{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QDUMAVB6JYAPGHJJK4KXHDHDCU","short_pith_number":"pith:QDUMAVB6","canonical_record":{"source":{"id":"1909.00095","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-08-31T00:02:04Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"8fffa3bc0996c80af0fb272076fe0234f1300861d1f50ce9b4d7c78b3037d890","abstract_canon_sha256":"5764262ae2034a2c2347a27c958d020153d41d2359573bfa2542918da1356794"},"schema_version":"1.0"},"canonical_sha256":"80e8c0543e4e00f31d295715738ce3150e22343a6d8b69b78496c7aa15616e7a","source":{"kind":"arxiv","id":"1909.00095","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.00095","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"1909.00095v3","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00095","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"QDUMAVB6JYAP","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"pith_short_16","alias_value":"QDUMAVB6JYAPGHJJ","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"pith_short_8","alias_value":"QDUMAVB6","created_at":"2026-07-05T01:12:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QDUMAVB6JYAPGHJJK4KXHDHDCU","target":"record","payload":{"canonical_record":{"source":{"id":"1909.00095","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-08-31T00:02:04Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"8fffa3bc0996c80af0fb272076fe0234f1300861d1f50ce9b4d7c78b3037d890","abstract_canon_sha256":"5764262ae2034a2c2347a27c958d020153d41d2359573bfa2542918da1356794"},"schema_version":"1.0"},"canonical_sha256":"80e8c0543e4e00f31d295715738ce3150e22343a6d8b69b78496c7aa15616e7a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:12:22.968683Z","signature_b64":"MviJFQyhXTz+qScC6drfSrRRjQBg0zufMpjZBukHTG9mjWA81BYzXAtSgY2M5Si2kL/9k2XGnvIT3uH8okrSCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80e8c0543e4e00f31d295715738ce3150e22343a6d8b69b78496c7aa15616e7a","last_reissued_at":"2026-07-05T01:12:22.968255Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:12:22.968255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1909.00095","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":"2026-07-05T01:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6xdV6v8PpPJo4ZOEUgq05+huvMcEcXwiOLQBivfT1SqoCIh3umVTTWWjrj8Ku9utlrnaO5QBhDcjTxT8pT3yDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T11:55:06.508221Z"},"content_sha256":"5b8c9af291565f004f3e473c14ee0f2c1bb48f5047d12180c49799dd70f677d2","schema_version":"1.0","event_id":"sha256:5b8c9af291565f004f3e473c14ee0f2c1bb48f5047d12180c49799dd70f677d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QDUMAVB6JYAPGHJJK4KXHDHDCU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Significance of Gravitational Nonlinearities on the Dynamics of Disk Galaxies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"astro-ph.GA","authors_text":"Alexandre Deur, Bal\\v{s}a Terzi\\'c, Corey Sargent","submitted_at":"2019-08-31T00:02:04Z","abstract_excerpt":"The discrepancy between the visible mass in galaxies or galaxy clusters, and that inferred from their dynamics is well known. The prevailing solution to this problem is dark matter. Here we show that a different approach, one that conforms to both the current Standard Model of Particle Physics and General Relativity, explains the recently observed tight correlation between the galactic baryonic mass and its observed acceleration. Using direct calculations based on General Relativity's Lagrangian, and parameter-free galactic models, we show that the nonlinear effects of General Relativity make "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00095","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.00095/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":"2026-07-05T01:12:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XgVjQC5bvEMRJ6uvSEx/GF2Z75LvMDWcxudt9zszsh/ReD1ypoV38y705sWLdrb9vt1lJS4wxexb/xbuZI6sDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T11:55:06.509593Z"},"content_sha256":"0141f885b9aee45bdba0f1ee6a2c69c9c0746641b03bb626b84e5a0908729c40","schema_version":"1.0","event_id":"sha256:0141f885b9aee45bdba0f1ee6a2c69c9c0746641b03bb626b84e5a0908729c40"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QDUMAVB6JYAPGHJJK4KXHDHDCU/bundle.json","state_url":"https://pith.science/pith/QDUMAVB6