{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:U6GBU6Y2BECBJMCFHEXZ4JZUIM","short_pith_number":"pith:U6GBU6Y2","schema_version":"1.0","canonical_sha256":"a78c1a7b1a090414b045392f9e273443126619cf44fee3f661c20aa85558dc77","source":{"kind":"arxiv","id":"1203.2102","version":1},"attestation_state":"computed","paper":{"title":"On Fractional Variational Problems which Admit Local Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Agnieszka B. Malinowska","submitted_at":"2012-03-09T14:51:37Z","abstract_excerpt":"We extend the second Noether theorem to fractional variational problems which are invariant under infinitesimal transformations that depend upon $r$ arbitrary functions and their fractional derivatives in the sense of Caputo. Our main result is illustrated using the fractional Lagrangian density of the electromagnetic field."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1203.2102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-03-09T14:51:37Z","cross_cats_sorted":[],"title_canon_sha256":"0d2acad5f73b8680b6713944f492c9a6d6c6891dd3e717a47de38ceb99987435","abstract_canon_sha256":"26e22d15bc16fe079d7a0f98cde2fd147d34eeeb58f338c6397ae4b02e00adfb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:27.499052Z","signature_b64":"e87Y+yocXsriweWZBBemWQvvjnw3850VDyLzVfXsUrHSuQ9u1VjZPXPhjCYANcC2hk+om+XqzwpD6PwKnoF/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a78c1a7b1a090414b045392f9e273443126619cf44fee3f661c20aa85558dc77","last_reissued_at":"2026-05-18T04:00:27.498522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:27.498522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Fractional Variational Problems which Admit Local Transformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Agnieszka B. Malinowska","submitted_at":"2012-03-09T14:51:37Z","abstract_excerpt":"We extend the second Noether theorem to fractional variational problems which are invariant under infinitesimal transformations that depend upon $r$ arbitrary functions and their fractional derivatives in the sense of Caputo. Our main result is illustrated using the fractional Lagrangian density of the electromagnetic field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2102","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1203.2102","created_at":"2026-05-18T04:00:27.498607+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.2102v1","created_at":"2026-05-18T04:00:27.498607+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.2102","created_at":"2026-05-18T04:00:27.498607+00:00"},{"alias_kind":"pith_short_12","alias_value":"U6GBU6Y2BECB","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_16","alias_value":"U6GBU6Y2BECBJMCF","created_at":"2026-05-18T12:27:23.164592+00:00"},{"alias_kind":"pith_short_8","alias_value":"U6GBU6Y2","created_at":"2026-05-18T12:27:23.164592+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM","json":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM.json","graph_json":"https://pith.science/api/pith-number/U6GBU6Y2BECBJMCFHEXZ4JZUIM/graph.json","events_json":"https://pith.science/api/pith-number/U6GBU6Y2BECBJMCFHEXZ4JZUIM/events.json","paper":"https://pith.science/paper/U6GBU6Y2"},"agent_actions":{"view_html":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM","download_json":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM.json","view_paper":"https://pith.science/paper/U6GBU6Y2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.2102&json=true","fetch_graph":"https://pith.science/api/pith-number/U6GBU6Y2BECBJMCFHEXZ4JZUIM/graph.json","fetch_events":"https://pith.science/api/pith-number/U6GBU6Y2BECBJMCFHEXZ4JZUIM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM/action/storage_attestation","attest_author":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM/action/author_attestation","sign_citation":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM/action/citation_signature","submit_replication":"https://pith.science/pith/U6GBU6Y2BECBJMCFHEXZ4JZUIM/action/replication_record"}},"created_at":"2026-05-18T04:00:27.498607+00:00","updated_at":"2026-05-18T04:00:27.498607+00:00"}