{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:K2RPJ2QREBOJRN25MJYDJ2KLS4","short_pith_number":"pith:K2RPJ2QR","schema_version":"1.0","canonical_sha256":"56a2f4ea11205c98b75d627034e94b972f6272e5acd9d96cd19b750c2dddd5a2","source":{"kind":"arxiv","id":"1802.02609","version":2},"attestation_state":"computed","paper":{"title":"On characteristic classes of exotic manifold bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AT","authors_text":"Manuel Krannich","submitted_at":"2018-02-07T19:33:51Z","abstract_excerpt":"Given a closed simply connected manifold $M$ of dimension $2n\\ge6$, we compare the ring of characteristic classes of smooth oriented bundles with fibre $M$ to the analogous ring resulting from replacing $M$ by the connected sum $M\\sharp\\Sigma$ with an exotic sphere $\\Sigma$. We show that, after inverting the order of $\\Sigma$ in the group of homotopy spheres, the two rings in question are isomorphic in a range of degrees. Furthermore, we construct infinite families of examples witnessing that inverting the order of $\\Sigma$ is necessary."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1802.02609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2018-02-07T19:33:51Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"123469cbc2eb395007e908fb73f3f153aeec35dad573c437aac314421586ecf6","abstract_canon_sha256":"fca5bb22294ae76c63846e92567c7c840a547d30f44248172a370ab33f6b812c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:55:23.423696Z","signature_b64":"sh1TGYz5RAOWHKXOEwrimY2QVo/Fp2iUdIr+5H5tasxOo2Kzmuga5bXOQPEfCykHqGT3pgcYb4F0tQ8GzwgiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56a2f4ea11205c98b75d627034e94b972f6272e5acd9d96cd19b750c2dddd5a2","last_reissued_at":"2026-07-05T03:55:23.423295Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:55:23.423295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On characteristic classes of exotic manifold bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.AT","authors_text":"Manuel Krannich","submitted_at":"2018-02-07T19:33:51Z","abstract_excerpt":"Given a closed simply connected manifold $M$ of dimension $2n\\ge6$, we compare the ring of characteristic classes of smooth oriented bundles with fibre $M$ to the analogous ring resulting from replacing $M$ by the connected sum $M\\sharp\\Sigma$ with an exotic sphere $\\Sigma$. We show that, after inverting the order of $\\Sigma$ in the group of homotopy spheres, the two rings in question are isomorphic in a range of degrees. Furthermore, we construct infinite families of examples witnessing that inverting the order of $\\Sigma$ is necessary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.02609","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1802.02609/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1802.02609","created_at":"2026-07-05T03:55:23.423362+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.02609v2","created_at":"2026-07-05T03:55:23.423362+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.02609","created_at":"2026-07-05T03:55:23.423362+00:00"},{"alias_kind":"pith_short_12","alias_value":"K2RPJ2QREBOJ","created_at":"2026-07-05T03:55:23.423362+00:00"},{"alias_kind":"pith_short_16","alias_value":"K2RPJ2QREBOJRN25","created_at":"2026-07-05T03:55:23.423362+00:00"},{"alias_kind":"pith_short_8","alias_value":"K2RPJ2QR","created_at":"2026-07-05T03:55:23.423362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4","json":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4.json","graph_json":"https://pith.science/api/pith-number/K2RPJ2QREBOJRN25MJYDJ2KLS4/graph.json","events_json":"https://pith.science/api/pith-number/K2RPJ2QREBOJRN25MJYDJ2KLS4/events.json","paper":"https://pith.science/paper/K2RPJ2QR"},"agent_actions":{"view_html":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4","download_json":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4.json","view_paper":"https://pith.science/paper/K2RPJ2QR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.02609&json=true","fetch_graph":"https://pith.science/api/pith-number/K2RPJ2QREBOJRN25MJYDJ2KLS4/graph.json","fetch_events":"https://pith.science/api/pith-number/K2RPJ2QREBOJRN25MJYDJ2KLS4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4/action/storage_attestation","attest_author":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4/action/author_attestation","sign_citation":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4/action/citation_signature","submit_replication":"https://pith.science/pith/K2RPJ2QREBOJRN25MJYDJ2KLS4/action/replication_record"}},"created_at":"2026-07-05T03:55:23.423362+00:00","updated_at":"2026-07-05T03:55:23.423362+00:00"}