{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:3L6F77LDIYNSADB32BYEC2RWPY","short_pith_number":"pith:3L6F77LD","canonical_record":{"source":{"id":"1711.07528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-20T20:22:51Z","cross_cats_sorted":[],"title_canon_sha256":"e5df090a2712818e982003ab440ebce98d97f034ef505761731ec40942a1e360","abstract_canon_sha256":"620f9ec300f64ce86c36ed71766293fd67681e533b9d6043d5e50ad4984ad318"},"schema_version":"1.0"},"canonical_sha256":"dafc5ffd63461b200c3bd070416a367e3dc7444ecc1c22eac329014e963cacd8","source":{"kind":"arxiv","id":"1711.07528","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07528","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07528v2","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07528","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"3L6F77LDIYNS","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3L6F77LDIYNSADB3","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3L6F77LD","created_at":"2026-05-18T12:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:3L6F77LDIYNSADB32BYEC2RWPY","target":"record","payload":{"canonical_record":{"source":{"id":"1711.07528","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-20T20:22:51Z","cross_cats_sorted":[],"title_canon_sha256":"e5df090a2712818e982003ab440ebce98d97f034ef505761731ec40942a1e360","abstract_canon_sha256":"620f9ec300f64ce86c36ed71766293fd67681e533b9d6043d5e50ad4984ad318"},"schema_version":"1.0"},"canonical_sha256":"dafc5ffd63461b200c3bd070416a367e3dc7444ecc1c22eac329014e963cacd8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:19.520155Z","signature_b64":"Z8adhVnPWK+GpdfpCGXwzQfx6A7XGCjcO5/QcDu9U0YmiprH/9PLQGMGV4JbJ1hnpt0brIiqFXX+Si5ggbG4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dafc5ffd63461b200c3bd070416a367e3dc7444ecc1c22eac329014e963cacd8","last_reissued_at":"2026-05-18T00:13:19.519482Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:19.519482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.07528","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":"2026-05-18T00:13:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mHdpXw1B507n6Yi2cIbmWEYNAlQ4oeiNZ2TFE2+KZ17j/DL6K6KKlwsiDogwcWne0pEkzmvU2WDk1BntLrX/Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:15:04.593662Z"},"content_sha256":"7fb36edb1dcc296986a7f57c5d22118ea46c97c2f50c1f395477ebeda7359695","schema_version":"1.0","event_id":"sha256:7fb36edb1dcc296986a7f57c5d22118ea46c97c2f50c1f395477ebeda7359695"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:3L6F77LDIYNSADB32BYEC2RWPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \\infty }$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Peter Jorgensen, Sira Gratz, Thorsten Holm","submitted_at":"2017-11-20T20:22:51Z","abstract_excerpt":"We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \\infty }$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07528","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":"2026-05-18T00:13:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VlMxqJyWuefMKBC5DYfnSn16cpwNiQPUgWVzJGw6blWS5zU6cl+Xcdjm7FvdF/wtominjJmMWbny8Se72q+yCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T12:15:04.594404Z"},"content_sha256":"c44a9ce0caac77f18f6a7ba88e64be3b06bfb65e6189738adef70fe67cd72f32","schema_version":"1.0","event_id":"sha256:c44a9ce0caac77f18f6a7ba88e64be3b06bfb65e6189738adef70fe67cd72f32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3L6F77LDIYNSADB32BYEC2RWPY/bundle.json","state_url":"https://pith.science/pith/3L6F77LDIYNSADB32BYEC2RWPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3L6F77LDIYNSADB32BYEC2RWPY/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":"2026-05-31T12:15:04Z","links":{"resolver":"https://pith.science/pith/3L6F77LDIYNSADB32BYEC2RWPY","bundle":"https://pith.science/pith/3L6F77LDIYNSADB32BYEC2RWPY/bundle.json","state":"https://pith.science/pith/3L6F77LDIYNSADB32BYEC2RWPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3L6F77LDIYNSADB32BYEC2RWPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3L6F77LDIYNSADB32BYEC2RWPY","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":"620f9ec300f64ce86c36ed71766293fd67681e533b9d6043d5e50ad4984ad318","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-20T20:22:51Z","title_canon_sha256":"e5df090a2712818e982003ab440ebce98d97f034ef505761731ec40942a1e360"},"schema_version":"1.0","source":{"id":"1711.07528","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.07528","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"arxiv_version","alias_value":"1711.07528v2","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.07528","created_at":"2026-05-18T00:13:19Z"},{"alias_kind":"pith_short_12","alias_value":"3L6F77LDIYNS","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3L6F77LDIYNSADB3","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3L6F77LD","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:c44a9ce0caac77f18f6a7ba88e64be3b06bfb65e6189738adef70fe67cd72f32","target":"graph","created_at":"2026-05-18T00:13:19Z","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 give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \\infty }$.","authors_text":"Peter Jorgensen, Sira Gratz, Thorsten Holm","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-20T20:22:51Z","title":"Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \\infty }$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07528","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":"sha256:7fb36edb1dcc296986a7f57c5d22118ea46c97c2f50c1f395477ebeda7359695","target":"record","created_at":"2026-05-18T00:13:19Z","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":"620f9ec300f64ce86c36ed71766293fd67681e533b9d6043d5e50ad4984ad318","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2017-11-20T20:22:51Z","title_canon_sha256":"e5df090a2712818e982003ab440ebce98d97f034ef505761731ec40942a1e360"},"schema_version":"1.0","source":{"id":"1711.07528","kind":"arxiv","version":2}},"canonical_sha256":"dafc5ffd63461b200c3bd070416a367e3dc7444ecc1c22eac329014e963cacd8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dafc5ffd63461b200c3bd070416a367e3dc7444ecc1c22eac329014e963cacd8","first_computed_at":"2026-05-18T00:13:19.519482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:19.519482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z8adhVnPWK+GpdfpCGXwzQfx6A7XGCjcO5/QcDu9U0YmiprH/9PLQGMGV4JbJ1hnpt0brIiqFXX+Si5ggbG4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:19.520155Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.07528","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7fb36edb1dcc296986a7f57c5d22118ea46c97c2f50c1f395477ebeda7359695","sha256:c44a9ce0caac77f18f6a7ba88e64be3b06bfb65e6189738adef70fe67cd72f32"],"state_sha256":"3e6af4ee0acdd7b1d80b0b46f0344b79926732f1dc4c7ac1aa04846539dd39df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/kHorzqNGArVCvkWl5LCfYZojePjTSZWTbmJ4oYexfOt4wga1s5rqa3SBjd9L86/JxvDNpzwFZ7vbqEcEOGWAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T12:15:04.597983Z","bundle_sha256":"1351861189a98c2388b293db078490562e46d498a05be6d2cbf081ac1a511f4d"}}