{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:GCS3NL2EUOPZSDVFCJZWJKLOZI","short_pith_number":"pith:GCS3NL2E","canonical_record":{"source":{"id":"1601.06170","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-22T21:00:58Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"5c0eca23ba0de72fc9e67057016304575a940aa2b9e6d614350ba8c7bed57ba4","abstract_canon_sha256":"e424a1982b214c68e44898026f8a80a9bef87b5b38f8880dd4e8c3dc62f6ef7a"},"schema_version":"1.0"},"canonical_sha256":"30a5b6af44a39f990ea5127364a96eca3147b30829523116479b08f80113da9b","source":{"kind":"arxiv","id":"1601.06170","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06170","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06170v1","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06170","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"pith_short_12","alias_value":"GCS3NL2EUOPZ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GCS3NL2EUOPZSDVF","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GCS3NL2E","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:GCS3NL2EUOPZSDVFCJZWJKLOZI","target":"record","payload":{"canonical_record":{"source":{"id":"1601.06170","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-22T21:00:58Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"5c0eca23ba0de72fc9e67057016304575a940aa2b9e6d614350ba8c7bed57ba4","abstract_canon_sha256":"e424a1982b214c68e44898026f8a80a9bef87b5b38f8880dd4e8c3dc62f6ef7a"},"schema_version":"1.0"},"canonical_sha256":"30a5b6af44a39f990ea5127364a96eca3147b30829523116479b08f80113da9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:05.213480Z","signature_b64":"IxDv2Mw3qhrwgpsejjWq1uyBeFgasTMCEuVUSPTOPr6/3UwjrnCa70ss3I+qtWoUBzVbUvxegQriveXHGr20CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30a5b6af44a39f990ea5127364a96eca3147b30829523116479b08f80113da9b","last_reissued_at":"2026-05-18T01:22:05.212775Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:05.212775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.06170","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":"2026-05-18T01:22:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BNc2R08HjTojQ8qPRLkxieOOc1+ATYc6KUYlDoG35HC7g0DfO+VBL1woiLMVOlLZu+EsP3GFnvJ3UsjipMXqDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:56:17.337676Z"},"content_sha256":"3a848e7e4fa591d72376bd1b96bfe6d5a52d664dec87241b44ba4095dbac0b34","schema_version":"1.0","event_id":"sha256:3a848e7e4fa591d72376bd1b96bfe6d5a52d664dec87241b44ba4095dbac0b34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:GCS3NL2EUOPZSDVFCJZWJKLOZI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Further counterexamples to the integral Hodge conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Arnav Tripathy","submitted_at":"2016-01-22T21:00:58Z","abstract_excerpt":"We study the integral Hodge conjecture in complex codimension $2$ and $3$ for approximations to the classifying space of groups of type A. In degree two, we prove a conjecture of Ben Antieau, extending his two counterexamples to a general family of groups. In particular, when reduced to a finite field, these spaces extend Antieau's counterexamples to the integral $\\ell$-adic Tate conjecture from the cases $\\ell = 2, 3$ to all primes $\\ell$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06170","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":"2026-05-18T01:22:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4+mGOrBW2LizMPIw24YeqbSJTCoIzdBX9gXmNhIvAvt6omG95agv378YQP2gVlgnx1DUyQr48ZdoO96dwhuMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T19:56:17.338351Z"},"content_sha256":"9d916b2a860f0ca085615af840842b9b3ef54b15e5395d2d04b132f868bbc3c6","schema_version":"1.0","event_id":"sha256:9d916b2a860f0ca085615af840842b9b3ef54b15e5395d2d04b132f868bbc3c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GCS3NL2EUOPZSDVFCJZWJKLOZI/bundle.json","state_url":"https://pith.science/pith/GCS3NL2EUOPZSDVFCJZWJKLOZI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GCS3NL2EUOPZSDVFCJZWJKLOZI/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":"2026-06-10T19:56:17Z","links":{"resolver":"https://pith.science/pith/GCS3NL2EUOPZSDVFCJZWJKLOZI","bundle":"https://pith.science/pith/GCS3NL2EUOPZSDVFCJZWJKLOZI/bundle.json","state":"https://pith.science/pith/GCS3NL2EUOPZSDVFCJZWJKLOZI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GCS3NL2EUOPZSDVFCJZWJKLOZI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:GCS3NL2EUOPZSDVFCJZWJKLOZI","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":"e424a1982b214c68e44898026f8a80a9bef87b5b38f8880dd4e8c3dc62f6ef7a","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-22T21:00:58Z","title_canon_sha256":"5c0eca23ba0de72fc9e67057016304575a940aa2b9e6d614350ba8c7bed57ba4"},"schema_version":"1.0","source":{"id":"1601.06170","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06170","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06170v1","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06170","created_at":"2026-05-18T01:22:05Z"},{"alias_kind":"pith_short_12","alias_value":"GCS3NL2EUOPZ","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"GCS3NL2EUOPZSDVF","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"GCS3NL2E","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:9d916b2a860f0ca085615af840842b9b3ef54b15e5395d2d04b132f868bbc3c6","target":"graph","created_at":"2026-05-18T01:22:05Z","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 study the integral Hodge conjecture in complex codimension $2$ and $3$ for approximations to the classifying space of groups of type A. In degree two, we prove a conjecture of Ben Antieau, extending his two counterexamples to a general family of groups. In particular, when reduced to a finite field, these spaces extend Antieau's counterexamples to the integral $\\ell$-adic Tate conjecture from the cases $\\ell = 2, 3$ to all primes $\\ell$.","authors_text":"Arnav Tripathy","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-22T21:00:58Z","title":"Further counterexamples to the integral Hodge conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06170","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":"sha256:3a848e7e4fa591d72376bd1b96bfe6d5a52d664dec87241b44ba4095dbac0b34","target":"record","created_at":"2026-05-18T01:22:05Z","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":"e424a1982b214c68e44898026f8a80a9bef87b5b38f8880dd4e8c3dc62f6ef7a","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-01-22T21:00:58Z","title_canon_sha256":"5c0eca23ba0de72fc9e67057016304575a940aa2b9e6d614350ba8c7bed57ba4"},"schema_version":"1.0","source":{"id":"1601.06170","kind":"arxiv","version":1}},"canonical_sha256":"30a5b6af44a39f990ea5127364a96eca3147b30829523116479b08f80113da9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"30a5b6af44a39f990ea5127364a96eca3147b30829523116479b08f80113da9b","first_computed_at":"2026-05-18T01:22:05.212775Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:05.212775Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IxDv2Mw3qhrwgpsejjWq1uyBeFgasTMCEuVUSPTOPr6/3UwjrnCa70ss3I+qtWoUBzVbUvxegQriveXHGr20CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:05.213480Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06170","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a848e7e4fa591d72376bd1b96bfe6d5a52d664dec87241b44ba4095dbac0b34","sha256:9d916b2a860f0ca085615af840842b9b3ef54b15e5395d2d04b132f868bbc3c6"],"state_sha256":"718b6fa56a3767bfeed90be23f58859388b8b9d037974b51a8efb9f162396905"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ictbQB0UreiF3pWjNSHg5A5asQ1xivQKMg4r6qDG40lmv+Oy5J9EnicdTmRMGO54eM762mFgPdTXR6tqte/hDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T19:56:17.341129Z","bundle_sha256":"595b672d1f27ab683886708d7f72030aa199f1cc209592d507392fae866d386b"}}