{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:ZQYGQO25NB6OTAT7JNY4FMDPMX","short_pith_number":"pith:ZQYGQO25","canonical_record":{"source":{"id":"1302.4737","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-19T20:54:24Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c9363217613b504258e50cd6b81d2ac5fe03ac1e9defea435c504766d9d375d5","abstract_canon_sha256":"7c507c52313c945edcc0547eb94a1f79a79de9754eeaaa825ef084f136a3d249"},"schema_version":"1.0"},"canonical_sha256":"cc30683b5d687ce9827f4b71c2b06f65dbddb1216f4f2835d1009a5e0379c618","source":{"kind":"arxiv","id":"1302.4737","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4737","created_at":"2026-05-18T01:51:35Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4737v2","created_at":"2026-05-18T01:51:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4737","created_at":"2026-05-18T01:51:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZQYGQO25NB6O","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZQYGQO25NB6OTAT7","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZQYGQO25","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:ZQYGQO25NB6OTAT7JNY4FMDPMX","target":"record","payload":{"canonical_record":{"source":{"id":"1302.4737","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-19T20:54:24Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"c9363217613b504258e50cd6b81d2ac5fe03ac1e9defea435c504766d9d375d5","abstract_canon_sha256":"7c507c52313c945edcc0547eb94a1f79a79de9754eeaaa825ef084f136a3d249"},"schema_version":"1.0"},"canonical_sha256":"cc30683b5d687ce9827f4b71c2b06f65dbddb1216f4f2835d1009a5e0379c618","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:35.193156Z","signature_b64":"ahM/qQaSqZ42uuKIc9WZ9jrk1UAXwZx7UBLB0xjuG+E/WvBM2CdK0rw2m/ZdEeK9ZIWIHRsggDu1HM9CVLhVBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc30683b5d687ce9827f4b71c2b06f65dbddb1216f4f2835d1009a5e0379c618","last_reissued_at":"2026-05-18T01:51:35.192738Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:35.192738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.4737","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":"2026-05-18T01:51:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Cujry43VkqVo9cmP3QI6h0D3PXpbCC7XS4g7wFZUt0jsjcB60+CEq49DhgmMv8nKmRui3OAf5y45ykZyiMlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:36:50.702585Z"},"content_sha256":"fda9f98c2a66370b67cc1077234cc4df2f97422aef7db1859ccd9e6b15209025","schema_version":"1.0","event_id":"sha256:fda9f98c2a66370b67cc1077234cc4df2f97422aef7db1859ccd9e6b15209025"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:ZQYGQO25NB6OTAT7JNY4FMDPMX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Paolo Aschieri, Sergio Ferrara","submitted_at":"2013-02-19T20:54:24Z","abstract_excerpt":"We present a systematic study of nonlinear and higher derivatives extensions of electromagnetism. We clarify when action functionals S[F] can be explicitly obtained from arbitrary (not necessarily self-dual) nonlinear equations of motion. We show that the \"Deformed twisted self-duality condition\" proposal originated in the context of supergravity counterterms is actually the general framework needed to discuss self-dual theories starting from a variational principle.\n  We generalize to nonlinear and higher derivatives theories Schroedinger formulation of Born-Infeld theory, and for the latter,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4737","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":"2026-05-18T01:51:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GC9ou3/6pUJcHtp3iuyu9Hlwm7f4CuaV5Gx9IeIZLEAFp+B82LuCrUDQkdya3oDTsbJe9Lwvuu0FBE2gPah4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:36:50.702944Z"},"content_sha256":"db0451ecf6be82e60da180e5aeb294de4d0b62e045ce113d148ed5fb4603eca3","schema_version":"1.0","event_id":"sha256:db0451ecf6be82e60da180e5aeb294de4d0b62e045ce113d148ed5fb4603eca3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZQYGQO25NB6OTAT7JNY4FMDPMX/bundle.json","state_url":"https://pith.science/pith/ZQYGQO25NB6OTAT7JNY4FMDPMX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZQYGQO25NB6OTAT7JNY4FMDPMX/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":"2026-05-28T11:36:50Z","links":{"resolver":"https://pith.science/pith/ZQYGQO25NB6OTAT7JNY4FMDPMX","bundle":"https://pith.science/pith/ZQYGQO25NB6OTAT7JNY4FMDPMX/bundle.json","state":"https://pith.science/pith/ZQYGQO25NB6OTAT7JNY4FMDPMX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZQYGQO25NB6OTAT7JNY4FMDPMX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:ZQYGQO25NB6OTAT7JNY4FMDPMX","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":"7c507c52313c945edcc0547eb94a1f79a79de9754eeaaa825ef084f136a3d249","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-19T20:54:24Z","title_canon_sha256":"c9363217613b504258e50cd6b81d2ac5fe03ac1e9defea435c504766d9d375d5"},"schema_version":"1.0","source":{"id":"1302.4737","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.4737","created_at":"2026-05-18T01:51:35Z"},{"alias_kind":"arxiv_version","alias_value":"1302.4737v2","created_at":"2026-05-18T01:51:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.4737","created_at":"2026-05-18T01:51:35Z"},{"alias_kind":"pith_short_12","alias_value":"ZQYGQO25NB6O","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"ZQYGQO25NB6OTAT7","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"ZQYGQO25","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:db0451ecf6be82e60da180e5aeb294de4d0b62e045ce113d148ed5fb4603eca3","target":"graph","created_at":"2026-05-18T01:51:35Z","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 present a systematic study of nonlinear and higher derivatives extensions of electromagnetism. We clarify when action functionals S[F] can be explicitly obtained from arbitrary (not necessarily self-dual) nonlinear equations of motion. We show that the \"Deformed twisted self-duality condition\" proposal originated in the context of supergravity counterterms is actually the general framework needed to discuss self-dual theories starting from a variational principle.\n  We generalize to nonlinear and higher derivatives theories Schroedinger formulation of Born-Infeld theory, and for the latter,","authors_text":"Paolo Aschieri, Sergio Ferrara","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-19T20:54:24Z","title":"Constitutive relations and Schroedinger's formulation of nonlinear electromagnetic theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.4737","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:fda9f98c2a66370b67cc1077234cc4df2f97422aef7db1859ccd9e6b15209025","target":"record","created_at":"2026-05-18T01:51:35Z","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":"7c507c52313c945edcc0547eb94a1f79a79de9754eeaaa825ef084f136a3d249","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-02-19T20:54:24Z","title_canon_sha256":"c9363217613b504258e50cd6b81d2ac5fe03ac1e9defea435c504766d9d375d5"},"schema_version":"1.0","source":{"id":"1302.4737","kind":"arxiv","version":2}},"canonical_sha256":"cc30683b5d687ce9827f4b71c2b06f65dbddb1216f4f2835d1009a5e0379c618","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc30683b5d687ce9827f4b71c2b06f65dbddb1216f4f2835d1009a5e0379c618","first_computed_at":"2026-05-18T01:51:35.192738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:35.192738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ahM/qQaSqZ42uuKIc9WZ9jrk1UAXwZx7UBLB0xjuG+E/WvBM2CdK0rw2m/ZdEeK9ZIWIHRsggDu1HM9CVLhVBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:35.193156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.4737","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fda9f98c2a66370b67cc1077234cc4df2f97422aef7db1859ccd9e6b15209025","sha256:db0451ecf6be82e60da180e5aeb294de4d0b62e045ce113d148ed5fb4603eca3"],"state_sha256":"0d730cd673bfc987d1fff14325a52e3efe13598cb6f903ce93ded2f54a7447d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S4kwLHdx80qKWGxRSs67D9f/JS1/bcEg/xiwYVvmp/lnv/JE1UGPfnqGEvYlldTb9arHCmDl4+301cw07NitAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:36:50.704966Z","bundle_sha256":"c98082389b6b57979cf12c8e712ed13dfc3a8ff34db4ecdf51a6418b23493561"}}