{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:N7UQR3MKJLCMI4O35XAFHH4YOJ","short_pith_number":"pith:N7UQR3MK","canonical_record":{"source":{"id":"0901.4431","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-01-28T10:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"83e0aef56ce1e1a07ce5f0eaa9ad29bab232cd77bf056ce7bb42aea9df173c82","abstract_canon_sha256":"07c6077e7ed75f852a13dc7723f322afcae39990e66ada349d34a1648a7d4716"},"schema_version":"1.0"},"canonical_sha256":"6fe908ed8a4ac4c471dbedc0539f9872449e0b7c31574e147fae65a3a9c08863","source":{"kind":"arxiv","id":"0901.4431","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4431","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4431v4","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4431","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"pith_short_12","alias_value":"N7UQR3MKJLCM","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"pith_short_16","alias_value":"N7UQR3MKJLCMI4O3","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"pith_short_8","alias_value":"N7UQR3MK","created_at":"2026-07-05T11:02:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:N7UQR3MKJLCMI4O35XAFHH4YOJ","target":"record","payload":{"canonical_record":{"source":{"id":"0901.4431","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-01-28T10:33:40Z","cross_cats_sorted":[],"title_canon_sha256":"83e0aef56ce1e1a07ce5f0eaa9ad29bab232cd77bf056ce7bb42aea9df173c82","abstract_canon_sha256":"07c6077e7ed75f852a13dc7723f322afcae39990e66ada349d34a1648a7d4716"},"schema_version":"1.0"},"canonical_sha256":"6fe908ed8a4ac4c471dbedc0539f9872449e0b7c31574e147fae65a3a9c08863","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:02:36.566324Z","signature_b64":"vQvd8pNhBNeSWYcDlNI0VQDZSfE7nB1GMx96HxUqz19Eb6XMvNY2QHqGQ1JxupoU9y1ytAFB4v62Mjdp2FhCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6fe908ed8a4ac4c471dbedc0539f9872449e0b7c31574e147fae65a3a9c08863","last_reissued_at":"2026-07-05T11:02:36.565814Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:02:36.565814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.4431","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:02:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ilEoIn2vnWU25QlmNawXinu7bTqdjZT0T3FwVO3bHFWjP3kxUM0I0tY2a0yi57XUsW3SxpWVgQK0PBgAYD6mAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:30:05.583004Z"},"content_sha256":"b5312a3e268770e630cbdebe82b4bdfe690311ec51cfd397cab8614537d13d74","schema_version":"1.0","event_id":"sha256:b5312a3e268770e630cbdebe82b4bdfe690311ec51cfd397cab8614537d13d74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:N7UQR3MKJLCMI4O35XAFHH4YOJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Rita Pardini, Valery Alexeev","submitted_at":"2009-01-28T10:33:40Z","abstract_excerpt":"We describe explicitly the geometric compactifications, obtained by adding slc surfaces $X$ with ample canonical class, for two connected components in the moduli space of surfaces of general type: Campedelli surfaces with $\\pi_1(X)=\\mathbb Z_2^3$ and Burniat surfaces with $K^2=6$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4431","kind":"arxiv","version":4},"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/0901.4431/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":"2026-07-05T11:02:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nj9Av2LZPP7345d5/DM6lzzHsaXCpwQdugWnI8YqXW2oZNc4/5r33l/Zt/u9+8A5LDfUURbnP2FK6fp8wxzOBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T02:30:05.583660Z"},"content_sha256":"26ca688df1202f0b91fcc22257e38a42eec1d58a1faa9ecd965154c0362d7303","schema_version":"1.0","event_id":"sha256:26ca688df1202f0b91fcc22257e38a42eec1d58a1faa9ecd965154c0362d7303"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N7UQR3MKJLCMI4O35XAFHH4YOJ/bundle.json","state_url":"https://pith.science/pith/N7UQR3MKJLCMI4O35XAFHH4YOJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