{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OYPQXMN53DZU63CQKYKF6MUVZ4","short_pith_number":"pith:OYPQXMN5","canonical_record":{"source":{"id":"2409.19857","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-30T01:32:10Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"a8c2e468cc818a56a15efa66b8062cc69f03268939afe2238489c4bc0465a451","abstract_canon_sha256":"874ddec37dd59e42eaa63a7387dc862b65e88e9c7843d381e2c020d9dc16a34e"},"schema_version":"1.0"},"canonical_sha256":"761f0bb1bdd8f34f6c5056145f3295cf200157e89dabbf12d18d68d9780b7ffa","source":{"kind":"arxiv","id":"2409.19857","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.19857","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"arxiv_version","alias_value":"2409.19857v1","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.19857","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"pith_short_12","alias_value":"OYPQXMN53DZU","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"pith_short_16","alias_value":"OYPQXMN53DZU63CQ","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"pith_short_8","alias_value":"OYPQXMN5","created_at":"2026-07-05T09:13:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OYPQXMN53DZU63CQKYKF6MUVZ4","target":"record","payload":{"canonical_record":{"source":{"id":"2409.19857","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-30T01:32:10Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"a8c2e468cc818a56a15efa66b8062cc69f03268939afe2238489c4bc0465a451","abstract_canon_sha256":"874ddec37dd59e42eaa63a7387dc862b65e88e9c7843d381e2c020d9dc16a34e"},"schema_version":"1.0"},"canonical_sha256":"761f0bb1bdd8f34f6c5056145f3295cf200157e89dabbf12d18d68d9780b7ffa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:13:23.867962Z","signature_b64":"Id1Ly8YOXWgzNqh/8jt9PYaVFrueplh3YESfZHLgU2TztBZrzzW4Enx5gKDL2jVexm4zPcQ3vjXdyB1T5SOqAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"761f0bb1bdd8f34f6c5056145f3295cf200157e89dabbf12d18d68d9780b7ffa","last_reissued_at":"2026-07-05T09:13:23.867453Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:13:23.867453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.19857","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":"2026-07-05T09:13:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4a9j5+fyoWZIPnnvD0dqj0Wgzcn2h3NUqO21pXvx4eYmG6zrs61PXx2OoBjAYcASCNlEQz1OcMa2NAKCW0C7Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T16:23:05.798389Z"},"content_sha256":"c4696c06e823346379967b40907e7b0bec3ba74ed27ec320e5d888afead85f4a","schema_version":"1.0","event_id":"sha256:c4696c06e823346379967b40907e7b0bec3ba74ed27ec320e5d888afead85f4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OYPQXMN53DZU63CQKYKF6MUVZ4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derived Category of certain maximal order on $\\mathbb{P}^{2}$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.AG","authors_text":"Yu Shen","submitted_at":"2024-09-30T01:32:10Z","abstract_excerpt":"We show that the moduli space of $A$-line bundles with minimal second Chern class is a fine moduli space, where $A$ is a maximal quaternion order on $\\mathbb{P}^{2}$ ramified along a smooth quartic. We prove that there is a fully faithful embedding from the derived category of this moduli space into the derived category of $A$-modules. Furthermore, we find a semiorthogonal decomposition for $D^{b}(\\mathbb{P}^{2},A)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.19857","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2409.19857/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":"2026-07-05T09:13:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sphuq4oeE/AsMB8+JZZ7oH9y8RjvKjjWzArvmi56N1ckew3kuN9e5popK/3UxVvteInwyOI3SfAgHwHLPuAAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T16:23:05.799030Z"},"content_sha256":"285723b37342a2f73ad26271db67b9f8e114699c02409dd2e5df8e43c6fc0de8","schema_version":"1.0","event_id":"sha256:285723b37342a2f73ad26271db67b9f8e114699c02409dd2e5df8e43c6fc0de8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OYPQXMN53DZU63CQKYKF6MUVZ4/bundle.json","state_url":"https://pith.science