{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:RWRRIVIWKJL7D6AKT7XFGE7AVD","short_pith_number":"pith:RWRRIVIW","canonical_record":{"source":{"id":"1111.1166","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-11-04T15:59:41Z","cross_cats_sorted":[],"title_canon_sha256":"3f69f730354af18e1b46995dc0ce102bf7c8ba08606ff7aa75274997a878dc65","abstract_canon_sha256":"6615ae4203b0f19b994999359714b43217a002205bdc19c7cc00a89ce95bd1a3"},"schema_version":"1.0"},"canonical_sha256":"8da31455165257f1f80a9fee5313e0a8f8cdd8879109d3810d940c906128f66e","source":{"kind":"arxiv","id":"1111.1166","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1166","created_at":"2026-05-18T03:54:04Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1166v3","created_at":"2026-05-18T03:54:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1166","created_at":"2026-05-18T03:54:04Z"},{"alias_kind":"pith_short_12","alias_value":"RWRRIVIWKJL7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RWRRIVIWKJL7D6AK","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RWRRIVIW","created_at":"2026-05-18T12:26:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:RWRRIVIWKJL7D6AKT7XFGE7AVD","target":"record","payload":{"canonical_record":{"source":{"id":"1111.1166","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-11-04T15:59:41Z","cross_cats_sorted":[],"title_canon_sha256":"3f69f730354af18e1b46995dc0ce102bf7c8ba08606ff7aa75274997a878dc65","abstract_canon_sha256":"6615ae4203b0f19b994999359714b43217a002205bdc19c7cc00a89ce95bd1a3"},"schema_version":"1.0"},"canonical_sha256":"8da31455165257f1f80a9fee5313e0a8f8cdd8879109d3810d940c906128f66e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:54:04.354860Z","signature_b64":"aDJK+pAHP+Zh21l26NR7aHrc/OA77H3tWm+hGRyFjKVcDgb2Z1pKpyw98Gv3U3Z5LjjKdHMjlwsKN6rTGbIRDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8da31455165257f1f80a9fee5313e0a8f8cdd8879109d3810d940c906128f66e","last_reissued_at":"2026-05-18T03:54:04.354358Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:54:04.354358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.1166","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":"2026-05-18T03:54:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"we85Fcmkm1dJUWoUp5O7ISR37QueS0vGqR7vDHwFaCUEPeiJLmDyuOrjzK6ccbXYPN0ZF0ntL+AC0ggmD9BZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T03:43:41.840234Z"},"content_sha256":"c967caabd75bfb298a51c47b84bee99cd0ff68081cbbb8aefebecd2fcd3c8022","schema_version":"1.0","event_id":"sha256:c967caabd75bfb298a51c47b84bee99cd0ff68081cbbb8aefebecd2fcd3c8022"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:RWRRIVIWKJL7D6AKT7XFGE7AVD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dark matter in galaxies according to the tensor-four-scalars theory II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Fabrice Larere, G\\\"unter Scharf","submitted_at":"2011-11-04T15:59:41Z","abstract_excerpt":"We continue to study the spherically symmetric vacuum solutions of the tensor-four-scalars theory which is a modification of general relativity. Our aim is to construct vacuum solutions with asymptotically constant circular velocity curves which can be used to represent the dark halo outside the baryonic matter. These solutions are obtained by means of a new non-standard gauge in the field equations. The metric is expressed in terms of the rotation curve $V(r)$ in closed form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1166","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":"2026-05-18T03:54:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qp2J/SoZKFeghZtGB0qKsXC1TCZYThMt6FVwtdNrr6AyIfqXowYxGeOs/5hRJLCGFNaT+3kWd3NlZrsjWbCWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T03:43:41.840584Z"},"content_sha256":"5f870818606a3667e76bda08a7d7061b64475ed3bebce5a60a3c3364c4a0819a","schema_version":"1.0","event_id":"sha256:5f870818606a3667e76bda08a7d7061b64475ed3bebce5a60a3c3364c4a0819a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RWRRIVIWKJL7D6AKT7XFGE7AVD/bundle.json","state_url":"https