{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2RVUG4HR54ZYXLJPUPXFH7LQ3A","short_pith_number":"pith:2RVUG4HR","canonical_record":{"source":{"id":"2605.20574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-20T00:13:01Z","cross_cats_sorted":[],"title_canon_sha256":"96b69ca87175feaa2339387dc62548b299426e8de3f0cac325154f99e5bab3b2","abstract_canon_sha256":"ccb74eb583e9985efe8ab389d78b2526b32087d50306c75fffaa1a79ff2529a8"},"schema_version":"1.0"},"canonical_sha256":"d46b4370f1ef338bad2fa3ee53fd70d83e8ef8385ff32bb70e5b7109d98d7b10","source":{"kind":"arxiv","id":"2605.20574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20574","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20574v1","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20574","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"2RVUG4HR54ZY","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"pith_short_16","alias_value":"2RVUG4HR54ZYXLJP","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"pith_short_8","alias_value":"2RVUG4HR","created_at":"2026-05-21T01:04:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2RVUG4HR54ZYXLJPUPXFH7LQ3A","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20574","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-20T00:13:01Z","cross_cats_sorted":[],"title_canon_sha256":"96b69ca87175feaa2339387dc62548b299426e8de3f0cac325154f99e5bab3b2","abstract_canon_sha256":"ccb74eb583e9985efe8ab389d78b2526b32087d50306c75fffaa1a79ff2529a8"},"schema_version":"1.0"},"canonical_sha256":"d46b4370f1ef338bad2fa3ee53fd70d83e8ef8385ff32bb70e5b7109d98d7b10","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:43.019884Z","signature_b64":"8kSblMpOg7wABhJyp1xIud9fr3878bG1yt+bgfZY0CXjU9cgL3bd8nIiaLpJrD6akQqBmtdmBLvZWoPs5FtJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d46b4370f1ef338bad2fa3ee53fd70d83e8ef8385ff32bb70e5b7109d98d7b10","last_reissued_at":"2026-05-21T01:04:43.019213Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:43.019213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20574","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-21T01:04:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6W4JEk/fdtryKC5dJI3pVPOBI/KfCKaDhuZmZENp2Mlk/NhE3l0vEJjazGqFF76M/Ef4NaAav39OCxUA6X8tCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:30:14.467426Z"},"content_sha256":"db07364eb572423797250912f1f4e46712e6ed6d9832378f2eb0c64a33ee2104","schema_version":"1.0","event_id":"sha256:db07364eb572423797250912f1f4e46712e6ed6d9832378f2eb0c64a33ee2104"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2RVUG4HR54ZYXLJPUPXFH7LQ3A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Post-Newtonian orbital mechanics around a black hole in modified gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Dario Izzo, Gernot Heissel, Ioannis Liodis, Jai Grover, Rita Mastroioanni","submitted_at":"2026-05-20T00:13:01Z","abstract_excerpt":"Scalar-tensor-vector gravity, also known as modified gravity (MOG), has emerged as an alternative to General Relativity (GR). It aims to explain astrophysical phenomena without invoking dark matter. The S-stars orbiting the supermassive black hole at the Galactic centre provide a unique opportunity to test the predictions of MOG because the orbital measurements are highly precise. We investigate the perturbations in the orbits of S-stars under MOG, focusing on the effects on orbital elements, observables such as right ascension, declination, and radial velocity, and the potential degeneracy wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20574","kind":"arxiv","version":1},"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/2605.20574/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":"2026-05-21T01:04:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NW7TeyQbWVelALR2GgD3TPZD0Yx5yLkoy+qE4bZm/tVj4t9LoDQztGNw5c1kNy2CHtV6kCEEPL63cOJxgJOkAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T06:30:14.467864Z"},"content_sha256":"dbad1f3d5a32c23887795c902990ede9760c2db060b7e54d2e946db5c034025a","schema_version":"1.0","event_id":"sha256:dbad1f3d5a32c23887795c902990ede9760c2db060b7e54d2e946db5c034025a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2RVUG4HR54ZYXLJPUPXFH7LQ3A/bundle.json","state_url":"https://pith.