{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:CEQDUYCTDSXY3P6MSOCB6PKCA3","short_pith_number":"pith:CEQDUYCT","canonical_record":{"source":{"id":"2410.03611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-10-04T17:13:00Z","cross_cats_sorted":["math.AG","math.MP","math.RT","math.SG"],"title_canon_sha256":"6915a9e9c6630987e6487c0e06e29d5ec8fc31a81f241980d6a9ecc8fd82e4fb","abstract_canon_sha256":"d3fc562890da7112a81698c4c024ef8074468244525b95de6df902518cadade6"},"schema_version":"1.0"},"canonical_sha256":"11203a60531caf8dbfcc93841f3d4206fa99a4bd56e2544c654c5561d8805669","source":{"kind":"arxiv","id":"2410.03611","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.03611","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"2410.03611v1","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.03611","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"CEQDUYCTDSXY","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"pith_short_16","alias_value":"CEQDUYCTDSXY3P6M","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"pith_short_8","alias_value":"CEQDUYCT","created_at":"2026-07-05T09:16:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:CEQDUYCTDSXY3P6MSOCB6PKCA3","target":"record","payload":{"canonical_record":{"source":{"id":"2410.03611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-10-04T17:13:00Z","cross_cats_sorted":["math.AG","math.MP","math.RT","math.SG"],"title_canon_sha256":"6915a9e9c6630987e6487c0e06e29d5ec8fc31a81f241980d6a9ecc8fd82e4fb","abstract_canon_sha256":"d3fc562890da7112a81698c4c024ef8074468244525b95de6df902518cadade6"},"schema_version":"1.0"},"canonical_sha256":"11203a60531caf8dbfcc93841f3d4206fa99a4bd56e2544c654c5561d8805669","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:16:03.674947Z","signature_b64":"3BGCnZEEj8KhdcJ8akUKhkvyLgQT1JVm7sNCZuqqte3CoX1SFChzk8fjlF2i90ervL/ll1xP/r9f5FkVaZMlCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"11203a60531caf8dbfcc93841f3d4206fa99a4bd56e2544c654c5561d8805669","last_reissued_at":"2026-07-05T09:16:03.674440Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:16:03.674440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.03611","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":"2026-07-05T09:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FBInWksUJzrN1ga0A2wUZuqZUlYanCaRAgod0WH9LlxAaxBUtKY5LPY05lLMkg4o5A7ZYc9bi/CfubVpvh/WAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T07:31:35.210671Z"},"content_sha256":"4204bdd880c43fbd8f68f46927b42f5e59e114f5986d0c395beee35e599ba2a2","schema_version":"1.0","event_id":"sha256:4204bdd880c43fbd8f68f46927b42f5e59e114f5986d0c395beee35e599ba2a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:CEQDUYCTDSXY3P6MSOCB6PKCA3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"3d Mirror Symmetry is Mirror Symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.MP","math.RT","math.SG"],"primary_cat":"math-ph","authors_text":"Ki Fung Chan, Naichung Conan Leung","submitted_at":"2024-10-04T17:13:00Z","abstract_excerpt":"3d mirror symmetry is a mysterious duality for certian pairs of hyperk\\\"ahler manifolds, or more generally complex symplectic manifolds/stacks. In this paper, we will describe its relationships with 2d mirror symmetry. This could be regarded as a 3d analog of the paper \"Mirror Symmetry is T-Duality\" by Strominger, Yau and Zaslow which described 2d mirror symmetry via 1d dualities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.03611","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2410.03611/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":"2026-07-05T09:16:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QUG7Y4ZbEZDxD0ZleuC8AUlyK2fLO64d/ZFLR8f/7sxwvdIPFa3Lb9Rwwl+2p7bd2aWctuimCC69HiuwdtSDAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T07:31:35.211550Z"},"content_sha256":"9cbb0b81f7e04c431161067588c770842be70c9eaf7efcbba8b5b1ef11ce3bea","schema_version":"1.0","event_id":"sha256:9cbb0b81f7e04c431161067588c770842be70c9eaf7efcbba8b5b1ef11ce3bea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CEQDUYCTDSXY3P6MSOCB6PKCA3/bundle.json","state_url":"https://pith.science/pith/CEQDUYCTDSXY3P6MSOCB6PKCA