{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:4JAZG5PPQBKMUWHALXQWSCTKDV","short_pith_number":"pith:4JAZG5PP","canonical_record":{"source":{"id":"1012.5843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-28T21:19:12Z","cross_cats_sorted":[],"title_canon_sha256":"e81a695b0e0d1c05b4ccd21aa053d168615b804bc093620901aba4154cd49f3b","abstract_canon_sha256":"aacf5380f15678d48fd4c356624a99b858fbda0d68fd816518f87bf81a6e7389"},"schema_version":"1.0"},"canonical_sha256":"e2419375ef8054ca58e05de1690a6a1d74ed8567cb9aa72ed6d4956d17383ecb","source":{"kind":"arxiv","id":"1012.5843","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5843","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5843v1","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5843","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"pith_short_12","alias_value":"4JAZG5PPQBKM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4JAZG5PPQBKMUWHA","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4JAZG5PP","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:4JAZG5PPQBKMUWHALXQWSCTKDV","target":"record","payload":{"canonical_record":{"source":{"id":"1012.5843","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-28T21:19:12Z","cross_cats_sorted":[],"title_canon_sha256":"e81a695b0e0d1c05b4ccd21aa053d168615b804bc093620901aba4154cd49f3b","abstract_canon_sha256":"aacf5380f15678d48fd4c356624a99b858fbda0d68fd816518f87bf81a6e7389"},"schema_version":"1.0"},"canonical_sha256":"e2419375ef8054ca58e05de1690a6a1d74ed8567cb9aa72ed6d4956d17383ecb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:21.382856Z","signature_b64":"IknHwBh0y3Srr8qq5D5OauyJ1duEToaF5l/rr5Icht0YkidU5GcM+tcYc0af/FniJTSoWV6u2OVsWILUQ5QfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2419375ef8054ca58e05de1690a6a1d74ed8567cb9aa72ed6d4956d17383ecb","last_reissued_at":"2026-05-18T04:32:21.379922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:21.379922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.5843","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":"2026-05-18T04:32:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pcKoPoa7ENvYf/kAMvPD5jF6voW3Lte2iKTLZID3HHaFdLTBCqpUg16GnAUC98aHBdvEPeYOQeNdbVsW6t32Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:34:02.492381Z"},"content_sha256":"a79c09676644cce5d40abd20d948e9ee358aef17d9141027b53cfddd243c057a","schema_version":"1.0","event_id":"sha256:a79c09676644cce5d40abd20d948e9ee358aef17d9141027b53cfddd243c057a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:4JAZG5PPQBKMUWHALXQWSCTKDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"G\\\"unther Trautmann, Oleksandr Iena","submitted_at":"2010-12-28T21:19:12Z","abstract_excerpt":"We consider the moduli space of stable vector bundles on curves embedded in P_2 with Hilbert polynomial 3m+1 and construct a compactification of this space by vector bundles. The result is a blow up of the Simpson moduli space M_{3m+1}(P_2)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5843","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":""},"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":"2026-05-18T04:32:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TfOI4313870ErRocIdUNv0ObU4S2JuQSpPLDG8F+IO/z8VyXdsNulczBnX6xGwebWepXZS1+Yi8b574xSn7YCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T15:34:02.492737Z"},"content_sha256":"91f9634fb22cd0dc68f862c66ed85734301d0f3e53f097f7ae9594df2790917e","schema_version":"1.0","event_id":"sha256:91f9634fb22cd0dc68f862c66ed85734301d0f3e53f097f7ae9594df2790917e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4JAZG5PPQBKMUWHALXQWSCTKDV/bundle.json","state_url":"https://pith.science/pith/4JAZG5PPQBKMUWHALXQWSCTKDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4JAZG5PPQBKMUWHALXQWSCTKDV/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":"2026-06-26T15:34:02Z","links":{"resolver":"https://pith.science/pith/4JAZG5PPQBKMUWHALXQWSCTKDV","bundle":"https://pith.science/pith/4JAZG5PPQBKMUWHALXQWSCTKDV/bundle.json","state":"https://pith.science/pith/4JAZG5PPQBKMUWHALXQWSCTKDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4JAZG5PPQBKMUWHALXQWSCTKDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:4JAZG5PPQBKMUWHALXQWSCTKDV","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":"aacf5380f15678d48fd4c356624a99b858fbda0d68fd816518f87bf81a6e7389","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-28T21:19:12Z","title_canon_sha256":"e81a695b0e0d1c05b4ccd21aa053d168615b804bc093620901aba4154cd49f3b"},"schema_version":"1.0","source":{"id":"1012.5843","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.5843","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"arxiv_version","alias_value":"1012.5843v1","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.5843","created_at":"2026-05-18T04:32:21Z"},{"alias_kind":"pith_short_12","alias_value":"4JAZG5PPQBKM","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"4JAZG5PPQBKMUWHA","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"4JAZG5PP","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:91f9634fb22cd0dc68f862c66ed85734301d0f3e53f097f7ae9594df2790917e","target":"graph","created_at":"2026-05-18T04:32:21Z","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"},"paper":{"abstract_excerpt":"We consider the moduli space of stable vector bundles on curves embedded in P_2 with Hilbert polynomial 3m+1 and construct a compactification of this space by vector bundles. The result is a blow up of the Simpson moduli space M_{3m+1}(P_2).","authors_text":"G\\\"unther Trautmann, Oleksandr Iena","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-28T21:19:12Z","title":"Modification of the Simpson moduli space M_{3m+1}(P_2) by vector bundles (I)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.5843","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:a79c09676644cce5d40abd20d948e9ee358aef17d9141027b53cfddd243c057a","target":"record","created_at":"2026-05-18T04:32:21Z","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":"aacf5380f15678d48fd4c356624a99b858fbda0d68fd816518f87bf81a6e7389","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-28T21:19:12Z","title_canon_sha256":"e81a695b0e0d1c05b4ccd21aa053d168615b804bc093620901aba4154cd49f3b"},"schema_version":"1.0","source":{"id":"1012.5843","kind":"arxiv","version":1}},"canonical_sha256":"e2419375ef8054ca58e05de1690a6a1d74ed8567cb9aa72ed6d4956d17383ecb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2419375ef8054ca58e05de1690a6a1d74ed8567cb9aa72ed6d4956d17383ecb","first_computed_at":"2026-05-18T04:32:21.379922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:21.379922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IknHwBh0y3Srr8qq5D5OauyJ1duEToaF5l/rr5Icht0YkidU5GcM+tcYc0af/FniJTSoWV6u2OVsWILUQ5QfBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:21.382856Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.5843","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a79c09676644cce5d40abd20d948e9ee358aef17d9141027b53cfddd243c057a","sha256:91f9634fb22cd0dc68f862c66ed85734301d0f3e53f097f7ae9594df2790917e"],"state_sha256":"93d3dfa84c621110e47a6fba4d872b95e8d0496c2fac69557eab362a53f4db24"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GIMTCxrAEpG4GW0/Hm3h5vS1JLo3L5LON/Md7lnkV2aO6Mz2tBf5FXnLwKoQ0x1jh3h6uq+UZWMJ89OCJCM+Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T15:34:02.494776Z","bundle_sha256":"f64ef956d843e3f98c16ce4259aef5f05b4df684876bdb1ab1f01fb395718816"}}