{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:VE7O6CMUZDRXGNM2A7ZSOZGQ4N","short_pith_number":"pith:VE7O6CMU","canonical_record":{"source":{"id":"hep-th/0204251","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-04-29T22:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"3b0944853db91aa00280e25f331d8991229e3ec6fb72bf697289aa054cc53ed8","abstract_canon_sha256":"fdbef624d810d482d142d49b1af6c6be6fc137b6af88224425f226d4eaa55655"},"schema_version":"1.0"},"canonical_sha256":"a93eef0994c8e373359a07f32764d0e351acf892f30920b475ed5f72ed75f0d9","source":{"kind":"arxiv","id":"hep-th/0204251","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0204251","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0204251v1","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0204251","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"VE7O6CMUZDRX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VE7O6CMUZDRXGNM2","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VE7O6CMU","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:VE7O6CMUZDRXGNM2A7ZSOZGQ4N","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0204251","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-04-29T22:57:12Z","cross_cats_sorted":[],"title_canon_sha256":"3b0944853db91aa00280e25f331d8991229e3ec6fb72bf697289aa054cc53ed8","abstract_canon_sha256":"fdbef624d810d482d142d49b1af6c6be6fc137b6af88224425f226d4eaa55655"},"schema_version":"1.0"},"canonical_sha256":"a93eef0994c8e373359a07f32764d0e351acf892f30920b475ed5f72ed75f0d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:05.402924Z","signature_b64":"67t/YZkWp/r9aSE5qX7BGX1h5jeQp82/W7AnT5rccuoplmf+6C9hbeo75if0Z6wHILz8WnK055wOv0TlTrA7Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a93eef0994c8e373359a07f32764d0e351acf892f30920b475ed5f72ed75f0d9","last_reissued_at":"2026-05-18T02:36:05.402252Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:05.402252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0204251","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":"2026-05-18T02:36:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dc3UaHzWJi6C1PTmCycyjhL2CppcfAT9S2TVDNXJXPndyY7LlaGL05Zie8dsqnM4tYjU45WNecuEZbGeY8n1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:11:34.576522Z"},"content_sha256":"ec8ee52518722a77e929d4e6e0a71660854934edd030ed7efac7f1ea5b189562","schema_version":"1.0","event_id":"sha256:ec8ee52518722a77e929d4e6e0a71660854934edd030ed7efac7f1ea5b189562"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:VE7O6CMUZDRXGNM2A7ZSOZGQ4N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the dual equivalence of the self-dual and topologically massive $B\\wedge F$ models coupled to dynamical fermionic matter","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C. Wotzasek, J. R. S. Nascimento, R. F. Ribeiro, R. Menezes","submitted_at":"2002-04-29T22:57:12Z","abstract_excerpt":"We study the equivalence between the $B\\wedge F$ self-dual ($SD_{B\\wedge F}$) and the $B\\wedge F$ topologically massive ($TM_{B\\wedge F}$) models including the coupling to dynamical, U(1) charged fermionic matter. This is done through an iterative procedure of gauge embedding that produces the dual mapping. In the interactive cases, the minimal coupling adopted for both vector and tensor fields in the self-dual representation is transformed into a non minimal magnetic like coupling in the topologically massive representation but with the currents swapped. It is known that to establish this equ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204251","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":""},"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":"2026-05-18T02:36:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mLh4i42sl65WYRFDWyXyy52I/+/hn/n87pDVFFLn+UNDu/g6Fvy8ZVO4XXxNY1vIBUCfleJXJII9lfmMLakLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T10:11:34.576868Z"},"content_sha256":"dddf0dbd01839ba6d8eb84a42e39bbd5970823cfaf9ac3e1d110b391aac1eade","schema_version":"1.0","event_id":"sha256:dddf0dbd01839ba6d8eb84a42e39bbd5970823cfaf9ac3e1d110b391aac1eade"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VE7O6CMUZDRXGNM2A7ZSOZGQ4N/bundle.json","state_url":"https