{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CV57TMVUIGWLIMDRU3AFTDLJNW","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":"ef7de6975c5b2454915773434c41e07a01284cfb18992499e2cc97138a84e10d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-31T03:25:10Z","title_canon_sha256":"56185616610dd778250970db5209969767645ddd876963ef29327a94ef1b6ea0"},"schema_version":"1.0","source":{"id":"1711.00360","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.00360","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"arxiv_version","alias_value":"1711.00360v2","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.00360","created_at":"2026-05-18T00:28:34Z"},{"alias_kind":"pith_short_12","alias_value":"CV57TMVUIGWL","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CV57TMVUIGWLIMDR","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CV57TMVU","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:3958d28d97ff64edfb0631d0cc2bca32a421d60c59aabe4537b724a8f9d2011e","target":"graph","created_at":"2026-05-18T00:28:34Z","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":"$\\tilde{\\delta}$ Gravity is a gravitational field model, where the geometry is governed by two symmetric tensors, $g_{\\mu \\nu}$ and $\\tilde{g}_{\\mu \\nu}$, and new matter fields ($\\tilde{\\delta}$ Matter fields) are added to the original matter fields. These new components appear motivated by a new symmetry, called $\\tilde{\\delta}$ symmetry. In previous works, the model is used to explain the expansion of the Universe without Dark Energy and use $\\tilde{\\delta}$ Matter as a source of Dark Matter. In this paper, we will developed an initial study of Schwarzschild geometry in $\\tilde{\\delta}$ Grav","authors_text":"Jorge Alfaro, Pablo Gonz\\'alez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-31T03:25:10Z","title":"$\\tilde{\\delta}$ Gravity and Schwarzschild Solution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.00360","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:ccd922ad45652398064561ea1de46b73850da8af625a951a9a735e2e51b87990","target":"record","created_at":"2026-05-18T00:28:34Z","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":"ef7de6975c5b2454915773434c41e07a01284cfb18992499e2cc97138a84e10d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-10-31T03:25:10Z","title_canon_sha256":"56185616610dd778250970db5209969767645ddd876963ef29327a94ef1b6ea0"},"schema_version":"1.0","source":{"id":"1711.00360","kind":"arxiv","version":2}},"canonical_sha256":"157bf9b2b441acb43071a6c0598d696dbc5eac91403665efbe1fae9b15cfa90a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"157bf9b2b441acb43071a6c0598d696dbc5eac91403665efbe1fae9b15cfa90a","first_computed_at":"2026-05-18T00:28:34.779038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:28:34.779038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9gC4JIOyIJvurb4VUgDFaM9aJkJr2Yfvj9hm9Ga8NUXL9x2+2Q+HzOm2uqA/8DIqWDFzh/sw7/e/4joYjQCoBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:28:34.779774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.00360","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccd922ad45652398064561ea1de46b73850da8af625a951a9a735e2e51b87990","sha256:3958d28d97ff64edfb0631d0cc2bca32a421d60c59aabe4537b724a8f9d2011e"],"state_sha256":"0febf75348affb1e50d9def322473482cf6c83a1c67e2e89181daa696097a070"}