{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:XGDIIGWMTRJZU7D7SSHNJAMHAF","short_pith_number":"pith:XGDIIGWM","schema_version":"1.0","canonical_sha256":"b986841acc9c539a7c7f948ed4818701581cccac28bddeda0c37271de103a11d","source":{"kind":"arxiv","id":"1608.08094","version":1},"attestation_state":"computed","paper":{"title":"A fixed-point-free map of a tree-like continuum induced by bounded valence maps on trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"L. C. Hoehn, Rodrigo Hern\\'andez-Guti\\'errez","submitted_at":"2016-08-29T14:58:25Z","abstract_excerpt":"Towards attaining a better working understanding of fixed points of maps of tree-like continua, Oversteegen and Rogers constructed a tree-like continuum with a fixed-point-free self-map, described explicitly in terms of inverse limits. Specifically, they developed a sequence of trees $T_n$, $n \\in \\mathbb{N}$ and maps $f_n$ and $g_n$ from $T_{n+1}$ to $T_n$ for each $n$, such that the $g_n$ maps induce a fixed-point-free self-map of the inverse limit space $\\varprojlim (T_n,f_n)$.\n  The complexity of the trees and the valences of the maps in their example all grow exponentially with $n$, makin"},"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":"1608.08094","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2016-08-29T14:58:25Z","cross_cats_sorted":[],"title_canon_sha256":"d2477c7d1ac767674d442cd051f2bd710e2886b2a4352bb4f26a83c447d98446","abstract_canon_sha256":"1a69b595b2c77b9ebb057b62061b551dc8702f5f88c9be63584251cb6fbe618c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:05:34.715574Z","signature_b64":"Jk/FDt2UgT1T//jquLO8MGbe57sxX+nbX6PgaHU8Q7/n/tD/uQmoYG4AxjUrbYRoFCIGOoeuOACIHmXXm2n1Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b986841acc9c539a7c7f948ed4818701581cccac28bddeda0c37271de103a11d","last_reissued_at":"2026-05-18T00:05:34.715183Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:05:34.715183Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A fixed-point-free map of a tree-like continuum induced by bounded valence maps on trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GN","authors_text":"L. C. Hoehn, Rodrigo Hern\\'andez-Guti\\'errez","submitted_at":"2016-08-29T14:58:25Z","abstract_excerpt":"Towards attaining a better working understanding of fixed points of maps of tree-like continua, Oversteegen and Rogers constructed a tree-like continuum with a fixed-point-free self-map, described explicitly in terms of inverse limits. Specifically, they developed a sequence of trees $T_n$, $n \\in \\mathbb{N}$ and maps $f_n$ and $g_n$ from $T_{n+1}$ to $T_n$ for each $n$, such that the $g_n$ maps induce a fixed-point-free self-map of the inverse limit space $\\varprojlim (T_n,f_n)$.\n  The complexity of the trees and the valences of the maps in their example all grow exponentially with $n$, makin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08094","kind":"arxiv","version":1},"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":"1608.08094","created_at":"2026-05-18T00:05:34.715245+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.08094v1","created_at":"2026-05-18T00:05:34.715245+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08094","created_at":"2026-05-18T00:05:34.715245+00:00"},{"alias_kind":"pith_short_12","alias_value":"XGDIIGWMTRJZ","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"XGDIIGWMTRJZU7D7","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"XGDIIGWM","created_at":"2026-05-18T12:30:51.357362+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/XGDIIGWMTRJZU7D7SSHNJAMHAF","json":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF.json","graph_json":"https://pith.science/api/pith-number/XGDIIGWMTRJZU7D7SSHNJAMHAF/graph.json","events_json":"https://pith.science/api/pith-number/XGDIIGWMTRJZU7D7SSHNJAMHAF/events.json","paper":"https://pith.science/paper/XGDIIGWM"},"agent_actions":{"view_html":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF","download_json":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF.json","view_paper":"https://pith.science/paper/XGDIIGWM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.08094&json=true","fetch_graph":"https://pith.science/api/pith-number/XGDIIGWMTRJZU7D7SSHNJAMHAF/graph.json","fetch_events":"https://pith.science/api/pith-number/XGDIIGWMTRJZU7D7SSHNJAMHAF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF/action/storage_attestation","attest_author":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF/action/author_attestation","sign_citation":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF/action/citation_signature","submit_replication":"https://pith.science/pith/XGDIIGWMTRJZU7D7SSHNJAMHAF/action/replication_record"}},"created_at":"2026-05-18T00:05:34.715245+00:00","updated_at":"2026-05-18T00:05:34.715245+00:00"}