{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RJ7YWDEY4O35UHGKYO5JIAAXYR","short_pith_number":"pith:RJ7YWDEY","canonical_record":{"source":{"id":"1103.4970","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-03-25T14:03:21Z","cross_cats_sorted":["math.AT","math.DG"],"title_canon_sha256":"72650f93acbebd4eee2155812d4c54e27b548a40dadc952b6f7d6fcddea193f5","abstract_canon_sha256":"3d7c8ba50df7fb2a68a1755f94bb2b9cbc9cfbdee9a8865446f7304474be2d9e"},"schema_version":"1.0"},"canonical_sha256":"8a7f8b0c98e3b7da1ccac3ba940017c47a8062036eae5c8c2171afa5fc1fa1c6","source":{"kind":"arxiv","id":"1103.4970","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4970","created_at":"2026-05-18T03:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4970v2","created_at":"2026-05-18T03:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4970","created_at":"2026-05-18T03:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"RJ7YWDEY4O35","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RJ7YWDEY4O35UHGK","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RJ7YWDEY","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RJ7YWDEY4O35UHGKYO5JIAAXYR","target":"record","payload":{"canonical_record":{"source":{"id":"1103.4970","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-03-25T14:03:21Z","cross_cats_sorted":["math.AT","math.DG"],"title_canon_sha256":"72650f93acbebd4eee2155812d4c54e27b548a40dadc952b6f7d6fcddea193f5","abstract_canon_sha256":"3d7c8ba50df7fb2a68a1755f94bb2b9cbc9cfbdee9a8865446f7304474be2d9e"},"schema_version":"1.0"},"canonical_sha256":"8a7f8b0c98e3b7da1ccac3ba940017c47a8062036eae5c8c2171afa5fc1fa1c6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:25.992082Z","signature_b64":"3frL2n1YirmP2/rf5aa9q5R1UAU6LA/5LOpomvTxQhGBUX+39/EZ/uU58ftUokSPk7BocIUsum18EmGeoy51Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a7f8b0c98e3b7da1ccac3ba940017c47a8062036eae5c8c2171afa5fc1fa1c6","last_reissued_at":"2026-05-18T03:25:25.991517Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:25.991517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.4970","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"02adXHymn/Fi93SbqaKJSvavE3DofwPDIN65/d5OSMVebQ4ORUPT+IiDLdcETJQiG35LFG6DuQj580M82IHZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:17:37.518116Z"},"content_sha256":"b60749d2497870132796472c72e0a02dac59947d08b95fab2b017e9485b12e93","schema_version":"1.0","event_id":"sha256:b60749d2497870132796472c72e0a02dac59947d08b95fab2b017e9485b12e93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RJ7YWDEY4O35UHGKYO5JIAAXYR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG"],"primary_cat":"math.SG","authors_text":"Andrey Mironov, Taras Panov","submitted_at":"2011-03-25T14:03:21Z","abstract_excerpt":"We study the topology of Hamiltonian-minimal Lagrangian submanifolds N in C^m constructed from intersections of real quadrics in a work of the first author. This construction is linked via an embedding criterion to the well-known Delzant construction of Hamiltonian toric manifolds. We establish the following topological properties of N: every N embeds as a submanifold in the corresponding moment-angle manifold Z, and every N is the total space of two different fibrations, one over the torus T^{m-n} with fibre a real moment-angle manifold R, and another over a quotient of R by a finite group wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4970","kind":"arxiv","version":2},"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":"2026-05-18T03:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qIVllkBdAW0k9Sm6xxYD5RYEAL63whJBs8TGfSLT8BnLv16UMHtqy1RAqLDSoHUaXwJZpPczI1+MRUnjssOxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T13:17:37.518471Z"},"content_sha256":"c14390e3aad79096b811c835e1c721e3fe2ccfa5648ef312af86f696be99b543","schema_version":"1.0","event_id":"sha256:c14390e3aad79096b811c835e1c721e3fe2ccfa5648ef312af86f696be99b543"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RJ7YWDEY4O35UHGKYO5JIAAXYR/bundle.json","state_url":"https://pith.science/pith/RJ7YWDEY4O35UHGKYO5JIAAXYR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RJ7