{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZYPRSDBDAOR6ISMPDUER7L36F5","short_pith_number":"pith:ZYPRSDBD","canonical_record":{"source":{"id":"1812.01406","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T13:41:56Z","cross_cats_sorted":[],"title_canon_sha256":"a81aba41d0a91bd9cebe5a214f6e3fa14fcd7ccc03ca968940128e55d82d0bfe","abstract_canon_sha256":"a7f49959c87d2d797a5baced5e7821c8294ab674646b72b35a05011cad69517e"},"schema_version":"1.0"},"canonical_sha256":"ce1f190c2303a3e4498f1d091faf7e2f6ccd9c57995d4d6dd4cb71a4e07afe9b","source":{"kind":"arxiv","id":"1812.01406","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01406","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01406v2","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01406","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZYPRSDBDAOR6","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZYPRSDBDAOR6ISMP","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZYPRSDBD","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZYPRSDBDAOR6ISMPDUER7L36F5","target":"record","payload":{"canonical_record":{"source":{"id":"1812.01406","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T13:41:56Z","cross_cats_sorted":[],"title_canon_sha256":"a81aba41d0a91bd9cebe5a214f6e3fa14fcd7ccc03ca968940128e55d82d0bfe","abstract_canon_sha256":"a7f49959c87d2d797a5baced5e7821c8294ab674646b72b35a05011cad69517e"},"schema_version":"1.0"},"canonical_sha256":"ce1f190c2303a3e4498f1d091faf7e2f6ccd9c57995d4d6dd4cb71a4e07afe9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:32.351716Z","signature_b64":"CkA9v3RrrBHCJzVf+txHkVSXRT9JoHspQ1UZBC2uJl0qnj7bXEwI1BdbzV3D9P2j8UaLqFo0SPZZAWaP7rBaAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce1f190c2303a3e4498f1d091faf7e2f6ccd9c57995d4d6dd4cb71a4e07afe9b","last_reissued_at":"2026-05-17T23:45:32.350974Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:32.350974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.01406","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":"2026-05-17T23:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QSTVwKN8IWsccZxN1/YkpZ35xxzV8scHKhP3ewPtY/U74SOqz7DVU//7ZpeGMBuMgJSYZYGqfJ2HI0v8jrOZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:29:07.708691Z"},"content_sha256":"2e726798fcb824dc28de5b824d3770995c0e0f3276030806c157fb18dcf15841","schema_version":"1.0","event_id":"sha256:2e726798fcb824dc28de5b824d3770995c0e0f3276030806c157fb18dcf15841"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZYPRSDBDAOR6ISMPDUER7L36F5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The curved WDVV equations and superfields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"N. Kozyrev","submitted_at":"2018-12-04T13:41:56Z","abstract_excerpt":"We reproduce the ${\\cal N}=4$ supersymmetric mechanics on curved spaces, constructed earlier within the Hamiltonian formalism, using the superfield methods. We show that for any such mechanics, given by the metric and the third order Codazzi tensor, it is possible to construct a suitable modification of irreducibility conditions of linear ${\\cal N}=4$ multiplets and obtain the superfield Lagrangian by solving a simple differential equation. Also, we prove that the constructed irreducibility conditions are consistent if and only if the metric and Codazzi tensor satisfy the modification of the W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01406","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":"2026-05-17T23:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ILl5bYDgKtXk8fHo/EaBFqos+I2E9U3Xy4Hg3hY7rXI5e/HiJQcVDnD06uOGJGGvcT7HUqngfuxkCKheuueHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T22:29:07.709030Z"},"content_sha256":"3ec47145a0634f5bf3ee63d1a075610b67cd20693c42550b537c31d822829c2c","schema_version":"1.0","event_id":"sha256:3ec47145a0634f5bf3ee63d1a075610b67cd20693c42550b537c31d822829c2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZYPRSDBDAOR6ISMPDUER7L36F5/bundle.json","state_url":"https://pith.science/pith/ZYPRSDBDAOR6ISMPDUER7L36F5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZYPRSDBDAOR6ISMPDUER7L36F5/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":"2026-06-08T22:29:07Z","links":{"resolver":"https://pith.science/pith/ZYPRSDBDAOR6ISMPDUER7L36F5","bundle":"https://pith.science/pith/ZYPRSDBDAOR6ISMPDUER7L36F5/bundle.json","state":"https://pith.science/pith/ZYPRSDBDAOR6ISMPDUER7L36F5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZYPRSDBDAOR6ISMPDUER7L36F5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZYPRSDBDAOR6ISMPDUER7L36F5","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":"a7f49959c87d2d797a5baced5e7821c8294ab674646b72b35a05011cad69517e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T13:41:56Z","title_canon_sha256":"a81aba41d0a91bd9cebe5a214f6e3fa14fcd7ccc03ca968940128e55d82d0bfe"},"schema_version":"1.0","source":{"id":"1812.01406","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01406","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01406v2","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01406","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"ZYPRSDBDAOR6","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZYPRSDBDAOR6ISMP","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZYPRSDBD","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:3ec47145a0634f5bf3ee63d1a075610b67cd20693c42550b537c31d822829c2c","target":"graph","created_at":"2026-05-17T23:45:32Z","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 reproduce the ${\\cal N}=4$ supersymmetric mechanics on curved spaces, constructed earlier within the Hamiltonian formalism, using the superfield methods. We show that for any such mechanics, given by the metric and the third order Codazzi tensor, it is possible to construct a suitable modification of irreducibility conditions of linear ${\\cal N}=4$ multiplets and obtain the superfield Lagrangian by solving a simple differential equation. Also, we prove that the constructed irreducibility conditions are consistent if and only if the metric and Codazzi tensor satisfy the modification of the W","authors_text":"N. Kozyrev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T13:41:56Z","title":"The curved WDVV equations and superfields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01406","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":"sha256:2e726798fcb824dc28de5b824d3770995c0e0f3276030806c157fb18dcf15841","target":"record","created_at":"2026-05-17T23:45:32Z","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":"a7f49959c87d2d797a5baced5e7821c8294ab674646b72b35a05011cad69517e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T13:41:56Z","title_canon_sha256":"a81aba41d0a91bd9cebe5a214f6e3fa14fcd7ccc03ca968940128e55d82d0bfe"},"schema_version":"1.0","source":{"id":"1812.01406","kind":"arxiv","version":2}},"canonical_sha256":"ce1f190c2303a3e4498f1d091faf7e2f6ccd9c57995d4d6dd4cb71a4e07afe9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ce1f190c2303a3e4498f1d091faf7e2f6ccd9c57995d4d6dd4cb71a4e07afe9b","first_computed_at":"2026-05-17T23:45:32.350974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:32.350974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CkA9v3RrrBHCJzVf+txHkVSXRT9JoHspQ1UZBC2uJl0qnj7bXEwI1BdbzV3D9P2j8UaLqFo0SPZZAWaP7rBaAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:32.351716Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01406","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e726798fcb824dc28de5b824d3770995c0e0f3276030806c157fb18dcf15841","sha256:3ec47145a0634f5bf3ee63d1a075610b67cd20693c42550b537c31d822829c2c"],"state_sha256":"53ce98a6e8f2344a25430ea8efad12189b353f6502e4f0f3622b3814e0be6f63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wojQ+Afsfq1kkX3HEh60isCmNP4jyvU9SYvk4YnmzP64dp2j50OG+nrLkI7NaRQsiZAoJL596FR0zOpbX6R0Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T22:29:07.710871Z","bundle_sha256":"9ea353e717d265ebe3960d5b9e0c69b830df625e00e31345c89fb23de3d69f9f"}}