science/pith/2RVUG4HR54ZYXLJPUPXFH7LQ3A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2RVUG4HR54ZYXLJPUPXFH7LQ3A/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":"2026-05-27T06:30:14Z","links":{"resolver":"https://pith.science/pith/2RVUG4HR54ZYXLJPUPXFH7LQ3A","bundle":"https://pith.science/pith/2RVUG4HR54ZYXLJPUPXFH7LQ3A/bundle.json","state":"https://pith.science/pith/2RVUG4HR54ZYXLJPUPXFH7LQ3A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2RVUG4HR54ZYXLJPUPXFH7LQ3A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2RVUG4HR54ZYXLJPUPXFH7LQ3A","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":"ccb74eb583e9985efe8ab389d78b2526b32087d50306c75fffaa1a79ff2529a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-20T00:13:01Z","title_canon_sha256":"96b69ca87175feaa2339387dc62548b299426e8de3f0cac325154f99e5bab3b2"},"schema_version":"1.0","source":{"id":"2605.20574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20574","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20574v1","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20574","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"pith_short_12","alias_value":"2RVUG4HR54ZY","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"pith_short_16","alias_value":"2RVUG4HR54ZYXLJP","created_at":"2026-05-21T01:04:43Z"},{"alias_kind":"pith_short_8","alias_value":"2RVUG4HR","created_at":"2026-05-21T01:04:43Z"}],"graph_snapshots":[{"event_id":"sha256:dbad1f3d5a32c23887795c902990ede9760c2db060b7e54d2e946db5c034025a","target":"graph","created_at":"2026-05-21T01:04:43Z","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/2605.20574/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Scalar-tensor-vector gravity, also known as modified gravity (MOG), has emerged as an alternative to General Relativity (GR). It aims to explain astrophysical phenomena without invoking dark matter. The S-stars orbiting the supermassive black hole at the Galactic centre provide a unique opportunity to test the predictions of MOG because the orbital measurements are highly precise. We investigate the perturbations in the orbits of S-stars under MOG, focusing on the effects on orbital elements, observables such as right ascension, declination, and radial velocity, and the potential degeneracy wi","authors_text":"Dario Izzo, Gernot Heissel, Ioannis Liodis, Jai Grover, Rita Mastroioanni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-20T00:13:01Z","title":"Post-Newtonian orbital mechanics around a black hole in modified gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20574","kind":"arxiv","version":1},"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:db07364eb572423797250912f1f4e46712e6ed6d9832378f2eb0c64a33ee2104","target":"record","created_at":"2026-05-21T01:04:43Z","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":"ccb74eb583e9985efe8ab389d78b2526b32087d50306c75fffaa1a79ff2529a8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-05-20T00:13:01Z","title_canon_sha256":"96b69ca87175feaa2339387dc62548b299426e8de3f0cac325154f99e5bab3b2"},"schema_version":"1.0","source":{"id":"2605.20574","kind":"arxiv","version":1}},"canonical_sha256":"d46b4370f1ef338bad2fa3ee53fd70d83e8ef8385ff32bb70e5b7109d98d7b10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d46b4370f1ef338bad2fa3ee53fd70d83e8ef8385ff32bb70e5b7109d98d7b10","first_computed_at":"2026-05-21T01:04:43.019213Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:04:43.019213Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8kSblMpOg7wABhJyp1xIud9fr3878bG1yt+bgfZY0CXjU9cgL3bd8nIiaLpJrD6akQqBmtdmBLvZWoPs5FtJCg==","signature_status":"signed_v1","signed_at":"2026-05-21T01:04:43.019884Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db07364eb572423797250912f1f4e46712e6ed6d9832378f2eb0c64a33ee2104","sha256:dbad1f3d5a32c23887795c902990ede9760c2db060b7e54d2e946db5c034025a"],"state_sha256":"169c08583f559a85ec53726c8f40073d77dbc8ffbd69b005921026089fb167d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZtMTvisFS6kBZK94P5W+Hu1uwvwMeXIna1IXF9MlTIGAzPmi5tI77ERhq6pplM8VbKW/C/FaBruG/zZaykMOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T06:30:14.470308Z","bundle_sha256":"0e73f5c5711854b5304a6ae29c61a8f8dedacbcde2c3eb58d51d20723ee853f1"}}