{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UZSDMZ3QF7YJ6WMBD7POKZCMLT","short_pith_number":"pith:UZSDMZ3Q","canonical_record":{"source":{"id":"1903.11541","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T16:48:41Z","cross_cats_sorted":[],"title_canon_sha256":"1e43ccbbfd7e79106ec32d319214c7fa1a27c92e5b124fd708d51ce83f8e21bd","abstract_canon_sha256":"348e2f7719bfd3a5b521a19cd2b1c746dbd24da17080fc9505a68dffc1d7d676"},"schema_version":"1.0"},"canonical_sha256":"a6643667702ff09f59811fdee5644c5cc74f36b074638a3eecfcf00043e54b6d","source":{"kind":"arxiv","id":"1903.11541","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11541","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11541v1","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11541","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"UZSDMZ3QF7YJ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UZSDMZ3QF7YJ6WMB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UZSDMZ3Q","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UZSDMZ3QF7YJ6WMBD7POKZCMLT","target":"record","payload":{"canonical_record":{"source":{"id":"1903.11541","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T16:48:41Z","cross_cats_sorted":[],"title_canon_sha256":"1e43ccbbfd7e79106ec32d319214c7fa1a27c92e5b124fd708d51ce83f8e21bd","abstract_canon_sha256":"348e2f7719bfd3a5b521a19cd2b1c746dbd24da17080fc9505a68dffc1d7d676"},"schema_version":"1.0"},"canonical_sha256":"a6643667702ff09f59811fdee5644c5cc74f36b074638a3eecfcf00043e54b6d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:03.019753Z","signature_b64":"e/7NLl3ez8ZZSXvCOfmNTp4pCLTZP2OMS6RQ39FdwvRAfChNk/XhTHVDSk8t8QcoJNErgRKJ96gAI+DUfDKpDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6643667702ff09f59811fdee5644c5cc74f36b074638a3eecfcf00043e54b6d","last_reissued_at":"2026-05-17T23:50:03.019341Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:03.019341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.11541","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":"2026-05-17T23:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FtmocGnpUGRhp73ZuI+9fQxZWUVtLhHtfOfd9ujdGBP/Rsbrq1hOzlKBkSe+sW6uQxyjDKzLCaP9JYBAv185Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:19:12.927920Z"},"content_sha256":"eac7500821da87b6d17f91abf130ab7460c0dee24565d517d5d1056445156ff7","schema_version":"1.0","event_id":"sha256:eac7500821da87b6d17f91abf130ab7460c0dee24565d517d5d1056445156ff7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UZSDMZ3QF7YJ6WMBD7POKZCMLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regulator Maps for Higher Chow Groups via Current Transforms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Paulo Lima-Filho, Pedro F. dos Santos, Robert M. Hardt","submitted_at":"2019-03-27T16:48:41Z","abstract_excerpt":"We show how to use equidimensional algebraic correspondences between complex algebraic varieties to construct pull-backs and transforms of certain classes of geometric currents. Using this construction we produce explicit formulas at the level of complexes for a regulator map from the Higher Chow groups of smooth complex quasi-projective algebraic varieties to Deligne-Beilinson cohomology with integral coefficients. A distinct aspect of our approach is the use of Suslin's complex of equidimensional cycles over $ \\Delta^n $ to compute Bloch's higher Chow groups. We calculate explicit examples i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11541","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":"2026-05-17T23:50:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BGpLJrT6eOCY7i6cyQ9dSf2VLAPWfcz9EhkDGTPFPmn0TT7hz7I4evLZsTa5Ymukzfesyd7e1roIjjKycK6mCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T16:19:12.928264Z"},"content_sha256":"d13a835e0d3a171d2e48f904b6a7d8df780c95c9114fb86cd647158d268be3c3","schema_version":"1.0","event_id":"sha256:d13a835e0d3a171d2e48f904b6a7d8df780c95c9114fb86cd647158d268be3c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UZSDMZ3QF7YJ6WMBD7POKZCMLT/bundle.json","state_url":"https://pith.science/pith/UZSDMZ3QF7YJ6WMBD7POKZCMLