{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:DJN4OMIIHXHIB6KDLLHNBGXF7P","short_pith_number":"pith:DJN4OMII","canonical_record":{"source":{"id":"2502.13087","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-18T17:53:12Z","cross_cats_sorted":[],"title_canon_sha256":"66c4c7020a02cfb4ed90a660252d1f83b003a4ab963608e3324553a7c64835e7","abstract_canon_sha256":"45dd74446ac4bcb7f348026b6b5a77df47e298b2ccebbed0f1c2746a171d5f5b"},"schema_version":"1.0"},"canonical_sha256":"1a5bc731083dce80f9435aced09ae5fbd072ffc4f3cc81f470a32d62cdeec78e","source":{"kind":"arxiv","id":"2502.13087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.13087","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"arxiv_version","alias_value":"2502.13087v1","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.13087","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"pith_short_12","alias_value":"DJN4OMIIHXHI","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"pith_short_16","alias_value":"DJN4OMIIHXHIB6KD","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"pith_short_8","alias_value":"DJN4OMII","created_at":"2026-07-05T10:16:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:DJN4OMIIHXHIB6KDLLHNBGXF7P","target":"record","payload":{"canonical_record":{"source":{"id":"2502.13087","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-18T17:53:12Z","cross_cats_sorted":[],"title_canon_sha256":"66c4c7020a02cfb4ed90a660252d1f83b003a4ab963608e3324553a7c64835e7","abstract_canon_sha256":"45dd74446ac4bcb7f348026b6b5a77df47e298b2ccebbed0f1c2746a171d5f5b"},"schema_version":"1.0"},"canonical_sha256":"1a5bc731083dce80f9435aced09ae5fbd072ffc4f3cc81f470a32d62cdeec78e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:16:29.107604Z","signature_b64":"rmdSGGlKNxVAf5pixSyXJol6OG6Oahlhqtep1YBFCluFtDY7kJ41V1TVECeCORRZBpXIg5kk9ds/8H499L0QBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a5bc731083dce80f9435aced09ae5fbd072ffc4f3cc81f470a32d62cdeec78e","last_reissued_at":"2026-07-05T10:16:29.107117Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:16:29.107117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2502.13087","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":"2026-07-05T10:16:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wxo4cDJ/ljUlA7Hy+d32a3mQe1Ap5aPZtIs1//qKZioDcjHf3IFB4/evdEF0F0Vvhnn3nDAfaAcPl/vacKEaBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:36:05.148667Z"},"content_sha256":"4199734c053c5b47772ee2e59c6b2ec1cf069e174835a752dbe85d3250797591","schema_version":"1.0","event_id":"sha256:4199734c053c5b47772ee2e59c6b2ec1cf069e174835a752dbe85d3250797591"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:DJN4OMIIHXHIB6KDLLHNBGXF7P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An explicit class of Lagrangian surfaces","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Federico Moretti, Paolo Grossi","submitted_at":"2025-02-18T17:53:12Z","abstract_excerpt":"We construct a family of general type surfaces with $q=4$, $p_g=6$ and $K^2=24$. These surfaces enjoy some interesting properties: they are Lagrangian in their Albanese variety and their canonical map is $2:1$ onto a degree $12$ surface in $\\mathbb P^5$ with $44$ even nodes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.13087","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/2502.13087/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":"2026-07-05T10:16:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Pe+ZDaoFwCG6PfoFDjeqvtzBlx8aDvQ+wW78GWxhizTzKA19J8OfbU9Pc9sugvy3D7thANPSHjFsWrjCnh4BCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T23:36:05.149156Z"},"content_sha256":"885a7b057c0ce090caf21ab04db3e1036824f8273062a60bd711f56c3fc60d68","schema_version":"1.0","event_id":"sha256:885a7b057c0ce090caf21ab04db3e1036824f8273062a60bd711f56c3fc60d68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJN4OMIIHXHIB6KDLLHNBGXF7P/bundle.json","state_url":"https://pith.science