{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FSCURAEZZDJVH67IMFRVUGJ6PM","short_pith_number":"pith:FSCURAEZ","canonical_record":{"source":{"id":"1403.6814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-26T19:53:28Z","cross_cats_sorted":[],"title_canon_sha256":"a0fa95d57a26f5d8148db74926ea18d4307a6fc168739e738cc47ffac5947aae","abstract_canon_sha256":"d7e52b7b2fdb054896aaf4d9444fb0979b1c1400b8a52911b3cb02762bd84792"},"schema_version":"1.0"},"canonical_sha256":"2c85488099c8d353fbe861635a193e7b342eb9f31a071b8bb75055924dce5d31","source":{"kind":"arxiv","id":"1403.6814","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6814","created_at":"2026-05-18T02:55:28Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6814v1","created_at":"2026-05-18T02:55:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6814","created_at":"2026-05-18T02:55:28Z"},{"alias_kind":"pith_short_12","alias_value":"FSCURAEZZDJV","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FSCURAEZZDJVH67I","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FSCURAEZ","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FSCURAEZZDJVH67IMFRVUGJ6PM","target":"record","payload":{"canonical_record":{"source":{"id":"1403.6814","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-26T19:53:28Z","cross_cats_sorted":[],"title_canon_sha256":"a0fa95d57a26f5d8148db74926ea18d4307a6fc168739e738cc47ffac5947aae","abstract_canon_sha256":"d7e52b7b2fdb054896aaf4d9444fb0979b1c1400b8a52911b3cb02762bd84792"},"schema_version":"1.0"},"canonical_sha256":"2c85488099c8d353fbe861635a193e7b342eb9f31a071b8bb75055924dce5d31","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:28.032478Z","signature_b64":"czgcza9GED20LAbESlomBiEI/uGVCwy/aNKuOKDwPOdZpS21hYW0Pa+Oig1hGZ0mnMH3M/Q1+NUhFaqX+QxwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c85488099c8d353fbe861635a193e7b342eb9f31a071b8bb75055924dce5d31","last_reissued_at":"2026-05-18T02:55:28.031980Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:28.031980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.6814","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mSALb7oGqzv4B5SSa6SlVicvG0eIIE8pXj2w0pTZDRF2eZNPFWKQVOpZn9pVA7fYrn7GxaG6pml8Q5rKEd2mCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T23:52:07.809361Z"},"content_sha256":"4c1574e5784219391130acf14e381e8beef089a08605f02cf23fd3d5d3a2dc5c","schema_version":"1.0","event_id":"sha256:4c1574e5784219391130acf14e381e8beef089a08605f02cf23fd3d5d3a2dc5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FSCURAEZZDJVH67IMFRVUGJ6PM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2-CY-tilted algebras that are not Jacobian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Sefi Ladkani","submitted_at":"2014-03-26T19:53:28Z","abstract_excerpt":"Over any field of positive characteristic we construct 2-CY-tilted algebras that are not Jacobian algebras of quivers with potentials. As a remedy, we propose an extension of the notion of a potential, called hyperpotential, that allows to prove that certain algebras defined over fields of positive characteristic are 2-CY-tilted even if they do not arise from potentials.\n  In another direction, we compute the fractionally Calabi-Yau dimensions of certain orbit categories of fractionally CY triangulated categories. As an application, we construct a cluster category of type $G_2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6814","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+JbbBGEnhDih9FiiepeBnqKoP78uWxgGwBdP/+sCjqwxOWKbMQELrhR5FdZZUAc7u5CEfOT9cYD9UoBnX2TPCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T23:52:07.810162Z"},"content_sha256":"784657d16a60dd30244626ff0cd365e0aa9e60fa0a21292b1a78806c42d6ceb5","schema_version":"1.0","event_id":"sha256:784657d16a60dd30244626ff0cd365e0aa9e60fa0a21292b1a78806c42d6ceb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FSCURAEZZDJVH67IMFRVUGJ6PM/bundle.json","state_url":"https://pith.science/pith/FSCURAEZZDJVH67IMFRVUGJ6PM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FSCURAEZZDJVH67IMFRVUGJ6PM/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":"2026-08-08T23:52:07Z","links":{"resolver":"https://pith.science/pith/FSCURAEZZDJVH67IMFRVUGJ6PM","bundle":"https://pith.science/pith/FSCURAEZZDJVH67IMFRVUGJ6PM/bundle.json","state":"https://pith.science/pith/FSCURAEZZDJVH67IMFRVUGJ6PM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FSCURAEZZDJVH67IMFRVUGJ6PM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FSCURAEZZDJVH67IMFRVUGJ6PM","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":"d7e52b7b2fdb054896aaf4d9444fb0979b1c1400b8a52911b3cb02762bd84792","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-26T19:53:28Z","title_canon_sha256":"a0fa95d57a26f5d8148db74926ea18d4307a6fc168739e738cc47ffac5947aae"},"schema_version":"1.0","source":{"id":"1403.6814","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.6814","created_at":"2026-05-18T02:55:28Z"},{"alias_kind":"arxiv_version","alias_value":"1403.6814v1","created_at":"2026-05-18T02:55:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.6814","created_at":"2026-05-18T02:55:28Z"},{"alias_kind":"pith_short_12","alias_value":"FSCURAEZZDJV","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FSCURAEZZDJVH67I","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FSCURAEZ","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:784657d16a60dd30244626ff0cd365e0aa9e60fa0a21292b1a78806c42d6ceb5","target":"graph","created_at":"2026-05-18T02:55:28Z","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":"Over any field of positive characteristic we construct 2-CY-tilted algebras that are not Jacobian algebras of quivers with potentials. As a remedy, we propose an extension of the notion of a potential, called hyperpotential, that allows to prove that certain algebras defined over fields of positive characteristic are 2-CY-tilted even if they do not arise from potentials.\n  In another direction, we compute the fractionally Calabi-Yau dimensions of certain orbit categories of fractionally CY triangulated categories. As an application, we construct a cluster category of type $G_2$.","authors_text":"Sefi Ladkani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-26T19:53:28Z","title":"2-CY-tilted algebras that are not Jacobian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.6814","kind":"arxiv","version":1},"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":"sha256:4c1574e5784219391130acf14e381e8beef089a08605f02cf23fd3d5d3a2dc5c","target":"record","created_at":"2026-05-18T02:55:28Z","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":"d7e52b7b2fdb054896aaf4d9444fb0979b1c1400b8a52911b3cb02762bd84792","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-03-26T19:53:28Z","title_canon_sha256":"a0fa95d57a26f5d8148db74926ea18d4307a6fc168739e738cc47ffac5947aae"},"schema_version":"1.0","source":{"id":"1403.6814","kind":"arxiv","version":1}},"canonical_sha256":"2c85488099c8d353fbe861635a193e7b342eb9f31a071b8bb75055924dce5d31","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c85488099c8d353fbe861635a193e7b342eb9f31a071b8bb75055924dce5d31","first_computed_at":"2026-05-18T02:55:28.031980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:28.031980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"czgcza9GED20LAbESlomBiEI/uGVCwy/aNKuOKDwPOdZpS21hYW0Pa+Oig1hGZ0mnMH3M/Q1+NUhFaqX+QxwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:28.032478Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.6814","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c1574e5784219391130acf14e381e8beef089a08605f02cf23fd3d5d3a2dc5c","sha256:784657d16a60dd30244626ff0cd365e0aa9e60fa0a21292b1a78806c42d6ceb5"],"state_sha256":"0eccd4b41df460aa8afd788803faeb747f8215cc835edd8252c8966b19fbf527"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UC0Te5gcBaWLKZTR7VlW4I8KCPKTW+wh53+RHmRvzEv4lbur30iX2oHvvVwUzMQxSujdFo8sKt5pSb/+g3S1AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T23:52:07.816681Z","bundle_sha256":"6a08e463d14c5dc9531970dd91a5ee4b33c36fd3d03bdacb26c43ae47e676a49"}}