{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HEOGSHP7VXYX5RH5ZPHDVXW5IY","short_pith_number":"pith:HEOGSHP7","canonical_record":{"source":{"id":"1306.5520","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-24T07:07:29Z","cross_cats_sorted":[],"title_canon_sha256":"aa2e09a03eb7fc9b2902de24bb504851d792d8b1fafafc8ddf8ff6e9aba088ea","abstract_canon_sha256":"cde1c02d102547db30f7bfa18f2be14eb9f70ddd707db621de12a450e26a812b"},"schema_version":"1.0"},"canonical_sha256":"391c691dffadf17ec4fdcbce3adedd462d3df952d6b5063ff6d38f97158d075b","source":{"kind":"arxiv","id":"1306.5520","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5520","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5520v2","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5520","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"HEOGSHP7VXYX","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HEOGSHP7VXYX5RH5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HEOGSHP7","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HEOGSHP7VXYX5RH5ZPHDVXW5IY","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5520","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-24T07:07:29Z","cross_cats_sorted":[],"title_canon_sha256":"aa2e09a03eb7fc9b2902de24bb504851d792d8b1fafafc8ddf8ff6e9aba088ea","abstract_canon_sha256":"cde1c02d102547db30f7bfa18f2be14eb9f70ddd707db621de12a450e26a812b"},"schema_version":"1.0"},"canonical_sha256":"391c691dffadf17ec4fdcbce3adedd462d3df952d6b5063ff6d38f97158d075b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:08.869245Z","signature_b64":"b91uPLlXyR/kFVjMk1W6gqldW+nVSRviZo7LMlzueKgtZP4GffS4lhSY6gHyQz7C4ghK6a8cATYsGLt4hewxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"391c691dffadf17ec4fdcbce3adedd462d3df952d6b5063ff6d38f97158d075b","last_reissued_at":"2026-05-18T01:49:08.868620Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:08.868620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5520","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":"2026-05-18T01:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E+XAS5OXEymvOfyf1cQABCQKueHrAobxjfFPUYprdydwLX1EgQLueXhXeBCl8eBydiJSaz4ltFR42awCHZgdBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:15:04.740550Z"},"content_sha256":"6931a3dd80b0452011889424be4ad7d72f2019a74581896d2314ec93cfa530eb","schema_version":"1.0","event_id":"sha256:6931a3dd80b0452011889424be4ad7d72f2019a74581896d2314ec93cfa530eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HEOGSHP7VXYX5RH5ZPHDVXW5IY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Duality-symmetric Action for Electromagnetic Theory with Electric and Magnetic Sources","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Choonkyu Lee, Hyunsoo Min","submitted_at":"2013-06-24T07:07:29Z","abstract_excerpt":"For the SL(2,\\textbf{R}) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials $A^\\mu$ and $B^\\mu$ in a judicious way. On the two potentials $A^\\mu$ and $B^\\mu$ the SL(2,\\textbf{R}) duality transformation acts in a simple linear manner. In quantum theory including charged source fields, this action can be recast as a SL(2,\\textbf{Z})-invariant action. Also given is a Zwanziger-type action for SL(2,\\textbf{R}) duality-inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5520","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":"2026-05-18T01:49:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hpKbFZ/fXDUinJUp6sY8R0z1E9cHCagEx8v1e//a8trBl4hVtYLYOL5wdFp9zTLw/U/85t8Spc8Ea/yBJqc1Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:15:04.740885Z"},"content_sha256":"07beb85097fd1920de1261349a0433146d9cf8e0a4cb8ffd92631308b038a016","schema_version":"1.0","event_id":"sha256:07beb85097fd1920de1261349a0433146d9cf8e0a4cb8ffd92631308b038a016"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HEOGSHP7VXYX5RH5ZPHDVXW5IY/bundle.json","state_url":"https://pith.science/pith/HEOGSHP7VXYX5RH5ZPHDVXW5IY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HEOGSHP7VXYX5RH5ZPHDVXW5IY/