{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2V77ZYEPYQU4OYZACMUSDWLSBC","short_pith_number":"pith:2V77ZYEP","canonical_record":{"source":{"id":"1801.04989","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-15T20:28:29Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"55363d8ae7ab687b95ef9a35b165162117490a081fc71f6e13fdcb24f8ae46a9","abstract_canon_sha256":"67e55ceab453024ebaddc6ffbf35dbbcff7f6368aa6fd426fba4db93dd8c3f52"},"schema_version":"1.0"},"canonical_sha256":"d57ffce08fc429c76320132921d9720894d0d990df902853fb067f18e05d195c","source":{"kind":"arxiv","id":"1801.04989","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04989","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04989v2","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04989","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"2V77ZYEPYQU4","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2V77ZYEPYQU4OYZA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2V77ZYEP","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2V77ZYEPYQU4OYZACMUSDWLSBC","target":"record","payload":{"canonical_record":{"source":{"id":"1801.04989","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-15T20:28:29Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"55363d8ae7ab687b95ef9a35b165162117490a081fc71f6e13fdcb24f8ae46a9","abstract_canon_sha256":"67e55ceab453024ebaddc6ffbf35dbbcff7f6368aa6fd426fba4db93dd8c3f52"},"schema_version":"1.0"},"canonical_sha256":"d57ffce08fc429c76320132921d9720894d0d990df902853fb067f18e05d195c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:49.636904Z","signature_b64":"yjtyPbDR3K16g86zyNadqXtHVH2Q2q2WGrgrFAcKY3Im8/WJXhOyLLIWurww+i5U2uA8I69JXofWpAw3oJnwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d57ffce08fc429c76320132921d9720894d0d990df902853fb067f18e05d195c","last_reissued_at":"2026-05-18T00:02:49.636300Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:49.636300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.04989","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6zGrGw2hY1muoi6kPFzAV2Ou8akTbECn6wVvDzyEGJyQJ6N3CK6nxQiacb8lMR3ISuFMbrGLvrSXPIdwsh8jDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:42:30.684510Z"},"content_sha256":"9d0aced1d38d072d1ad27af7be04ba3c7e9ae9d3d2356db5584c4497cd428a1f","schema_version":"1.0","event_id":"sha256:9d0aced1d38d072d1ad27af7be04ba3c7e9ae9d3d2356db5584c4497cd428a1f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2V77ZYEPYQU4OYZACMUSDWLSBC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$m$-cluster tilted algebras of euclidean type","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.RT","authors_text":"Ana Garcia Elsener, Elsa Fern\\'andez, Sonia Trepode","submitted_at":"2018-01-15T20:28:29Z","abstract_excerpt":"We consider $m$-cluster tilted algebras arising from quivers of Euclidean type and we give necessary and sufficient conditions for those algebras to be representation finite. For the case $\\widetilde{A}$, using the geometric realization, we get a description of representation finite type in terms of $(m+2)$-angulations. We establish which $m$-cluster tilted algebras arise at the same time from quivers of type $A$ and $\\widetilde{A}$. Finally, we characterize representation infinite $m$-cluster tilted algebras arising from a quiver of type $\\widetilde{A}$ as $m$-relations extensions of some ite"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04989","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b+q2FvPY9QP9GtfwlPFfBx6anEmij5oUG4MmyYgs3vuKBokPVMjXZDFSpJlW6/rcM0hgq/jC2ynSOGJyIII3Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T09:42:30.684874Z"},"content_sha256":"81f7424e7b4e9962d3af3f070b07b84c2df525cfab811da1b34bc33829a3ef24","schema_version":"1.0","event_id":"sha256:81f7424e7b4e9962d3af3f070b07b84c2df525cfab811da1b34bc33829a3ef24"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2V77ZYEPYQU4OYZACMUSDWLSBC/bundle.json","state_url":"https://pith.science/pith/2V77ZYEPYQU4OYZACMUSDWLSBC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2V77ZYEPYQU4OYZACMUSDWLSBC