{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:DNOKWUORVE4YMLO35N4QMH6SRS","short_pith_number":"pith:DNOKWUOR","canonical_record":{"source":{"id":"1710.07523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-10-20T13:20:53Z","cross_cats_sorted":["math.CT","math.RA","math.RT"],"title_canon_sha256":"02d972af8d845e0cc10ae1c4f9cef2b6f92de0d311a12b0c6d2e3d118f67532c","abstract_canon_sha256":"c0e139c81e4a82bdb9280ef54196c537d3f0d39249ad74ac584960f29a442027"},"schema_version":"1.0"},"canonical_sha256":"1b5cab51d1a939862ddbeb79061fd28cbefc3a5a2ea0dbb7a45c19c3e6736206","source":{"kind":"arxiv","id":"1710.07523","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07523","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07523v1","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07523","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"DNOKWUORVE4Y","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DNOKWUORVE4YMLO3","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DNOKWUOR","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:DNOKWUORVE4YMLO35N4QMH6SRS","target":"record","payload":{"canonical_record":{"source":{"id":"1710.07523","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-10-20T13:20:53Z","cross_cats_sorted":["math.CT","math.RA","math.RT"],"title_canon_sha256":"02d972af8d845e0cc10ae1c4f9cef2b6f92de0d311a12b0c6d2e3d118f67532c","abstract_canon_sha256":"c0e139c81e4a82bdb9280ef54196c537d3f0d39249ad74ac584960f29a442027"},"schema_version":"1.0"},"canonical_sha256":"1b5cab51d1a939862ddbeb79061fd28cbefc3a5a2ea0dbb7a45c19c3e6736206","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:24.626208Z","signature_b64":"bdJGgFIZrNf8GZfbxPIMD/SvMKIUP2B1vEIo7guwT2Q+dr+k32ZlGzEkoK++CitOzPTsOOVezfwIaxJsqrMqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b5cab51d1a939862ddbeb79061fd28cbefc3a5a2ea0dbb7a45c19c3e6736206","last_reissued_at":"2026-05-18T00:32:24.625474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:24.625474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.07523","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":"2026-05-18T00:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WI11i4H54UzJzh2jUQ19871RkXZd67HrAdNaq0iIh6DlPDMSbJ0C2ZU9nVs1JIEq+1rTco6y4a3tlBKjVrKtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:28:27.432033Z"},"content_sha256":"72db772fe85816574c2c5a80c342f7e32728674a55cfe36de682be020f908913","schema_version":"1.0","event_id":"sha256:72db772fe85816574c2c5a80c342f7e32728674a55cfe36de682be020f908913"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:DNOKWUORVE4YMLO35N4QMH6SRS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix factorizations for quantum complete intersections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT","math.RA","math.RT"],"primary_cat":"math.KT","authors_text":"Karin Erdmann, Petter Andreas Bergh","submitted_at":"2017-10-20T13:20:53Z","abstract_excerpt":"We introduce twisted matrix factorizations for quantum complete intersections of codimension two. For such an algebra, we show that in a given dimension, almost all the indecomposable modules with bounded minimal projective resolutions correspond to such matrix factorizations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07523","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":"2026-05-18T00:32:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Md/RLwPkqNF3VeclWvd7urKCLqF9gSnbXMzUSYjdlYLnf24y7UFA+s0WRau+GQ+De9fo/38vxK2eDhOesH9BDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:28:27.432387Z"},"content_sha256":"2a58eecb88d8c2b7041c795d8f721f9306ba7026a2a08dd10af8d7bfb9748c3f","schema_version":"1.0","event_id":"sha256:2a58eecb88d8c2b7041c795d8f721f9306ba7026a2a08dd10af8d7bfb9748c3f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DNOKWUORVE4YMLO35N4QMH6SRS/bundle.json","state_url":"https://pith.science/pith/DNOKWUORVE4YMLO35N4QMH6SRS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DNOKWUORVE4YMLO35N4QMH6SRS/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":"2026-05-30T00:28:27Z","links":{"resolver":"https://pith.science/pith/DNOKWUORVE4YMLO35N4QMH6SRS","bundle":"https://pith.science/pith/DNOKWUORVE4YMLO35N4QMH6SRS/bundle.json","state":"https://pith.science/pith/DNOKWUORVE4YMLO35N4QMH6SRS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DNOKWUORVE4YMLO35N4QMH6SRS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DNOKWUORVE4YMLO35N4QMH6SRS","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":"c0e139c81e4a82bdb9280ef54196c537d3f0d39249ad74ac584960f29a442027","cross_cats_sorted":["math.CT","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-10-20T13:20:53Z","title_canon_sha256":"02d972af8d845e0cc10ae1c4f9cef2b6f92de0d311a12b0c6d2e3d118f67532c"},"schema_version":"1.0","source":{"id":"1710.07523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.07523","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"arxiv_version","alias_value":"1710.07523v1","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.07523","created_at":"2026-05-18T00:32:24Z"},{"alias_kind":"pith_short_12","alias_value":"DNOKWUORVE4Y","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DNOKWUORVE4YMLO3","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DNOKWUOR","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:2a58eecb88d8c2b7041c795d8f721f9306ba7026a2a08dd10af8d7bfb9748c3f","target":"graph","created_at":"2026-05-18T00:32:24Z","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 introduce twisted matrix factorizations for quantum complete intersections of codimension two. For such an algebra, we show that in a given dimension, almost all the indecomposable modules with bounded minimal projective resolutions correspond to such matrix factorizations.","authors_text":"Karin Erdmann, Petter Andreas Bergh","cross_cats":["math.CT","math.RA","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-10-20T13:20:53Z","title":"Matrix factorizations for quantum complete intersections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.07523","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":"sha256:72db772fe85816574c2c5a80c342f7e32728674a55cfe36de682be020f908913","target":"record","created_at":"2026-05-18T00:32:24Z","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":"c0e139c81e4a82bdb9280ef54196c537d3f0d39249ad74ac584960f29a442027","cross_cats_sorted":["math.CT","math.RA","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-10-20T13:20:53Z","title_canon_sha256":"02d972af8d845e0cc10ae1c4f9cef2b6f92de0d311a12b0c6d2e3d118f67532c"},"schema_version":"1.0","source":{"id":"1710.07523","kind":"arxiv","version":1}},"canonical_sha256":"1b5cab51d1a939862ddbeb79061fd28cbefc3a5a2ea0dbb7a45c19c3e6736206","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b5cab51d1a939862ddbeb79061fd28cbefc3a5a2ea0dbb7a45c19c3e6736206","first_computed_at":"2026-05-18T00:32:24.625474Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:24.625474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bdJGgFIZrNf8GZfbxPIMD/SvMKIUP2B1vEIo7guwT2Q+dr+k32ZlGzEkoK++CitOzPTsOOVezfwIaxJsqrMqCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:24.626208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.07523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72db772fe85816574c2c5a80c342f7e32728674a55cfe36de682be020f908913","sha256:2a58eecb88d8c2b7041c795d8f721f9306ba7026a2a08dd10af8d7bfb9748c3f"],"state_sha256":"5574bc313f683f65062e2aae90dbd645575621fa88655ec7136215c76a052e8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tzqrtm6JBLGr+3hC+84xxzZwnZNRZ8rbcKJlXxL3PwVAnnTnzPJQ8vxtzD2ecxQmjY+wv4nni2tk6zNfS+DpDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:28:27.434421Z","bundle_sha256":"fb05d5e8d8b4615902a48690f55959ebabdac5639bee2a1a289b99591e386fc3"}}