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UZSDMZ3QF7YJ6WMBD7POKZCMLT/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":"2026-06-26T16:19:12Z","links":{"resolver":"https://pith.science/pith/UZSDMZ3QF7YJ6WMBD7POKZCMLT","bundle":"https://pith.science/pith/UZSDMZ3QF7YJ6WMBD7POKZCMLT/bundle.json","state":"https://pith.science/pith/UZSDMZ3QF7YJ6WMBD7POKZCMLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UZSDMZ3QF7YJ6WMBD7POKZCMLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UZSDMZ3QF7YJ6WMBD7POKZCMLT","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":"348e2f7719bfd3a5b521a19cd2b1c746dbd24da17080fc9505a68dffc1d7d676","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T16:48:41Z","title_canon_sha256":"1e43ccbbfd7e79106ec32d319214c7fa1a27c92e5b124fd708d51ce83f8e21bd"},"schema_version":"1.0","source":{"id":"1903.11541","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.11541","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"arxiv_version","alias_value":"1903.11541v1","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.11541","created_at":"2026-05-17T23:50:03Z"},{"alias_kind":"pith_short_12","alias_value":"UZSDMZ3QF7YJ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UZSDMZ3QF7YJ6WMB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UZSDMZ3Q","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:d13a835e0d3a171d2e48f904b6a7d8df780c95c9114fb86cd647158d268be3c3","target":"graph","created_at":"2026-05-17T23:50:03Z","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 show how to use equidimensional algebraic correspondences between complex algebraic varieties to construct pull-backs and transforms of certain classes of geometric currents. Using this construction we produce explicit formulas at the level of complexes for a regulator map from the Higher Chow groups of smooth complex quasi-projective algebraic varieties to Deligne-Beilinson cohomology with integral coefficients. A distinct aspect of our approach is the use of Suslin's complex of equidimensional cycles over $ \\Delta^n $ to compute Bloch's higher Chow groups. We calculate explicit examples i","authors_text":"Paulo Lima-Filho, Pedro F. dos Santos, Robert M. Hardt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T16:48:41Z","title":"Regulator Maps for Higher Chow Groups via Current Transforms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.11541","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:eac7500821da87b6d17f91abf130ab7460c0dee24565d517d5d1056445156ff7","target":"record","created_at":"2026-05-17T23:50:03Z","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":"348e2f7719bfd3a5b521a19cd2b1c746dbd24da17080fc9505a68dffc1d7d676","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-03-27T16:48:41Z","title_canon_sha256":"1e43ccbbfd7e79106ec32d319214c7fa1a27c92e5b124fd708d51ce83f8e21bd"},"schema_version":"1.0","source":{"id":"1903.11541","kind":"arxiv","version":1}},"canonical_sha256":"a6643667702ff09f59811fdee5644c5cc74f36b074638a3eecfcf00043e54b6d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6643667702ff09f59811fdee5644c5cc74f36b074638a3eecfcf00043e54b6d","first_computed_at":"2026-05-17T23:50:03.019341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:03.019341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e/7NLl3ez8ZZSXvCOfmNTp4pCLTZP2OMS6RQ39FdwvRAfChNk/XhTHVDSk8t8QcoJNErgRKJ96gAI+DUfDKpDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:03.019753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.11541","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eac7500821da87b6d17f91abf130ab7460c0dee24565d517d5d1056445156ff7","sha256:d13a835e0d3a171d2e48f904b6a7d8df780c95c9114fb86cd647158d268be3c3"],"state_sha256":"e8b58c62349d9fee30727bb1a33d223d08067f200b37dfb3e68e7e9d54137387"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YkY85AMT3Dcr9i8+H1Bw+yDi4F3lZh+tZfNNQyS67Il+XobJOh8YtkSObLAxibk8jfTjJMMFjrqjCNn883dyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T16:19:12.930237Z","bundle_sha256":"8f234034ed14ce018f4cf8d2620e1379716626d3518fe31aabb7be76e43aed66"}}