{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:Y7NJBIVLJH5BZSG3W3DFKHZ6WF","short_pith_number":"pith:Y7NJBIVL","canonical_record":{"source":{"id":"2311.15944","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-27T15:51:03Z","cross_cats_sorted":[],"title_canon_sha256":"badd2cfd73e0b07d21e8dc30b7722bf9646bb82c5d4165881e8efbda3ff7969e","abstract_canon_sha256":"a8afd00f58f1f6544eaebaaf2e8c59a439df4ab65016097f0059d6d0d6489163"},"schema_version":"1.0"},"canonical_sha256":"c7da90a2ab49fa1cc8dbb6c6551f3eb16aa7a2f9240b4d5fe61dd52ebd0e1058","source":{"kind":"arxiv","id":"2311.15944","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.15944","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"2311.15944v4","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.15944","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"Y7NJBIVLJH5B","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"pith_short_16","alias_value":"Y7NJBIVLJH5BZSG3","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"pith_short_8","alias_value":"Y7NJBIVL","created_at":"2026-07-05T08:32:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:Y7NJBIVLJH5BZSG3W3DFKHZ6WF","target":"record","payload":{"canonical_record":{"source":{"id":"2311.15944","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-27T15:51:03Z","cross_cats_sorted":[],"title_canon_sha256":"badd2cfd73e0b07d21e8dc30b7722bf9646bb82c5d4165881e8efbda3ff7969e","abstract_canon_sha256":"a8afd00f58f1f6544eaebaaf2e8c59a439df4ab65016097f0059d6d0d6489163"},"schema_version":"1.0"},"canonical_sha256":"c7da90a2ab49fa1cc8dbb6c6551f3eb16aa7a2f9240b4d5fe61dd52ebd0e1058","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:32:09.988625Z","signature_b64":"ebWiG9XPw6JsNs9MRLhb25FpMQNbMCHhiQTkHm5TrX4mOmWUzggx167q1L8ydo2t1tFShjGPDQDrZRQYGMK+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c7da90a2ab49fa1cc8dbb6c6551f3eb16aa7a2f9240b4d5fe61dd52ebd0e1058","last_reissued_at":"2026-07-05T08:32:09.988134Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:32:09.988134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.15944","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":"2026-07-05T08:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l/R9J+4/k6xxFXGvqiTlUdGmVOV4kiRIWX+DHJPybP52gfMNfyQLeVsmgSrH8/h0XzcbVNGV+1ph++9/o54YBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:38:12.931418Z"},"content_sha256":"ed62057879c9ef77d96549a41cbf8ec412180cfe4106162e70c7f56b946be703","schema_version":"1.0","event_id":"sha256:ed62057879c9ef77d96549a41cbf8ec412180cfe4106162e70c7f56b946be703"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:Y7NJBIVLJH5BZSG3W3DFKHZ6WF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic periastron advance beyond Einstein theory: analytical solution with applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Antonio Capolupo, Antonio Tedesco, Gaetano Lambiase","submitted_at":"2023-11-27T15:51:03Z","abstract_excerpt":"We find a new solution to calculate the orbital periastron advance of a test body subject to a central gravitational force field, for relativistic theories and models beyond Einstein. This analitycal formula has general validity that includes all the post-Newtonian (PN) contributions to the dynamics and is useful for high-precision gravitational tests. The solution is directly applicable to corrective potentials of various forms, without the need for numerical integration. Later, we apply it to the Scalar Tensor Fourth Order Gravity (STFOG) and NonCommutative Geometry, providing corrections to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.15944","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2311.15944/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:32:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zCodQyvjonvEEEeJ2maOKHHrei3N37pjbTHxPV8VdSg2jZv3Vi1XmsdKgydVicHxM3P2wgXhXckuVa16CcEzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T22:38:12.931933Z"},"content_sha256":"ae9403d857b7496801e70626fbb77a3b67f2f2ac96a0c86e419a678cba519ced","schema_version":"1.0","event_id":"sha256:ae9403d857b7496801e70626fbb77a3b67f2f2ac96a0c86e419a678cba519ced"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y7NJBIVLJH5BZSG3W3DFKHZ6WF/bundle.json","state_url":"https://pith.science/pith/Y7NJBIVLJH5BZSG3W3DFKHZ6WF