{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:M3C5A55XUZFSD46ZCSDCBCLGTY","short_pith_number":"pith:M3C5A55X","canonical_record":{"source":{"id":"1808.03498","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-10T12:04:29Z","cross_cats_sorted":[],"title_canon_sha256":"1b90ae6cc9ed3b94d24dc5f2e63da409bcd7cf78227692db599fa4a138a89bc3","abstract_canon_sha256":"40a977264e34811b1ce95542a525eb6f2dcddb862019f71f3843e1b238eeff89"},"schema_version":"1.0"},"canonical_sha256":"66c5d077b7a64b21f3d914862089669e0304c9909b51a8f32e3f723766d4fbe8","source":{"kind":"arxiv","id":"1808.03498","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03498","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03498v2","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03498","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"M3C5A55XUZFS","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M3C5A55XUZFSD46Z","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M3C5A55X","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:M3C5A55XUZFSD46ZCSDCBCLGTY","target":"record","payload":{"canonical_record":{"source":{"id":"1808.03498","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-10T12:04:29Z","cross_cats_sorted":[],"title_canon_sha256":"1b90ae6cc9ed3b94d24dc5f2e63da409bcd7cf78227692db599fa4a138a89bc3","abstract_canon_sha256":"40a977264e34811b1ce95542a525eb6f2dcddb862019f71f3843e1b238eeff89"},"schema_version":"1.0"},"canonical_sha256":"66c5d077b7a64b21f3d914862089669e0304c9909b51a8f32e3f723766d4fbe8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:05.548910Z","signature_b64":"ZqAi11anoB65zYJFsm6L9cAFsetZUgL1mgS1A0sl0SFwjY6XeD072i5UwWSHrb7GDXm2JQ1meIqNaLhq+3XNBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66c5d077b7a64b21f3d914862089669e0304c9909b51a8f32e3f723766d4fbe8","last_reissued_at":"2026-05-17T23:51:05.548254Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:05.548254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.03498","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":"2026-05-17T23:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oLF9YBBOQzYnCQhIFKK+4/ZMaSdhFEhZBIlQQBNj6fZ4jPhZvok9tbmWVgPNcs2mmex/5GrkIKW+UU+Qi9lpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T21:56:03.575032Z"},"content_sha256":"8a1d78733df8addbf9ec268dd9e4e0c8b6fcb4a3a089533703e8275042508b62","schema_version":"1.0","event_id":"sha256:8a1d78733df8addbf9ec268dd9e4e0c8b6fcb4a3a089533703e8275042508b62"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:M3C5A55XUZFSD46ZCSDCBCLGTY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Obstacle for Higher Regularity of Geodesics in the Space of K\\\"ahler Potentials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Jingchen Hu","submitted_at":"2018-08-10T12:04:29Z","abstract_excerpt":"In this paper we address the following question regarding the regularity of geodesics in the space of K\\\"ahler potentials. Given a geodesic which is highly regular, and has smooth boundary value, can we expect that it is actually smooth? We construct an example to show that the answer to the question is ``no\"."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03498","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":"2026-05-17T23:51:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"41oalRnIBytM8uRb0U78nI9jl7ofCoGBvXP16EuTewVkveAciSrxevWPfvJln1DkBx1ja5S8urxO0Fjo4XFsAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T21:56:03.575389Z"},"content_sha256":"5fe1a0808cd5ff64f06e640fea84acc1336436576377f95b8d390a419cec27d9","schema_version":"1.0","event_id":"sha256:5fe1a0808cd5ff64f06e640fea84acc1336436576377f95b8d390a419cec27d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M3C5A55XUZFSD46ZCSDCBCLGTY/bundle.json","state_url":"https://pith.science/pith/M3C5A55XUZFSD46ZCSDCBCLGTY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M3C5A55XUZFSD46ZCSDCBCLGTY/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":"2026-06-21T21:56:03Z","links":{"resolver":"https://pith.science/pith/M3C5A55XUZFSD46ZCSDCBCLGTY","bundle":"https://pith.science/pith/M3C5A55XUZFSD46ZCSDCBCLGTY/bundle.json","state":"https://pith.science/pith/M3C5A55XUZFSD46ZCSDCBCLGTY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M3C5A55XUZFSD46ZCSDCBCLGTY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:M3C5A55XUZFSD46ZCSDCBCLGTY","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":"40a977264e34811b1ce95542a525eb6f2dcddb862019f71f3843e1b238eeff89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-10T12:04:29Z","title_canon_sha256":"1b90ae6cc9ed3b94d24dc5f2e63da409bcd7cf78227692db599fa4a138a89bc3"},"schema_version":"1.0","source":{"id":"1808.03498","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.03498","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"arxiv_version","alias_value":"1808.03498v2","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.03498","created_at":"2026-05-17T23:51:05Z"},{"alias_kind":"pith_short_12","alias_value":"M3C5A55XUZFS","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"M3C5A55XUZFSD46Z","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"M3C5A55X","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:5fe1a0808cd5ff64f06e640fea84acc1336436576377f95b8d390a419cec27d9","target":"graph","created_at":"2026-05-17T23:51:05Z","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":"In this paper we address the following question regarding the regularity of geodesics in the space of K\\\"ahler potentials. Given a geodesic which is highly regular, and has smooth boundary value, can we expect that it is actually smooth? We construct an example to show that the answer to the question is ``no\".","authors_text":"Jingchen Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-10T12:04:29Z","title":"An Obstacle for Higher Regularity of Geodesics in the Space of K\\\"ahler Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.03498","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":"sha256:8a1d78733df8addbf9ec268dd9e4e0c8b6fcb4a3a089533703e8275042508b62","target":"record","created_at":"2026-05-17T23:51:05Z","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":"40a977264e34811b1ce95542a525eb6f2dcddb862019f71f3843e1b238eeff89","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-08-10T12:04:29Z","title_canon_sha256":"1b90ae6cc9ed3b94d24dc5f2e63da409bcd7cf78227692db599fa4a138a89bc3"},"schema_version":"1.0","source":{"id":"1808.03498","kind":"arxiv","version":2}},"canonical_sha256":"66c5d077b7a64b21f3d914862089669e0304c9909b51a8f32e3f723766d4fbe8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66c5d077b7a64b21f3d914862089669e0304c9909b51a8f32e3f723766d4fbe8","first_computed_at":"2026-05-17T23:51:05.548254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:05.548254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZqAi11anoB65zYJFsm6L9cAFsetZUgL1mgS1A0sl0SFwjY6XeD072i5UwWSHrb7GDXm2JQ1meIqNaLhq+3XNBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:05.548910Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.03498","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a1d78733df8addbf9ec268dd9e4e0c8b6fcb4a3a089533703e8275042508b62","sha256:5fe1a0808cd5ff64f06e640fea84acc1336436576377f95b8d390a419cec27d9"],"state_sha256":"21ae22a97b9a0bc0e4b6ee67cff54de4b97e2a19618f4d1d3d65fdb1169d143d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ep8bC8Ti8hRw+wU20yAJHus+zUKFgW9DZSh7HvwTA4LVr6B/FjmOzVGS66Gn/aLGuqT1X15cVJMHhlzBUJReDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T21:56:03.577593Z","bundle_sha256":"87883542e685ca17dae08630f987354dd47195b8113e13c9b433e158e64ff18b"}}