{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F6OSAREXI2TMXDAUJBIBWV5RRK","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":"ea858b8fe52f2b38170609543111b6a3eae5c5a8c01af745a9a68cb5b8fd0deb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-01-10T07:44:49Z","title_canon_sha256":"11c1ade854ea6be2900742d032bf8771d909b8fa93e072461e62ddbb899eafc3"},"schema_version":"1.0","source":{"id":"1601.02185","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.02185","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"arxiv_version","alias_value":"1601.02185v1","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02185","created_at":"2026-05-18T01:23:07Z"},{"alias_kind":"pith_short_12","alias_value":"F6OSAREXI2TM","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F6OSAREXI2TMXDAU","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F6OSAREX","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:48c491a52dbc79a3072c04c6abcf295c1765004139fbc59c815ee5ce9c637ed1","target":"graph","created_at":"2026-05-18T01:23:07Z","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":"In this note, we use Curtis's algorithm and the Lambda algebra to compute the algebraic Atiyah-Hirzebruch spectral sequence of the suspension spectrum of $\\mathbb{R}P^\\infty$ with the aid of a computer, which gives us its Adams $E_2$-page in the range of $t<72$. We also compute the transfer map on the Adams $E_2$-pages. These data are used in our computations of the stable homotopy groups of $\\mathbb{R}P^\\infty$ in [6] and of the stable homotopy groups of spheres in [7].","authors_text":"Guozhen Wang, Zhouli Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-01-10T07:44:49Z","title":"The algebraic Atiyah-Hirzebruch spectral sequence of real projective spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02185","kind":"arxiv","version":1},"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":"sha256:5e927d9adc2e1d47b760b989d1b1a18f0962a14a1764e8d9a0ba75c44a6af00f","target":"record","created_at":"2026-05-18T01:23:07Z","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":"ea858b8fe52f2b38170609543111b6a3eae5c5a8c01af745a9a68cb5b8fd0deb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-01-10T07:44:49Z","title_canon_sha256":"11c1ade854ea6be2900742d032bf8771d909b8fa93e072461e62ddbb899eafc3"},"schema_version":"1.0","source":{"id":"1601.02185","kind":"arxiv","version":1}},"canonical_sha256":"2f9d20449746a6cb8c1448501b57b18a9050037872571e6da44bd7f08a4bff3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f9d20449746a6cb8c1448501b57b18a9050037872571e6da44bd7f08a4bff3c","first_computed_at":"2026-05-18T01:23:07.077478Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:07.077478Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0DRzZFwQxlgPG1vuZym/Srf+EsizbXYtyTH8Wp5dq72Iacw+zYklGKDOyeM7q6l+DhraWFqZluOR5xdJJC+iAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:07.077914Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.02185","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e927d9adc2e1d47b760b989d1b1a18f0962a14a1764e8d9a0ba75c44a6af00f","sha256:48c491a52dbc79a3072c04c6abcf295c1765004139fbc59c815ee5ce9c637ed1"],"state_sha256":"a273bf3bd34d4bf235219069adb10ecbbba4b4e83f4edbefcd636bb41cd02d09"}