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":"2026-06-27T19:15:04Z","links":{"resolver":"https://pith.science/pith/HEOGSHP7VXYX5RH5ZPHDVXW5IY","bundle":"https://pith.science/pith/HEOGSHP7VXYX5RH5ZPHDVXW5IY/bundle.json","state":"https://pith.science/pith/HEOGSHP7VXYX5RH5ZPHDVXW5IY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HEOGSHP7VXYX5RH5ZPHDVXW5IY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HEOGSHP7VXYX5RH5ZPHDVXW5IY","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":"cde1c02d102547db30f7bfa18f2be14eb9f70ddd707db621de12a450e26a812b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-24T07:07:29Z","title_canon_sha256":"aa2e09a03eb7fc9b2902de24bb504851d792d8b1fafafc8ddf8ff6e9aba088ea"},"schema_version":"1.0","source":{"id":"1306.5520","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5520","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5520v2","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5520","created_at":"2026-05-18T01:49:08Z"},{"alias_kind":"pith_short_12","alias_value":"HEOGSHP7VXYX","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HEOGSHP7VXYX5RH5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HEOGSHP7","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:07beb85097fd1920de1261349a0433146d9cf8e0a4cb8ffd92631308b038a016","target":"graph","created_at":"2026-05-18T01:49:08Z","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":"For the SL(2,\\textbf{R}) duality-invariant generalization of Maxwell electrodynamics in the presence of both electric and magnetic sources, we formulate a local, manifestly duality-symmetric, Zwanziger-type action by introducing a pair of four-potentials $A^\\mu$ and $B^\\mu$ in a judicious way. On the two potentials $A^\\mu$ and $B^\\mu$ the SL(2,\\textbf{R}) duality transformation acts in a simple linear manner. In quantum theory including charged source fields, this action can be recast as a SL(2,\\textbf{Z})-invariant action. Also given is a Zwanziger-type action for SL(2,\\textbf{R}) duality-inv","authors_text":"Choonkyu Lee, Hyunsoo Min","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-24T07:07:29Z","title":"Duality-symmetric Action for Electromagnetic Theory with Electric and Magnetic Sources"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5520","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":"sha256:6931a3dd80b0452011889424be4ad7d72f2019a74581896d2314ec93cfa530eb","target":"record","created_at":"2026-05-18T01:49:08Z","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":"cde1c02d102547db30f7bfa18f2be14eb9f70ddd707db621de12a450e26a812b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-06-24T07:07:29Z","title_canon_sha256":"aa2e09a03eb7fc9b2902de24bb504851d792d8b1fafafc8ddf8ff6e9aba088ea"},"schema_version":"1.0","source":{"id":"1306.5520","kind":"arxiv","version":2}},"canonical_sha256":"391c691dffadf17ec4fdcbce3adedd462d3df952d6b5063ff6d38f97158d075b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"391c691dffadf17ec4fdcbce3adedd462d3df952d6b5063ff6d38f97158d075b","first_computed_at":"2026-05-18T01:49:08.868620Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:08.868620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b91uPLlXyR/kFVjMk1W6gqldW+nVSRviZo7LMlzueKgtZP4GffS4lhSY6gHyQz7C4ghK6a8cATYsGLt4hewxDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:08.869245Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5520","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6931a3dd80b0452011889424be4ad7d72f2019a74581896d2314ec93cfa530eb","sha256:07beb85097fd1920de1261349a0433146d9cf8e0a4cb8ffd92631308b038a016"],"state_sha256":"87047f3601b6f6930cd14d6882c1bb439966a4de98c18d83e115b91adfce35d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c9MNn+N8PV3GhrBac0iyEbt4XKFZq/NAOvBr5hNFrbUFIHBeZm1igNa2rJ9qNsLv3deQ46JwWVY/ZFH8IWYtBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T19:15:04.742683Z","bundle_sha256":"c5f207ed549ad1d6f68e51943bf2843a7391ab9724656d1eefbbfc4980e3ee3f"}}