{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:YD7VFVT6HYGG7Y5D7IGIZXIAQO","short_pith_number":"pith:YD7VFVT6","canonical_record":{"source":{"id":"2606.18357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-16T18:04:53Z","cross_cats_sorted":[],"title_canon_sha256":"18af992a8e4ee1ce0d9a1acc367f364f0b38c759131d7c06992d4f64683077d6","abstract_canon_sha256":"d394c8fa2d439915212647db8f530f2a7b2ffc6464d05fc4f7f565edca8250d4"},"schema_version":"1.0"},"canonical_sha256":"c0ff52d67e3e0c6fe3a3fa0c8cdd0083b04be60c373ff18e340460f1c7f822dc","source":{"kind":"arxiv","id":"2606.18357","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18357","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18357v1","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18357","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"YD7VFVT6HYGG","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"pith_short_16","alias_value":"YD7VFVT6HYGG7Y5D","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"pith_short_8","alias_value":"YD7VFVT6","created_at":"2026-06-19T16:10:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:YD7VFVT6HYGG7Y5D7IGIZXIAQO","target":"record","payload":{"canonical_record":{"source":{"id":"2606.18357","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-16T18:04:53Z","cross_cats_sorted":[],"title_canon_sha256":"18af992a8e4ee1ce0d9a1acc367f364f0b38c759131d7c06992d4f64683077d6","abstract_canon_sha256":"d394c8fa2d439915212647db8f530f2a7b2ffc6464d05fc4f7f565edca8250d4"},"schema_version":"1.0"},"canonical_sha256":"c0ff52d67e3e0c6fe3a3fa0c8cdd0083b04be60c373ff18e340460f1c7f822dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:10:58.987636Z","signature_b64":"BjChE61WrxNBdFdmOkFKJIpIC3/v2MmqSASr422HpHV0GqVZsJJ4r1b9+TZnGyyA0lXKWR09qfwssNgLJB7JAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0ff52d67e3e0c6fe3a3fa0c8cdd0083b04be60c373ff18e340460f1c7f822dc","last_reissued_at":"2026-06-19T16:10:58.987204Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:10:58.987204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.18357","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":"2026-06-19T16:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ATPbnv5fRNYMg5GOwYmeRy4EsqfbvVB5KbduiNcWDcYHbesw96oOSuuyh9RID7sQ0R+v27s3Oya3on1ckI9MDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:02:55.155077Z"},"content_sha256":"410ef89a927fe5c20b1b01fce27ea4bdbc1b65fe7d9008edfdf72d28480f7326","schema_version":"1.0","event_id":"sha256:410ef89a927fe5c20b1b01fce27ea4bdbc1b65fe7d9008edfdf72d28480f7326"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:YD7VFVT6HYGG7Y5D7IGIZXIAQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irreducible symplectic varieties via K3-del Pezzo double covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Riccardo Carini","submitted_at":"2026-06-16T18:04:53Z","abstract_excerpt":"We construct a series of irreducible symplectic varieties of dimension $2n$, for $2\\leq n\\leq 10$, with second Betti numbers $16\\leq b_2\\leq 24$. They arise as non-trivial terminalisations of finite symplectic quotients of Beauville-Mukai systems on very general K3-del Pezzo double covers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18357","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/2606.18357/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":"2026-06-19T16:10:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rQDyJPTWJgs29iTIfb3RFa0qRQhhn+tVB8H2YYRKPzuNciO0p/h8pEXF0DrAZM7GqCGatDEJknSR2gcq4yMaDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T14:02:55.156000Z"},"content_sha256":"6aa0ac0e3637143914c4f7988a6db29025b7fa1ec5893817dbe62cd8e9e87c86","schema_version":"1.0","event_id":"sha256:6aa0ac0e3637143914c4f7988a6db29025b7fa1ec5893817dbe62cd8e9e87c86"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YD7VFVT6HYGG7Y5D7IGIZXIAQO/bundle.json","state_url":"https://pith.science/pith/YD7VFVT6HYGG7Y5D7IGIZXIAQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YD7VFVT6HYGG7Y5D7IGIZXIAQO/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":"2026-08-12T14:02:55Z","links":{"resolver":"https://pith.science/pith/YD7VFVT6HYGG7Y5D7IGIZXIAQO","bundle":"https://pith.science/pith/YD7VFVT6HYGG7Y5D7IGIZXIAQO/bundle.json","state":"https://pith.science/pith/YD7VFVT6HYGG7Y5D7IGIZXIAQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YD7VFVT6HYGG7Y5D7IGIZXIAQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:YD7VFVT6HYGG7Y5D7IGIZXIAQO","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":"d394c8fa2d439915212647db8f530f2a7b2ffc6464d05fc4f7f565edca8250d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-16T18:04:53Z","title_canon_sha256":"18af992a8e4ee1ce0d9a1acc367f364f0b38c759131d7c06992d4f64683077d6"},"schema_version":"1.0","source":{"id":"2606.18357","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.18357","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"arxiv_version","alias_value":"2606.18357v1","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.18357","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"pith_short_12","alias_value":"YD7VFVT6HYGG","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"pith_short_16","alias_value":"YD7VFVT6HYGG7Y5D","created_at":"2026-06-19T16:10:58Z"},{"alias_kind":"pith_short_8","alias_value":"YD7VFVT6","created_at":"2026-06-19T16:10:58Z"}],"graph_snapshots":[{"event_id":"sha256:6aa0ac0e3637143914c4f7988a6db29025b7fa1ec5893817dbe62cd8e9e87c86","target":"graph","created_at":"2026-06-19T16:10:58Z","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/2606.18357/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a series of irreducible symplectic varieties of dimension $2n$, for $2\\leq n\\leq 10$, with second Betti numbers $16\\leq b_2\\leq 24$. They arise as non-trivial terminalisations of finite symplectic quotients of Beauville-Mukai systems on very general K3-del Pezzo double covers.","authors_text":"Riccardo Carini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-16T18:04:53Z","title":"Irreducible symplectic varieties via K3-del Pezzo double covers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.18357","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":"sha256:410ef89a927fe5c20b1b01fce27ea4bdbc1b65fe7d9008edfdf72d28480f7326","target":"record","created_at":"2026-06-19T16:10:58Z","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":"d394c8fa2d439915212647db8f530f2a7b2ffc6464d05fc4f7f565edca8250d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2026-06-16T18:04:53Z","title_canon_sha256":"18af992a8e4ee1ce0d9a1acc367f364f0b38c759131d7c06992d4f64683077d6"},"schema_version":"1.0","source":{"id":"2606.18357","kind":"arxiv","version":1}},"canonical_sha256":"c0ff52d67e3e0c6fe3a3fa0c8cdd0083b04be60c373ff18e340460f1c7f822dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0ff52d67e3e0c6fe3a3fa0c8cdd0083b04be60c373ff18e340460f1c7f822dc","first_computed_at":"2026-06-19T16:10:58.987204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:10:58.987204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BjChE61WrxNBdFdmOkFKJIpIC3/v2MmqSASr422HpHV0GqVZsJJ4r1b9+TZnGyyA0lXKWR09qfwssNgLJB7JAg==","signature_status":"signed_v1","signed_at":"2026-06-19T16:10:58.987636Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.18357","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:410ef89a927fe5c20b1b01fce27ea4bdbc1b65fe7d9008edfdf72d28480f7326","sha256:6aa0ac0e3637143914c4f7988a6db29025b7fa1ec5893817dbe62cd8e9e87c86"],"state_sha256":"3d5798d56088cc5ff621298a409ce937d1eeabe35f0bc18a9e93da83221be58d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FwwquRZEzcMI774f5iDqNKTMvVtOOaE+MFZMggtqIQ0lst6sqWQC+0BWXtFaZGWiUOdFrvTmAKOW7WXhpThODw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T14:02:55.161095Z","bundle_sha256":"bac6a8a4200cc3d6441ae8ae1bd81467d41fbef602b0e66f71e7aa0cfcbf8cbb"}}