{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:64TJDKQ66MBBOU5HEUQJTIAPF4","short_pith_number":"pith:64TJDKQ6","canonical_record":{"source":{"id":"2503.09967","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-13T02:14:04Z","cross_cats_sorted":[],"title_canon_sha256":"dbf2fb9e912148dd617dedf176056e4e2b48357c21ef50659cee76a5a087e967","abstract_canon_sha256":"6b541b6829b0c976bdbc0563ce99ef25b6f866cb57667c0fd15df34ce406f026"},"schema_version":"1.0"},"canonical_sha256":"f72691aa1ef3021753a7252099a00f2f2b244c6558eb98e77538829d02043a3c","source":{"kind":"arxiv","id":"2503.09967","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.09967","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"arxiv_version","alias_value":"2503.09967v4","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.09967","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"pith_short_12","alias_value":"64TJDKQ66MBB","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"64TJDKQ66MBBOU5H","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"64TJDKQ6","created_at":"2026-07-05T11:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:64TJDKQ66MBBOU5HEUQJTIAPF4","target":"record","payload":{"canonical_record":{"source":{"id":"2503.09967","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-13T02:14:04Z","cross_cats_sorted":[],"title_canon_sha256":"dbf2fb9e912148dd617dedf176056e4e2b48357c21ef50659cee76a5a087e967","abstract_canon_sha256":"6b541b6829b0c976bdbc0563ce99ef25b6f866cb57667c0fd15df34ce406f026"},"schema_version":"1.0"},"canonical_sha256":"f72691aa1ef3021753a7252099a00f2f2b244c6558eb98e77538829d02043a3c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:26:26.897262Z","signature_b64":"axDpg9uGvy7F48Zkf22sLJK2od/0rOJzNtWkHxnfPtTmMr+jSSz2WV3cSItbAD8sran/3MkbLClEojvivpljCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f72691aa1ef3021753a7252099a00f2f2b244c6558eb98e77538829d02043a3c","last_reissued_at":"2026-07-05T11:26:26.896620Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:26:26.896620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.09967","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:26:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"akdOgj0q+7pIuWM0PYV2gIEOaEUdpnQogSmpiMx3aNqhc6vP7xhzAcUfymLDlB4ydmVdPobDXx1XKp8DF7xpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T20:10:08.567096Z"},"content_sha256":"c3f8d51acdc5321428779bd1bfc6d059600798cb379905af5b7b75b47ecd2976","schema_version":"1.0","event_id":"sha256:c3f8d51acdc5321428779bd1bfc6d059600798cb379905af5b7b75b47ecd2976"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:64TJDKQ66MBBOU5HEUQJTIAPF4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher Form and Higher Group Symmetries via Mirror Symmetry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jiahua Tian, Xin Wang","submitted_at":"2025-03-13T02:14:04Z","abstract_excerpt":"In this work we uncover a connection that relates the 1-form and the 2-group symmetries of 5D SCFTs derived from geometric engineering methods to monodromies of the corresponding B-models via mirror symmetry. Viewing defects as branes wrapping relative cycles in a non-compact CY3, we find that the defect groups can be read off from the VEVs of the corresponding line operators at the leading order. Via mirror map, we find that both the 1-form and the 2-group symmetries of the SCFT are related to the monodromy at the large radius point in the B-model. Additionally, we recursively obtain closed-f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.09967","kind":"arxiv","version":4},"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/2503.09967/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":"2026-07-05T11:26:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wqr3ojjfSxrPry5iTJ9juBjuFWQWGobreUbpx6QRNoum0EXbNYrK/3+W/wnJvCoFX6juW5zrp6Ym3uLEpGrwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T20:10:08.567606Z"},"content_sha256":"8baf358a6361ccf06fa9a906b3390e54dd083fc32862c7fbab8fcfe3ed31e771","schema_version":"1.0","event_id":"sha256:8baf358a6361ccf06fa9a906b3390e54dd083fc32862c7fbab8fcfe3ed31e771"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/64TJDKQ66MBBOU5HEUQJTIAPF4/bundle.json","state_url":"https://pith.science/pith/64TJDKQ66MBBOU5HEUQJTIAPF4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/64TJDKQ66MBBOU5HEUQJTIAPF4/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":"2026-08-03T20:10:08Z","links":{"resolver":"https://pith.science/pith/64TJDKQ66MBBOU5HEUQJTIAPF4","bundle":"https://pith.science/pith/64TJDKQ66MBBOU5HEUQJTIAPF4/bundle.json","state":"https://pith.science/pith/64TJDKQ66MBBOU5HEUQJTIAPF4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/64TJDKQ66MBBOU5HEUQJTIAPF4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:64TJDKQ66MBBOU5HEUQJTIAPF4","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":"6b541b6829b0c976bdbc0563ce99ef25b6f866cb57667c0fd15df34ce406f026","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-13T02:14:04Z","title_canon_sha256":"dbf2fb9e912148dd617dedf176056e4e2b48357c21ef50659cee76a5a087e967"},"schema_version":"1.0","source":{"id":"2503.09967","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.09967","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"arxiv_version","alias_value":"2503.09967v4","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.09967","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"pith_short_12","alias_value":"64TJDKQ66MBB","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"64TJDKQ66MBBOU5H","created_at":"2026-07-05T11:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"64TJDKQ6","created_at":"2026-07-05T11:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:8baf358a6361ccf06fa9a906b3390e54dd083fc32862c7fbab8fcfe3ed31e771","target":"graph","created_at":"2026-07-05T11:26:26Z","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/2503.09967/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we uncover a connection that relates the 1-form and the 2-group symmetries of 5D SCFTs derived from geometric engineering methods to monodromies of the corresponding B-models via mirror symmetry. Viewing defects as branes wrapping relative cycles in a non-compact CY3, we find that the defect groups can be read off from the VEVs of the corresponding line operators at the leading order. Via mirror map, we find that both the 1-form and the 2-group symmetries of the SCFT are related to the monodromy at the large radius point in the B-model. Additionally, we recursively obtain closed-f","authors_text":"Jiahua Tian, Xin Wang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-13T02:14:04Z","title":"Higher Form and Higher Group Symmetries via Mirror Symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.09967","kind":"arxiv","version":4},"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:c3f8d51acdc5321428779bd1bfc6d059600798cb379905af5b7b75b47ecd2976","target":"record","created_at":"2026-07-05T11:26:26Z","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":"6b541b6829b0c976bdbc0563ce99ef25b6f866cb57667c0fd15df34ce406f026","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-03-13T02:14:04Z","title_canon_sha256":"dbf2fb9e912148dd617dedf176056e4e2b48357c21ef50659cee76a5a087e967"},"schema_version":"1.0","source":{"id":"2503.09967","kind":"arxiv","version":4}},"canonical_sha256":"f72691aa1ef3021753a7252099a00f2f2b244c6558eb98e77538829d02043a3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f72691aa1ef3021753a7252099a00f2f2b244c6558eb98e77538829d02043a3c","first_computed_at":"2026-07-05T11:26:26.896620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:26:26.896620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"axDpg9uGvy7F48Zkf22sLJK2od/0rOJzNtWkHxnfPtTmMr+jSSz2WV3cSItbAD8sran/3MkbLClEojvivpljCA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:26:26.897262Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.09967","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3f8d51acdc5321428779bd1bfc6d059600798cb379905af5b7b75b47ecd2976","sha256:8baf358a6361ccf06fa9a906b3390e54dd083fc32862c7fbab8fcfe3ed31e771"],"state_sha256":"ce4862d2a84ff42563930995b4baf63fa6bd4109647888a75a286dfafa20e10c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sd+CcjXxk7W2M4HfVfpjFwrlLua3wJJD4anyEgJwovuLS2oW49VTpyspurWj8FIVSY+AZ1HO139hMitdgc5YCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T20:10:08.570935Z","bundle_sha256":"c178e7d253b3022f798278ea7bc300a9e1795f6460c7ca4fef365dbc9ce6670b"}}