{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:WM7UQAMQIFEPIPV5M6XXDIEH63","short_pith_number":"pith:WM7UQAMQ","canonical_record":{"source":{"id":"1303.1408","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-06T18:09:37Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"cb3665d76def095587e63a88c452a6467c89dc2ac3e025b7f166a03f9332061b","abstract_canon_sha256":"5256e31dbc22573eac5bace89fb091911941de6179db25bdcd2381e55e4fd96b"},"schema_version":"1.0"},"canonical_sha256":"b33f4801904148f43ebd67af71a087f6fb97ca5f2bf754ac93ffa41d041f8bcc","source":{"kind":"arxiv","id":"1303.1408","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1408","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1408v4","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1408","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"pith_short_12","alias_value":"WM7UQAMQIFEP","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WM7UQAMQIFEPIPV5","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WM7UQAMQ","created_at":"2026-05-18T12:28:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:WM7UQAMQIFEPIPV5M6XXDIEH63","target":"record","payload":{"canonical_record":{"source":{"id":"1303.1408","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-06T18:09:37Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"cb3665d76def095587e63a88c452a6467c89dc2ac3e025b7f166a03f9332061b","abstract_canon_sha256":"5256e31dbc22573eac5bace89fb091911941de6179db25bdcd2381e55e4fd96b"},"schema_version":"1.0"},"canonical_sha256":"b33f4801904148f43ebd67af71a087f6fb97ca5f2bf754ac93ffa41d041f8bcc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:46.067917Z","signature_b64":"xslirPbZu4XvSFlKTyDrJpmQWFITE1xIadT3YbxfZ6QSQBtNYSQRkJ+ShAnmBZ70kZEd23/BR4ZDh47uB87hDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b33f4801904148f43ebd67af71a087f6fb97ca5f2bf754ac93ffa41d041f8bcc","last_reissued_at":"2026-05-18T03:13:46.067071Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:46.067071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.1408","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:13:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NJ/UPGJ10seM7Kbf/6Q8+n0Cggo1bw1NZEwYc4uaGVj2wx8hCW5wHtgh6lWQDzD6qZBPKgooiN5Kq3ARIZg6Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:49:54.510880Z"},"content_sha256":"2d4a26e1a17a0cd227ae64334021a4f212c3462376dce0bfd73fe10f0581ca0d","schema_version":"1.0","event_id":"sha256:2d4a26e1a17a0cd227ae64334021a4f212c3462376dce0bfd73fe10f0581ca0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:WM7UQAMQIFEPIPV5M6XXDIEH63","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Junction conditions for F(R)-gravity and their consequences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Jos\\'e M. M. Senovilla","submitted_at":"2013-03-06T18:09:37Z","abstract_excerpt":"I present the junction conditions for F(R) theories of gravity and their implications: the generalized Israel conditions and equations. These junction conditions are necessary to construct global models of stars, galaxies, etc., where a vacuum region surrounds a finite body in equilibrium, as well as to describe shells of matter and braneworlds, and they are stricter than in General Relativity in both cases. For the latter case, I obtain the field equations for the energy-momentum tensor on the shell/brane, and they turn out to be, remarkably, the same as in General Relativity. An exceptional "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1408","kind":"arxiv","version":4},"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":"2026-05-18T03:13:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ssM+Xs4MrxnUW2/8h4JoAm6HMGNXTUF4nLc7oI5gSjruGqynOILrubu4Ilf6CNlK1qIm2ywbljQQd6Ab0LshBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:49:54.511623Z"},"content_sha256":"93fedea5a72ba8cd2467aa22a7077376c6d4f16761c461a03ca9f12f3cbe140d","schema_version":"1.0","event_id":"sha256:93fedea5a72ba8cd2467aa22a7077376c6d4f16761c461a03ca9f12f3cbe140d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WM7UQAMQIFEPIPV5M6XXDIEH63/bundle.json","state_url":"https://pith