{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:RWWLAKDCQLWMM5ZLDALN7SWMRX","short_pith_number":"pith:RWWLAKDC","schema_version":"1.0","canonical_sha256":"8dacb0286282ecc6772b1816dfcacc8de5ddfa297c136ad365163bf9652e995d","source":{"kind":"arxiv","id":"1210.7258","version":4},"attestation_state":"computed","paper":{"title":"Scales in hybrid mice over $\\mathbb{R}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Farmer Schlutzenberg, Nam Trang","submitted_at":"2012-10-26T21:40:03Z","abstract_excerpt":"We develop a general theory of strategic mice, prove their condensation properties, and analyze the scales pattern in the stack of $\\Theta$-g-organized $\\mathcal{F}$-mice over $\\mathbb{R}$, Lp$^{G\\mathcal{F}}(\\mathbb{R})$, for a class of nice operators $\\mathcal{F}$."},"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":"1210.7258","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.LO","submitted_at":"2012-10-26T21:40:03Z","cross_cats_sorted":[],"title_canon_sha256":"be20555a326d6828b0fcc789afaa182342a6447be54ff4488784ac8cca65458e","abstract_canon_sha256":"541b72e52e3f3ffb125120d120355d6e77378b380b6c0af53115dae777904663"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:38.159140Z","signature_b64":"z1Y9OzA3vVUb77FWYDMvaILTS3ycLGsa4wTlo252FmvhnjHuMwEE7yjWl2J4uafHdssZqkL3knmnLdyzvvNrDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dacb0286282ecc6772b1816dfcacc8de5ddfa297c136ad365163bf9652e995d","last_reissued_at":"2026-05-18T01:17:38.158604Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:38.158604Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Scales in hybrid mice over $\\mathbb{R}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.LO","authors_text":"Farmer Schlutzenberg, Nam Trang","submitted_at":"2012-10-26T21:40:03Z","abstract_excerpt":"We develop a general theory of strategic mice, prove their condensation properties, and analyze the scales pattern in the stack of $\\Theta$-g-organized $\\mathcal{F}$-mice over $\\mathbb{R}$, Lp$^{G\\mathcal{F}}(\\mathbb{R})$, for a class of nice operators $\\mathcal{F}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.7258","kind":"arxiv","version":4},"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":"1210.7258","created_at":"2026-05-18T01:17:38.158673+00:00"},{"alias_kind":"arxiv_version","alias_value":"1210.7258v4","created_at":"2026-05-18T01:17:38.158673+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.7258","created_at":"2026-05-18T01:17:38.158673+00:00"},{"alias_kind":"pith_short_12","alias_value":"RWWLAKDCQLWM","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"RWWLAKDCQLWMM5ZL","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"RWWLAKDC","created_at":"2026-05-18T12:27:20.899486+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/RWWLAKDCQLWMM5ZLDALN7SWMRX","json":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX.json","graph_json":"https://pith.science/api/pith-number/RWWLAKDCQLWMM5ZLDALN7SWMRX/graph.json","events_json":"https://pith.science/api/pith-number/RWWLAKDCQLWMM5ZLDALN7SWMRX/events.json","paper":"https://pith.science/paper/RWWLAKDC"},"agent_actions":{"view_html":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX","download_json":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX.json","view_paper":"https://pith.science/paper/RWWLAKDC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1210.7258&json=true","fetch_graph":"https://pith.science/api/pith-number/RWWLAKDCQLWMM5ZLDALN7SWMRX/graph.json","fetch_events":"https://pith.science/api/pith-number/RWWLAKDCQLWMM5ZLDALN7SWMRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX/action/storage_attestation","attest_author":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX/action/author_attestation","sign_citation":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX/action/citation_signature","submit_replication":"https://pith.science/pith/RWWLAKDCQLWMM5ZLDALN7SWMRX/action/replication_record"}},"created_at":"2026-05-18T01:17:38.158673+00:00","updated_at":"2026-05-18T01:17:38.158673+00:00"}