://pith.science/pith/RWRRIVIWKJL7D6AKT7XFGE7AVD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RWRRIVIWKJL7D6AKT7XFGE7AVD/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":"2026-06-26T03:43:41Z","links":{"resolver":"https://pith.science/pith/RWRRIVIWKJL7D6AKT7XFGE7AVD","bundle":"https://pith.science/pith/RWRRIVIWKJL7D6AKT7XFGE7AVD/bundle.json","state":"https://pith.science/pith/RWRRIVIWKJL7D6AKT7XFGE7AVD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RWRRIVIWKJL7D6AKT7XFGE7AVD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RWRRIVIWKJL7D6AKT7XFGE7AVD","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":"6615ae4203b0f19b994999359714b43217a002205bdc19c7cc00a89ce95bd1a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-11-04T15:59:41Z","title_canon_sha256":"3f69f730354af18e1b46995dc0ce102bf7c8ba08606ff7aa75274997a878dc65"},"schema_version":"1.0","source":{"id":"1111.1166","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.1166","created_at":"2026-05-18T03:54:04Z"},{"alias_kind":"arxiv_version","alias_value":"1111.1166v3","created_at":"2026-05-18T03:54:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.1166","created_at":"2026-05-18T03:54:04Z"},{"alias_kind":"pith_short_12","alias_value":"RWRRIVIWKJL7","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RWRRIVIWKJL7D6AK","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RWRRIVIW","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:5f870818606a3667e76bda08a7d7061b64475ed3bebce5a60a3c3364c4a0819a","target":"graph","created_at":"2026-05-18T03:54:04Z","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 continue to study the spherically symmetric vacuum solutions of the tensor-four-scalars theory which is a modification of general relativity. Our aim is to construct vacuum solutions with asymptotically constant circular velocity curves which can be used to represent the dark halo outside the baryonic matter. These solutions are obtained by means of a new non-standard gauge in the field equations. The metric is expressed in terms of the rotation curve $V(r)$ in closed form.","authors_text":"Fabrice Larere, G\\\"unter Scharf","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-11-04T15:59:41Z","title":"Dark matter in galaxies according to the tensor-four-scalars theory II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.1166","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:c967caabd75bfb298a51c47b84bee99cd0ff68081cbbb8aefebecd2fcd3c8022","target":"record","created_at":"2026-05-18T03:54:04Z","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":"6615ae4203b0f19b994999359714b43217a002205bdc19c7cc00a89ce95bd1a3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-11-04T15:59:41Z","title_canon_sha256":"3f69f730354af18e1b46995dc0ce102bf7c8ba08606ff7aa75274997a878dc65"},"schema_version":"1.0","source":{"id":"1111.1166","kind":"arxiv","version":3}},"canonical_sha256":"8da31455165257f1f80a9fee5313e0a8f8cdd8879109d3810d940c906128f66e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8da31455165257f1f80a9fee5313e0a8f8cdd8879109d3810d940c906128f66e","first_computed_at":"2026-05-18T03:54:04.354358Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:54:04.354358Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aDJK+pAHP+Zh21l26NR7aHrc/OA77H3tWm+hGRyFjKVcDgb2Z1pKpyw98Gv3U3Z5LjjKdHMjlwsKN6rTGbIRDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:54:04.354860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.1166","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c967caabd75bfb298a51c47b84bee99cd0ff68081cbbb8aefebecd2fcd3c8022","sha256:5f870818606a3667e76bda08a7d7061b64475ed3bebce5a60a3c3364c4a0819a"],"state_sha256":"63012c981d5d996735a2e77cde95a76445dccd555fb293ccfee8c6e22144e5a5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1PBUUoN/eH7X49pnABi2nlVCHjeuGqEK43wU5I5/Qa8zclYnS8yDAB+vGwtqcWWm4Igq0FjF/s88WsdwUXbbDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T03:43:41.842487Z","bundle_sha256":"40996704cb78dca677d175379f47ece682b0391da2989ccc96611365523a835a"}}