{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:EIT4AIBSRHPPZZAKDJWUOM5DTI","short_pith_number":"pith:EIT4AIBS","schema_version":"1.0","canonical_sha256":"2227c0203289defce40a1a6d4733a39a3207c6494638b9c05f69de4a6d125082","source":{"kind":"arxiv","id":"1211.3557","version":2},"attestation_state":"computed","paper":{"title":"Mackey functors and sharpness for fusion systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Antonio D\\'iaz, Sejong Park","submitted_at":"2012-11-15T10:13:00Z","abstract_excerpt":"We develop the fundamentals of Mackey functors in the setup of fusion systems including an acyclicity condition as well as a parametrization and an explicit description of simple Mackey functors. Using this machinery we extend Dwyer's sharpness results to exotic fusion systems $\\mathcal{F}$ on a finite $p$-group $S$ with an abelian subgroup of index $p$."},"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":"1211.3557","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-11-15T10:13:00Z","cross_cats_sorted":[],"title_canon_sha256":"9bb72c61ac9eb9de07a605a94979a253ad12d3d285da4f2efa5d0564b042a3cf","abstract_canon_sha256":"d23bc50c59aeca2367efabc05f78d472a30461bd786f061adb5b64dd123d430e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:31.203221Z","signature_b64":"3SPfR/4gQ/y2M1nqkgPpSsoupPtl37+gRfwLtHUa6mhYt7H5gUCCbDReUPy3sZWHxPOvaZ7zbeF7OcTboYFDBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2227c0203289defce40a1a6d4733a39a3207c6494638b9c05f69de4a6d125082","last_reissued_at":"2026-05-18T02:32:31.202814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:31.202814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mackey functors and sharpness for fusion systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Antonio D\\'iaz, Sejong Park","submitted_at":"2012-11-15T10:13:00Z","abstract_excerpt":"We develop the fundamentals of Mackey functors in the setup of fusion systems including an acyclicity condition as well as a parametrization and an explicit description of simple Mackey functors. Using this machinery we extend Dwyer's sharpness results to exotic fusion systems $\\mathcal{F}$ on a finite $p$-group $S$ with an abelian subgroup of index $p$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.3557","kind":"arxiv","version":2},"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":"1211.3557","created_at":"2026-05-18T02:32:31.202879+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.3557v2","created_at":"2026-05-18T02:32:31.202879+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.3557","created_at":"2026-05-18T02:32:31.202879+00:00"},{"alias_kind":"pith_short_12","alias_value":"EIT4AIBSRHPP","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"EIT4AIBSRHPPZZAK","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"EIT4AIBS","created_at":"2026-05-18T12:27:04.183437+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/EIT4AIBSRHPPZZAKDJWUOM5DTI","json":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI.json","graph_json":"https://pith.science/api/pith-number/EIT4AIBSRHPPZZAKDJWUOM5DTI/graph.json","events_json":"https://pith.science/api/pith-number/EIT4AIBSRHPPZZAKDJWUOM5DTI/events.json","paper":"https://pith.science/paper/EIT4AIBS"},"agent_actions":{"view_html":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI","download_json":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI.json","view_paper":"https://pith.science/paper/EIT4AIBS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.3557&json=true","fetch_graph":"https://pith.science/api/pith-number/EIT4AIBSRHPPZZAKDJWUOM5DTI/graph.json","fetch_events":"https://pith.science/api/pith-number/EIT4AIBSRHPPZZAKDJWUOM5DTI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI/action/storage_attestation","attest_author":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI/action/author_attestation","sign_citation":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI/action/citation_signature","submit_replication":"https://pith.science/pith/EIT4AIBSRHPPZZAKDJWUOM5DTI/action/replication_record"}},"created_at":"2026-05-18T02:32:31.202879+00:00","updated_at":"2026-05-18T02:32:31.202879+00:00"}