{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XUUQFOOVOH5QIEYY4CICGBI7DT","short_pith_number":"pith:XUUQFOOV","canonical_record":{"source":{"id":"1306.4667","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-19T19:58:45Z","cross_cats_sorted":[],"title_canon_sha256":"026fd489689c56dbdace69f8f6c4dcdc640c2b99ba276382b7b6d0ecf34345cd","abstract_canon_sha256":"8336988f9d49c9782924d642854b5765840199dc39424c95c4f3a1a8540eafd9"},"schema_version":"1.0"},"canonical_sha256":"bd2902b9d571fb041318e09023051f1ccdb73450cad6a96cd067e06e572392e2","source":{"kind":"arxiv","id":"1306.4667","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4667","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4667v5","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4667","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"XUUQFOOVOH5Q","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XUUQFOOVOH5QIEYY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XUUQFOOV","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XUUQFOOVOH5QIEYY4CICGBI7DT","target":"record","payload":{"canonical_record":{"source":{"id":"1306.4667","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-19T19:58:45Z","cross_cats_sorted":[],"title_canon_sha256":"026fd489689c56dbdace69f8f6c4dcdc640c2b99ba276382b7b6d0ecf34345cd","abstract_canon_sha256":"8336988f9d49c9782924d642854b5765840199dc39424c95c4f3a1a8540eafd9"},"schema_version":"1.0"},"canonical_sha256":"bd2902b9d571fb041318e09023051f1ccdb73450cad6a96cd067e06e572392e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:14.676000Z","signature_b64":"1wMNbP9yomgZ0Ipwuy539n6G9hWCFDWihsuboZhLM6CAy9/ym1yXDJ+zQt9oYfctpjNIJ/Q2SUPhB0Uz+EM4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd2902b9d571fb041318e09023051f1ccdb73450cad6a96cd067e06e572392e2","last_reissued_at":"2026-05-18T01:49:14.675425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:14.675425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.4667","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"75XVIGhnVnlObCAJ7Ml8DW0D9koT6pZeeJ3j0GDdICbspMeYq7c6ppON5A7maLCzdDbkptvJNdfN3kLG/S/gDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:26:41.338007Z"},"content_sha256":"e3b573bab0a3a5066b2bac611dc5fafdf384c978e178f7528ef71b15ecf5b034","schema_version":"1.0","event_id":"sha256:e3b573bab0a3a5066b2bac611dc5fafdf384c978e178f7528ef71b15ecf5b034"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XUUQFOOVOH5QIEYY4CICGBI7DT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Lagrangian caps and non-uniruled Lagrangian submanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Georgios Dimitroglou Rizell","submitted_at":"2013-06-19T19:58:45Z","abstract_excerpt":"We make the elementary observation that the Lagrangian submanifolds of $\\mathbb{C}^n$, for each $n \\ge 3$, constructed by Ekholm, Eliashberg, Murphy and Smith are non-uniruled and moreover have infinite relative Gromov width. The construction of these submanifolds use exact Lagrangian caps, which obviously are non-uniruled in themselves. This property is also used to show that if a Legendrian submanifold inside a 1-jet space admits an exact Lagrangian cap then its Legendrian contact homology DGA is acyclic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4667","kind":"arxiv","version":5},"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":"2026-05-18T01:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AqRndrP5BW+2d2BcCtiSYD7IgRnOahNfvTXVTfGelh2m5cVwuVJWSFkxAs9QwWxJ0DiNlm8YZNzRyKwzcynvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T02:26:41.338891Z"},"content_sha256":"1be72f6de87fa273f3548882e3cf8bc16a82b0f2207f3e7c09711bd9f9c239a0","schema_version":"1.0","event_id":"sha256:1be72f6de87fa273f3548882e3cf8bc16a82b0f2207f3e7c09711bd9f9c239a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUUQFOOVOH5QIEYY4CICGBI7DT/bundle.json","state_url":"https://pith.science/pith/XUUQFOOVOH5QIEYY4CICGBI7DT