{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:6D24HIWUNEIRU4TWN7DPOZ455K","short_pith_number":"pith:6D24HIWU","schema_version":"1.0","canonical_sha256":"f0f5c3a2d469111a72766fc6f7679deaa30f7e6e02f95a88c5d8fe5c835dbf51","source":{"kind":"arxiv","id":"1610.10044","version":1},"attestation_state":"computed","paper":{"title":"A Grothendieck-Witt space for stable infinity categories with duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.CT"],"primary_cat":"math.KT","authors_text":"Markus Spitzweck","submitted_at":"2016-10-31T18:14:27Z","abstract_excerpt":"We construct a Grothendieck-Witt space for any stable infinity category with duality. If we apply our construction to perfect complexes over a commutative ring in which 2 is invertible we recover the classical Grothendieck-Witt space. Our Grothendieck-Witt space is a grouplike E-infinity space which is part of a genuine C_2-spectrum, the connective real K-theory spectrum."},"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":"1610.10044","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-10-31T18:14:27Z","cross_cats_sorted":["math.AT","math.CT"],"title_canon_sha256":"c01b3fe1b59db6b394d14d1f414a5db12ce82303c9a32472763516317c6914ac","abstract_canon_sha256":"c2aa3864ef54c4b109040e004948c61a723715772214358357fb5ec74fcc77e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:46.672324Z","signature_b64":"EjWWMQS3fzsHGTDSE0ojQKJQuLRnEFrvbOLXqcx/q5znXjYUUpt6fqwMO6PUxJZzCv0h4+3+dykCUPeAlEtNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f0f5c3a2d469111a72766fc6f7679deaa30f7e6e02f95a88c5d8fe5c835dbf51","last_reissued_at":"2026-05-18T01:00:46.671930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:46.671930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Grothendieck-Witt space for stable infinity categories with duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.CT"],"primary_cat":"math.KT","authors_text":"Markus Spitzweck","submitted_at":"2016-10-31T18:14:27Z","abstract_excerpt":"We construct a Grothendieck-Witt space for any stable infinity category with duality. If we apply our construction to perfect complexes over a commutative ring in which 2 is invertible we recover the classical Grothendieck-Witt space. Our Grothendieck-Witt space is a grouplike E-infinity space which is part of a genuine C_2-spectrum, the connective real K-theory spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.10044","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":"1610.10044","created_at":"2026-05-18T01:00:46.671986+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.10044v1","created_at":"2026-05-18T01:00:46.671986+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.10044","created_at":"2026-05-18T01:00:46.671986+00:00"},{"alias_kind":"pith_short_12","alias_value":"6D24HIWUNEIR","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_16","alias_value":"6D24HIWUNEIRU4TW","created_at":"2026-05-18T12:30:01.593930+00:00"},{"alias_kind":"pith_short_8","alias_value":"6D24HIWU","created_at":"2026-05-18T12:30:01.593930+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2009.07225","citing_title":"Hermitian K-theory for stable $\\infty$-categories III: Grothendieck-Witt groups of rings","ref_index":18,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K","json":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K.json","graph_json":"https://pith.science/api/pith-number/6D24HIWUNEIRU4TWN7DPOZ455K/graph.json","events_json":"https://pith.science/api/pith-number/6D24HIWUNEIRU4TWN7DPOZ455K/events.json","paper":"https://pith.science/paper/6D24HIWU"},"agent_actions":{"view_html":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K","download_json":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K.json","view_paper":"https://pith.science/paper/6D24HIWU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.10044&json=true","fetch_graph":"https://pith.science/api/pith-number/6D24HIWUNEIRU4TWN7DPOZ455K/graph.json","fetch_events":"https://pith.science/api/pith-number/6D24HIWUNEIRU4TWN7DPOZ455K/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K/action/storage_attestation","attest_author":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K/action/author_attestation","sign_citation":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K/action/citation_signature","submit_replication":"https://pith.science/pith/6D24HIWUNEIRU4TWN7DPOZ455K/action/replication_record"}},"created_at":"2026-05-18T01:00:46.671986+00:00","updated_at":"2026-05-18T01:00:46.671986+00:00"}