{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:KO6KFFIKGWXPO7ITGTBOHEDMHN","short_pith_number":"pith:KO6KFFIK","canonical_record":{"source":{"id":"gr-qc/0110083","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-10-18T19:45:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7410586f7b5d8fc1d7b4e15bc0b1c34a3a4efc65261d85eb90d88c514efade79","abstract_canon_sha256":"06b2cfbc97957d6d65ee5b806e34eaeaf52c3798136552d12923b9ae5f5f58b9"},"schema_version":"1.0"},"canonical_sha256":"53bca2950a35aef77d1334c2e3906c3b63c5a3e23850770f9464b1f33acb357d","source":{"kind":"arxiv","id":"gr-qc/0110083","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0110083","created_at":"2026-05-18T02:37:35Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0110083v2","created_at":"2026-05-18T02:37:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0110083","created_at":"2026-05-18T02:37:35Z"},{"alias_kind":"pith_short_12","alias_value":"KO6KFFIKGWXP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"KO6KFFIKGWXPO7IT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"KO6KFFIK","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:KO6KFFIKGWXPO7ITGTBOHEDMHN","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0110083","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2001-10-18T19:45:35Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"7410586f7b5d8fc1d7b4e15bc0b1c34a3a4efc65261d85eb90d88c514efade79","abstract_canon_sha256":"06b2cfbc97957d6d65ee5b806e34eaeaf52c3798136552d12923b9ae5f5f58b9"},"schema_version":"1.0"},"canonical_sha256":"53bca2950a35aef77d1334c2e3906c3b63c5a3e23850770f9464b1f33acb357d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:35.792345Z","signature_b64":"5W1y6vJq0wfj7Mgr/Xy9BS4G5A8Wf8tJplJuq5hB4WYZIcevT8XNAxNN1TXOhgOZWb7Ec1J1NEtfjibvCCQzDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53bca2950a35aef77d1334c2e3906c3b63c5a3e23850770f9464b1f33acb357d","last_reissued_at":"2026-05-18T02:37:35.791803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:35.791803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0110083","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":"2026-05-18T02:37:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2tDLFr0sTbIxZNjUMb0Kbj8pAKUrf8jWqEQkK1UV08MZDSBY7Rz3Os0JenFLb5lFtCuqnnGWeQ37aDhKzwUfAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:53:39.301364Z"},"content_sha256":"f035c5ff35e753c7d6cdb0e8d9428fec57709678c40a7b34e3ebfe53c320d37b","schema_version":"1.0","event_id":"sha256:f035c5ff35e753c7d6cdb0e8d9428fec57709678c40a7b34e3ebfe53c320d37b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:KO6KFFIKGWXPO7ITGTBOHEDMHN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spherical Gravitating Systems of Arbitrary Dimension","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"A. Das, A. DeBenedictis","submitted_at":"2001-10-18T19:45:35Z","abstract_excerpt":"We study spherically symmetric solutions to the Einstein field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. The general solution of Synge is extended to describe systems of any dimension. Arbitrary dimension analogues of known four dimensional solutions are also presented, derived using the above scheme. Finally, we discuss the requirements for the existence of Birkhoff's theorems in space-times of arbitrary dimension with or without matter fields present. Cases are discussed where the assumptions of the theorem are considerably weak"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0110083","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":"2026-05-18T02:37:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hwpjejhClMHYl65MLRHw9/p3W42ut17BEnAwccJswU+CH4D4vbSDsqnj3sMIePSKJKrst2R7cmjOutLMhFJTCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T10:53:39.301756Z"},"content_sha256":"5ea493e3e2890fb0fbaf1e63216f6c0524f6f0fcb5e548e7784971fb42fc77fc","schema_version":"1.0","event_id":"sha256:5ea493e3e2890fb0fbaf1e63216f6c0524f6f0fcb5e548e7784971fb42fc77fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KO6KFFIKGWXPO7ITGTBOHEDMHN/bundle.json","state_url":"https://pith.science