{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:43KONOULVLKNC2GNJY2QC3QYCJ","short_pith_number":"pith:43KONOUL","canonical_record":{"source":{"id":"1809.03116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-09-10T03:12:52Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"44ced81f6e6385b9286b5b1e50b0681fee4aefa9d17e4c81d9e6f3aa23d7c82d","abstract_canon_sha256":"5cce6ff6de4f356384d6eac221c3d76ae40ab1915ede686f5ac892b359394661"},"schema_version":"1.0"},"canonical_sha256":"e6d4e6ba8baad4d168cd4e35016e181259238c19269c2ff80190bcf3d0eb3bbe","source":{"kind":"arxiv","id":"1809.03116","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03116","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03116v1","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03116","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"pith_short_12","alias_value":"43KONOULVLKN","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"pith_short_16","alias_value":"43KONOULVLKNC2GN","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"pith_short_8","alias_value":"43KONOUL","created_at":"2026-07-05T08:13:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:43KONOULVLKNC2GNJY2QC3QYCJ","target":"record","payload":{"canonical_record":{"source":{"id":"1809.03116","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-09-10T03:12:52Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"44ced81f6e6385b9286b5b1e50b0681fee4aefa9d17e4c81d9e6f3aa23d7c82d","abstract_canon_sha256":"5cce6ff6de4f356384d6eac221c3d76ae40ab1915ede686f5ac892b359394661"},"schema_version":"1.0"},"canonical_sha256":"e6d4e6ba8baad4d168cd4e35016e181259238c19269c2ff80190bcf3d0eb3bbe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:13:50.539668Z","signature_b64":"vc1K1z3XAT43HX5Zi2+kT9qza1B3kT5tK579Bkxfl8iOLetuEQV3KxwFKA3XnJeUn3Exz+VYTiGMT/u14MirDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e6d4e6ba8baad4d168cd4e35016e181259238c19269c2ff80190bcf3d0eb3bbe","last_reissued_at":"2026-07-05T08:13:50.539279Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:13:50.539279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.03116","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":"2026-07-05T08:13:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wz54XO1u0Qzy5mVjyH+trEr+rbO12QLM7Tcc3IXoFwYh63bstCt1NiSW+zb1V1oFBb2R306fWUD+hi92NqUjCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T05:35:45.439414Z"},"content_sha256":"6402a7ecaab2d1ca6399dab3356140a0526e6bd13c0048290464211eae4969a8","schema_version":"1.0","event_id":"sha256:6402a7ecaab2d1ca6399dab3356140a0526e6bd13c0048290464211eae4969a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:43KONOULVLKNC2GNJY2QC3QYCJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Schauder estimates for equations with cone metrics, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Bin Guo, Jian Song","submitted_at":"2018-09-10T03:12:52Z","abstract_excerpt":"This is the continuation of our paper \\cite{GS}, to study the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background K\\\"ahler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical K\\\"ahler-Ricci flow with conical singularities along a divisor with simple normal crossings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03116","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1809.03116/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:13:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z9Gn9XXVzb0aNGq5zn3uKfjBrhnvWk9babNvXRq0LIGM00CTXBauC59weCLb9+sFAaQ/U6LpB3fiMX4WxsGoCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T05:35:45.440283Z"},"content_sha256":"c81b8e7b2cee815a3441e8423db97f0f13bef22ac4cda4e834457177fcda2616","schema_version":"1.0","event_id":"sha256:c81b8e7b2cee815a3441e8423db97f0f13bef22ac4cda4e834457177fcda2616"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/43KONOULVLKNC2GNJY2QC3QYCJ/bundle.json","state_url":"https://pith.science/pith/43KONOULVLKNC2GNJY2QC3QYCJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/43KONOULVLKNC2GNJY2QC3QYCJ/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":"2026-08-11T05:35:45Z","links":{"resolver":"https://pith.science/pith/43KONOULVLKNC2GNJY2QC3QYCJ","bundle":"https://pith.science/pith/43KONOULVLKNC2GNJY2QC3QYCJ/bundle.json","state":"https://pith.science/pith/43KONOULVLKNC2GNJY2QC3QYCJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/43KONOULVLKNC2GNJY2QC3QYCJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:43KONOULVLKNC2GNJY2QC3QYCJ","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":"5cce6ff6de4f356384d6eac221c3d76ae40ab1915ede686f5ac892b359394661","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-09-10T03:12:52Z","title_canon_sha256":"44ced81f6e6385b9286b5b1e50b0681fee4aefa9d17e4c81d9e6f3aa23d7c82d"},"schema_version":"1.0","source":{"id":"1809.03116","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.03116","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"arxiv_version","alias_value":"1809.03116v1","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.03116","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"pith_short_12","alias_value":"43KONOULVLKN","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"pith_short_16","alias_value":"43KONOULVLKNC2GN","created_at":"2026-07-05T08:13:50Z"},{"alias_kind":"pith_short_8","alias_value":"43KONOUL","created_at":"2026-07-05T08:13:50Z"}],"graph_snapshots":[{"event_id":"sha256:c81b8e7b2cee815a3441e8423db97f0f13bef22ac4cda4e834457177fcda2616","target":"graph","created_at":"2026-07-05T08:13:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1809.03116/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is the continuation of our paper \\cite{GS}, to study the linear theory for equations with conical singularities. We derive interior Schauder estimates for linear elliptic and parabolic equations with a background K\\\"ahler metric of conical singularities along a divisor of simple normal crossings. As an application, we prove the short-time existence of the conical K\\\"ahler-Ricci flow with conical singularities along a divisor with simple normal crossings.","authors_text":"Bin Guo, Jian Song","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-09-10T03:12:52Z","title":"Schauder estimates for equations with cone metrics, II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.03116","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":"sha256:6402a7ecaab2d1ca6399dab3356140a0526e6bd13c0048290464211eae4969a8","target":"record","created_at":"2026-07-05T08:13:50Z","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":"5cce6ff6de4f356384d6eac221c3d76ae40ab1915ede686f5ac892b359394661","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-09-10T03:12:52Z","title_canon_sha256":"44ced81f6e6385b9286b5b1e50b0681fee4aefa9d17e4c81d9e6f3aa23d7c82d"},"schema_version":"1.0","source":{"id":"1809.03116","kind":"arxiv","version":1}},"canonical_sha256":"e6d4e6ba8baad4d168cd4e35016e181259238c19269c2ff80190bcf3d0eb3bbe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e6d4e6ba8baad4d168cd4e35016e181259238c19269c2ff80190bcf3d0eb3bbe","first_computed_at":"2026-07-05T08:13:50.539279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:13:50.539279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vc1K1z3XAT43HX5Zi2+kT9qza1B3kT5tK579Bkxfl8iOLetuEQV3KxwFKA3XnJeUn3Exz+VYTiGMT/u14MirDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:13:50.539668Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.03116","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6402a7ecaab2d1ca6399dab3356140a0526e6bd13c0048290464211eae4969a8","sha256:c81b8e7b2cee815a3441e8423db97f0f13bef22ac4cda4e834457177fcda2616"],"state_sha256":"311a56863ee4da13635e598a4ab387866956688729c1cafbe0ba02292902dd6d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qs2sYeWazSmco4V+pXGnn3DlkZgty69uwUmAmF/+9nml4TGbv4jt78msDGXkwhSBf+3ne9+gV2ypVKZrVobmAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T05:35:45.445138Z","bundle_sha256":"d0324414935b017cfcd716e6e2f961acda248c5c787a7e526cac9dc0b23c7b21"}}