{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:DS5K2ESQO55QPVGR5UEX6LT3LL","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":"695a91294be67876c4d60117877ea924e9be6425a1f02e0420db93f5248e4a33","cross_cats_sorted":["gr-qc","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-01T16:28:41Z","title_canon_sha256":"9320235d9a3572f20c6c32b390350b7bbd2a69b51be7ea2c87cf11137c7329e3"},"schema_version":"1.0","source":{"id":"2007.00593","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.00593","created_at":"2026-07-05T04:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"2007.00593v2","created_at":"2026-07-05T04:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.00593","created_at":"2026-07-05T04:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"DS5K2ESQO55Q","created_at":"2026-07-05T04:01:20Z"},{"alias_kind":"pith_short_16","alias_value":"DS5K2ESQO55QPVGR","created_at":"2026-07-05T04:01:20Z"},{"alias_kind":"pith_short_8","alias_value":"DS5K2ESQ","created_at":"2026-07-05T04:01:20Z"}],"graph_snapshots":[{"event_id":"sha256:f1869319bd88f77a17b130c434462a9983468a6d5eaf1ba45fb5018c3db301b6","target":"graph","created_at":"2026-07-05T04:01:20Z","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/2007.00593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the concept of improvability of the dominant energy scalar, and we derive strong consequences of non-improvability. In particular, we prove that a non-improvable initial data set without local symmetries must sit inside a null perfect fluid spacetime carrying a global Killing vector field. We also show that the dominant energy scalar is always almost improvable in a precise sense. Using these main results, we provide a characterization of Bartnik mass minimizing initial data sets which makes substantial progress toward Bartnik's stationary conjecture.\n  Along the way we observe th","authors_text":"Dan A. Lee, Lan-Hsuan Huang","cross_cats":["gr-qc","math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-01T16:28:41Z","title":"Bartnik mass minimizing initial data sets and improvability of the dominant energy scalar"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.00593","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":"sha256:3ef81fc6abda1f22c43c6da51ba7bf87656c5b9f5aaa2dd85c7d8aabcda8af88","target":"record","created_at":"2026-07-05T04:01:20Z","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":"695a91294be67876c4d60117877ea924e9be6425a1f02e0420db93f5248e4a33","cross_cats_sorted":["gr-qc","math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2020-07-01T16:28:41Z","title_canon_sha256":"9320235d9a3572f20c6c32b390350b7bbd2a69b51be7ea2c87cf11137c7329e3"},"schema_version":"1.0","source":{"id":"2007.00593","kind":"arxiv","version":2}},"canonical_sha256":"1cbaad1250777b07d4d1ed097f2e7b5afe409a88eac461321df29743a243aef0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cbaad1250777b07d4d1ed097f2e7b5afe409a88eac461321df29743a243aef0","first_computed_at":"2026-07-05T04:01:20.670464Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:01:20.670464Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"05ok0jE8aDBu6FbMvcodz/pd5qZAFmaleENF1rh7wuWXCedkQiV/UutlDzpF+hF7qAmvY50WbdCI6i3bSYxUAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:01:20.670891Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.00593","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ef81fc6abda1f22c43c6da51ba7bf87656c5b9f5aaa2dd85c7d8aabcda8af88","sha256:f1869319bd88f77a17b130c434462a9983468a6d5eaf1ba45fb5018c3db301b6"],"state_sha256":"bbf142810d27236d2f2588b280a2ed60e4c6063e91e81daff9bf1cd655940757"}