{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:COES3MEFAA4QTBCKZHLKQZAKN6","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":"d4094c8da7152915c35495251e888812be4ef5e36af7071a0e78b7fce6658292","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-01-07T15:32:30Z","title_canon_sha256":"5abe143ee2a7daea49bc4633d47931f064e3cf4cdcfddbbc1b13830c0e200142"},"schema_version":"1.0","source":{"id":"2101.02589","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.02589","created_at":"2026-07-05T06:51:15Z"},{"alias_kind":"arxiv_version","alias_value":"2101.02589v1","created_at":"2026-07-05T06:51:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.02589","created_at":"2026-07-05T06:51:15Z"},{"alias_kind":"pith_short_12","alias_value":"COES3MEFAA4Q","created_at":"2026-07-05T06:51:15Z"},{"alias_kind":"pith_short_16","alias_value":"COES3MEFAA4QTBCK","created_at":"2026-07-05T06:51:15Z"},{"alias_kind":"pith_short_8","alias_value":"COES3MEF","created_at":"2026-07-05T06:51:15Z"}],"graph_snapshots":[{"event_id":"sha256:47de16dedad047b9a85f81824e82204a8b0d5c20b828b916a2c5f7e16d34183b","target":"graph","created_at":"2026-07-05T06:51:15Z","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/2101.02589/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We obtain sharp inequalities between the large scale asymptotic of the $J$ functional with respect to the $d_1$ metric on the space of Kahler metrics. Applications regarding the initial value problem for geodesic rays are presented.","authors_text":"Erin George, Kevin Smith, Tam\\'as Darvas","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-01-07T15:32:30Z","title":"Optimal asymptotic of the $J$ functional with respect to the $d_1$ metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.02589","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":"sha256:726076cbf831c06748315f62781b6ec6afb1c96362a7badec0deb8464938233f","target":"record","created_at":"2026-07-05T06:51:15Z","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":"d4094c8da7152915c35495251e888812be4ef5e36af7071a0e78b7fce6658292","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2021-01-07T15:32:30Z","title_canon_sha256":"5abe143ee2a7daea49bc4633d47931f064e3cf4cdcfddbbc1b13830c0e200142"},"schema_version":"1.0","source":{"id":"2101.02589","kind":"arxiv","version":1}},"canonical_sha256":"13892db085003909844ac9d6a8640a6f95b159f761228c3490b5b8b38baf9df8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"13892db085003909844ac9d6a8640a6f95b159f761228c3490b5b8b38baf9df8","first_computed_at":"2026-07-05T06:51:15.997160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:51:15.997160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mBFjbz5OxBy36z6NgfW3hixQLBrpVjmWmEm5Tv+CaAPIxXWBAgnLp86kYEXvMSNHX7gq1CSjpIk0nfo2exk4Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:51:15.997667Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.02589","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:726076cbf831c06748315f62781b6ec6afb1c96362a7badec0deb8464938233f","sha256:47de16dedad047b9a85f81824e82204a8b0d5c20b828b916a2c5f7e16d34183b"],"state_sha256":"5c4d55000b0f6bd96d7356c5e63124292a812860b6e5f59537ff5567795e0601"}