{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:GZUTBQYNYOYHXRVPBWGXTO43KH","short_pith_number":"pith:GZUTBQYN","canonical_record":{"source":{"id":"1410.0904","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-10-03T16:30:24Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"5ca8fde3fba88b438dd6d39c1a91ff743a30f59066f8ab66d53e6a20a8097f67","abstract_canon_sha256":"a09f3254de8896efed25cb0d723e7e355becb18f353cdf7f1538043fa3e64a48"},"schema_version":"1.0"},"canonical_sha256":"366930c30dc3b07bc6af0d8d79bb9b51c20483b344e2d6ad89676f68e67a7658","source":{"kind":"arxiv","id":"1410.0904","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0904","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0904v1","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0904","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"pith_short_12","alias_value":"GZUTBQYNYOYH","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GZUTBQYNYOYHXRVP","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GZUTBQYN","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:GZUTBQYNYOYHXRVPBWGXTO43KH","target":"record","payload":{"canonical_record":{"source":{"id":"1410.0904","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-10-03T16:30:24Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"5ca8fde3fba88b438dd6d39c1a91ff743a30f59066f8ab66d53e6a20a8097f67","abstract_canon_sha256":"a09f3254de8896efed25cb0d723e7e355becb18f353cdf7f1538043fa3e64a48"},"schema_version":"1.0"},"canonical_sha256":"366930c30dc3b07bc6af0d8d79bb9b51c20483b344e2d6ad89676f68e67a7658","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:09.519616Z","signature_b64":"vx+hv6p3qtgsI55bgv5H418Dgk2+tL+Y9ModXLIwRMv2e2jiUhZdRRWTk8AQWN3X6Bt9+Eno69wo8EafbHRVCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"366930c30dc3b07bc6af0d8d79bb9b51c20483b344e2d6ad89676f68e67a7658","last_reissued_at":"2026-05-18T02:41:09.519113Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:09.519113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1410.0904","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":"2026-05-18T02:41:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6TGdw4vqle2P/CEJyG9bqyvopqQXB0gvxLAMKQTNHU6l76HQlcP5Nu4I0bXT95jvnPm90beUqtmSvd0T3bVEDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T04:34:34.776813Z"},"content_sha256":"43ab11c86eccd0562fae166af13394a1cc0cef664f4641a24ee1244a2a7acd07","schema_version":"1.0","event_id":"sha256:43ab11c86eccd0562fae166af13394a1cc0cef664f4641a24ee1244a2a7acd07"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:GZUTBQYNYOYHXRVPBWGXTO43KH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bridgeland stability conditions on the acyclic triangular quiver","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.CT","authors_text":"George Dimitrov, Ludmil Katzarkov","submitted_at":"2014-10-03T16:30:24Z","abstract_excerpt":"Using results in a previous paper \"Non-semistable exceptional objects in hereditary categories\", we focus here on studying the topology of the space of Bridgeland stability conditions on $D^b(Rep_k(Q ))$, where $Q$ is the acyclic triangular quiver (the underlying graph is the extended Dynkin diagram $\\widetilde{\\mathbb A}_2$). In particular, we prove that this space is contractible (in the previous paper it was shown that it is connected)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0904","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":"2026-05-18T02:41:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SpteSViqp2jAnEATf1Y28euaX4DNFPlxvlpzsZ/L4BcTqOG8fj40Qt2IdjUIg6lm2BtMg2J1RIXCIGGDZI8fAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T04:34:34.777995Z"},"content_sha256":"adec27595cef5c403232031e2edb4875f0a37aabe48fe1e0c96dc501849a0a6f","schema_version":"1.0","event_id":"sha256:adec27595cef5c403232031e2edb4875f0a37aabe48fe1e0c96dc501849a0a6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZUTBQYNYOYHXRVPBWGXTO43KH/bundle.json","state_url":"https://pith.science/pith/GZUTBQYNYOYHXRVPBWGXTO43KH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZUTBQYNYOYHXRVPBWGXTO43KH/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":"2026-08-11T04:34:34Z","links":{"resolver":"https://pith.science/pith/GZUTBQYNYOYHXRVPBWGXTO43KH","bundle":"https://pith.science/pith/GZUTBQYNYOYHXRVPBWGXTO43KH/bundle.json","state":"https://pith.science/pith/GZUTBQYNYOYHXRVPBWGXTO43KH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZUTBQYNYOYHXRVPBWGXTO43KH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:GZUTBQYNYOYHXRVPBWGXTO43KH","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":"a09f3254de8896efed25cb0d723e7e355becb18f353cdf7f1538043fa3e64a48","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-10-03T16:30:24Z","title_canon_sha256":"5ca8fde3fba88b438dd6d39c1a91ff743a30f59066f8ab66d53e6a20a8097f67"},"schema_version":"1.0","source":{"id":"1410.0904","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.0904","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"arxiv_version","alias_value":"1410.0904v1","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.0904","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"pith_short_12","alias_value":"GZUTBQYNYOYH","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"GZUTBQYNYOYHXRVP","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"GZUTBQYN","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:adec27595cef5c403232031e2edb4875f0a37aabe48fe1e0c96dc501849a0a6f","target":"graph","created_at":"2026-05-18T02:41:09Z","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":"Using results in a previous paper \"Non-semistable exceptional objects in hereditary categories\", we focus here on studying the topology of the space of Bridgeland stability conditions on $D^b(Rep_k(Q ))$, where $Q$ is the acyclic triangular quiver (the underlying graph is the extended Dynkin diagram $\\widetilde{\\mathbb A}_2$). In particular, we prove that this space is contractible (in the previous paper it was shown that it is connected).","authors_text":"George Dimitrov, Ludmil Katzarkov","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-10-03T16:30:24Z","title":"Bridgeland stability conditions on the acyclic triangular quiver"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.0904","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":"sha256:43ab11c86eccd0562fae166af13394a1cc0cef664f4641a24ee1244a2a7acd07","target":"record","created_at":"2026-05-18T02:41:09Z","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":"a09f3254de8896efed25cb0d723e7e355becb18f353cdf7f1538043fa3e64a48","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2014-10-03T16:30:24Z","title_canon_sha256":"5ca8fde3fba88b438dd6d39c1a91ff743a30f59066f8ab66d53e6a20a8097f67"},"schema_version":"1.0","source":{"id":"1410.0904","kind":"arxiv","version":1}},"canonical_sha256":"366930c30dc3b07bc6af0d8d79bb9b51c20483b344e2d6ad89676f68e67a7658","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"366930c30dc3b07bc6af0d8d79bb9b51c20483b344e2d6ad89676f68e67a7658","first_computed_at":"2026-05-18T02:41:09.519113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:09.519113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vx+hv6p3qtgsI55bgv5H418Dgk2+tL+Y9ModXLIwRMv2e2jiUhZdRRWTk8AQWN3X6Bt9+Eno69wo8EafbHRVCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:09.519616Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.0904","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43ab11c86eccd0562fae166af13394a1cc0cef664f4641a24ee1244a2a7acd07","sha256:adec27595cef5c403232031e2edb4875f0a37aabe48fe1e0c96dc501849a0a6f"],"state_sha256":"08d673795ac37c7a7496003dc3a97236ef94cf50585036cf16cbf5ba98a08851"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sf+UO37A0nljvt/wbkMN/TuMiNhpiKZQweR1CFy2z5mX2mxDyrzwar88RfUcQJ9vwzL4kkYjslWYWFbUJA6dDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T04:34:34.784750Z","bundle_sha256":"a1e7ef1def68632cb66062b7973fe54002fd019c146cdab5f112aadc5bb3287e"}}