{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CVYYYRFQOS2TCS2LMC57OO2BRS","short_pith_number":"pith:CVYYYRFQ","canonical_record":{"source":{"id":"1506.08793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-29T19:28:42Z","cross_cats_sorted":[],"title_canon_sha256":"2c89cc078aa2fbcae3325dfe46aa162e210d4f893d88134e00878a92ab1036de","abstract_canon_sha256":"461cfbf02a6f924ac30d8e15cc68beee9284ecae1b8731d6214edf88aabeece9"},"schema_version":"1.0"},"canonical_sha256":"15718c44b074b5314b4b60bbf73b418c9da685cd3c6c6689df39002d1edaa688","source":{"kind":"arxiv","id":"1506.08793","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08793","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08793v1","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08793","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"CVYYYRFQOS2T","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CVYYYRFQOS2TCS2L","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CVYYYRFQ","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CVYYYRFQOS2TCS2LMC57OO2BRS","target":"record","payload":{"canonical_record":{"source":{"id":"1506.08793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-29T19:28:42Z","cross_cats_sorted":[],"title_canon_sha256":"2c89cc078aa2fbcae3325dfe46aa162e210d4f893d88134e00878a92ab1036de","abstract_canon_sha256":"461cfbf02a6f924ac30d8e15cc68beee9284ecae1b8731d6214edf88aabeece9"},"schema_version":"1.0"},"canonical_sha256":"15718c44b074b5314b4b60bbf73b418c9da685cd3c6c6689df39002d1edaa688","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:43.426358Z","signature_b64":"YaHHiH2JC3z5wZofBl+CFzKhD/Ow2VMXi+/+CEiyn/Q1RoKoK8JJ5Dz+Nw4EZd5dS1iHnstiTrQZHJDGPHqtDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15718c44b074b5314b4b60bbf73b418c9da685cd3c6c6689df39002d1edaa688","last_reissued_at":"2026-05-18T01:37:43.425702Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:43.425702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.08793","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":"2026-05-18T01:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHTybTko8oe5MRNvlrDYZhXjozx0Ih9vCXJuhxD+fXxfmVAWSA/REtl7q/3g8wWowMj7BDKYdwz+4OqLqY6dBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:23:05.154447Z"},"content_sha256":"80fff17be00af885863c6ce6c87132c5da1af76dbc9b3a15ae6f66c3c5373c36","schema_version":"1.0","event_id":"sha256:80fff17be00af885863c6ce6c87132c5da1af76dbc9b3a15ae6f66c3c5373c36"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CVYYYRFQOS2TCS2LMC57OO2BRS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projectivity of Bridgeland Moduli Spaces on Del Pezzo Surfaces of Picard Rank 2","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniele Arcara, Eric Miles","submitted_at":"2015-06-29T19:28:42Z","abstract_excerpt":"We prove that, for a natural class of Bridgeland stability conditions on $\\mathbb{P}^1\\times\\mathbb{P}^1$ and the blow-up of $\\mathbb{P}^2$ at a point, the moduli spaces of Bridgeland semistable objects are projective. Our technique is to find suitable regions of stability conditions with hearts that are (after \"rotation\") equivalent to representations of a quiver. The helix and tilting theory is well-behaved on Del Pezzo surfaces and we conjecture that this program (begun in arXiv:1203.0316) runs successfully for all Del Pezzo surfaces, and the analogous Bridgeland moduli spaces are projectiv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08793","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":"2026-05-18T01:37:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qmli+Rob7R5bSWQ7IeFR4K7A15h+DWyKerf75cpTk8HckWkKncsi3RNqNKNPeNlxc0g5A1tOhSR2rI8F7mfPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T23:23:05.155153Z"},"content_sha256":"0b8219b4d43244f9c17217cd4ec6e2e64bc3864fe31623110365117b8e218981","schema_version":"1.0","event_id":"sha256:0b8219b4d43244f9c17217cd4ec6e2e64bc3864fe31623110365117b8e218981"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CVYYYRFQOS2TCS2LMC57OO2BRS/bundle.json","state_url":"https://pith.science/pith/CVYYYRFQOS2TCS2LMC57OO2BRS