{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:E5NPRTVDHMJWKVBJYTPFHYX4TI","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":"01d0337bb806660f09180bc739bc9a39c4ec19f266948604d7bef1ebcfd49058","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-08-22T13:49:14Z","title_canon_sha256":"3dfe03edc5d2671003943dc894c1f94f6db0bb0b0f2b0f6475f40350fef966f2"},"schema_version":"1.0","source":{"id":"1908.08378","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.08378","created_at":"2026-07-05T01:23:05Z"},{"alias_kind":"arxiv_version","alias_value":"1908.08378v3","created_at":"2026-07-05T01:23:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.08378","created_at":"2026-07-05T01:23:05Z"},{"alias_kind":"pith_short_12","alias_value":"E5NPRTVDHMJW","created_at":"2026-07-05T01:23:05Z"},{"alias_kind":"pith_short_16","alias_value":"E5NPRTVDHMJWKVBJ","created_at":"2026-07-05T01:23:05Z"},{"alias_kind":"pith_short_8","alias_value":"E5NPRTVD","created_at":"2026-07-05T01:23:05Z"}],"graph_snapshots":[{"event_id":"sha256:c817d9567292020b66446efafeb367766e498ef4c0ac93325cc8232bead61f38","target":"graph","created_at":"2026-07-05T01:23:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.08378/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a method for computing the C_2-equivariant homotopy groups of the Betti realization of a p-complete cellular motivic spectrum over R in terms of its motivic homotopy groups. More generally, we show that Betti realization presents the C_2-equivariant p-complete stable homotopy category as a localization of the p-complete cellular real motivic stable homotopy category.","authors_text":"Jay Shah, Mark Behrens","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-08-22T13:49:14Z","title":"C_2-equivariant stable homotopy from real motivic stable homotopy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.08378","kind":"arxiv","version":3},"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":"sha256:80388647dda4d3450c767d652d444e32930f24bc0f974f400e6b79fbfaa92a8e","target":"record","created_at":"2026-07-05T01:23:05Z","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":"01d0337bb806660f09180bc739bc9a39c4ec19f266948604d7bef1ebcfd49058","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-08-22T13:49:14Z","title_canon_sha256":"3dfe03edc5d2671003943dc894c1f94f6db0bb0b0f2b0f6475f40350fef966f2"},"schema_version":"1.0","source":{"id":"1908.08378","kind":"arxiv","version":3}},"canonical_sha256":"275af8cea33b13655429c4de53e2fc9a122a45b7c19efe16e5df16e58ed1616e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"275af8cea33b13655429c4de53e2fc9a122a45b7c19efe16e5df16e58ed1616e","first_computed_at":"2026-07-05T01:23:05.214280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:23:05.214280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZIXIlASdAgdU+jCKYxkOdMl27WUF/Wkt1Q7IhNuHyXzE3XIKFgvrbCvstpWnFNWHslPzsCYMmd0a3rgqmOn6Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:23:05.214717Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.08378","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80388647dda4d3450c767d652d444e32930f24bc0f974f400e6b79fbfaa92a8e","sha256:c817d9567292020b66446efafeb367766e498ef4c0ac93325cc8232bead61f38"],"state_sha256":"2881b6e5666bde0350ba8584f2e06557f13ca17daa6933fbb7d340fc3f346732"}