYWAWLGE3KEESIVB","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YYWAWLGE","created_at":"2026-05-18T12:33:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:YYWAWLGE3KEESIVBABWETLEGHI","target":"record","payload":{"canonical_record":{"source":{"id":"1901.00259","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-02T04:08:49Z","cross_cats_sorted":[],"title_canon_sha256":"9dccd59f8e16bbd9129e837daa0e641958dd7d618a1494f2f04cade6518f5a33","abstract_canon_sha256":"526434ad6ef0250a5ac218825e72312bc1d6943231a46bfb5ea315ff8238be5d"},"schema_version":"1.0"},"canonical_sha256":"c62c0b2cc4da884922a1006c49ac863a19eae34c2bd0a255ea0709e7ee62f770","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:06.564100Z","signature_b64":"/C8VDEvew7avPJW2x86ALJQT9yiEoGe+TXyxzRqNXLhk2KiK4aURGmnTnpqS7tdBst2PnhGqKZx+clUsNeRKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c62c0b2cc4da884922a1006c49ac863a19eae34c2bd0a255ea0709e7ee62f770","last_reissued_at":"2026-05-17T23:57:06.563652Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:06.563652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.00259","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":"2026-05-17T23:57:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3uMVFB6jI7jEzZyiWbfoM/s7eHcYnfrIhGRG3saSOF+ShBm0Qlu7X3GVdWh4KlLY0V9nLqcPECHzZyooZjw2Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T00:08:28.356932Z"},"content_sha256":"4a5c8c3547cd95046f3ee26c5c614cfc99cdccf6e2e413879df702c63061bf1c","schema_version":"1.0","event_id":"sha256:4a5c8c3547cd95046f3ee26c5c614cfc99cdccf6e2e413879df702c63061bf1c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:YYWAWLGE3KEESIVBABWETLEGHI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$f$-minimal Lagrangian Submanifolds in K\\\"ahler Manifolds with Real Holomorphy Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Wei-Bo Su","submitted_at":"2019-01-02T04:08:49Z","abstract_excerpt":"The aim of this paper is to study variational properties for $f$-minimal Lagrangian submanifolds in K\\\"ahler manifolds with real holomorphy potentials. Examples of submanifolds of this kind incuding soliton solutions for Lagrangian mean curvature flow (LMCF). We derive second variation formula for $f$-minimal Lagrangians as a generalization of Chen and Oh's formula for minimal Lagrangians. As a corollary, we obtain stability of expanding and translating solitons for LMCF. We also define calibrated submanifolds with respect to $f$-volume in gradient steady K\\\"ahler--Ricci solitons as generaliza"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00259","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":"2026-05-17T23:57:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DjU/CCkSgRPaXGnw20AKrSjGOuAZu6l9V5Hu+1V/TI0WrUl6fDsFqfkCXXCOeRHacG3gKmTr4T58XWAvCRquCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T00:08:28.357279Z"},"content_sha256":"8a4b761f81570a2cf20f4a9cf2bf9d3a442bd842e5a85ba1fac55b5076f4dced","schema_version":"1.0","event_id":"sha256:8a4b761f81570a2cf20f4a9cf2bf9d3a442bd842e5a85ba1fac55b5076f4dced"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YYWAWLGE3KEESIVBABWETLEGHI/bundle.json","state_url":"https://pith.science/pith/YYWAWLGE3KEESIVBABWETLEGHI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YYWAWLGE3KEESIVBABWETLEGHI/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":"2026-07-01T00:08:28Z","links":{"resolver":"https://pith.science/pith/YYWAWLGE3KEESIVBABWETLEGHI","bundle":"https://pith.science/pith/YYWAWLGE3KEESIVBABWETLEGHI/bundle.json","state":"https://pith.science/pith/YYWAWLGE3KEESIVBABWETLEGHI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YYWAWLGE3KEESIVBABWETLEGHI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:YYWAWLGE3KEESIVBABWETLEGHI","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":"526434ad6ef0250a5ac218825e72312bc1d6943231a46bfb5ea315ff8238be5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-02T04:08:49Z","title_canon_sha256":"9dccd59f8e16bbd9129e837daa0e641958dd7d618a1494f2f04cade6518f5a33"},"schema_version":"1.0","source":{"id":"1901.00259","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.00259","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"arxiv_version","alias_value":"1901.00259v1","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.00259","created_at":"2026-05-17T23:57:06Z"},{"alias_kind":"pith_short_12","alias_value":"YYWAWLGE3KEE","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"YYWAWLGE3KEESIVB","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"YYWAWLGE","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:8a4b761f81570a2cf20f4a9cf2bf9d3a442bd842e5a85ba1fac55b5076f4dced","target":"graph","created_at":"2026-05-17T23:57:06Z","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":"The aim of this paper is to study variational properties for $f$-minimal Lagrangian submanifolds in K\\\"ahler manifolds with real holomorphy potentials. Examples of submanifolds of this kind incuding soliton solutions for Lagrangian mean curvature flow (LMCF). We derive second variation formula for $f$-minimal Lagrangians as a generalization of Chen and Oh's formula for minimal Lagrangians. As a corollary, we obtain stability of expanding and translating solitons for LMCF. We also define calibrated submanifolds with respect to $f$-volume in gradient steady K\\\"ahler--Ricci solitons as generaliza","authors_text":"Wei-Bo Su","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-02T04:08:49Z","title":"$f$-minimal Lagrangian Submanifolds in K\\\"ahler Manifolds with Real Holomorphy Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.00259","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":"sha256:4a5c8c3547cd95046f3ee26c5c614cfc99cdccf6e2e413879df702c63061bf1c","target":"record","created_at":"2026-05-17T23:57:06Z","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":"526434ad6ef0250a5ac218825e72312bc1d6943231a46bfb5ea315ff8238be5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2019-01-02T04:08:49Z","title_canon_sha256":"9dccd59f8e16bbd9129e837daa0e641958dd7d618a1494f2f04cade6518f5a33"},"schema_version":"1.0","source":{"id":"1901.00259","kind":"arxiv","version":1}},"canonical_sha256":"c62c0b2cc4da884922a1006c49ac863a19eae34c2bd0a255ea0709e7ee62f770","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c62c0b2cc4da884922a1006c49ac863a19eae34c2bd0a255ea0709e7ee62f770","first_computed_at":"2026-05-17T23:57:06.563652Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:06.563652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/C8VDEvew7avPJW2x86ALJQT9yiEoGe+TXyxzRqNXLhk2KiK4aURGmnTnpqS7tdBst2PnhGqKZx+clUsNeRKAw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:06.564100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.00259","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a5c8c3547cd95046f3ee26c5c614cfc99cdccf6e2e413879df702c63061bf1c","sha256:8a4b761f81570a2cf20f4a9cf2bf9d3a442bd842e5a85ba1fac55b5076f4dced"],"state_sha256":"8767b4f29e575b3d14891f39aeb2ef38c671c412b25c5a5d65bf19b2a070324e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jHQkTTcAbTPFM7s34RKyl8fHj6y4Q5Jqy52eYUUnCut6OcexqxN+YfOf9xESyrn8apZD3Epg2u4rdkm/zsbnCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T00:08:28.359423Z","bundle_sha256":"ee44576e647d4c1a517d2148d067d83b8c2ec629e08f6810449d9c78880ef37e"}}