{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YPTYKISNPR4DRFP2MC57ZYWMTV","short_pith_number":"pith:YPTYKISN","canonical_record":{"source":{"id":"1411.0609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-11-03T19:06:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"84e72a2c2c72f0389158fc28d016e19a09760e5df1d3d7aec2a405a84381e092","abstract_canon_sha256":"486073d982bf5e66fdafdaa75769046c7c870397a255cd7af7eda8cda4af3dff"},"schema_version":"1.0"},"canonical_sha256":"c3e785224d7c783895fa60bbfce2cc9d7d2e9890dfe3979cf780ba4e32d183b0","source":{"kind":"arxiv","id":"1411.0609","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YPTYKISNPR4DRFP2MC57ZYWMTV","target":"record","payload":{"canonical_record":{"source":{"id":"1411.0609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-11-03T19:06:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"84e72a2c2c72f0389158fc28d016e19a09760e5df1d3d7aec2a405a84381e092","abstract_canon_sha256":"486073d982bf5e66fdafdaa75769046c7c870397a255cd7af7eda8cda4af3dff"},"schema_version":"1.0"},"canonical_sha256":"c3e785224d7c783895fa60bbfce2cc9d7d2e9890dfe3979cf780ba4e32d183b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:27.140095Z","signature_b64":"3oWcgAfCbWV7fkmFkO16xkyhTx8JppjEpcGoY3XvjrFTEfi2kQ/nbR03JSEW7/K3keFr4ogT/lUXsR1fls3GDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3e785224d7c783895fa60bbfce2cc9d7d2e9890dfe3979cf780ba4e32d183b0","last_reissued_at":"2026-05-18T01:58:27.139629Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:27.139629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.0609","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:58:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+f9m7URukYTJbCbiZqFAn6LmAcj7Q/YIkWtDbbfwv8+awRkshWLmLlIohF3s1IqozuP03GbZxYnFtZoV/2R/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:24:34.135520Z"},"content_sha256":"a9c4b0a0130746bc57e8126bbeb8c786bdcf709fc13bdddf6c8d8281af8e3a3d","schema_version":"1.0","event_id":"sha256:a9c4b0a0130746bc57e8126bbeb8c786bdcf709fc13bdddf6c8d8281af8e3a3d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YPTYKISNPR4DRFP2MC57ZYWMTV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a mass functional for initial data in 4+1 dimensional spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Aghil Alaee, Hari K. Kunduri","submitted_at":"2014-11-03T19:06:45Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0609","kind":"arxiv","version":2},"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":"2026-05-18T01:58:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BnZT0FR+FcZ1vanJvtm/qOT2KDPIIOFb7tG2Cw1uLD5CaP15LB6wWK4mvuwRnbrcu7kH8SvxZEqYi+rUE+TfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T22:24:34.136160Z"},"content_sha256":"891393cf4360613d89de255af2fdcbb4081d95df7e04f6571d31bd7c195c2fb2","schema_version":"1.0","event_id":"sha256:891393cf4360613d89de255af2fdcbb4081d95df7e04f6571d31bd7c195c2fb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YPTYKISNPR4DRFP2MC57ZYWMTV/bundle.json","state_url":"https://pith.science/pith/YPTYKISNPR4DRFP2MC57ZYWMTV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YPTYKISNPR4DRFP2MC57ZYWMTV/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":"2026-05-30T22:24:34Z","links":{"resolver":"https://pith.science/pith/YPTYKISNPR4DRFP2MC57ZYWMTV","bundle":"https://pith.science/pith/YPTYKISNPR4DRFP2MC57ZYWMTV/bundle.json","state":"https://pith.science/pith/YPTYKISNPR4DRFP2MC57ZYWMTV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YPTYKISNPR4DRFP2MC57ZYWMTV/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w35sGhAQa3YyfzfH3BgyDrfYLpbFEmDjaBr0/57zOQj4N60wf03WX004WBy/7yY4WLO8TpZnkAelqS/1vTH+BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T22:24:34.138939Z","bundle_sha256":"4f28d43afce5f1ab14e1304abb3cf8f2dde03d6860e639b99969c1ebdeb7293a"}}