JYAPGHJJK4KXHDHDCU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QDUMAVB6JYAPGHJJK4KXHDHDCU/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":"2026-08-14T11:55:06Z","links":{"resolver":"https://pith.science/pith/QDUMAVB6JYAPGHJJK4KXHDHDCU","bundle":"https://pith.science/pith/QDUMAVB6JYAPGHJJK4KXHDHDCU/bundle.json","state":"https://pith.science/pith/QDUMAVB6JYAPGHJJK4KXHDHDCU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QDUMAVB6JYAPGHJJK4KXHDHDCU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QDUMAVB6JYAPGHJJK4KXHDHDCU","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":"5764262ae2034a2c2347a27c958d020153d41d2359573bfa2542918da1356794","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-08-31T00:02:04Z","title_canon_sha256":"8fffa3bc0996c80af0fb272076fe0234f1300861d1f50ce9b4d7c78b3037d890"},"schema_version":"1.0","source":{"id":"1909.00095","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1909.00095","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"arxiv_version","alias_value":"1909.00095v3","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00095","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"pith_short_12","alias_value":"QDUMAVB6JYAP","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"pith_short_16","alias_value":"QDUMAVB6JYAPGHJJ","created_at":"2026-07-05T01:12:22Z"},{"alias_kind":"pith_short_8","alias_value":"QDUMAVB6","created_at":"2026-07-05T01:12:22Z"}],"graph_snapshots":[{"event_id":"sha256:0141f885b9aee45bdba0f1ee6a2c69c9c0746641b03bb626b84e5a0908729c40","target":"graph","created_at":"2026-07-05T01:12:22Z","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/1909.00095/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The discrepancy between the visible mass in galaxies or galaxy clusters, and that inferred from their dynamics is well known. The prevailing solution to this problem is dark matter. Here we show that a different approach, one that conforms to both the current Standard Model of Particle Physics and General Relativity, explains the recently observed tight correlation between the galactic baryonic mass and its observed acceleration. Using direct calculations based on General Relativity's Lagrangian, and parameter-free galactic models, we show that the nonlinear effects of General Relativity make ","authors_text":"Alexandre Deur, Bal\\v{s}a Terzi\\'c, Corey Sargent","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-08-31T00:02:04Z","title":"Significance of Gravitational Nonlinearities on the Dynamics of Disk Galaxies"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00095","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":"sha256:5b8c9af291565f004f3e473c14ee0f2c1bb48f5047d12180c49799dd70f677d2","target":"record","created_at":"2026-07-05T01:12:22Z","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":"5764262ae2034a2c2347a27c958d020153d41d2359573bfa2542918da1356794","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-08-31T00:02:04Z","title_canon_sha256":"8fffa3bc0996c80af0fb272076fe0234f1300861d1f50ce9b4d7c78b3037d890"},"schema_version":"1.0","source":{"id":"1909.00095","kind":"arxiv","version":3}},"canonical_sha256":"80e8c0543e4e00f31d295715738ce3150e22343a6d8b69b78496c7aa15616e7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80e8c0543e4e00f31d295715738ce3150e22343a6d8b69b78496c7aa15616e7a","first_computed_at":"2026-07-05T01:12:22.968255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:12:22.968255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MviJFQyhXTz+qScC6drfSrRRjQBg0zufMpjZBukHTG9mjWA81BYzXAtSgY2M5Si2kL/9k2XGnvIT3uH8okrSCg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:12:22.968683Z","signed_message":"canonical_sha256_bytes"},"source_id":"1909.00095","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b8c9af291565f004f3e473c14ee0f2c1bb48f5047d12180c49799dd70f677d2","sha256:0141f885b9aee45bdba0f1ee6a2c69c9c0746641b03bb626b84e5a0908729c40"],"state_sha256":"7f49b71b51de12d50e43389634682aa975aa171576ef933b625b936507cae00d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vrq9F3/RUusjqoXdEuVXbFQPIKZ4zaxmlBsaZEUP7wRjboB0pFmpMBuDmC7HMzGBDd8BOZl9y19XTJxspLTrCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T11:55:06.517196Z","bundle_sha256":"eeab5bbc41aa217f389c2adeed7d511875d822c434c787aff0edeeffe30eeaa8"}}