{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7K2UXORWTM7JZRORSFF43CNEGL","short_pith_number":"pith:7K2UXORW","canonical_record":{"source":{"id":"1708.01024","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-03T06:57:03Z","cross_cats_sorted":[],"title_canon_sha256":"5e33bb9e1260bad0651c4d84339d879a44e7ed8ce24bdcc1797ea039cdd19121","abstract_canon_sha256":"663be4c4423eb46fd8adf50f20f7f00fca4f185bbc1c10b9a5a0ad8202ec30d4"},"schema_version":"1.0"},"canonical_sha256":"fab54bba369b3e9cc5d1914bcd89a432e69d75eb8bfb8144c5bba1d1ad4de7f1","source":{"kind":"arxiv","id":"1708.01024","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01024","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01024v1","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01024","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"pith_short_12","alias_value":"7K2UXORWTM7J","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7K2UXORWTM7JZROR","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7K2UXORW","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7K2UXORWTM7JZRORSFF43CNEGL","target":"record","payload":{"canonical_record":{"source":{"id":"1708.01024","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-03T06:57:03Z","cross_cats_sorted":[],"title_canon_sha256":"5e33bb9e1260bad0651c4d84339d879a44e7ed8ce24bdcc1797ea039cdd19121","abstract_canon_sha256":"663be4c4423eb46fd8adf50f20f7f00fca4f185bbc1c10b9a5a0ad8202ec30d4"},"schema_version":"1.0"},"canonical_sha256":"fab54bba369b3e9cc5d1914bcd89a432e69d75eb8bfb8144c5bba1d1ad4de7f1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:38:40.799344Z","signature_b64":"G9b3qxuvDflLtuCKnS2S3br3/wGrNqdwMWfackC88FR6RQdspZppABk5XXw2QyFiIDJ/0wjpbKovEWrjLVjdCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fab54bba369b3e9cc5d1914bcd89a432e69d75eb8bfb8144c5bba1d1ad4de7f1","last_reissued_at":"2026-05-18T00:38:40.798872Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:38:40.798872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.01024","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":"2026-05-18T00:38:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OLOiwg8cutnRWvMTKFQ81PDEK9Ed4EgbS7vd7ADbDBzOuNq1TV3VP04JjlgQPip01sy+W07kP3+gahZDQ1kyBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:47:07.052598Z"},"content_sha256":"acf7289671c478689e313f9a0e6759436f5e8c1af7d50a52f0b2371c800df266","schema_version":"1.0","event_id":"sha256:acf7289671c478689e313f9a0e6759436f5e8c1af7d50a52f0b2371c800df266"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7K2UXORWTM7JZRORSFF43CNEGL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Expansions of solutions to extremal metric type equations on blow-ups of cscK surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ved V. Datar","submitted_at":"2017-08-03T06:57:03Z","abstract_excerpt":"The aim of this article is to study expansions of solutions to an extremal metric type equation on the blow-up of constant scalar curvature K\\\"ahler surfaces. This is related to finding constant scalar curvature K\\\"ahler (cscK) metrics on K-stable blow-ups of extremal K\\\"ahler surfaces"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01024","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":"2026-05-18T00:38:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Motf1mT99d9lvG/msb/8LgZp86fGZPB57wuU71gPPV6h92CspKCYUW4wsjhby0HoyhxS0dux8EFa4AuNrJYvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:47:07.053302Z"},"content_sha256":"6d1a57773670dcd20ac2c1e760952adcff0acda359fdb6fdbbca4f45738ef487","schema_version":"1.0","event_id":"sha256:6d1a57773670dcd20ac2c1e760952adcff0acda359fdb6fdbbca4f45738ef487"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7K2UXORWTM7JZRORSFF43CNEGL/bundle.json","state_url":"https://pith.science/pith/7K2UXORWTM7JZRORSFF43CNEGL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7K2UXORWTM7JZRORSFF43CNEGL/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":"2026-06-10T00:47:07Z","links":{"resolver":"https://pith.science/pith/7K2UXORWTM7JZRORSFF43CNEGL","bundle":"https://pith.science/pith/7K2UXORWTM7JZRORSFF43CNEGL/bundle.json","state":"https://pith.science/pith/7K2UXORWTM7JZRORSFF43CNEGL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7K2UXORWTM7JZRORSFF43CNEGL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7K2UXORWTM7JZRORSFF43CNEGL","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":"663be4c4423eb46fd8adf50f20f7f00fca4f185bbc1c10b9a5a0ad8202ec30d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-03T06:57:03Z","title_canon_sha256":"5e33bb9e1260bad0651c4d84339d879a44e7ed8ce24bdcc1797ea039cdd19121"},"schema_version":"1.0","source":{"id":"1708.01024","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.01024","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"arxiv_version","alias_value":"1708.01024v1","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01024","created_at":"2026-05-18T00:38:40Z"},{"alias_kind":"pith_short_12","alias_value":"7K2UXORWTM7J","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7K2UXORWTM7JZROR","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7K2UXORW","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:6d1a57773670dcd20ac2c1e760952adcff0acda359fdb6fdbbca4f45738ef487","target":"graph","created_at":"2026-05-18T00:38:40Z","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":"The aim of this article is to study expansions of solutions to an extremal metric type equation on the blow-up of constant scalar curvature K\\\"ahler surfaces. This is related to finding constant scalar curvature K\\\"ahler (cscK) metrics on K-stable blow-ups of extremal K\\\"ahler surfaces","authors_text":"Ved V. Datar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-03T06:57:03Z","title":"Expansions of solutions to extremal metric type equations on blow-ups of cscK surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01024","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:acf7289671c478689e313f9a0e6759436f5e8c1af7d50a52f0b2371c800df266","target":"record","created_at":"2026-05-18T00:38:40Z","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":"663be4c4423eb46fd8adf50f20f7f00fca4f185bbc1c10b9a5a0ad8202ec30d4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-08-03T06:57:03Z","title_canon_sha256":"5e33bb9e1260bad0651c4d84339d879a44e7ed8ce24bdcc1797ea039cdd19121"},"schema_version":"1.0","source":{"id":"1708.01024","kind":"arxiv","version":1}},"canonical_sha256":"fab54bba369b3e9cc5d1914bcd89a432e69d75eb8bfb8144c5bba1d1ad4de7f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fab54bba369b3e9cc5d1914bcd89a432e69d75eb8bfb8144c5bba1d1ad4de7f1","first_computed_at":"2026-05-18T00:38:40.798872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:38:40.798872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G9b3qxuvDflLtuCKnS2S3br3/wGrNqdwMWfackC88FR6RQdspZppABk5XXw2QyFiIDJ/0wjpbKovEWrjLVjdCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:38:40.799344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.01024","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:acf7289671c478689e313f9a0e6759436f5e8c1af7d50a52f0b2371c800df266","sha256:6d1a57773670dcd20ac2c1e760952adcff0acda359fdb6fdbbca4f45738ef487"],"state_sha256":"25631dfb6736b419d13a587cf19a1c64421f35f474a129c2f53b41cce6caf2b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oKs1ll9TEKfShpai/TbsGwt6y+9/m5r8zd/hzWS07sLW/+GXQoN6HK02LVTLS1Es9Q0Z7fhqRllVV7eTI5zlAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T00:47:07.057476Z","bundle_sha256":"8dce60fe5a53656c5ed8848587dc9161486d56e2539c922e03855f3d726bfccd"}}