{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:6D3TLH64QAKWMGLW44GLDDHKET","short_pith_number":"pith:6D3TLH64","canonical_record":{"source":{"id":"1410.4372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-16T11:16:40Z","cross_cats_sorted":[],"title_canon_sha256":"b2e29a07927fb10bc1d23950493db13438618e70bc02ee95bba38a3864dd32c1","abstract_canon_sha256":"ca5ad7a266625875cb4831095f0bdf78532bd9b1cf1e8f1d93ed17824709e23f"},"schema_version":"1.0"},"canonical_sha256":"f0f7359fdc8015661976e70cb18cea24d5890cde5125cf99de02950ee7b35a7f","source":{"kind":"arxiv","id":"1410.4372","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4372","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4372v1","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4372","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"6D3TLH64QAKW","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6D3TLH64QAKWMGLW","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6D3TLH64","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:6D3TLH64QAKWMGLW44GLDDHKET","target":"record","payload":{"canonical_record":{"source":{"id":"1410.4372","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-16T11:16:40Z","cross_cats_sorted":[],"title_canon_sha256":"b2e29a07927fb10bc1d23950493db13438618e70bc02ee95bba38a3864dd32c1","abstract_canon_sha256":"ca5ad7a266625875cb4831095f0bdf78532bd9b1cf1e8f1d93ed17824709e23f"},"schema_version":"1.0"},"canonical_sha256":"f0f7359fdc8015661976e70cb18cea24d5890cde5125cf99de02950ee7b35a7f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:56.312017Z","signature_b64":"9vpiut09v6QWpFQ9m04JxKRtTEMXHyHX47gUdgv5467mF5VjJnmzpScemHit1EYWEqjKF5h+lZqD4hU2HEKpCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0f7359fdc8015661976e70cb18cea24d5890cde5125cf99de02950ee7b35a7f","last_reissued_at":"2026-05-18T02:39:56.311549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:56.311549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.4372","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":"2026-05-18T02:39:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IKow/7XCwUfV/k4UJzGYK0og7CUO6OkyeL6wLAQaDLgdM3W6noJvuyKsJKJpDpBMVxr4olPU6eHtXPGM6UlOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:02:04.999582Z"},"content_sha256":"b87c9f72fcd3e29dcaadccd73e784cbfb26d488decc38d399978b41d30b4e111","schema_version":"1.0","event_id":"sha256:b87c9f72fcd3e29dcaadccd73e784cbfb26d488decc38d399978b41d30b4e111"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:6D3TLH64QAKWMGLW44GLDDHKET","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computation of the first Stiefel-Whitney class for the variety $\\overline{{\\mathcal M}_{0,n}^{\\mathbb R}}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"E. M. Kreines, N. Ya. Amburg","submitted_at":"2014-10-16T11:16:40Z","abstract_excerpt":"We compute the class which is Poincare dual to the first Stiefel-Whitney class for the Deligne-Mumford compactification of the moduli space of real algebraic curves of genus 0 with n marked and numbered points in terms of the natural cell decomposition of the variety under consideration."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4372","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":"2026-05-18T02:39:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ARG2VO1hC2ZpO6tHp235hBwH8tYuR8GAPSoWID5y3lLugocn5Z0K+dveEln/jJ2cJMZCFE4RR8CgjDTHxs+WAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:02:04.999932Z"},"content_sha256":"11566423721c0e499fce7492ccb76eaa9ae5c45542e12afc4e9ab4be5b791ea0","schema_version":"1.0","event_id":"sha256:11566423721c0e499fce7492ccb76eaa9ae5c45542e12afc4e9ab4be5b791ea0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6D3TLH64QAKWMGLW44GLDDHKET/bundle.json","state_url":"https://pith.science/pith/6D3TLH64QAKWMGLW44GLDDHKET/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6D3TLH64QAKWMGLW44GLDDHKET/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":"2026-06-24T21:02:05Z","links":{"resolver":"https://pith.science/pith/6D3TLH64QAKWMGLW44GLDDHKET","bundle":"https://pith.science/pith/6D3TLH64QAKWMGLW44GLDDHKET/bundle.json","state":"https://pith.science/pith/6D3TLH64QAKWMGLW44GLDDHKET/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6D3TLH64QAKWMGLW44GLDDHKET/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:6D3TLH64QAKWMGLW44GLDDHKET","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":"ca5ad7a266625875cb4831095f0bdf78532bd9b1cf1e8f1d93ed17824709e23f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-16T11:16:40Z","title_canon_sha256":"b2e29a07927fb10bc1d23950493db13438618e70bc02ee95bba38a3864dd32c1"},"schema_version":"1.0","source":{"id":"1410.4372","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.4372","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"arxiv_version","alias_value":"1410.4372v1","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.4372","created_at":"2026-05-18T02:39:56Z"},{"alias_kind":"pith_short_12","alias_value":"6D3TLH64QAKW","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"6D3TLH64QAKWMGLW","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"6D3TLH64","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:11566423721c0e499fce7492ccb76eaa9ae5c45542e12afc4e9ab4be5b791ea0","target":"graph","created_at":"2026-05-18T02:39:56Z","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 compute the class which is Poincare dual to the first Stiefel-Whitney class for the Deligne-Mumford compactification of the moduli space of real algebraic curves of genus 0 with n marked and numbered points in terms of the natural cell decomposition of the variety under consideration.","authors_text":"E. M. Kreines, N. Ya. Amburg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-16T11:16:40Z","title":"Computation of the first Stiefel-Whitney class for the variety $\\overline{{\\mathcal M}_{0,n}^{\\mathbb R}}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.4372","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:b87c9f72fcd3e29dcaadccd73e784cbfb26d488decc38d399978b41d30b4e111","target":"record","created_at":"2026-05-18T02:39:56Z","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":"ca5ad7a266625875cb4831095f0bdf78532bd9b1cf1e8f1d93ed17824709e23f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-10-16T11:16:40Z","title_canon_sha256":"b2e29a07927fb10bc1d23950493db13438618e70bc02ee95bba38a3864dd32c1"},"schema_version":"1.0","source":{"id":"1410.4372","kind":"arxiv","version":1}},"canonical_sha256":"f0f7359fdc8015661976e70cb18cea24d5890cde5125cf99de02950ee7b35a7f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f0f7359fdc8015661976e70cb18cea24d5890cde5125cf99de02950ee7b35a7f","first_computed_at":"2026-05-18T02:39:56.311549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:56.311549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9vpiut09v6QWpFQ9m04JxKRtTEMXHyHX47gUdgv5467mF5VjJnmzpScemHit1EYWEqjKF5h+lZqD4hU2HEKpCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:56.312017Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.4372","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b87c9f72fcd3e29dcaadccd73e784cbfb26d488decc38d399978b41d30b4e111","sha256:11566423721c0e499fce7492ccb76eaa9ae5c45542e12afc4e9ab4be5b791ea0"],"state_sha256":"69e108879078909aa81d4eb1a1a1832b5f73e3d7518bab545bc4e5e8fe2565c8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X8JB9VDsR1hwvZ9M/FDyI2v8G4XzhBT3KEC5jfkyOIKFk+TuZ3W0bzKLtoD+o347lZMvMQzAFaxtY4dhxH3oAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:02:05.001950Z","bundle_sha256":"cab04fc11511b93926df35a7c19be7dcc35b8a4ae6dd012ed39f4868720323e6"}}