{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:F5S2B2AX57OTCLQVHOXWUIZMJT","short_pith_number":"pith:F5S2B2AX","canonical_record":{"source":{"id":"hep-th/0503207","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-03-26T16:45:13Z","cross_cats_sorted":[],"title_canon_sha256":"202293b0672fca79decdf8e1140f915b5640edac3371f77fc054bea8d96a262f","abstract_canon_sha256":"21301ca39159a1a318cdc09375d24944a33d9394e7472ab4fcaf643acc479ebf"},"schema_version":"1.0"},"canonical_sha256":"2f65a0e817efdd312e153baf6a232c4cf63a3072798e265dd846e52a1a0e3ae2","source":{"kind":"arxiv","id":"hep-th/0503207","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0503207","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0503207v3","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0503207","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"F5S2B2AX57OT","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"pith_short_16","alias_value":"F5S2B2AX57OTCLQV","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"pith_short_8","alias_value":"F5S2B2AX","created_at":"2026-07-04T17:20:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:F5S2B2AX57OTCLQVHOXWUIZMJT","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0503207","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-03-26T16:45:13Z","cross_cats_sorted":[],"title_canon_sha256":"202293b0672fca79decdf8e1140f915b5640edac3371f77fc054bea8d96a262f","abstract_canon_sha256":"21301ca39159a1a318cdc09375d24944a33d9394e7472ab4fcaf643acc479ebf"},"schema_version":"1.0"},"canonical_sha256":"2f65a0e817efdd312e153baf6a232c4cf63a3072798e265dd846e52a1a0e3ae2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:20:49.012013Z","signature_b64":"0SJo4W+1EJIrTb3zgX02FFlk/AMEAAp2MPAmJ+5F2tSCnLYGaq8YKX3hKNSEKANdhJ69hgN6qnXDXVx331XJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f65a0e817efdd312e153baf6a232c4cf63a3072798e265dd846e52a1a0e3ae2","last_reissued_at":"2026-07-04T17:20:49.011629Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:20:49.011629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0503207","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2yx2pc3o3RiEVoDgiickLZ2zpSobwyiVdLAayWrCTPNmZwc9Q9sBZzprtZU9f6MgARXN21gB6Ij82gajqRiwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:05:25.327473Z"},"content_sha256":"6f6c32955cdccc0900636b256ae343253f28f35380b99a5851fe3437058bdd6a","schema_version":"1.0","event_id":"sha256:6f6c32955cdccc0900636b256ae343253f28f35380b99a5851fe3437058bdd6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:F5S2B2AX57OTCLQVHOXWUIZMJT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Matrix factorisations and permutation branes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ilka Brunner, Matthias R. Gaberdiel","submitted_at":"2005-03-26T16:45:13Z","abstract_excerpt":"The description of B-type D-branes on a tensor product of two N=2 minimal models in terms of matrix factorisations is related to the boundary state description in conformal field theory. As an application we show that the D0- and D2-brane for a number of Gepner models are described by permutation boundary states. In some cases (including the quintic) the images of the D2-brane under the Gepner monodromy generate the full charge lattice."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0503207","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0503207/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T17:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HAoLzh2Eb5bcZ2aOKlaoyCOs1DE2w/lTs3ieraCE/9YiuCrl8WtbvxI2hiYSCkySnuf7vc9Yim5LcvDI4CnmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T19:05:25.328334Z"},"content_sha256":"9dec5464d24e6ddec8fe6b62933df5651171a16760445bcd70e9fe903a137337","schema_version":"1.0","event_id":"sha256:9dec5464d24e6ddec8fe6b62933df5651171a16760445bcd70e9fe903a137337"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F5S2B2AX57OTCLQVHOXWUIZMJT/bundle.json","state_url":"https://pith.science/pith/F5S2B2AX57OTCLQVHOXWUIZMJT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F5S2B2AX57OTCLQVHOXWUIZMJT/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":"2026-08-06T19:05:25Z","links":{"resolver":"https://pith.science/pith/F5S2B2AX57OTCLQVHOXWUIZMJT","bundle":"https://pith.science/pith/F5S2B2AX57OTCLQVHOXWUIZMJT/bundle.json","state":"https://pith.science/pith/F5S2B2AX57OTCLQVHOXWUIZMJT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F5S2B2AX57OTCLQVHOXWUIZMJT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:F5S2B2AX57OTCLQVHOXWUIZMJT","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":"21301ca39159a1a318cdc09375d24944a33d9394e7472ab4fcaf643acc479ebf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-03-26T16:45:13Z","title_canon_sha256":"202293b0672fca79decdf8e1140f915b5640edac3371f77fc054bea8d96a262f"},"schema_version":"1.0","source":{"id":"hep-th/0503207","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0503207","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0503207v3","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0503207","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"F5S2B2AX57OT","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"pith_short_16","alias_value":"F5S2B2AX57OTCLQV","created_at":"2026-07-04T17:20:49Z"},{"alias_kind":"pith_short_8","alias_value":"F5S2B2AX","created_at":"2026-07-04T17:20:49Z"}],"graph_snapshots":[{"event_id":"sha256:9dec5464d24e6ddec8fe6b62933df5651171a16760445bcd70e9fe903a137337","target":"graph","created_at":"2026-07-04T17:20:49Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0503207/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The description of B-type D-branes on a tensor product of two N=2 minimal models in terms of matrix factorisations is related to the boundary state description in conformal field theory. As an application we show that the D0- and D2-brane for a number of Gepner models are described by permutation boundary states. In some cases (including the quintic) the images of the D2-brane under the Gepner monodromy generate the full charge lattice.","authors_text":"Ilka Brunner, Matthias R. Gaberdiel","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-03-26T16:45:13Z","title":"Matrix factorisations and permutation branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0503207","kind":"arxiv","version":3},"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":"sha256:6f6c32955cdccc0900636b256ae343253f28f35380b99a5851fe3437058bdd6a","target":"record","created_at":"2026-07-04T17:20:49Z","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":"21301ca39159a1a318cdc09375d24944a33d9394e7472ab4fcaf643acc479ebf","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-03-26T16:45:13Z","title_canon_sha256":"202293b0672fca79decdf8e1140f915b5640edac3371f77fc054bea8d96a262f"},"schema_version":"1.0","source":{"id":"hep-th/0503207","kind":"arxiv","version":3}},"canonical_sha256":"2f65a0e817efdd312e153baf6a232c4cf63a3072798e265dd846e52a1a0e3ae2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f65a0e817efdd312e153baf6a232c4cf63a3072798e265dd846e52a1a0e3ae2","first_computed_at":"2026-07-04T17:20:49.011629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:20:49.011629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0SJo4W+1EJIrTb3zgX02FFlk/AMEAAp2MPAmJ+5F2tSCnLYGaq8YKX3hKNSEKANdhJ69hgN6qnXDXVx331XJAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:20:49.012013Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0503207","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f6c32955cdccc0900636b256ae343253f28f35380b99a5851fe3437058bdd6a","sha256:9dec5464d24e6ddec8fe6b62933df5651171a16760445bcd70e9fe903a137337"],"state_sha256":"765826fde9b105bed73a87008a9fadc867eb3a90ff82eb471e7cfb353b711e51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QKjjqv9N7ugeNVdAOJw98YsLxfhVhlJ5Fc4VKajZmMyAx+XDIxMPVCERwW9fGB3EsaSfOG0cwdxqDPEoXu7qDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T19:05:25.340154Z","bundle_sha256":"5a0978e2e39ceadedda0cf328f34e12a4647e05967d18c897405741647fb3e83"}}