{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3UFC7IUMC6FSZQL5X55SYGMVQV","short_pith_number":"pith:3UFC7IUM","canonical_record":{"source":{"id":"1612.04570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-14T10:51:20Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"b3c4c1a86cd7fde82669735f6cfa360261609264c5220b24a6889d8d8f6ba63b","abstract_canon_sha256":"dcd5d8bd0f1095580a0efb11e97945ff681a0521fb51297a64a71135cfc35b91"},"schema_version":"1.0"},"canonical_sha256":"dd0a2fa28c178b2cc17dbf7b2c199585720c57743e7bb5a62f37b5d2b2c0b77a","source":{"kind":"arxiv","id":"1612.04570","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04570","created_at":"2026-05-18T00:54:59Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04570v1","created_at":"2026-05-18T00:54:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04570","created_at":"2026-05-18T00:54:59Z"},{"alias_kind":"pith_short_12","alias_value":"3UFC7IUMC6FS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3UFC7IUMC6FSZQL5","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3UFC7IUM","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3UFC7IUMC6FSZQL5X55SYGMVQV","target":"record","payload":{"canonical_record":{"source":{"id":"1612.04570","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-14T10:51:20Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"b3c4c1a86cd7fde82669735f6cfa360261609264c5220b24a6889d8d8f6ba63b","abstract_canon_sha256":"dcd5d8bd0f1095580a0efb11e97945ff681a0521fb51297a64a71135cfc35b91"},"schema_version":"1.0"},"canonical_sha256":"dd0a2fa28c178b2cc17dbf7b2c199585720c57743e7bb5a62f37b5d2b2c0b77a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:59.173152Z","signature_b64":"FDetsSeTU7gsM3tHnu/lVFtk29VqIZbfvCYufJ8PUIKdctfkhXlWaqqd6H/S/PPmgphZibTx/2y3YVwcXQS8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd0a2fa28c178b2cc17dbf7b2c199585720c57743e7bb5a62f37b5d2b2c0b77a","last_reissued_at":"2026-05-18T00:54:59.172635Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:59.172635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.04570","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":"2026-05-18T00:54:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"28j78ejC2dtCn5Guh0+kb485T5/TFtXKQJ5v2ZspNUd5Wn+ZZShEaOBak59JfRRNvnH/L6hev+wre8AETAi9AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:37:42.851756Z"},"content_sha256":"eaf302b6af286aa88b582cd50eb4c970444c4e0a37203190199e8c446618c69f","schema_version":"1.0","event_id":"sha256:eaf302b6af286aa88b582cd50eb4c970444c4e0a37203190199e8c446618c69f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3UFC7IUMC6FSZQL5X55SYGMVQV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some elementary remarks on lci algebraic cycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AG","authors_text":"Gabriele Vezzosi, Marco Maggesi","submitted_at":"2016-12-14T10:51:20Z","abstract_excerpt":"In this short note, we simply collect some known results about representing algebraic cycles by various kind of \"nice\" (e.g. smooth, local complete intersection, products of local complete intersection) algebraic cycles, up to rational equivalence. We also add a few elementary and easy observations on these representation problems that we were not able to locate in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04570","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":"2026-05-18T00:54:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"749nI/jF+qswzOqnTQzWo1jc/abG5ar6U2/UHh3FwuOwY7Tlm/zTPPLJPUyTiXbcAm88VnJzl/mDtO6X5b2gAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:37:42.852145Z"},"content_sha256":"cfa505667b2710c370ea0b7f015444e1334297ae590652bbe9b95fc01a381ad5","schema_version":"1.0","event_id":"sha256:cfa505667b2710c370ea0b7f015444e1334297ae590652bbe9b95fc01a381ad5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3UFC7IUMC6FSZQL5X55SYGMVQV/bundle.json","state_url":"https://pith.science/pith/3UFC7IUMC6FSZQL5X55SYGMVQV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3UFC7IUMC6FSZQL5X55SYGMVQV/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":"2026-06-01T00:37:42Z","links":{"resolver":"https://pith.science/pith/3UFC7IUMC6FSZQL5X55SYGMVQV","bundle":"https://pith.science/pith/3UFC7IUMC6FSZQL5X55SYGMVQV/bundle.json","state":"https://pith.science/pith/3UFC7IUMC6FSZQL5X55SYGMVQV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3UFC7IUMC6FSZQL5X55SYGMVQV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3UFC7IUMC6FSZQL5X55SYGMVQV","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":"dcd5d8bd0f1095580a0efb11e97945ff681a0521fb51297a64a71135cfc35b91","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-14T10:51:20Z","title_canon_sha256":"b3c4c1a86cd7fde82669735f6cfa360261609264c5220b24a6889d8d8f6ba63b"},"schema_version":"1.0","source":{"id":"1612.04570","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.04570","created_at":"2026-05-18T00:54:59Z"},{"alias_kind":"arxiv_version","alias_value":"1612.04570v1","created_at":"2026-05-18T00:54:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04570","created_at":"2026-05-18T00:54:59Z"},{"alias_kind":"pith_short_12","alias_value":"3UFC7IUMC6FS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3UFC7IUMC6FSZQL5","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3UFC7IUM","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:cfa505667b2710c370ea0b7f015444e1334297ae590652bbe9b95fc01a381ad5","target":"graph","created_at":"2026-05-18T00:54:59Z","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":"In this short note, we simply collect some known results about representing algebraic cycles by various kind of \"nice\" (e.g. smooth, local complete intersection, products of local complete intersection) algebraic cycles, up to rational equivalence. We also add a few elementary and easy observations on these representation problems that we were not able to locate in the literature.","authors_text":"Gabriele Vezzosi, Marco Maggesi","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-14T10:51:20Z","title":"Some elementary remarks on lci algebraic cycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04570","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:eaf302b6af286aa88b582cd50eb4c970444c4e0a37203190199e8c446618c69f","target":"record","created_at":"2026-05-18T00:54:59Z","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":"dcd5d8bd0f1095580a0efb11e97945ff681a0521fb51297a64a71135cfc35b91","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-12-14T10:51:20Z","title_canon_sha256":"b3c4c1a86cd7fde82669735f6cfa360261609264c5220b24a6889d8d8f6ba63b"},"schema_version":"1.0","source":{"id":"1612.04570","kind":"arxiv","version":1}},"canonical_sha256":"dd0a2fa28c178b2cc17dbf7b2c199585720c57743e7bb5a62f37b5d2b2c0b77a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd0a2fa28c178b2cc17dbf7b2c199585720c57743e7bb5a62f37b5d2b2c0b77a","first_computed_at":"2026-05-18T00:54:59.172635Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:59.172635Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FDetsSeTU7gsM3tHnu/lVFtk29VqIZbfvCYufJ8PUIKdctfkhXlWaqqd6H/S/PPmgphZibTx/2y3YVwcXQS8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:59.173152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.04570","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eaf302b6af286aa88b582cd50eb4c970444c4e0a37203190199e8c446618c69f","sha256:cfa505667b2710c370ea0b7f015444e1334297ae590652bbe9b95fc01a381ad5"],"state_sha256":"b5fa83521ad00556f3c2cca268ccc2f189072c13eea01b9876c13528e82b92d5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IOl6jXRaEfK8aQdr9NO05Hz5P+5au8o3UDhrps1Yh5JB4UvXQHaPJLmkXtlUYcr416WxO/ufMBDlWOe+/ORNCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T00:37:42.855811Z","bundle_sha256":"765a0794083aafa91320b94bfde80c16c388f0c66ad5bd146d627d42e62efa67"}}