{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZAHIA7N77BK7PXOP4JGMQFV7XI","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":"57182837bcadf239c14a8a8ac01ba6531de6c6e49c80956ff3fe5cebb403a589","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-01T21:51:08Z","title_canon_sha256":"5971b0568bc1c441754087f87c0244adcccfae234356c3afe544f7b6d2f86ca8"},"schema_version":"1.0","source":{"id":"1111.0327","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.0327","created_at":"2026-05-18T04:00:13Z"},{"alias_kind":"arxiv_version","alias_value":"1111.0327v2","created_at":"2026-05-18T04:00:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0327","created_at":"2026-05-18T04:00:13Z"},{"alias_kind":"pith_short_12","alias_value":"ZAHIA7N77BK7","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZAHIA7N77BK7PXOP","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZAHIA7N7","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:ae41b7afc4cbff36f9633b15eae47fc0326cd5e9461efb482c1ab101a85051d6","target":"graph","created_at":"2026-05-18T04:00:13Z","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":"Motivated by studies on gravitational lenses, we present an exact solution of the field equations of general relativity, which is static and spherically symmetric, has no mass but has a non-vanishing spacelike components of the stress-energy-momentum tensor. In spite of its strange nature, this solution provides with non-trivial descriptions of gravitational effects. We show that the main aspects found in the \\emph{dark matter phenomena} can be satisfactorily described by this geometry. We comment on the relevance it could have to consider non-vanishing spacelike components of the stress-energ","authors_text":"Emanuel Gallo, Osvaldo Moreschi","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-01T21:51:08Z","title":"Peculiar anisotropic stationary spherically symmetric solution of Einstein equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0327","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":"sha256:9ad49cd31ec22b2a38ac35c6314597a400e8c279c62e57dabe95896fcff7d159","target":"record","created_at":"2026-05-18T04:00:13Z","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":"57182837bcadf239c14a8a8ac01ba6531de6c6e49c80956ff3fe5cebb403a589","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2011-11-01T21:51:08Z","title_canon_sha256":"5971b0568bc1c441754087f87c0244adcccfae234356c3afe544f7b6d2f86ca8"},"schema_version":"1.0","source":{"id":"1111.0327","kind":"arxiv","version":2}},"canonical_sha256":"c80e807dbff855f7ddcfe24cc816bfba2d7182d47f07df87cbdcf62e7becca74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c80e807dbff855f7ddcfe24cc816bfba2d7182d47f07df87cbdcf62e7becca74","first_computed_at":"2026-05-18T04:00:13.406067Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:13.406067Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g44K04C90mBmkiee/A64bSU2rEsrRteEVJ3EZOeHHMS5QHxV05ql65+2BZJrYZ7I5+JItPGooXD4C/2emiDOBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:13.406993Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.0327","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9ad49cd31ec22b2a38ac35c6314597a400e8c279c62e57dabe95896fcff7d159","sha256:ae41b7afc4cbff36f9633b15eae47fc0326cd5e9461efb482c1ab101a85051d6"],"state_sha256":"8f351ce2daf7e389788294fd2353c0f1dccd04af010655bf41e2601f8da49b25"}