.science/pith/WM7UQAMQIFEPIPV5M6XXDIEH63/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WM7UQAMQIFEPIPV5M6XXDIEH63/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":"2026-06-10T06:49:54Z","links":{"resolver":"https://pith.science/pith/WM7UQAMQIFEPIPV5M6XXDIEH63","bundle":"https://pith.science/pith/WM7UQAMQIFEPIPV5M6XXDIEH63/bundle.json","state":"https://pith.science/pith/WM7UQAMQIFEPIPV5M6XXDIEH63/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WM7UQAMQIFEPIPV5M6XXDIEH63/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:WM7UQAMQIFEPIPV5M6XXDIEH63","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":"5256e31dbc22573eac5bace89fb091911941de6179db25bdcd2381e55e4fd96b","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-06T18:09:37Z","title_canon_sha256":"cb3665d76def095587e63a88c452a6467c89dc2ac3e025b7f166a03f9332061b"},"schema_version":"1.0","source":{"id":"1303.1408","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1408","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1408v4","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1408","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"pith_short_12","alias_value":"WM7UQAMQIFEP","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"WM7UQAMQIFEPIPV5","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"WM7UQAMQ","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:93fedea5a72ba8cd2467aa22a7077376c6d4f16761c461a03ca9f12f3cbe140d","target":"graph","created_at":"2026-05-18T03:13:46Z","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":"I present the junction conditions for F(R) theories of gravity and their implications: the generalized Israel conditions and equations. These junction conditions are necessary to construct global models of stars, galaxies, etc., where a vacuum region surrounds a finite body in equilibrium, as well as to describe shells of matter and braneworlds, and they are stricter than in General Relativity in both cases. For the latter case, I obtain the field equations for the energy-momentum tensor on the shell/brane, and they turn out to be, remarkably, the same as in General Relativity. An exceptional ","authors_text":"Jos\\'e M. M. Senovilla","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-06T18:09:37Z","title":"Junction conditions for F(R)-gravity and their consequences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1408","kind":"arxiv","version":4},"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":"sha256:2d4a26e1a17a0cd227ae64334021a4f212c3462376dce0bfd73fe10f0581ca0d","target":"record","created_at":"2026-05-18T03:13:46Z","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":"5256e31dbc22573eac5bace89fb091911941de6179db25bdcd2381e55e4fd96b","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-06T18:09:37Z","title_canon_sha256":"cb3665d76def095587e63a88c452a6467c89dc2ac3e025b7f166a03f9332061b"},"schema_version":"1.0","source":{"id":"1303.1408","kind":"arxiv","version":4}},"canonical_sha256":"b33f4801904148f43ebd67af71a087f6fb97ca5f2bf754ac93ffa41d041f8bcc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b33f4801904148f43ebd67af71a087f6fb97ca5f2bf754ac93ffa41d041f8bcc","first_computed_at":"2026-05-18T03:13:46.067071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:46.067071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xslirPbZu4XvSFlKTyDrJpmQWFITE1xIadT3YbxfZ6QSQBtNYSQRkJ+ShAnmBZ70kZEd23/BR4ZDh47uB87hDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:46.067917Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1408","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d4a26e1a17a0cd227ae64334021a4f212c3462376dce0bfd73fe10f0581ca0d","sha256:93fedea5a72ba8cd2467aa22a7077376c6d4f16761c461a03ca9f12f3cbe140d"],"state_sha256":"bfbbe7108687853f617d3d7799fe6664c317cad2400166918fa29069a270ebf9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4xUSjdO2hZgWzi4GCRcCFiVHMUu0wIa+Q/qWUrSRaUVHCIe0Cztgs3VZ7tXvMb5dua+TV3D4m41qzi2XY/zDCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:49:54.515703Z","bundle_sha256":"874460273f990f3527265f1b4ed17d1299cb53d50d3bc192900ec015e12be60e"}}