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-11T09:42:30Z","links":{"resolver":"https://pith.science/pith/2V77ZYEPYQU4OYZACMUSDWLSBC","bundle":"https://pith.science/pith/2V77ZYEPYQU4OYZACMUSDWLSBC/bundle.json","state":"https://pith.science/pith/2V77ZYEPYQU4OYZACMUSDWLSBC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2V77ZYEPYQU4OYZACMUSDWLSBC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2V77ZYEPYQU4OYZACMUSDWLSBC","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":"67e55ceab453024ebaddc6ffbf35dbbcff7f6368aa6fd426fba4db93dd8c3f52","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-15T20:28:29Z","title_canon_sha256":"55363d8ae7ab687b95ef9a35b165162117490a081fc71f6e13fdcb24f8ae46a9"},"schema_version":"1.0","source":{"id":"1801.04989","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.04989","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"arxiv_version","alias_value":"1801.04989v2","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.04989","created_at":"2026-05-18T00:02:49Z"},{"alias_kind":"pith_short_12","alias_value":"2V77ZYEPYQU4","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2V77ZYEPYQU4OYZA","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2V77ZYEP","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:81f7424e7b4e9962d3af3f070b07b84c2df525cfab811da1b34bc33829a3ef24","target":"graph","created_at":"2026-05-18T00:02:49Z","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":"We consider $m$-cluster tilted algebras arising from quivers of Euclidean type and we give necessary and sufficient conditions for those algebras to be representation finite. For the case $\\widetilde{A}$, using the geometric realization, we get a description of representation finite type in terms of $(m+2)$-angulations. We establish which $m$-cluster tilted algebras arise at the same time from quivers of type $A$ and $\\widetilde{A}$. Finally, we characterize representation infinite $m$-cluster tilted algebras arising from a quiver of type $\\widetilde{A}$ as $m$-relations extensions of some ite","authors_text":"Ana Garcia Elsener, Elsa Fern\\'andez, Sonia Trepode","cross_cats":["math.RA"],"headline":"","license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-15T20:28:29Z","title":"$m$-cluster tilted algebras of euclidean type"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04989","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":"sha256:9d0aced1d38d072d1ad27af7be04ba3c7e9ae9d3d2356db5584c4497cd428a1f","target":"record","created_at":"2026-05-18T00:02:49Z","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":"67e55ceab453024ebaddc6ffbf35dbbcff7f6368aa6fd426fba4db93dd8c3f52","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"math.RT","submitted_at":"2018-01-15T20:28:29Z","title_canon_sha256":"55363d8ae7ab687b95ef9a35b165162117490a081fc71f6e13fdcb24f8ae46a9"},"schema_version":"1.0","source":{"id":"1801.04989","kind":"arxiv","version":2}},"canonical_sha256":"d57ffce08fc429c76320132921d9720894d0d990df902853fb067f18e05d195c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d57ffce08fc429c76320132921d9720894d0d990df902853fb067f18e05d195c","first_computed_at":"2026-05-18T00:02:49.636300Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:49.636300Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yjtyPbDR3K16g86zyNadqXtHVH2Q2q2WGrgrFAcKY3Im8/WJXhOyLLIWurww+i5U2uA8I69JXofWpAw3oJnwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:49.636904Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.04989","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d0aced1d38d072d1ad27af7be04ba3c7e9ae9d3d2356db5584c4497cd428a1f","sha256:81f7424e7b4e9962d3af3f070b07b84c2df525cfab811da1b34bc33829a3ef24"],"state_sha256":"df69f2b38ae6ad2b438578daa55ef57cfe4f699f0adf4976894e1179b1d65879"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bpS1IkUI0VKNWDosWf0iWCk+DpD+L5pOqiU0EPLiYu0KQ31g4vku7wZUcuVDZ2Ns+89Ktq/YDKMhnQbOuTfsCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T09:42:30.686837Z","bundle_sha256":"081a732727b3e185cdf863eca1e9a6e24be840156faa6d27e95c8ebff12859cb"}}