/pith/OYPQXMN53DZU63CQKYKF6MUVZ4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OYPQXMN53DZU63CQKYKF6MUVZ4/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":"2026-08-19T16:23:05Z","links":{"resolver":"https://pith.science/pith/OYPQXMN53DZU63CQKYKF6MUVZ4","bundle":"https://pith.science/pith/OYPQXMN53DZU63CQKYKF6MUVZ4/bundle.json","state":"https://pith.science/pith/OYPQXMN53DZU63CQKYKF6MUVZ4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OYPQXMN53DZU63CQKYKF6MUVZ4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OYPQXMN53DZU63CQKYKF6MUVZ4","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":"874ddec37dd59e42eaa63a7387dc862b65e88e9c7843d381e2c020d9dc16a34e","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-30T01:32:10Z","title_canon_sha256":"a8c2e468cc818a56a15efa66b8062cc69f03268939afe2238489c4bc0465a451"},"schema_version":"1.0","source":{"id":"2409.19857","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.19857","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"arxiv_version","alias_value":"2409.19857v1","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.19857","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"pith_short_12","alias_value":"OYPQXMN53DZU","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"pith_short_16","alias_value":"OYPQXMN53DZU63CQ","created_at":"2026-07-05T09:13:23Z"},{"alias_kind":"pith_short_8","alias_value":"OYPQXMN5","created_at":"2026-07-05T09:13:23Z"}],"graph_snapshots":[{"event_id":"sha256:285723b37342a2f73ad26271db67b9f8e114699c02409dd2e5df8e43c6fc0de8","target":"graph","created_at":"2026-07-05T09:13:23Z","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/2409.19857/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the moduli space of $A$-line bundles with minimal second Chern class is a fine moduli space, where $A$ is a maximal quaternion order on $\\mathbb{P}^{2}$ ramified along a smooth quartic. We prove that there is a fully faithful embedding from the derived category of this moduli space into the derived category of $A$-modules. Furthermore, we find a semiorthogonal decomposition for $D^{b}(\\mathbb{P}^{2},A)$.","authors_text":"Yu Shen","cross_cats":["math.RA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-30T01:32:10Z","title":"Derived Category of certain maximal order on $\\mathbb{P}^{2}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.19857","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:c4696c06e823346379967b40907e7b0bec3ba74ed27ec320e5d888afead85f4a","target":"record","created_at":"2026-07-05T09:13:23Z","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":"874ddec37dd59e42eaa63a7387dc862b65e88e9c7843d381e2c020d9dc16a34e","cross_cats_sorted":["math.RA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2024-09-30T01:32:10Z","title_canon_sha256":"a8c2e468cc818a56a15efa66b8062cc69f03268939afe2238489c4bc0465a451"},"schema_version":"1.0","source":{"id":"2409.19857","kind":"arxiv","version":1}},"canonical_sha256":"761f0bb1bdd8f34f6c5056145f3295cf200157e89dabbf12d18d68d9780b7ffa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"761f0bb1bdd8f34f6c5056145f3295cf200157e89dabbf12d18d68d9780b7ffa","first_computed_at":"2026-07-05T09:13:23.867453Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:13:23.867453Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Id1Ly8YOXWgzNqh/8jt9PYaVFrueplh3YESfZHLgU2TztBZrzzW4Enx5gKDL2jVexm4zPcQ3vjXdyB1T5SOqAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:13:23.867962Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.19857","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c4696c06e823346379967b40907e7b0bec3ba74ed27ec320e5d888afead85f4a","sha256:285723b37342a2f73ad26271db67b9f8e114699c02409dd2e5df8e43c6fc0de8"],"state_sha256":"f7cca973f64a7e617dc3e0c2c8b76336c08d61eb1af6070e3afbe9351c18596d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vNKQ1NqRXkRuPmZsconKCj21SLJUzeU1TEsrEzQFRNJk7KWxPGK4OHBDXTkz6Er1d4d7LvbPItdCFjebr3MPCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T16:23:05.806175Z","bundle_sha256":"39e142cfe65d0e1ae0adf75ec5a431b50835898f2282a1626b4e3b5b346e8242"}}