YWDEY4O35UHGKYO5JIAAXYR/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":"2026-06-27T13:17:37Z","links":{"resolver":"https://pith.science/pith/RJ7YWDEY4O35UHGKYO5JIAAXYR","bundle":"https://pith.science/pith/RJ7YWDEY4O35UHGKYO5JIAAXYR/bundle.json","state":"https://pith.science/pith/RJ7YWDEY4O35UHGKYO5JIAAXYR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RJ7YWDEY4O35UHGKYO5JIAAXYR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RJ7YWDEY4O35UHGKYO5JIAAXYR","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":"3d7c8ba50df7fb2a68a1755f94bb2b9cbc9cfbdee9a8865446f7304474be2d9e","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-03-25T14:03:21Z","title_canon_sha256":"72650f93acbebd4eee2155812d4c54e27b548a40dadc952b6f7d6fcddea193f5"},"schema_version":"1.0","source":{"id":"1103.4970","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.4970","created_at":"2026-05-18T03:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1103.4970v2","created_at":"2026-05-18T03:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.4970","created_at":"2026-05-18T03:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"RJ7YWDEY4O35","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RJ7YWDEY4O35UHGK","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RJ7YWDEY","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:c14390e3aad79096b811c835e1c721e3fe2ccfa5648ef312af86f696be99b543","target":"graph","created_at":"2026-05-18T03:25:25Z","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 study the topology of Hamiltonian-minimal Lagrangian submanifolds N in C^m constructed from intersections of real quadrics in a work of the first author. This construction is linked via an embedding criterion to the well-known Delzant construction of Hamiltonian toric manifolds. We establish the following topological properties of N: every N embeds as a submanifold in the corresponding moment-angle manifold Z, and every N is the total space of two different fibrations, one over the torus T^{m-n} with fibre a real moment-angle manifold R, and another over a quotient of R by a finite group wi","authors_text":"Andrey Mironov, Taras Panov","cross_cats":["math.AT","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-03-25T14:03:21Z","title":"Intersections of quadrics, moment-angle manifolds, and Hamiltonian-minimal Lagrangian embeddings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.4970","kind":"arxiv","version":2},"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:b60749d2497870132796472c72e0a02dac59947d08b95fab2b017e9485b12e93","target":"record","created_at":"2026-05-18T03:25:25Z","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":"3d7c8ba50df7fb2a68a1755f94bb2b9cbc9cfbdee9a8865446f7304474be2d9e","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2011-03-25T14:03:21Z","title_canon_sha256":"72650f93acbebd4eee2155812d4c54e27b548a40dadc952b6f7d6fcddea193f5"},"schema_version":"1.0","source":{"id":"1103.4970","kind":"arxiv","version":2}},"canonical_sha256":"8a7f8b0c98e3b7da1ccac3ba940017c47a8062036eae5c8c2171afa5fc1fa1c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8a7f8b0c98e3b7da1ccac3ba940017c47a8062036eae5c8c2171afa5fc1fa1c6","first_computed_at":"2026-05-18T03:25:25.991517Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:25.991517Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3frL2n1YirmP2/rf5aa9q5R1UAU6LA/5LOpomvTxQhGBUX+39/EZ/uU58ftUokSPk7BocIUsum18EmGeoy51Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:25.992082Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.4970","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b60749d2497870132796472c72e0a02dac59947d08b95fab2b017e9485b12e93","sha256:c14390e3aad79096b811c835e1c721e3fe2ccfa5648ef312af86f696be99b543"],"state_sha256":"2bffbf9302702473b4bf6f6a7abdea4170d994f27bf1cbd88b238a709de84c8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LarktTGCdf9pjqKcLGO00t1Y4E9s0XQ6vg6LyGkvG2VLUYLxeaFlinbsVimAcU7q2mrr3hihTP3Y/UFpSPGLCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T13:17:37.520303Z","bundle_sha256":"d441e940d2ff9b5250209605e5108115a171409bff5d32ba8b057efb0a5164b2"}}