{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:OCORNYWEALPBRH546Q3Q2DT7E5","short_pith_number":"pith:OCORNYWE","canonical_record":{"source":{"id":"1506.02858","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-09T10:48:34Z","cross_cats_sorted":[],"title_canon_sha256":"e214b15b87b310b6cb382db50d58fd80d89f1dda8bcc9a49ae8812418c68bbe2","abstract_canon_sha256":"9d16b6c14e316a8370cdddfd5424bfa4dc1caa4f5296113ba1451b1e7d127e10"},"schema_version":"1.0"},"canonical_sha256":"709d16e2c402de189fbcf4370d0e7f276751a15fc4feaf068dcce3325c3420a0","source":{"kind":"arxiv","id":"1506.02858","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02858","created_at":"2026-05-18T01:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02858v3","created_at":"2026-05-18T01:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02858","created_at":"2026-05-18T01:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"OCORNYWEALPB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OCORNYWEALPBRH54","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OCORNYWE","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:OCORNYWEALPBRH546Q3Q2DT7E5","target":"record","payload":{"canonical_record":{"source":{"id":"1506.02858","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-09T10:48:34Z","cross_cats_sorted":[],"title_canon_sha256":"e214b15b87b310b6cb382db50d58fd80d89f1dda8bcc9a49ae8812418c68bbe2","abstract_canon_sha256":"9d16b6c14e316a8370cdddfd5424bfa4dc1caa4f5296113ba1451b1e7d127e10"},"schema_version":"1.0"},"canonical_sha256":"709d16e2c402de189fbcf4370d0e7f276751a15fc4feaf068dcce3325c3420a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:48.808647Z","signature_b64":"YyBTu/+1R2DXPdaZaQfLmlLtKpSoGQp18WokxG03jobu+AyEgVCDfdEh5BJOH+lCnyh51AzgVWElWsxtO3+5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"709d16e2c402de189fbcf4370d0e7f276751a15fc4feaf068dcce3325c3420a0","last_reissued_at":"2026-05-18T01:30:48.807949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:48.807949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.02858","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:30:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8qU24prgAxo/X9GzpGlPiST2WZK1OFRltwEFjQShU/g/MaEHlk+lZp/bJLp7eMX+O2Vkajzj8rTbUEI31/6tCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:36:22.781057Z"},"content_sha256":"4407bf71464f519895741ca693d00bc3a49be1d58ad78df9af03f1b25e8bb988","schema_version":"1.0","event_id":"sha256:4407bf71464f519895741ca693d00bc3a49be1d58ad78df9af03f1b25e8bb988"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:OCORNYWEALPBRH546Q3Q2DT7E5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Buchdahl type inequalities in $d$-dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Matthew Wright","submitted_at":"2015-06-09T10:48:34Z","abstract_excerpt":"Spherically symmetric anisotropic static compact solutions to the Einstein equations in dimension $d\\geq4$ are considered. Various matter models are examined and upper bounds on the ratio of the gravitational mass to the radius in these different models are obtained. Bounds are also generalised in the presence of a non-zero charge and a positive cosmological constant. These bounds are then used to find the maximum of the gravitational redshift at the surface of the object."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02858","kind":"arxiv","version":3},"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":"2026-05-18T01:30:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hxgKdDkAAxm0mqPCWYPXOFGJ0Hx52e1lnD3KzWFKRKCvXW9Nv7NADWccUxa13uQo+8NCMfY+sOyDF2cQNQc2CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T01:36:22.781519Z"},"content_sha256":"7113eea175ca5ee6cdfdba865c98b51a05f67742b1fffcd4bc544861788967dd","schema_version":"1.0","event_id":"sha256:7113eea175ca5ee6cdfdba865c98b51a05f67742b1fffcd4bc544861788967dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OCORNYWEALPBRH546Q3Q2DT7E5/bundle.json","state_url":"https://pith.science/pith/OCORNYWEALPBRH546Q3Q2DT7E5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OCORNYWEALPBRH546Q3Q2DT7E5/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":"2026-08-18T01:36:22Z","links":{"resolver":"https://pith.science/pith/OCORNYWEALPBRH546Q3Q2DT7E5","bundle":"https://pith.science/pith/OCORNYWEALPBRH546Q3Q2DT7E5/bundle.json","state":"https://pith.science/pith/OCORNYWEALPBRH546Q3Q2DT7E5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OCORNYWEALPBRH546Q3Q2DT7E5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:OCORNYWEALPBRH546Q3Q2DT7E5","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":"9d16b6c14e316a8370cdddfd5424bfa4dc1caa4f5296113ba1451b1e7d127e10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-09T10:48:34Z","title_canon_sha256":"e214b15b87b310b6cb382db50d58fd80d89f1dda8bcc9a49ae8812418c68bbe2"},"schema_version":"1.0","source":{"id":"1506.02858","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.02858","created_at":"2026-05-18T01:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"1506.02858v3","created_at":"2026-05-18T01:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.02858","created_at":"2026-05-18T01:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"OCORNYWEALPB","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"OCORNYWEALPBRH54","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"OCORNYWE","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:7113eea175ca5ee6cdfdba865c98b51a05f67742b1fffcd4bc544861788967dd","target":"graph","created_at":"2026-05-18T01:30:48Z","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":"Spherically symmetric anisotropic static compact solutions to the Einstein equations in dimension $d\\geq4$ are considered. Various matter models are examined and upper bounds on the ratio of the gravitational mass to the radius in these different models are obtained. Bounds are also generalised in the presence of a non-zero charge and a positive cosmological constant. These bounds are then used to find the maximum of the gravitational redshift at the surface of the object.","authors_text":"Matthew Wright","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-09T10:48:34Z","title":"Buchdahl type inequalities in $d$-dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02858","kind":"arxiv","version":3},"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":"sha256:4407bf71464f519895741ca693d00bc3a49be1d58ad78df9af03f1b25e8bb988","target":"record","created_at":"2026-05-18T01:30:48Z","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":"9d16b6c14e316a8370cdddfd5424bfa4dc1caa4f5296113ba1451b1e7d127e10","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-06-09T10:48:34Z","title_canon_sha256":"e214b15b87b310b6cb382db50d58fd80d89f1dda8bcc9a49ae8812418c68bbe2"},"schema_version":"1.0","source":{"id":"1506.02858","kind":"arxiv","version":3}},"canonical_sha256":"709d16e2c402de189fbcf4370d0e7f276751a15fc4feaf068dcce3325c3420a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"709d16e2c402de189fbcf4370d0e7f276751a15fc4feaf068dcce3325c3420a0","first_computed_at":"2026-05-18T01:30:48.807949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:48.807949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YyBTu/+1R2DXPdaZaQfLmlLtKpSoGQp18WokxG03jobu+AyEgVCDfdEh5BJOH+lCnyh51AzgVWElWsxtO3+5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:48.808647Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.02858","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4407bf71464f519895741ca693d00bc3a49be1d58ad78df9af03f1b25e8bb988","sha256:7113eea175ca5ee6cdfdba865c98b51a05f67742b1fffcd4bc544861788967dd"],"state_sha256":"a59e88863499e75252920abe3d8d221553a5b009d6c58e3c6549b60c682a12f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQv2HiX8MBZ2XwB+TyiaXlNlWFqXzbrzNuIkVs6K8agdqRj3Pe246YNbXbng6KlOc+rSXFfNPIjstzwDjvfUCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T01:36:22.786051Z","bundle_sha256":"0d7ca14be994cfec56dadfefd68158a2bb49bae99ed0937b0693addd4cf03c94"}}