/pith/DJN4OMIIHXHIB6KDLLHNBGXF7P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJN4OMIIHXHIB6KDLLHNBGXF7P/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":"2026-08-15T23:36:05Z","links":{"resolver":"https://pith.science/pith/DJN4OMIIHXHIB6KDLLHNBGXF7P","bundle":"https://pith.science/pith/DJN4OMIIHXHIB6KDLLHNBGXF7P/bundle.json","state":"https://pith.science/pith/DJN4OMIIHXHIB6KDLLHNBGXF7P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJN4OMIIHXHIB6KDLLHNBGXF7P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DJN4OMIIHXHIB6KDLLHNBGXF7P","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":"45dd74446ac4bcb7f348026b6b5a77df47e298b2ccebbed0f1c2746a171d5f5b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-18T17:53:12Z","title_canon_sha256":"66c4c7020a02cfb4ed90a660252d1f83b003a4ab963608e3324553a7c64835e7"},"schema_version":"1.0","source":{"id":"2502.13087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2502.13087","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"arxiv_version","alias_value":"2502.13087v1","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.13087","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"pith_short_12","alias_value":"DJN4OMIIHXHI","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"pith_short_16","alias_value":"DJN4OMIIHXHIB6KD","created_at":"2026-07-05T10:16:29Z"},{"alias_kind":"pith_short_8","alias_value":"DJN4OMII","created_at":"2026-07-05T10:16:29Z"}],"graph_snapshots":[{"event_id":"sha256:885a7b057c0ce090caf21ab04db3e1036824f8273062a60bd711f56c3fc60d68","target":"graph","created_at":"2026-07-05T10:16:29Z","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/2502.13087/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a family of general type surfaces with $q=4$, $p_g=6$ and $K^2=24$. These surfaces enjoy some interesting properties: they are Lagrangian in their Albanese variety and their canonical map is $2:1$ onto a degree $12$ surface in $\\mathbb P^5$ with $44$ even nodes.","authors_text":"Federico Moretti, Paolo Grossi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-18T17:53:12Z","title":"An explicit class of Lagrangian surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.13087","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":"sha256:4199734c053c5b47772ee2e59c6b2ec1cf069e174835a752dbe85d3250797591","target":"record","created_at":"2026-07-05T10:16:29Z","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":"45dd74446ac4bcb7f348026b6b5a77df47e298b2ccebbed0f1c2746a171d5f5b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.AG","submitted_at":"2025-02-18T17:53:12Z","title_canon_sha256":"66c4c7020a02cfb4ed90a660252d1f83b003a4ab963608e3324553a7c64835e7"},"schema_version":"1.0","source":{"id":"2502.13087","kind":"arxiv","version":1}},"canonical_sha256":"1a5bc731083dce80f9435aced09ae5fbd072ffc4f3cc81f470a32d62cdeec78e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a5bc731083dce80f9435aced09ae5fbd072ffc4f3cc81f470a32d62cdeec78e","first_computed_at":"2026-07-05T10:16:29.107117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:16:29.107117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rmdSGGlKNxVAf5pixSyXJol6OG6Oahlhqtep1YBFCluFtDY7kJ41V1TVECeCORRZBpXIg5kk9ds/8H499L0QBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:16:29.107604Z","signed_message":"canonical_sha256_bytes"},"source_id":"2502.13087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4199734c053c5b47772ee2e59c6b2ec1cf069e174835a752dbe85d3250797591","sha256:885a7b057c0ce090caf21ab04db3e1036824f8273062a60bd711f56c3fc60d68"],"state_sha256":"a0a8fef072b42877b664c579c827227b00df03aa2b64d0b223d484dd104cf5b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i8LT3GsIhlSxlCcIHFIuuwCS9fpFGXLXPGYsVwiOKxQ3QZdb2LlMeWYPFVZ1Fox7TZUzcCtUyoxkpB3FV5+TCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T23:36:05.152509Z","bundle_sha256":"829cd7c4555a4de87b1135bd0bddadcee51a0608c2dd81c3d1b3a15fe0d6a37f"}}