{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DOH2BRCHEDECEMX7FTHGQLL3L5","short_pith_number":"pith:DOH2BRCH","canonical_record":{"source":{"id":"1803.05781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-15T14:37:08Z","cross_cats_sorted":[],"title_canon_sha256":"d958b724f39e2e83520173f89220ab6279daa0bc5afc563ebfab220d3d8ccc1b","abstract_canon_sha256":"5da70791ca46b0ac6b4226d0fb8208838934cd8020d400c6908482c14899dbb8"},"schema_version":"1.0"},"canonical_sha256":"1b8fa0c44720c82232ff2cce682d7b5f6413b06be32960797c739aeee0e1ecf4","source":{"kind":"arxiv","id":"1803.05781","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05781","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05781v1","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05781","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"DOH2BRCHEDEC","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DOH2BRCHEDECEMX7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DOH2BRCH","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DOH2BRCHEDECEMX7FTHGQLL3L5","target":"record","payload":{"canonical_record":{"source":{"id":"1803.05781","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-15T14:37:08Z","cross_cats_sorted":[],"title_canon_sha256":"d958b724f39e2e83520173f89220ab6279daa0bc5afc563ebfab220d3d8ccc1b","abstract_canon_sha256":"5da70791ca46b0ac6b4226d0fb8208838934cd8020d400c6908482c14899dbb8"},"schema_version":"1.0"},"canonical_sha256":"1b8fa0c44720c82232ff2cce682d7b5f6413b06be32960797c739aeee0e1ecf4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:54.692056Z","signature_b64":"BaeZwKvU6DKEbQDze1paDDuJj/WdglYNau46qXIpl8PgenURcVesRKnPMmTNiDT21euQouhR4gzCUiZjo9mqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b8fa0c44720c82232ff2cce682d7b5f6413b06be32960797c739aeee0e1ecf4","last_reissued_at":"2026-05-18T00:20:54.691523Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:54.691523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.05781","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":"2026-05-18T00:20:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d0RiMc6Aaiv7N2re2nFgieA65D0a1qAE21z4+uyk6gRGk6RikzQXWjK9vqK1PS0JE/A7E5UkI8pPp7T7bFNpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:32:45.876488Z"},"content_sha256":"14f5e89f21ef101e517e32ddbd86cf8e6d59ff8c00c0e8d9cfad08b5ad6737c7","schema_version":"1.0","event_id":"sha256:14f5e89f21ef101e517e32ddbd86cf8e6d59ff8c00c0e8d9cfad08b5ad6737c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DOH2BRCHEDECEMX7FTHGQLL3L5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rational homology balls in $2$-handlebodies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Dongsoo Shin, Heesang Park","submitted_at":"2018-03-15T14:37:08Z","abstract_excerpt":"We prove that there are rational homology balls $B_p$ smoothly embedded in the $2$-handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the $2$-handlebody along the embedded rational homology ball $B_p$, then the resulting $4$-manifold cannot be obtained just by a sequence of ordinary blow ups from the $2$-handlebody under a certain mild condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05781","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":"2026-05-18T00:20:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q/wuD292aCuc6gvZn0Mcya6aZRKd55RUhnXoDibDJEcMTM7cIlk1y3LjFwamQFCTPteIrafqUNiRCVJwtoB4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:32:45.877123Z"},"content_sha256":"17b985ccd4b45682d9b51415cfac602f6fa258b8848257bf8466e84bb79a310b","schema_version":"1.0","event_id":"sha256:17b985ccd4b45682d9b51415cfac602f6fa258b8848257bf8466e84bb79a310b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DOH2BRCHEDECEMX7FTHGQLL3L5/bundle.json","state_url":"https://pith.science/pith/DOH2BRCHEDECEMX7FTHGQLL3L5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DOH2BRCHEDECEMX7FTHGQLL3L5/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":"2026-06-01T01:32:45Z","links":{"resolver":"https://pith.science/pith/DOH2BRCHEDECEMX7FTHGQLL3L5","bundle":"https://pith.science/pith/DOH2BRCHEDECEMX7FTHGQLL3L5/bundle.json","state":"https://pith.science/pith/DOH2BRCHEDECEMX7FTHGQLL3L5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DOH2BRCHEDECEMX7FTHGQLL3L5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DOH2BRCHEDECEMX7FTHGQLL3L5","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":"5da70791ca46b0ac6b4226d0fb8208838934cd8020d400c6908482c14899dbb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-15T14:37:08Z","title_canon_sha256":"d958b724f39e2e83520173f89220ab6279daa0bc5afc563ebfab220d3d8ccc1b"},"schema_version":"1.0","source":{"id":"1803.05781","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.05781","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"arxiv_version","alias_value":"1803.05781v1","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05781","created_at":"2026-05-18T00:20:54Z"},{"alias_kind":"pith_short_12","alias_value":"DOH2BRCHEDEC","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DOH2BRCHEDECEMX7","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DOH2BRCH","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:17b985ccd4b45682d9b51415cfac602f6fa258b8848257bf8466e84bb79a310b","target":"graph","created_at":"2026-05-18T00:20:54Z","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 there are rational homology balls $B_p$ smoothly embedded in the $2$-handlebodies associated to certain knots. Furthermore we show that, if we rationally blow up the $2$-handlebody along the embedded rational homology ball $B_p$, then the resulting $4$-manifold cannot be obtained just by a sequence of ordinary blow ups from the $2$-handlebody under a certain mild condition.","authors_text":"Dongsoo Shin, Heesang Park","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-15T14:37:08Z","title":"Rational homology balls in $2$-handlebodies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05781","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":"sha256:14f5e89f21ef101e517e32ddbd86cf8e6d59ff8c00c0e8d9cfad08b5ad6737c7","target":"record","created_at":"2026-05-18T00:20:54Z","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":"5da70791ca46b0ac6b4226d0fb8208838934cd8020d400c6908482c14899dbb8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-15T14:37:08Z","title_canon_sha256":"d958b724f39e2e83520173f89220ab6279daa0bc5afc563ebfab220d3d8ccc1b"},"schema_version":"1.0","source":{"id":"1803.05781","kind":"arxiv","version":1}},"canonical_sha256":"1b8fa0c44720c82232ff2cce682d7b5f6413b06be32960797c739aeee0e1ecf4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b8fa0c44720c82232ff2cce682d7b5f6413b06be32960797c739aeee0e1ecf4","first_computed_at":"2026-05-18T00:20:54.691523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:54.691523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BaeZwKvU6DKEbQDze1paDDuJj/WdglYNau46qXIpl8PgenURcVesRKnPMmTNiDT21euQouhR4gzCUiZjo9mqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:54.692056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.05781","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14f5e89f21ef101e517e32ddbd86cf8e6d59ff8c00c0e8d9cfad08b5ad6737c7","sha256:17b985ccd4b45682d9b51415cfac602f6fa258b8848257bf8466e84bb79a310b"],"state_sha256":"f903852277b15570d972976699c3e354efaf0c7b1a46323e23a0f10f71985ca9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V/VqehobFg3kGbscbSudc/0GWIbmhhRlIjjJ4/9rJDnsOFgcDhledlImYLMauVvUdAlRJyRaQI++Kf3XbAbsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:32:45.880050Z","bundle_sha256":"216d29b48980c67bab1a5121ecb2be2f3b13d6695d6f30c4a84eeef9a732998b"}}