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CVYYYRFQOS2TCS2LMC57OO2BRS/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":"2026-06-05T23:23:05Z","links":{"resolver":"https://pith.science/pith/CVYYYRFQOS2TCS2LMC57OO2BRS","bundle":"https://pith.science/pith/CVYYYRFQOS2TCS2LMC57OO2BRS/bundle.json","state":"https://pith.science/pith/CVYYYRFQOS2TCS2LMC57OO2BRS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CVYYYRFQOS2TCS2LMC57OO2BRS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CVYYYRFQOS2TCS2LMC57OO2BRS","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":"461cfbf02a6f924ac30d8e15cc68beee9284ecae1b8731d6214edf88aabeece9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-29T19:28:42Z","title_canon_sha256":"2c89cc078aa2fbcae3325dfe46aa162e210d4f893d88134e00878a92ab1036de"},"schema_version":"1.0","source":{"id":"1506.08793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.08793","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"arxiv_version","alias_value":"1506.08793v1","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.08793","created_at":"2026-05-18T01:37:43Z"},{"alias_kind":"pith_short_12","alias_value":"CVYYYRFQOS2T","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CVYYYRFQOS2TCS2L","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CVYYYRFQ","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:0b8219b4d43244f9c17217cd4ec6e2e64bc3864fe31623110365117b8e218981","target":"graph","created_at":"2026-05-18T01:37:43Z","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 prove that, for a natural class of Bridgeland stability conditions on $\\mathbb{P}^1\\times\\mathbb{P}^1$ and the blow-up of $\\mathbb{P}^2$ at a point, the moduli spaces of Bridgeland semistable objects are projective. Our technique is to find suitable regions of stability conditions with hearts that are (after \"rotation\") equivalent to representations of a quiver. The helix and tilting theory is well-behaved on Del Pezzo surfaces and we conjecture that this program (begun in arXiv:1203.0316) runs successfully for all Del Pezzo surfaces, and the analogous Bridgeland moduli spaces are projectiv","authors_text":"Daniele Arcara, Eric Miles","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-29T19:28:42Z","title":"Projectivity of Bridgeland Moduli Spaces on Del Pezzo Surfaces of Picard Rank 2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.08793","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":"sha256:80fff17be00af885863c6ce6c87132c5da1af76dbc9b3a15ae6f66c3c5373c36","target":"record","created_at":"2026-05-18T01:37:43Z","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":"461cfbf02a6f924ac30d8e15cc68beee9284ecae1b8731d6214edf88aabeece9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-29T19:28:42Z","title_canon_sha256":"2c89cc078aa2fbcae3325dfe46aa162e210d4f893d88134e00878a92ab1036de"},"schema_version":"1.0","source":{"id":"1506.08793","kind":"arxiv","version":1}},"canonical_sha256":"15718c44b074b5314b4b60bbf73b418c9da685cd3c6c6689df39002d1edaa688","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15718c44b074b5314b4b60bbf73b418c9da685cd3c6c6689df39002d1edaa688","first_computed_at":"2026-05-18T01:37:43.425702Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:43.425702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YaHHiH2JC3z5wZofBl+CFzKhD/Ow2VMXi+/+CEiyn/Q1RoKoK8JJ5Dz+Nw4EZd5dS1iHnstiTrQZHJDGPHqtDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:43.426358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.08793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80fff17be00af885863c6ce6c87132c5da1af76dbc9b3a15ae6f66c3c5373c36","sha256:0b8219b4d43244f9c17217cd4ec6e2e64bc3864fe31623110365117b8e218981"],"state_sha256":"42a9cb2fe0d8ec5dfa6dab44f49b037491af02c0333bca62ef370048ad8a3ce6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0cHnX21+GeVlKP35IVGFN+g8EK7kn1aaX10qDTUTLOC5BFdtkv4Mf83knuxzyXpkccilTXxEW72sDGhKz7Q8DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T23:23:05.160237Z","bundle_sha256":"cb8e681fabeda20bc8a154973682d7d9b25414cb46eac2de8490d8fd71ac1641"}}