/pith/KO6KFFIKGWXPO7ITGTBOHEDMHN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KO6KFFIKGWXPO7ITGTBOHEDMHN/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":"2026-05-28T10:53:39Z","links":{"resolver":"https://pith.science/pith/KO6KFFIKGWXPO7ITGTBOHEDMHN","bundle":"https://pith.science/pith/KO6KFFIKGWXPO7ITGTBOHEDMHN/bundle.json","state":"https://pith.science/pith/KO6KFFIKGWXPO7ITGTBOHEDMHN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KO6KFFIKGWXPO7ITGTBOHEDMHN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:KO6KFFIKGWXPO7ITGTBOHEDMHN","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":"06b2cfbc97957d6d65ee5b806e34eaeaf52c3798136552d12923b9ae5f5f58b9","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2001-10-18T19:45:35Z","title_canon_sha256":"7410586f7b5d8fc1d7b4e15bc0b1c34a3a4efc65261d85eb90d88c514efade79"},"schema_version":"1.0","source":{"id":"gr-qc/0110083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0110083","created_at":"2026-05-18T02:37:35Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0110083v2","created_at":"2026-05-18T02:37:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0110083","created_at":"2026-05-18T02:37:35Z"},{"alias_kind":"pith_short_12","alias_value":"KO6KFFIKGWXP","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"KO6KFFIKGWXPO7IT","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"KO6KFFIK","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:5ea493e3e2890fb0fbaf1e63216f6c0524f6f0fcb5e548e7784971fb42fc77fc","target":"graph","created_at":"2026-05-18T02:37:35Z","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 study spherically symmetric solutions to the Einstein field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. The general solution of Synge is extended to describe systems of any dimension. Arbitrary dimension analogues of known four dimensional solutions are also presented, derived using the above scheme. Finally, we discuss the requirements for the existence of Birkhoff's theorems in space-times of arbitrary dimension with or without matter fields present. Cases are discussed where the assumptions of the theorem are considerably weak","authors_text":"A. Das, A. DeBenedictis","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2001-10-18T19:45:35Z","title":"Spherical Gravitating Systems of Arbitrary Dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0110083","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:f035c5ff35e753c7d6cdb0e8d9428fec57709678c40a7b34e3ebfe53c320d37b","target":"record","created_at":"2026-05-18T02:37:35Z","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":"06b2cfbc97957d6d65ee5b806e34eaeaf52c3798136552d12923b9ae5f5f58b9","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2001-10-18T19:45:35Z","title_canon_sha256":"7410586f7b5d8fc1d7b4e15bc0b1c34a3a4efc65261d85eb90d88c514efade79"},"schema_version":"1.0","source":{"id":"gr-qc/0110083","kind":"arxiv","version":2}},"canonical_sha256":"53bca2950a35aef77d1334c2e3906c3b63c5a3e23850770f9464b1f33acb357d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53bca2950a35aef77d1334c2e3906c3b63c5a3e23850770f9464b1f33acb357d","first_computed_at":"2026-05-18T02:37:35.791803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:35.791803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5W1y6vJq0wfj7Mgr/Xy9BS4G5A8Wf8tJplJuq5hB4WYZIcevT8XNAxNN1TXOhgOZWb7Ec1J1NEtfjibvCCQzDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:35.792345Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0110083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f035c5ff35e753c7d6cdb0e8d9428fec57709678c40a7b34e3ebfe53c320d37b","sha256:5ea493e3e2890fb0fbaf1e63216f6c0524f6f0fcb5e548e7784971fb42fc77fc"],"state_sha256":"35a074fa325d735f28c0e5e21f642659a25345ad07cfa0725e3ad915b900381d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/gztjPJUX+Ekk0PFbGhA2NpaW/LFB5HCmg2x9cIHXzC1LtTD09drCGgL2g34lscNDlgpm7x73A+HES2Ob7zZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T10:53:39.303645Z","bundle_sha256":"ff6bac31a53dec7c1ee95901464139b6a93f53ffd08d3dfe6dfb8c77aa8d3812"}}