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUUQFOOVOH5QIEYY4CICGBI7DT/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":"2026-06-12T02:26:41Z","links":{"resolver":"https://pith.science/pith/XUUQFOOVOH5QIEYY4CICGBI7DT","bundle":"https://pith.science/pith/XUUQFOOVOH5QIEYY4CICGBI7DT/bundle.json","state":"https://pith.science/pith/XUUQFOOVOH5QIEYY4CICGBI7DT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUUQFOOVOH5QIEYY4CICGBI7DT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XUUQFOOVOH5QIEYY4CICGBI7DT","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":"8336988f9d49c9782924d642854b5765840199dc39424c95c4f3a1a8540eafd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-19T19:58:45Z","title_canon_sha256":"026fd489689c56dbdace69f8f6c4dcdc640c2b99ba276382b7b6d0ecf34345cd"},"schema_version":"1.0","source":{"id":"1306.4667","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.4667","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1306.4667v5","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.4667","created_at":"2026-05-18T01:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"XUUQFOOVOH5Q","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XUUQFOOVOH5QIEYY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XUUQFOOV","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:1be72f6de87fa273f3548882e3cf8bc16a82b0f2207f3e7c09711bd9f9c239a0","target":"graph","created_at":"2026-05-18T01:49:14Z","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 make the elementary observation that the Lagrangian submanifolds of $\\mathbb{C}^n$, for each $n \\ge 3$, constructed by Ekholm, Eliashberg, Murphy and Smith are non-uniruled and moreover have infinite relative Gromov width. The construction of these submanifolds use exact Lagrangian caps, which obviously are non-uniruled in themselves. This property is also used to show that if a Legendrian submanifold inside a 1-jet space admits an exact Lagrangian cap then its Legendrian contact homology DGA is acyclic.","authors_text":"Georgios Dimitroglou Rizell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-19T19:58:45Z","title":"Exact Lagrangian caps and non-uniruled Lagrangian submanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.4667","kind":"arxiv","version":5},"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:e3b573bab0a3a5066b2bac611dc5fafdf384c978e178f7528ef71b15ecf5b034","target":"record","created_at":"2026-05-18T01:49:14Z","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":"8336988f9d49c9782924d642854b5765840199dc39424c95c4f3a1a8540eafd9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-06-19T19:58:45Z","title_canon_sha256":"026fd489689c56dbdace69f8f6c4dcdc640c2b99ba276382b7b6d0ecf34345cd"},"schema_version":"1.0","source":{"id":"1306.4667","kind":"arxiv","version":5}},"canonical_sha256":"bd2902b9d571fb041318e09023051f1ccdb73450cad6a96cd067e06e572392e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd2902b9d571fb041318e09023051f1ccdb73450cad6a96cd067e06e572392e2","first_computed_at":"2026-05-18T01:49:14.675425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:14.675425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1wMNbP9yomgZ0Ipwuy539n6G9hWCFDWihsuboZhLM6CAy9/ym1yXDJ+zQt9oYfctpjNIJ/Q2SUPhB0Uz+EM4Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:14.676000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.4667","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3b573bab0a3a5066b2bac611dc5fafdf384c978e178f7528ef71b15ecf5b034","sha256:1be72f6de87fa273f3548882e3cf8bc16a82b0f2207f3e7c09711bd9f9c239a0"],"state_sha256":"e733c7ed0f99733d12efcc54c9f8d151563149f81d23ca729512f51d770f4424"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f92IjjV4yhIJsBPLwR41VaC6srJnlZNNen6VZVs277V5qEHWsL35Xp+57RLv2R4qvew7EoMJdR75fv0HfOJOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T02:26:41.343308Z","bundle_sha256":"de101a447acd2b3425141efab3edf150667f95c9052d918ec2aa17ce53fcff84"}}