{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:BQC5V4WTL25YZESWS5NPDRZRIO","short_pith_number":"pith:BQC5V4WT","canonical_record":{"source":{"id":"1603.00411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-01T19:12:54Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"a7c1e4cce7c05feeb020926c660d50b3f22bef8c9ef832820bafc74e709114e1","abstract_canon_sha256":"b6c096fbda967eb6ef24d3e1383b3e33f70e23350d0b3957713b73c4aac66a2d"},"schema_version":"1.0"},"canonical_sha256":"0c05daf2d35ebb8c9256975af1c731438678a151ac7aea854ed915f6af085f5b","source":{"kind":"arxiv","id":"1603.00411","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00411","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00411v1","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00411","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"pith_short_12","alias_value":"BQC5V4WTL25Y","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BQC5V4WTL25YZESW","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BQC5V4WT","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:BQC5V4WTL25YZESWS5NPDRZRIO","target":"record","payload":{"canonical_record":{"source":{"id":"1603.00411","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-01T19:12:54Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"a7c1e4cce7c05feeb020926c660d50b3f22bef8c9ef832820bafc74e709114e1","abstract_canon_sha256":"b6c096fbda967eb6ef24d3e1383b3e33f70e23350d0b3957713b73c4aac66a2d"},"schema_version":"1.0"},"canonical_sha256":"0c05daf2d35ebb8c9256975af1c731438678a151ac7aea854ed915f6af085f5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:45.156428Z","signature_b64":"wUfn6VnbkZzaZfupL0cOJYbJ2eHJMl3HqzHkltFts9R9/sb6AQWbyULzJbgruhWaalVnhXIt4RrRs6q6TVWEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c05daf2d35ebb8c9256975af1c731438678a151ac7aea854ed915f6af085f5b","last_reissued_at":"2026-05-18T01:19:45.155887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:45.155887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.00411","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":"2026-05-18T01:19:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eLDm02Dx6ne69H5yem2MxmJWJPi/2eetLQl/kPXNcMV2Ulr4kMJCLOjl+OvkSLlRrhvXhMopr9z/hdYOqEB5Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:09:45.056254Z"},"content_sha256":"0994c2efcf6bc524610688fe100b7014d4ac0126340d55957d2bc9579c50e68d","schema_version":"1.0","event_id":"sha256:0994c2efcf6bc524610688fe100b7014d4ac0126340d55957d2bc9579c50e68d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:BQC5V4WTL25YZESWS5NPDRZRIO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the stability of regular algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.AG","authors_text":"Junho Hwang, Kai Behrend","submitted_at":"2016-03-01T19:12:54Z","abstract_excerpt":"We characterize which quadratic regular algebras of global dimension 3 are stable in the sense of Behrend-Noohi. (This notion of stability is a non-commutative analogue of Hilbert stability.) We describe the quasi-projective stack of stable quadratic regular algebras of dimension 3. This provides the first non-trivial, non-commutative examples of stability a la Behrend-Noohi."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00411","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":"2026-05-18T01:19:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mZoQBoxnSIc3oQGAe6lZVZvgav9vSrAdJSII7bVb5W8j+/Kkmza44zcEjRMfDPxWqKBv4N7OrangvvzrrbgKAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T20:09:45.056617Z"},"content_sha256":"24f6f082c0e37481e04e5c80a449a60f75e743a9d85b1326f61c36dbc7cceeb4","schema_version":"1.0","event_id":"sha256:24f6f082c0e37481e04e5c80a449a60f75e743a9d85b1326f61c36dbc7cceeb4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQC5V4WTL25YZESWS5NPDRZRIO/bundle.json","state_url":"https://pith.science/pith/BQC5V4WTL25YZESWS5NPDRZRIO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQC5V4WTL25YZESWS5NPDRZRIO/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":"2026-06-03T20:09:45Z","links":{"resolver":"https://pith.science/pith/BQC5V4WTL25YZESWS5NPDRZRIO","bundle":"https://pith.science/pith/BQC5V4WTL25YZESWS5NPDRZRIO/bundle.json","state":"https://pith.science/pith/BQC5V4WTL25YZESWS5NPDRZRIO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQC5V4WTL25YZESWS5NPDRZRIO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:BQC5V4WTL25YZESWS5NPDRZRIO","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":"b6c096fbda967eb6ef24d3e1383b3e33f70e23350d0b3957713b73c4aac66a2d","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-01T19:12:54Z","title_canon_sha256":"a7c1e4cce7c05feeb020926c660d50b3f22bef8c9ef832820bafc74e709114e1"},"schema_version":"1.0","source":{"id":"1603.00411","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.00411","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"arxiv_version","alias_value":"1603.00411v1","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.00411","created_at":"2026-05-18T01:19:45Z"},{"alias_kind":"pith_short_12","alias_value":"BQC5V4WTL25Y","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"BQC5V4WTL25YZESW","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"BQC5V4WT","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:24f6f082c0e37481e04e5c80a449a60f75e743a9d85b1326f61c36dbc7cceeb4","target":"graph","created_at":"2026-05-18T01:19:45Z","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 characterize which quadratic regular algebras of global dimension 3 are stable in the sense of Behrend-Noohi. (This notion of stability is a non-commutative analogue of Hilbert stability.) We describe the quasi-projective stack of stable quadratic regular algebras of dimension 3. This provides the first non-trivial, non-commutative examples of stability a la Behrend-Noohi.","authors_text":"Junho Hwang, Kai Behrend","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-01T19:12:54Z","title":"On the stability of regular algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.00411","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":"sha256:0994c2efcf6bc524610688fe100b7014d4ac0126340d55957d2bc9579c50e68d","target":"record","created_at":"2026-05-18T01:19:45Z","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":"b6c096fbda967eb6ef24d3e1383b3e33f70e23350d0b3957713b73c4aac66a2d","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-01T19:12:54Z","title_canon_sha256":"a7c1e4cce7c05feeb020926c660d50b3f22bef8c9ef832820bafc74e709114e1"},"schema_version":"1.0","source":{"id":"1603.00411","kind":"arxiv","version":1}},"canonical_sha256":"0c05daf2d35ebb8c9256975af1c731438678a151ac7aea854ed915f6af085f5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c05daf2d35ebb8c9256975af1c731438678a151ac7aea854ed915f6af085f5b","first_computed_at":"2026-05-18T01:19:45.155887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:45.155887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wUfn6VnbkZzaZfupL0cOJYbJ2eHJMl3HqzHkltFts9R9/sb6AQWbyULzJbgruhWaalVnhXIt4RrRs6q6TVWEAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:45.156428Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.00411","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0994c2efcf6bc524610688fe100b7014d4ac0126340d55957d2bc9579c50e68d","sha256:24f6f082c0e37481e04e5c80a449a60f75e743a9d85b1326f61c36dbc7cceeb4"],"state_sha256":"ed6ebc841af3cfe02223a439eea24c4e093a27c0b4a932242e35dd7993ecfc17"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WeSngTWbQ1BuE8NwzpxkxMCVp1KAM4r0zecoYMmQq9m+5fwhSl+Q0Z9Jdvw4FbL4Ss1Pze7R8q6+Uy7GX7XbBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T20:09:45.058573Z","bundle_sha256":"a38e25c23eefc04f8b97aa4646c92c441a1e35e99663bca1c0aaa9a2ead7b7d5"}}