N7UQR3MKJLCMI4O35XAFHH4YOJ/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":"2026-08-05T02:30:05Z","links":{"resolver":"https://pith.science/pith/N7UQR3MKJLCMI4O35XAFHH4YOJ","bundle":"https://pith.science/pith/N7UQR3MKJLCMI4O35XAFHH4YOJ/bundle.json","state":"https://pith.science/pith/N7UQR3MKJLCMI4O35XAFHH4YOJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N7UQR3MKJLCMI4O35XAFHH4YOJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:N7UQR3MKJLCMI4O35XAFHH4YOJ","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":"07c6077e7ed75f852a13dc7723f322afcae39990e66ada349d34a1648a7d4716","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-01-28T10:33:40Z","title_canon_sha256":"83e0aef56ce1e1a07ce5f0eaa9ad29bab232cd77bf056ce7bb42aea9df173c82"},"schema_version":"1.0","source":{"id":"0901.4431","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.4431","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"arxiv_version","alias_value":"0901.4431v4","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.4431","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"pith_short_12","alias_value":"N7UQR3MKJLCM","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"pith_short_16","alias_value":"N7UQR3MKJLCMI4O3","created_at":"2026-07-05T11:02:36Z"},{"alias_kind":"pith_short_8","alias_value":"N7UQR3MK","created_at":"2026-07-05T11:02:36Z"}],"graph_snapshots":[{"event_id":"sha256:26ca688df1202f0b91fcc22257e38a42eec1d58a1faa9ecd965154c0362d7303","target":"graph","created_at":"2026-07-05T11:02:36Z","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/0901.4431/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe explicitly the geometric compactifications, obtained by adding slc surfaces $X$ with ample canonical class, for two connected components in the moduli space of surfaces of general type: Campedelli surfaces with $\\pi_1(X)=\\mathbb Z_2^3$ and Burniat surfaces with $K^2=6$.","authors_text":"Rita Pardini, Valery Alexeev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-01-28T10:33:40Z","title":"Explicit compactifications of moduli spaces of Campedelli and Burniat surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.4431","kind":"arxiv","version":4},"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:b5312a3e268770e630cbdebe82b4bdfe690311ec51cfd397cab8614537d13d74","target":"record","created_at":"2026-07-05T11:02:36Z","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":"07c6077e7ed75f852a13dc7723f322afcae39990e66ada349d34a1648a7d4716","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2009-01-28T10:33:40Z","title_canon_sha256":"83e0aef56ce1e1a07ce5f0eaa9ad29bab232cd77bf056ce7bb42aea9df173c82"},"schema_version":"1.0","source":{"id":"0901.4431","kind":"arxiv","version":4}},"canonical_sha256":"6fe908ed8a4ac4c471dbedc0539f9872449e0b7c31574e147fae65a3a9c08863","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6fe908ed8a4ac4c471dbedc0539f9872449e0b7c31574e147fae65a3a9c08863","first_computed_at":"2026-07-05T11:02:36.565814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:02:36.565814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vQvd8pNhBNeSWYcDlNI0VQDZSfE7nB1GMx96HxUqz19Eb6XMvNY2QHqGQ1JxupoU9y1ytAFB4v62Mjdp2FhCDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:02:36.566324Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.4431","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b5312a3e268770e630cbdebe82b4bdfe690311ec51cfd397cab8614537d13d74","sha256:26ca688df1202f0b91fcc22257e38a42eec1d58a1faa9ecd965154c0362d7303"],"state_sha256":"beb6db51c0718d05b47ac6157a96e3e84c7390cf73c73327f2e85887ec69e574"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"27F/TesqvAQgiax8yVeQncm7jzD+cO0slI696GC/++ea1A/xoaSryeEDDf4Mk9JDCyoDIkwuE1cJj9ov3rnxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T02:30:05.591159Z","bundle_sha256":"d2096e79bcafacb8aa0844d16d32ee22d44d3155157b84b2c05401a9e6973a20"}}