{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7UT26AGLLSTJSMFDMD2DA5CTRX","short_pith_number":"pith:7UT26AGL","canonical_record":{"source":{"id":"1811.02742","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-07T02:59:44Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"8e692f4f28c5225d40f695e69ab82eeae6cebeccbd0cde42bbb604fb43550cb6","abstract_canon_sha256":"9308b2ba26dee37c041e989bf6002ef9061cc1f2d6e75c7cc2e12cb650a7f360"},"schema_version":"1.0"},"canonical_sha256":"fd27af00cb5ca69930a360f43074538ddefbe380836bf91c34ca3deb88f9fe2d","source":{"kind":"arxiv","id":"1811.02742","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02742","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02742v2","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02742","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"pith_short_12","alias_value":"7UT26AGLLSTJ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7UT26AGLLSTJSMFD","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7UT26AGL","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7UT26AGLLSTJSMFDMD2DA5CTRX","target":"record","payload":{"canonical_record":{"source":{"id":"1811.02742","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-07T02:59:44Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"8e692f4f28c5225d40f695e69ab82eeae6cebeccbd0cde42bbb604fb43550cb6","abstract_canon_sha256":"9308b2ba26dee37c041e989bf6002ef9061cc1f2d6e75c7cc2e12cb650a7f360"},"schema_version":"1.0"},"canonical_sha256":"fd27af00cb5ca69930a360f43074538ddefbe380836bf91c34ca3deb88f9fe2d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:40.632253Z","signature_b64":"OrPwDkjxgYNAqcfxGqozuO0A+a1utETSXuL2oCGqlsP8PAzsKm2kOA9bq7t0mUwm+kyBvoW6P9jXJ1RmCmwnAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd27af00cb5ca69930a360f43074538ddefbe380836bf91c34ca3deb88f9fe2d","last_reissued_at":"2026-05-17T23:49:40.631588Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:40.631588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.02742","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":"2026-05-17T23:49:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tMqA0yR02/WFXL0OnyJOWQA3bSwgOZrx3PmvtFN5Byw/JBFOG0EUQzVr9O4tZ/oF/ssSeP1Neg/1DzFk0gHvDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:03:10.731134Z"},"content_sha256":"1a887b9ff820b4656258ca1ae1f84c6de6af6c8f638918335c4556a4c074feff","schema_version":"1.0","event_id":"sha256:1a887b9ff820b4656258ca1ae1f84c6de6af6c8f638918335c4556a4c074feff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7UT26AGLLSTJSMFDMD2DA5CTRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Bogdan Danila, Francisco S. N. Lobo, Man Kwong Mak, Tiberiu Harko","submitted_at":"2018-11-07T02:59:44Z","abstract_excerpt":"We consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini $f(R)$ formalisms unifying local constraints at the Solar System level and the late-time cosmic acceleration. We adopt the scalar-tensor representation of the hybrid metric-Palatini theory, in which the scalar-tensor definition of the potential can be represented as a Clairaut differential equation. Due to their mathematical complexity, it is difficult to find exact solutions of the vacuum field equations, and therefore we adopt a numerical a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02742","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":"2026-05-17T23:49:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"867QIONcRgQ/NUSd/Pj4J9srvlvpGvFnWo9Kuacl+FjQzH/bAs51YpVsok44VTl3ryXaw7nSWW4vynzuTC45BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T21:03:10.731881Z"},"content_sha256":"b8b68f621ea847bcdc4ff3dd19465efd251210ea992d3147917cf5a02045b726","schema_version":"1.0","event_id":"sha256:b8b68f621ea847bcdc4ff3dd19465efd251210ea992d3147917cf5a02045b726"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7UT26AGLLSTJSMFDMD2DA5CTRX/bundle.json","state_url":"https://pith.science/pith/7UT26AGLLSTJSMFDMD2DA5CTRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7UT26AGLLSTJSMFDMD2DA5CTRX/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":"2026-05-31T21:03:10Z","links":{"resolver":"https://pith.science/pith/7UT26AGLLSTJSMFDMD2DA5CTRX","bundle":"https://pith.science/pith/7UT26AGLLSTJSMFDMD2DA5CTRX/bundle.json","state":"https://pith.science/pith/7UT26AGLLSTJSMFDMD2DA5CTRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7UT26AGLLSTJSMFDMD2DA5CTRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7UT26AGLLSTJSMFDMD2DA5CTRX","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":"9308b2ba26dee37c041e989bf6002ef9061cc1f2d6e75c7cc2e12cb650a7f360","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-07T02:59:44Z","title_canon_sha256":"8e692f4f28c5225d40f695e69ab82eeae6cebeccbd0cde42bbb604fb43550cb6"},"schema_version":"1.0","source":{"id":"1811.02742","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.02742","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"arxiv_version","alias_value":"1811.02742v2","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.02742","created_at":"2026-05-17T23:49:40Z"},{"alias_kind":"pith_short_12","alias_value":"7UT26AGLLSTJ","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7UT26AGLLSTJSMFD","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7UT26AGL","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:b8b68f621ea847bcdc4ff3dd19465efd251210ea992d3147917cf5a02045b726","target":"graph","created_at":"2026-05-17T23:49:40Z","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 consider vacuum static spherically symmetric solutions in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini $f(R)$ formalisms unifying local constraints at the Solar System level and the late-time cosmic acceleration. We adopt the scalar-tensor representation of the hybrid metric-Palatini theory, in which the scalar-tensor definition of the potential can be represented as a Clairaut differential equation. Due to their mathematical complexity, it is difficult to find exact solutions of the vacuum field equations, and therefore we adopt a numerical a","authors_text":"Bogdan Danila, Francisco S. N. Lobo, Man Kwong Mak, Tiberiu Harko","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-07T02:59:44Z","title":"Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.02742","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":"sha256:1a887b9ff820b4656258ca1ae1f84c6de6af6c8f638918335c4556a4c074feff","target":"record","created_at":"2026-05-17T23:49:40Z","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":"9308b2ba26dee37c041e989bf6002ef9061cc1f2d6e75c7cc2e12cb650a7f360","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-07T02:59:44Z","title_canon_sha256":"8e692f4f28c5225d40f695e69ab82eeae6cebeccbd0cde42bbb604fb43550cb6"},"schema_version":"1.0","source":{"id":"1811.02742","kind":"arxiv","version":2}},"canonical_sha256":"fd27af00cb5ca69930a360f43074538ddefbe380836bf91c34ca3deb88f9fe2d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd27af00cb5ca69930a360f43074538ddefbe380836bf91c34ca3deb88f9fe2d","first_computed_at":"2026-05-17T23:49:40.631588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:40.631588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OrPwDkjxgYNAqcfxGqozuO0A+a1utETSXuL2oCGqlsP8PAzsKm2kOA9bq7t0mUwm+kyBvoW6P9jXJ1RmCmwnAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:40.632253Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.02742","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1a887b9ff820b4656258ca1ae1f84c6de6af6c8f638918335c4556a4c074feff","sha256:b8b68f621ea847bcdc4ff3dd19465efd251210ea992d3147917cf5a02045b726"],"state_sha256":"49a8fb46ada0ba9c991fe04aa9f815e1dab390de0c59999a04bff96d4525610e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DissLTFDgKQQ2dXcw+qr9F4LBkZCoZoY9/HvNhQBuOr8SXLOln+AWZAh3ywhgSZeNQQeHT5dNKWc5JkJNzjNAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T21:03:10.735460Z","bundle_sha256":"774b40fff594507855bc7199947725d5f92f70192d9720f30fe8ec11221e1271"}}