{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:7CJEHLIBW2MRMTC376ZQLACISO","short_pith_number":"pith:7CJEHLIB","schema_version":"1.0","canonical_sha256":"f89243ad01b699164c5bffb3058048938928df7ed2e21b56cd41fa8f7496089c","source":{"kind":"arxiv","id":"1304.5922","version":1},"attestation_state":"computed","paper":{"title":"Units in Grothendieck-Witt rings and A^1-spherical fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Matthias Wendt","submitted_at":"2013-04-22T12:14:37Z","abstract_excerpt":"In this note, we show that the units in Grothendieck-Witt rings extend to an unramified strictly A^1-invariant sheaf of abelian groups on the category of smooth schemes. This implies that there is an A^1-local classifying space of spherical fibrations."},"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":"1304.5922","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2013-04-22T12:14:37Z","cross_cats_sorted":[],"title_canon_sha256":"563e651d530b5126f870e4e155a7902bfade82776a54ebb2c8b18eeb7370167f","abstract_canon_sha256":"14159698562cce6d8a0b24f16a887b3a3bc1847d80e118cb5dee1d727a460d44"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:23.760107Z","signature_b64":"Q13kckALGb5O/pcYLXGZgh95VVKKOlBpnNNTaCpWTey3J5LoOTy5HGP5EqNSF1/IusDNQbaPc65Wki3Evf7nDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f89243ad01b699164c5bffb3058048938928df7ed2e21b56cd41fa8f7496089c","last_reissued_at":"2026-05-18T03:27:23.759594Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:23.759594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Units in Grothendieck-Witt rings and A^1-spherical fibrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Matthias Wendt","submitted_at":"2013-04-22T12:14:37Z","abstract_excerpt":"In this note, we show that the units in Grothendieck-Witt rings extend to an unramified strictly A^1-invariant sheaf of abelian groups on the category of smooth schemes. This implies that there is an A^1-local classifying space of spherical fibrations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.5922","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1304.5922","created_at":"2026-05-18T03:27:23.759677+00:00"},{"alias_kind":"arxiv_version","alias_value":"1304.5922v1","created_at":"2026-05-18T03:27:23.759677+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.5922","created_at":"2026-05-18T03:27:23.759677+00:00"},{"alias_kind":"pith_short_12","alias_value":"7CJEHLIBW2MR","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"7CJEHLIBW2MRMTC3","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"7CJEHLIB","created_at":"2026-05-18T12:27:36.564083+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/7CJEHLIBW2MRMTC376ZQLACISO","json":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO.json","graph_json":"https://pith.science/api/pith-number/7CJEHLIBW2MRMTC376ZQLACISO/graph.json","events_json":"https://pith.science/api/pith-number/7CJEHLIBW2MRMTC376ZQLACISO/events.json","paper":"https://pith.science/paper/7CJEHLIB"},"agent_actions":{"view_html":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO","download_json":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO.json","view_paper":"https://pith.science/paper/7CJEHLIB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1304.5922&json=true","fetch_graph":"https://pith.science/api/pith-number/7CJEHLIBW2MRMTC376ZQLACISO/graph.json","fetch_events":"https://pith.science/api/pith-number/7CJEHLIBW2MRMTC376ZQLACISO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO/action/storage_attestation","attest_author":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO/action/author_attestation","sign_citation":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO/action/citation_signature","submit_replication":"https://pith.science/pith/7CJEHLIBW2MRMTC376ZQLACISO/action/replication_record"}},"created_at":"2026-05-18T03:27:23.759677+00:00","updated_at":"2026-05-18T03:27:23.759677+00:00"}