3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CEQDUYCTDSXY3P6MSOCB6PKCA3/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":"2026-08-12T07:31:35Z","links":{"resolver":"https://pith.science/pith/CEQDUYCTDSXY3P6MSOCB6PKCA3","bundle":"https://pith.science/pith/CEQDUYCTDSXY3P6MSOCB6PKCA3/bundle.json","state":"https://pith.science/pith/CEQDUYCTDSXY3P6MSOCB6PKCA3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CEQDUYCTDSXY3P6MSOCB6PKCA3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:CEQDUYCTDSXY3P6MSOCB6PKCA3","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":"d3fc562890da7112a81698c4c024ef8074468244525b95de6df902518cadade6","cross_cats_sorted":["math.AG","math.MP","math.RT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-10-04T17:13:00Z","title_canon_sha256":"6915a9e9c6630987e6487c0e06e29d5ec8fc31a81f241980d6a9ecc8fd82e4fb"},"schema_version":"1.0","source":{"id":"2410.03611","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.03611","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"arxiv_version","alias_value":"2410.03611v1","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.03611","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"pith_short_12","alias_value":"CEQDUYCTDSXY","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"pith_short_16","alias_value":"CEQDUYCTDSXY3P6M","created_at":"2026-07-05T09:16:03Z"},{"alias_kind":"pith_short_8","alias_value":"CEQDUYCT","created_at":"2026-07-05T09:16:03Z"}],"graph_snapshots":[{"event_id":"sha256:9cbb0b81f7e04c431161067588c770842be70c9eaf7efcbba8b5b1ef11ce3bea","target":"graph","created_at":"2026-07-05T09:16:03Z","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/2410.03611/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"3d mirror symmetry is a mysterious duality for certian pairs of hyperk\\\"ahler manifolds, or more generally complex symplectic manifolds/stacks. In this paper, we will describe its relationships with 2d mirror symmetry. This could be regarded as a 3d analog of the paper \"Mirror Symmetry is T-Duality\" by Strominger, Yau and Zaslow which described 2d mirror symmetry via 1d dualities.","authors_text":"Ki Fung Chan, Naichung Conan Leung","cross_cats":["math.AG","math.MP","math.RT","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-10-04T17:13:00Z","title":"3d Mirror Symmetry is Mirror Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.03611","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":"sha256:4204bdd880c43fbd8f68f46927b42f5e59e114f5986d0c395beee35e599ba2a2","target":"record","created_at":"2026-07-05T09:16:03Z","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":"d3fc562890da7112a81698c4c024ef8074468244525b95de6df902518cadade6","cross_cats_sorted":["math.AG","math.MP","math.RT","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2024-10-04T17:13:00Z","title_canon_sha256":"6915a9e9c6630987e6487c0e06e29d5ec8fc31a81f241980d6a9ecc8fd82e4fb"},"schema_version":"1.0","source":{"id":"2410.03611","kind":"arxiv","version":1}},"canonical_sha256":"11203a60531caf8dbfcc93841f3d4206fa99a4bd56e2544c654c5561d8805669","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"11203a60531caf8dbfcc93841f3d4206fa99a4bd56e2544c654c5561d8805669","first_computed_at":"2026-07-05T09:16:03.674440Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:16:03.674440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3BGCnZEEj8KhdcJ8akUKhkvyLgQT1JVm7sNCZuqqte3CoX1SFChzk8fjlF2i90ervL/ll1xP/r9f5FkVaZMlCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:16:03.674947Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.03611","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4204bdd880c43fbd8f68f46927b42f5e59e114f5986d0c395beee35e599ba2a2","sha256:9cbb0b81f7e04c431161067588c770842be70c9eaf7efcbba8b5b1ef11ce3bea"],"state_sha256":"9e5c127d4bc0d555f8f34fda1e7392d14a46f16d7226c0f9417ff6bb1b0bf59f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0cedqxF8HuNQajSZteDqIIP5xM2Thldnb2VMwgNCW9re8Pi/2NBlfEYwdgN4v9rROuYsgrDjsrIkqRmLYL5CAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T07:31:35.218878Z","bundle_sha256":"febac0c9d6fa1bb02f0492720ec0150281c95195d42286dd4fbc5bcb7932282d"}}