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y7NJBIVLJH5BZSG3W3DFKHZ6WF/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":"2026-08-12T22:38:12Z","links":{"resolver":"https://pith.science/pith/Y7NJBIVLJH5BZSG3W3DFKHZ6WF","bundle":"https://pith.science/pith/Y7NJBIVLJH5BZSG3W3DFKHZ6WF/bundle.json","state":"https://pith.science/pith/Y7NJBIVLJH5BZSG3W3DFKHZ6WF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y7NJBIVLJH5BZSG3W3DFKHZ6WF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:Y7NJBIVLJH5BZSG3W3DFKHZ6WF","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":"a8afd00f58f1f6544eaebaaf2e8c59a439df4ab65016097f0059d6d0d6489163","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-27T15:51:03Z","title_canon_sha256":"badd2cfd73e0b07d21e8dc30b7722bf9646bb82c5d4165881e8efbda3ff7969e"},"schema_version":"1.0","source":{"id":"2311.15944","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.15944","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"arxiv_version","alias_value":"2311.15944v4","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.15944","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"pith_short_12","alias_value":"Y7NJBIVLJH5B","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"pith_short_16","alias_value":"Y7NJBIVLJH5BZSG3","created_at":"2026-07-05T08:32:09Z"},{"alias_kind":"pith_short_8","alias_value":"Y7NJBIVL","created_at":"2026-07-05T08:32:09Z"}],"graph_snapshots":[{"event_id":"sha256:ae9403d857b7496801e70626fbb77a3b67f2f2ac96a0c86e419a678cba519ced","target":"graph","created_at":"2026-07-05T08:32:09Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.15944/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We find a new solution to calculate the orbital periastron advance of a test body subject to a central gravitational force field, for relativistic theories and models beyond Einstein. This analitycal formula has general validity that includes all the post-Newtonian (PN) contributions to the dynamics and is useful for high-precision gravitational tests. The solution is directly applicable to corrective potentials of various forms, without the need for numerical integration. Later, we apply it to the Scalar Tensor Fourth Order Gravity (STFOG) and NonCommutative Geometry, providing corrections to","authors_text":"Antonio Capolupo, Antonio Tedesco, Gaetano Lambiase","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-27T15:51:03Z","title":"Relativistic periastron advance beyond Einstein theory: analytical solution with applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.15944","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:ed62057879c9ef77d96549a41cbf8ec412180cfe4106162e70c7f56b946be703","target":"record","created_at":"2026-07-05T08:32:09Z","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":"a8afd00f58f1f6544eaebaaf2e8c59a439df4ab65016097f0059d6d0d6489163","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2023-11-27T15:51:03Z","title_canon_sha256":"badd2cfd73e0b07d21e8dc30b7722bf9646bb82c5d4165881e8efbda3ff7969e"},"schema_version":"1.0","source":{"id":"2311.15944","kind":"arxiv","version":4}},"canonical_sha256":"c7da90a2ab49fa1cc8dbb6c6551f3eb16aa7a2f9240b4d5fe61dd52ebd0e1058","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c7da90a2ab49fa1cc8dbb6c6551f3eb16aa7a2f9240b4d5fe61dd52ebd0e1058","first_computed_at":"2026-07-05T08:32:09.988134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:32:09.988134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ebWiG9XPw6JsNs9MRLhb25FpMQNbMCHhiQTkHm5TrX4mOmWUzggx167q1L8ydo2t1tFShjGPDQDrZRQYGMK+CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:32:09.988625Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.15944","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ed62057879c9ef77d96549a41cbf8ec412180cfe4106162e70c7f56b946be703","sha256:ae9403d857b7496801e70626fbb77a3b67f2f2ac96a0c86e419a678cba519ced"],"state_sha256":"ad2a8bd207b333f4377da94c01ca2f8edf0984a66f82803da0f0ac56e1aae221"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1sPi0Maux17nHjnZv2/WO/7Y1Udtq8gZmXIdQ7lKWx+ClvDoNkne1cd/z1TZqDocYEXHJNaXi36IzjKB1SUSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T22:38:12.935838Z","bundle_sha256":"fb15537ced49ffa223a897b1a6e136022ec777a0e90dd576a00965967bdc5918"}}