{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:64CA3TDFQ2MRTM5CILYDZD3RNK","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":"68dc4b5b128c3d3af6dd243f6e2835d690e4f8cf750a382aebf45880e6b9006a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-06-14T08:37:25Z","title_canon_sha256":"64046c56de7d06a456b498ef2c769e407feacbab46809f496c76d4704e6b97e5"},"schema_version":"1.0","source":{"id":"1306.3332","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3332","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3332v2","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3332","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"64CA3TDFQ2MR","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"64CA3TDFQ2MRTM5C","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"64CA3TDF","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:1b87cbef85f3e481c1f9b5256a1000fe8a037631c3ff1b0ee421645501cc2c0c","target":"graph","created_at":"2026-05-18T02:28:29Z","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":"The most basic characteristic classes of smooth fibre bundles are the generalised Miller-Morita-Mumford classes, obtained by fibre integrating characteristic classes of the vertical tangent bundle. In this note we show that they may be defined for more general families of manifolds than smooth fibre bundles: smooth block bundles and topological fibre bundles.","authors_text":"Johannes Ebert, Oscar Randal-Williams","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-06-14T08:37:25Z","title":"Generalised Miller-Morita-Mumford classes for block bundles and topological bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3332","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:d98d7755033ca184584f2fa3bb92eb30dd83d755289a707ed33bb6ffc84fbf93","target":"record","created_at":"2026-05-18T02:28:29Z","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":"68dc4b5b128c3d3af6dd243f6e2835d690e4f8cf750a382aebf45880e6b9006a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-06-14T08:37:25Z","title_canon_sha256":"64046c56de7d06a456b498ef2c769e407feacbab46809f496c76d4704e6b97e5"},"schema_version":"1.0","source":{"id":"1306.3332","kind":"arxiv","version":2}},"canonical_sha256":"f7040dcc65869919b3a242f03c8f716aab36f9598b102bdecf2b63456408b02a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7040dcc65869919b3a242f03c8f716aab36f9598b102bdecf2b63456408b02a","first_computed_at":"2026-05-18T02:28:29.433028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:29.433028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8OBai96TKE/IUZVvo7bWTXWVVW6iwfEDrnl130/vNO2iMBcdT2zORNMQ1nH+MuBiMTKC/i62lAQoplSLJw3CBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:29.433586Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.3332","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d98d7755033ca184584f2fa3bb92eb30dd83d755289a707ed33bb6ffc84fbf93","sha256:1b87cbef85f3e481c1f9b5256a1000fe8a037631c3ff1b0ee421645501cc2c0c"],"state_sha256":"5af2759d05c1918b53988a1a565a92b1cf5ab28218cc9871204e5c9045f53c49"}