{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:BTOPROWTGNAA5QP7UIWUT36X3O","short_pith_number":"pith:BTOPROWT","canonical_record":{"source":{"id":"0905.1179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T06:29:36Z","cross_cats_sorted":[],"title_canon_sha256":"4f7e745207b42013c698d04388a44183454a298b5eac4413423c7d38d3573dcc","abstract_canon_sha256":"bfa5e896b03a7c67c121ee71e6bf3c7c989a92312274697dcbecd0edc5f2d167"},"schema_version":"1.0"},"canonical_sha256":"0cdcf8bad333400ec1ffa22d49efd7dbb221a67776fbb0b4831dc93238c5adf1","source":{"kind":"arxiv","id":"0905.1179","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1179","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1179v1","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1179","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"BTOPROWTGNAA","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"pith_short_16","alias_value":"BTOPROWTGNAA5QP7","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"pith_short_8","alias_value":"BTOPROWT","created_at":"2026-07-04T17:22:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:BTOPROWTGNAA5QP7UIWUT36X3O","target":"record","payload":{"canonical_record":{"source":{"id":"0905.1179","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T06:29:36Z","cross_cats_sorted":[],"title_canon_sha256":"4f7e745207b42013c698d04388a44183454a298b5eac4413423c7d38d3573dcc","abstract_canon_sha256":"bfa5e896b03a7c67c121ee71e6bf3c7c989a92312274697dcbecd0edc5f2d167"},"schema_version":"1.0"},"canonical_sha256":"0cdcf8bad333400ec1ffa22d49efd7dbb221a67776fbb0b4831dc93238c5adf1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:22:13.224371Z","signature_b64":"vO4NnPCpl9n6FeRMVJUWQel4czbpNqdyuiZsGaj9EcZ/4ffJmfNk7iiT5O0vkdx5v+I6fFcmPpNv1EEV+TDwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0cdcf8bad333400ec1ffa22d49efd7dbb221a67776fbb0b4831dc93238c5adf1","last_reissued_at":"2026-07-04T17:22:13.223967Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:22:13.223967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.1179","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":"2026-07-04T17:22:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lLdKJ060/aTSdpo9oC5NpQGwQ8ccbCciiI/PtxOMEtbe39HyVjBD7IKLVeyOGKtvZMZfLwMP+tCrViQjYadBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T04:57:19.552546Z"},"content_sha256":"989ac29d499ae254b874027a22e22442cb34bd1f9dae8415d7a4f875e1569f99","schema_version":"1.0","event_id":"sha256:989ac29d499ae254b874027a22e22442cb34bd1f9dae8415d7a4f875e1569f99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:BTOPROWTGNAA5QP7UIWUT36X3O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-dimensional N=4 superconformal superfield theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"B.M. Zupnik","submitted_at":"2009-05-08T06:29:36Z","abstract_excerpt":"The mirror map in the D=3, N=4 supersymmetry connects the left and right SU(2) automorphism groups and also the superfield representations of the corresponding N=4 supermultiplets. The mirror N=4 harmonic superspaces use the harmonics of two SU(2) groups and two types of the Grassmann analyticity. The irreducible left and right N=4 supermultiplets are defined in these harmonic superspaces. We analyze the N=4 superconformal interactions of the gauge and matter superfields and the spontaneous breakdown of the superconformal symmetry. The most interesting superconformal action possesses the mirro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1179","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/0905.1179/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":"2026-07-04T17:22:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WGKoRiUam1ji0EN5Z9k0FfM2C9Q4Uzl8BEYPnA0ExJCJGb9aLV2rRTl4cn8Osr1LK/DZi4MozSdbTmxzm201Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T04:57:19.553247Z"},"content_sha256":"d190e357fa85e833361a297e3e82a7e5ca958577f7428597ffcd63c5edb66d8e","schema_version":"1.0","event_id":"sha256:d190e357fa85e833361a297e3e82a7e5ca958577f7428597ffcd63c5edb66d8e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BTOPROWTGNAA5QP7UIWUT36X3O/bundle.json","state_url":"https://pith.science/pith/BTOPROWTGNAA5QP7UIWUT36X3O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BTOPROWTGNAA5QP7UIWUT36X3O/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":"2026-08-17T04:57:19Z","links":{"resolver":"https://pith.science/pith/BTOPROWTGNAA5QP7UIWUT36X3O","bundle":"https://pith.science/pith/BTOPROWTGNAA5QP7UIWUT36X3O/bundle.json","state":"https://pith.science/pith/BTOPROWTGNAA5QP7UIWUT36X3O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BTOPROWTGNAA5QP7UIWUT36X3O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:BTOPROWTGNAA5QP7UIWUT36X3O","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":"bfa5e896b03a7c67c121ee71e6bf3c7c989a92312274697dcbecd0edc5f2d167","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T06:29:36Z","title_canon_sha256":"4f7e745207b42013c698d04388a44183454a298b5eac4413423c7d38d3573dcc"},"schema_version":"1.0","source":{"id":"0905.1179","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1179","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1179v1","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1179","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"pith_short_12","alias_value":"BTOPROWTGNAA","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"pith_short_16","alias_value":"BTOPROWTGNAA5QP7","created_at":"2026-07-04T17:22:13Z"},{"alias_kind":"pith_short_8","alias_value":"BTOPROWT","created_at":"2026-07-04T17:22:13Z"}],"graph_snapshots":[{"event_id":"sha256:d190e357fa85e833361a297e3e82a7e5ca958577f7428597ffcd63c5edb66d8e","target":"graph","created_at":"2026-07-04T17:22:13Z","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/0905.1179/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The mirror map in the D=3, N=4 supersymmetry connects the left and right SU(2) automorphism groups and also the superfield representations of the corresponding N=4 supermultiplets. The mirror N=4 harmonic superspaces use the harmonics of two SU(2) groups and two types of the Grassmann analyticity. The irreducible left and right N=4 supermultiplets are defined in these harmonic superspaces. We analyze the N=4 superconformal interactions of the gauge and matter superfields and the spontaneous breakdown of the superconformal symmetry. The most interesting superconformal action possesses the mirro","authors_text":"B.M. Zupnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T06:29:36Z","title":"Three-dimensional N=4 superconformal superfield theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1179","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":"sha256:989ac29d499ae254b874027a22e22442cb34bd1f9dae8415d7a4f875e1569f99","target":"record","created_at":"2026-07-04T17:22:13Z","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":"bfa5e896b03a7c67c121ee71e6bf3c7c989a92312274697dcbecd0edc5f2d167","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-08T06:29:36Z","title_canon_sha256":"4f7e745207b42013c698d04388a44183454a298b5eac4413423c7d38d3573dcc"},"schema_version":"1.0","source":{"id":"0905.1179","kind":"arxiv","version":1}},"canonical_sha256":"0cdcf8bad333400ec1ffa22d49efd7dbb221a67776fbb0b4831dc93238c5adf1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cdcf8bad333400ec1ffa22d49efd7dbb221a67776fbb0b4831dc93238c5adf1","first_computed_at":"2026-07-04T17:22:13.223967Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:22:13.223967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vO4NnPCpl9n6FeRMVJUWQel4czbpNqdyuiZsGaj9EcZ/4ffJmfNk7iiT5O0vkdx5v+I6fFcmPpNv1EEV+TDwBg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:22:13.224371Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.1179","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:989ac29d499ae254b874027a22e22442cb34bd1f9dae8415d7a4f875e1569f99","sha256:d190e357fa85e833361a297e3e82a7e5ca958577f7428597ffcd63c5edb66d8e"],"state_sha256":"b8c777c5d936d801624c5e85f123f2a0ec80afba20e7b2c030b56f9b9abdac3e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXb8B//098DONq6lj/ecbqDu9Yq/od/LIMtQcD6ZZkAaKitOEGuJKy2lPiYxr4nvIcMoTaGfkEKQNc4Rx2WPDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T04:57:19.595586Z","bundle_sha256":"b35d7c27dff6074147d13bc10f42472ad3f3ef8ea13866d0e7a7e28692502690"}}