{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:P7Y3CGMOHYWSBKVXQBGJITG6F7","short_pith_number":"pith:P7Y3CGMO","canonical_record":{"source":{"id":"1902.06786","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-18T20:22:10Z","cross_cats_sorted":[],"title_canon_sha256":"43c97e642d07baaa9d2b8e8682f67881fc31226da8ba0e75e8edd2ff787470f2","abstract_canon_sha256":"d1fb546d9c8ff94e5a1265b16559f7654f45c2ec9e876178087eee0349bf1aa4"},"schema_version":"1.0"},"canonical_sha256":"7ff1b1198e3e2d20aab7804c944cde2fd2b84a4ebecd583fda729272da548d35","source":{"kind":"arxiv","id":"1902.06786","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06786","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06786v2","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06786","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"pith_short_12","alias_value":"P7Y3CGMOHYWS","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"P7Y3CGMOHYWSBKVX","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"P7Y3CGMO","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:P7Y3CGMOHYWSBKVXQBGJITG6F7","target":"record","payload":{"canonical_record":{"source":{"id":"1902.06786","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-18T20:22:10Z","cross_cats_sorted":[],"title_canon_sha256":"43c97e642d07baaa9d2b8e8682f67881fc31226da8ba0e75e8edd2ff787470f2","abstract_canon_sha256":"d1fb546d9c8ff94e5a1265b16559f7654f45c2ec9e876178087eee0349bf1aa4"},"schema_version":"1.0"},"canonical_sha256":"7ff1b1198e3e2d20aab7804c944cde2fd2b84a4ebecd583fda729272da548d35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:35.853679Z","signature_b64":"0oxef/Igi4JIOdA9/risTfYPwZL8ZIrhS3ybgR1ScD2mvi63BQ3R2M5nsUJq2QtBu1AmMvy3CR0VcpBS4b8DDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7ff1b1198e3e2d20aab7804c944cde2fd2b84a4ebecd583fda729272da548d35","last_reissued_at":"2026-05-17T23:52:35.853231Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:35.853231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.06786","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":"2026-05-17T23:52:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qWkwsvi52oRkcLoWtWP8kkm+hMBcC4Aeq2k57kU2iHGL340TWr+WKMwWcJJhoAx4KBUnrupgjMDupRF8P8qCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T23:22:14.515745Z"},"content_sha256":"fb0c4b01ed5aa6da92c2bca954e150f44ed06b840d327943bc6941e815d2e667","schema_version":"1.0","event_id":"sha256:fb0c4b01ed5aa6da92c2bca954e150f44ed06b840d327943bc6941e815d2e667"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:P7Y3CGMOHYWSBKVXQBGJITG6F7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classifying spaces for projections of immersions with controlled singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Andr\\'as Sz\\H{u}cs, Tam\\'as Terpai","submitted_at":"2019-02-18T20:22:10Z","abstract_excerpt":"We give an explicit simple construction for classifying spaces of maps obtained as hyperplane projections of immersions. We prove structure theorems for these classifying spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06786","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":"2026-05-17T23:52:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FaWxl+cKGLGWhNEoApzUwIiWD4TrAO9iRc7X8DXInUWPXGloGE2PeW4i1O1jq6MWnoIxR4fDGpbuBBfc81foAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T23:22:14.516099Z"},"content_sha256":"24b97537ab1149dd86c54ef50deeeb303b5b975e3a1fce4e8feaf28864d4602f","schema_version":"1.0","event_id":"sha256:24b97537ab1149dd86c54ef50deeeb303b5b975e3a1fce4e8feaf28864d4602f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P7Y3CGMOHYWSBKVXQBGJITG6F7/bundle.json","state_url":"https://pith.science/pith/P7Y3CGMOHYWSBKVXQBGJITG6F7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P7Y3CGMOHYWSBKVXQBGJITG6F7/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":"2026-07-01T23:22:14Z","links":{"resolver":"https://pith.science/pith/P7Y3CGMOHYWSBKVXQBGJITG6F7","bundle":"https://pith.science/pith/P7Y3CGMOHYWSBKVXQBGJITG6F7/bundle.json","state":"https://pith.science/pith/P7Y3CGMOHYWSBKVXQBGJITG6F7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P7Y3CGMOHYWSBKVXQBGJITG6F7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:P7Y3CGMOHYWSBKVXQBGJITG6F7","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":"d1fb546d9c8ff94e5a1265b16559f7654f45c2ec9e876178087eee0349bf1aa4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-18T20:22:10Z","title_canon_sha256":"43c97e642d07baaa9d2b8e8682f67881fc31226da8ba0e75e8edd2ff787470f2"},"schema_version":"1.0","source":{"id":"1902.06786","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.06786","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"arxiv_version","alias_value":"1902.06786v2","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.06786","created_at":"2026-05-17T23:52:35Z"},{"alias_kind":"pith_short_12","alias_value":"P7Y3CGMOHYWS","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"P7Y3CGMOHYWSBKVX","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"P7Y3CGMO","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:24b97537ab1149dd86c54ef50deeeb303b5b975e3a1fce4e8feaf28864d4602f","target":"graph","created_at":"2026-05-17T23:52:35Z","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 give an explicit simple construction for classifying spaces of maps obtained as hyperplane projections of immersions. We prove structure theorems for these classifying spaces.","authors_text":"Andr\\'as Sz\\H{u}cs, Tam\\'as Terpai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-18T20:22:10Z","title":"Classifying spaces for projections of immersions with controlled singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.06786","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:fb0c4b01ed5aa6da92c2bca954e150f44ed06b840d327943bc6941e815d2e667","target":"record","created_at":"2026-05-17T23:52:35Z","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":"d1fb546d9c8ff94e5a1265b16559f7654f45c2ec9e876178087eee0349bf1aa4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-02-18T20:22:10Z","title_canon_sha256":"43c97e642d07baaa9d2b8e8682f67881fc31226da8ba0e75e8edd2ff787470f2"},"schema_version":"1.0","source":{"id":"1902.06786","kind":"arxiv","version":2}},"canonical_sha256":"7ff1b1198e3e2d20aab7804c944cde2fd2b84a4ebecd583fda729272da548d35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ff1b1198e3e2d20aab7804c944cde2fd2b84a4ebecd583fda729272da548d35","first_computed_at":"2026-05-17T23:52:35.853231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:35.853231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0oxef/Igi4JIOdA9/risTfYPwZL8ZIrhS3ybgR1ScD2mvi63BQ3R2M5nsUJq2QtBu1AmMvy3CR0VcpBS4b8DDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:35.853679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.06786","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb0c4b01ed5aa6da92c2bca954e150f44ed06b840d327943bc6941e815d2e667","sha256:24b97537ab1149dd86c54ef50deeeb303b5b975e3a1fce4e8feaf28864d4602f"],"state_sha256":"f9c1be57884ae748d72ef283ad4ba8777f323432381ff18115c723497864acec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aqhK7VvxXrbDa2OUVkcfVZIbPryRsdwWbcgcOgaWykrCbVyade1X/KIRCjiFPj3nOx+M9Ft4Q0oi+0xFjzKnDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T23:22:14.518396Z","bundle_sha256":"e4a054549c51305ea221c8d0e46b94a46c5c03e884ca7b38a70edabb8e43e944"}}