{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TAUSBMEQ2BXWYAECSZQIL6T37F","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":"de5926394d76c51fcfb43862236b1c9e949aa608925d7f17daebc6caf28fa230","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-01T18:59:55Z","title_canon_sha256":"f274380b4c7501a972478bb2a5866d02922e579b917d52bbcc5c607e9ff2e744"},"schema_version":"1.0","source":{"id":"1709.00446","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.00446","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"arxiv_version","alias_value":"1709.00446v2","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.00446","created_at":"2026-05-17T23:57:32Z"},{"alias_kind":"pith_short_12","alias_value":"TAUSBMEQ2BXW","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"TAUSBMEQ2BXWYAEC","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"TAUSBMEQ","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:71a7b216c19a2256676bad617a22cdd66df797135e4d19d5299ec4d61e912988","target":"graph","created_at":"2026-05-17T23:57:32Z","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 paper, we study the structure of the fixed point sets of noncommutative self maps of the free ball. We show that for such a map that fixes the origin the fixed point set on every level is the intersection of the ball with a linear subspace. We provide an application for the completely isometric isomorphism problem of multiplier algebras of noncommutative complete Pick spaces.","authors_text":"Eli Shamovich","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-01T18:59:55Z","title":"On fixed points of self maps of the free ball"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.00446","kind":"arxiv","version":2},"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:add58c2f94b066b97ff9cddebc389d1f9293cc3095807b455f06733c3ae3f5f5","target":"record","created_at":"2026-05-17T23:57:32Z","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":"de5926394d76c51fcfb43862236b1c9e949aa608925d7f17daebc6caf28fa230","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2017-09-01T18:59:55Z","title_canon_sha256":"f274380b4c7501a972478bb2a5866d02922e579b917d52bbcc5c607e9ff2e744"},"schema_version":"1.0","source":{"id":"1709.00446","kind":"arxiv","version":2}},"canonical_sha256":"982920b090d06f6c0082966085fa7bf97f80db56e9ec80108deedc43cdcb5549","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"982920b090d06f6c0082966085fa7bf97f80db56e9ec80108deedc43cdcb5549","first_computed_at":"2026-05-17T23:57:32.678208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:32.678208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hspa5cmy13e7Ag3gQSd+xZsxXCNwPb604KL8ynkBuFHChAlalLN2IVQ628SXaaQ4jx1QZbm4iIuuuz5MOeDiBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:32.678864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.00446","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:add58c2f94b066b97ff9cddebc389d1f9293cc3095807b455f06733c3ae3f5f5","sha256:71a7b216c19a2256676bad617a22cdd66df797135e4d19d5299ec4d61e912988"],"state_sha256":"924a40461f61be3b0cb7135640333b7efcca0c9eaf76b9f96fa0f0ae6dccf94a"}