{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SROKY7KJ7US6LTXBXRQBX4GBFM","short_pith_number":"pith:SROKY7KJ","canonical_record":{"source":{"id":"1212.6920","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-12-31T16:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"169d546d6cce1f89ef890138f0b514b8d4b68c4838e199679f32e806d7405b3e","abstract_canon_sha256":"66cb3283f52faa4ee520b52e532c9e60dfe3c24043202afb1f78507f88144328"},"schema_version":"1.0"},"canonical_sha256":"945cac7d49fd25e5cee1bc601bf0c12b02bcfae302674b7cfabc83d7020ecc60","source":{"kind":"arxiv","id":"1212.6920","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6920","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6920v2","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6920","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"pith_short_12","alias_value":"SROKY7KJ7US6","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SROKY7KJ7US6LTXB","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SROKY7KJ","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SROKY7KJ7US6LTXBXRQBX4GBFM","target":"record","payload":{"canonical_record":{"source":{"id":"1212.6920","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-12-31T16:21:47Z","cross_cats_sorted":[],"title_canon_sha256":"169d546d6cce1f89ef890138f0b514b8d4b68c4838e199679f32e806d7405b3e","abstract_canon_sha256":"66cb3283f52faa4ee520b52e532c9e60dfe3c24043202afb1f78507f88144328"},"schema_version":"1.0"},"canonical_sha256":"945cac7d49fd25e5cee1bc601bf0c12b02bcfae302674b7cfabc83d7020ecc60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:45.250292Z","signature_b64":"9qYCLVNJ5MLBK8gSTI1sbvmfKo1tmcSPgN/8PPeOqIzIA5Dnfiv3sQGGT/7ksrg50Ba0R0WSWuvndxVk49YjAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"945cac7d49fd25e5cee1bc601bf0c12b02bcfae302674b7cfabc83d7020ecc60","last_reissued_at":"2026-05-18T03:15:45.249527Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:45.249527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.6920","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:15:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qHJRe9KDEGtg9OZbCxE/DKzbIIWB9Q3jP/qeSpCWoErvJpl1DC2Qu9hd300z7Uf3y7vKEFrEKVDzEO2LEBcCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:11:51.857433Z"},"content_sha256":"51df305cbce23bef970b2f8eb39a083e11ab2aba18e2ac4eda9058ad9b602b0d","schema_version":"1.0","event_id":"sha256:51df305cbce23bef970b2f8eb39a083e11ab2aba18e2ac4eda9058ad9b602b0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SROKY7KJ7US6LTXBXRQBX4GBFM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rank-stable limit of completed moduli spaces of instantons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Jo\\~ao Paulo Santos","submitted_at":"2012-12-31T16:21:47Z","abstract_excerpt":"Nakajima introduced a resolution of singularities of the Donaldson-Uhlenbeck completion of the moduli space of based instantons over $S^4$. For $k\\leq 4$, we extend this result to $\\mathbb P^2$ and compute, in the rank-stable limit, the homotopy type of these spaces by showing that, in this limit, these constructions yield universal bundles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6920","kind":"arxiv","version":2},"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":"2026-05-18T03:15:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AasYTKn9yJ1dJKSAvhweA5CiuDycZ+CopFb6/GsulUNy4al+TBiCCuBNKdBeArujbqQcNwO3c1lSf/VSAmP+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T14:11:51.857775Z"},"content_sha256":"4afbf3cac9e3e8ef81ed916cefd4339056b8acd8e9d4760b4b80a126e993a645","schema_version":"1.0","event_id":"sha256:4afbf3cac9e3e8ef81ed916cefd4339056b8acd8e9d4760b4b80a126e993a645"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SROKY7KJ7US6LTXBXRQBX4GBFM/bundle.json","state_url":"https://pith.science/pith/SROKY7KJ7US6LTXBXRQBX4GBFM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SROKY7KJ7US6LTXBXRQBX4GBFM/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":"2026-06-23T14:11:51Z","links":{"resolver":"https://pith.science/pith/SROKY7KJ7US6LTXBXRQBX4GBFM","bundle":"https://pith.science/pith/SROKY7KJ7US6LTXBXRQBX4GBFM/bundle.json","state":"https://pith.science/pith/SROKY7KJ7US6LTXBXRQBX4GBFM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SROKY7KJ7US6LTXBXRQBX4GBFM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SROKY7KJ7US6LTXBXRQBX4GBFM","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":"66cb3283f52faa4ee520b52e532c9e60dfe3c24043202afb1f78507f88144328","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-12-31T16:21:47Z","title_canon_sha256":"169d546d6cce1f89ef890138f0b514b8d4b68c4838e199679f32e806d7405b3e"},"schema_version":"1.0","source":{"id":"1212.6920","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6920","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6920v2","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6920","created_at":"2026-05-18T03:15:45Z"},{"alias_kind":"pith_short_12","alias_value":"SROKY7KJ7US6","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SROKY7KJ7US6LTXB","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SROKY7KJ","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:4afbf3cac9e3e8ef81ed916cefd4339056b8acd8e9d4760b4b80a126e993a645","target":"graph","created_at":"2026-05-18T03:15:45Z","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":"Nakajima introduced a resolution of singularities of the Donaldson-Uhlenbeck completion of the moduli space of based instantons over $S^4$. For $k\\leq 4$, we extend this result to $\\mathbb P^2$ and compute, in the rank-stable limit, the homotopy type of these spaces by showing that, in this limit, these constructions yield universal bundles.","authors_text":"Jo\\~ao Paulo Santos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-12-31T16:21:47Z","title":"Rank-stable limit of completed moduli spaces of instantons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6920","kind":"arxiv","version":2},"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":"sha256:51df305cbce23bef970b2f8eb39a083e11ab2aba18e2ac4eda9058ad9b602b0d","target":"record","created_at":"2026-05-18T03:15:45Z","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":"66cb3283f52faa4ee520b52e532c9e60dfe3c24043202afb1f78507f88144328","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-12-31T16:21:47Z","title_canon_sha256":"169d546d6cce1f89ef890138f0b514b8d4b68c4838e199679f32e806d7405b3e"},"schema_version":"1.0","source":{"id":"1212.6920","kind":"arxiv","version":2}},"canonical_sha256":"945cac7d49fd25e5cee1bc601bf0c12b02bcfae302674b7cfabc83d7020ecc60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"945cac7d49fd25e5cee1bc601bf0c12b02bcfae302674b7cfabc83d7020ecc60","first_computed_at":"2026-05-18T03:15:45.249527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:15:45.249527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9qYCLVNJ5MLBK8gSTI1sbvmfKo1tmcSPgN/8PPeOqIzIA5Dnfiv3sQGGT/7ksrg50Ba0R0WSWuvndxVk49YjAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:15:45.250292Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6920","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51df305cbce23bef970b2f8eb39a083e11ab2aba18e2ac4eda9058ad9b602b0d","sha256:4afbf3cac9e3e8ef81ed916cefd4339056b8acd8e9d4760b4b80a126e993a645"],"state_sha256":"5010f57d38b3a2b5ba7ad5e54746f619cc8467202f6751be59b176a103078cd5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pkTiwEqxFS6aS8q4FXAEqLALGVE3nu+vQyjMau5G1tJvrAGLetieGP5wOcEDOApY/n8H6x28jezalqEE625xBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T14:11:51.859675Z","bundle_sha256":"40580845881ecde2adf707add0067946e80857ab66665ad04fed27a9aebfd01b"}}