{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YPTYKISNPR4DRFP2MC57ZYWMTV","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":"486073d982bf5e66fdafdaa75769046c7c870397a255cd7af7eda8cda4af3dff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-11-03T19:06:45Z","title_canon_sha256":"84e72a2c2c72f0389158fc28d016e19a09760e5df1d3d7aec2a405a84381e092"},"schema_version":"1.0","source":{"id":"1411.0609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0609","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0609v2","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0609","created_at":"2026-05-18T01:58:27Z"},{"alias_kind":"pith_short_12","alias_value":"YPTYKISNPR4D","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YPTYKISNPR4DRFP2","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YPTYKISN","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:891393cf4360613d89de255af2fdcbb4081d95df7e04f6571d31bd7c195c2fb2","target":"graph","created_at":"2026-05-18T01:58:27Z","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":"We consider a broad class of asymptotically flat, maximal initial data sets satisfying the vacuum constraint equations, admitting two commuting rotational symmetries. We construct a mass functional for `$t-\\phi^i$' symmetric data which evaluates to the ADM mass. We then show that $\\mathbb{R} \\times U(1)^2$-invariant solutions of the vacuum Einstein equations are critical points of this functional amongst this class of data. We demonstrate positivity of this functional for a class of rod structures which include the Myers-Perry initial data. The construction is a natural extension of Dain's mas","authors_text":"Aghil Alaee, Hari K. Kunduri","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-11-03T19:06:45Z","title":"On a mass functional for initial data in 4+1 dimensional spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0609","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:a9c4b0a0130746bc57e8126bbeb8c786bdcf709fc13bdddf6c8d8281af8e3a3d","target":"record","created_at":"2026-05-18T01:58:27Z","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":"486073d982bf5e66fdafdaa75769046c7c870397a255cd7af7eda8cda4af3dff","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-11-03T19:06:45Z","title_canon_sha256":"84e72a2c2c72f0389158fc28d016e19a09760e5df1d3d7aec2a405a84381e092"},"schema_version":"1.0","source":{"id":"1411.0609","kind":"arxiv","version":2}},"canonical_sha256":"c3e785224d7c783895fa60bbfce2cc9d7d2e9890dfe3979cf780ba4e32d183b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3e785224d7c783895fa60bbfce2cc9d7d2e9890dfe3979cf780ba4e32d183b0","first_computed_at":"2026-05-18T01:58:27.139629Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:27.139629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3oWcgAfCbWV7fkmFkO16xkyhTx8JppjEpcGoY3XvjrFTEfi2kQ/nbR03JSEW7/K3keFr4ogT/lUXsR1fls3GDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:27.140095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9c4b0a0130746bc57e8126bbeb8c786bdcf709fc13bdddf6c8d8281af8e3a3d","sha256:891393cf4360613d89de255af2fdcbb4081d95df7e04f6571d31bd7c195c2fb2"],"state_sha256":"f3568f78ea480677c3d1ef8c79cc30f156bad28d8c94793463b10f690d884596"}