://pith.science/pith/VE7O6CMUZDRXGNM2A7ZSOZGQ4N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VE7O6CMUZDRXGNM2A7ZSOZGQ4N/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":"2026-06-02T10:11:34Z","links":{"resolver":"https://pith.science/pith/VE7O6CMUZDRXGNM2A7ZSOZGQ4N","bundle":"https://pith.science/pith/VE7O6CMUZDRXGNM2A7ZSOZGQ4N/bundle.json","state":"https://pith.science/pith/VE7O6CMUZDRXGNM2A7ZSOZGQ4N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VE7O6CMUZDRXGNM2A7ZSOZGQ4N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:VE7O6CMUZDRXGNM2A7ZSOZGQ4N","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":"fdbef624d810d482d142d49b1af6c6be6fc137b6af88224425f226d4eaa55655","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-04-29T22:57:12Z","title_canon_sha256":"3b0944853db91aa00280e25f331d8991229e3ec6fb72bf697289aa054cc53ed8"},"schema_version":"1.0","source":{"id":"hep-th/0204251","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0204251","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0204251v1","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0204251","created_at":"2026-05-18T02:36:05Z"},{"alias_kind":"pith_short_12","alias_value":"VE7O6CMUZDRX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"VE7O6CMUZDRXGNM2","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"VE7O6CMU","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:dddf0dbd01839ba6d8eb84a42e39bbd5970823cfaf9ac3e1d110b391aac1eade","target":"graph","created_at":"2026-05-18T02:36:05Z","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 equivalence between the $B\\wedge F$ self-dual ($SD_{B\\wedge F}$) and the $B\\wedge F$ topologically massive ($TM_{B\\wedge F}$) models including the coupling to dynamical, U(1) charged fermionic matter. This is done through an iterative procedure of gauge embedding that produces the dual mapping. In the interactive cases, the minimal coupling adopted for both vector and tensor fields in the self-dual representation is transformed into a non minimal magnetic like coupling in the topologically massive representation but with the currents swapped. It is known that to establish this equ","authors_text":"C. Wotzasek, J. R. S. Nascimento, R. F. Ribeiro, R. Menezes","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-04-29T22:57:12Z","title":"On the dual equivalence of the self-dual and topologically massive $B\\wedge F$ models coupled to dynamical fermionic matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0204251","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:ec8ee52518722a77e929d4e6e0a71660854934edd030ed7efac7f1ea5b189562","target":"record","created_at":"2026-05-18T02:36:05Z","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":"fdbef624d810d482d142d49b1af6c6be6fc137b6af88224425f226d4eaa55655","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2002-04-29T22:57:12Z","title_canon_sha256":"3b0944853db91aa00280e25f331d8991229e3ec6fb72bf697289aa054cc53ed8"},"schema_version":"1.0","source":{"id":"hep-th/0204251","kind":"arxiv","version":1}},"canonical_sha256":"a93eef0994c8e373359a07f32764d0e351acf892f30920b475ed5f72ed75f0d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a93eef0994c8e373359a07f32764d0e351acf892f30920b475ed5f72ed75f0d9","first_computed_at":"2026-05-18T02:36:05.402252Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:05.402252Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"67t/YZkWp/r9aSE5qX7BGX1h5jeQp82/W7AnT5rccuoplmf+6C9hbeo75if0Z6wHILz8WnK055wOv0TlTrA7Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:05.402924Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0204251","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec8ee52518722a77e929d4e6e0a71660854934edd030ed7efac7f1ea5b189562","sha256:dddf0dbd01839ba6d8eb84a42e39bbd5970823cfaf9ac3e1d110b391aac1eade"],"state_sha256":"338a24baed25defddb31ad5bb155b35714ad8dcf6804f7a8a55b63cbd6325179"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhQwfk9vJxCjqmKaqiAuIc/9Z/QNwPBnX16MVBBbOFR0vX1+UiIITYziwOTHtFSwG8t9sLnm6ciutmnIBULNBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T10:11:34.578745Z","bundle_sha256":"005f8f5269b9accedbdf946cce0f138a52db19790d310638540153cd35b9b98e"}}