{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:JCTMRHMKXPKZQV3RCDA5OMA4LR","short_pith_number":"pith:JCTMRHMK","canonical_record":{"source":{"id":"2006.06032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-06-10T18:58:13Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"54540fc2541f2f05c71c51cecfcc6f5a709fc03e8b69f098037cd70eed3a1d8c","abstract_canon_sha256":"63d6d40288bb435e3bafce770b11858cca1275204f95e7698377632a44de1a65"},"schema_version":"1.0"},"canonical_sha256":"48a6c89d8abbd598577110c1d7301c5c52e2faf8201ba5626639f9aa412a8d86","source":{"kind":"arxiv","id":"2006.06032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.06032","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"2006.06032v1","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.06032","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"JCTMRHMKXPKZ","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"pith_short_16","alias_value":"JCTMRHMKXPKZQV3R","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"pith_short_8","alias_value":"JCTMRHMK","created_at":"2026-07-05T01:09:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:JCTMRHMKXPKZQV3RCDA5OMA4LR","target":"record","payload":{"canonical_record":{"source":{"id":"2006.06032","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-06-10T18:58:13Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"54540fc2541f2f05c71c51cecfcc6f5a709fc03e8b69f098037cd70eed3a1d8c","abstract_canon_sha256":"63d6d40288bb435e3bafce770b11858cca1275204f95e7698377632a44de1a65"},"schema_version":"1.0"},"canonical_sha256":"48a6c89d8abbd598577110c1d7301c5c52e2faf8201ba5626639f9aa412a8d86","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:09:45.607409Z","signature_b64":"eZUvOQVGACL9i/4t/Lgncj/CmKGvzV7uAReSLW4mcmKa3jEaB7z+xc5HNQw8/A3sDKVmZ4PzCF1gJIZyyHcRCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48a6c89d8abbd598577110c1d7301c5c52e2faf8201ba5626639f9aa412a8d86","last_reissued_at":"2026-07-05T01:09:45.606883Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:09:45.606883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2006.06032","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":"2026-07-05T01:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"12erK/OeueYR7ZqF29l6YHeTJbD69KfncnKgp9cFneR6LbVkW9ybTWB7afyFtp/WMQNkloB2SmiqMy0lgkq3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T18:01:53.725840Z"},"content_sha256":"04279f1fd0ab493467f060c6df4a7e1986a4efe1f3a9d1c130044651dd1a3b04","schema_version":"1.0","event_id":"sha256:04279f1fd0ab493467f060c6df4a7e1986a4efe1f3a9d1c130044651dd1a3b04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:JCTMRHMKXPKZQV3RCDA5OMA4LR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Testing MOdified Gravity (MOG) theory and dark matter model in Milky Way using the local observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"Sohrab Rahvar, Zahra Davari","submitted_at":"2020-06-10T18:58:13Z","abstract_excerpt":"In this paper, we have investigated one of the alternative theories to dark matter named MOdified Gravity (MOG) by testing its ability to describe the local dynamics of the Milky Way in vertical and transverse directions with the baryonic matter. MOG is designed to interpret the dynamics of galaxies and cluster of galaxies without the need for dark matter. We use local observational data such as the vertical dispersion, rotation curve, surface density and number density of stars in the Milky Way to obtained the parameters of MOG and the baryonic component of MW by implementing a Bayesian appro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.06032","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/2006.06032/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":"2026-07-05T01:09:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K9EhlLEyFlBkGa0bioWsFxEUxLxbxoF79Kx74NWtDw5Xl4rrcUzfjD55IDiLeAKpsBxf9UeDDgEt0Tll6jYSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T18:01:53.726354Z"},"content_sha256":"afb933b1fa69ffd3bebc42b6ea481231ed2c00e18cc6be275717e428e40667e3","schema_version":"1.0","event_id":"sha256:afb933b1fa69ffd3bebc42b6ea481231ed2c00e18cc6be275717e428e40667e3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JCTMRHMKXPKZQV3RCDA5OMA4LR/bundle.json","state_url":"https://pith.science/pith/JCTMRHMKXPKZQV3RCDA5OMA4LR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JCTMRHMKXPKZQV3RCDA5OMA4LR/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":"2026-08-14T18:01:53Z","links":{"resolver":"https://pith.science/pith/JCTMRHMKXPKZQV3RCDA5OMA4LR","bundle":"https://pith.science/pith/JCTMRHMKXPKZQV3RCDA5OMA4LR/bundle.json","state":"https://pith.science/pith/JCTMRHMKXPKZQV3RCDA5OMA4LR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JCTMRHMKXPKZQV3RCDA5OMA4LR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:JCTMRHMKXPKZQV3RCDA5OMA4LR","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":"63d6d40288bb435e3bafce770b11858cca1275204f95e7698377632a44de1a65","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-06-10T18:58:13Z","title_canon_sha256":"54540fc2541f2f05c71c51cecfcc6f5a709fc03e8b69f098037cd70eed3a1d8c"},"schema_version":"1.0","source":{"id":"2006.06032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.06032","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"arxiv_version","alias_value":"2006.06032v1","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.06032","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"pith_short_12","alias_value":"JCTMRHMKXPKZ","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"pith_short_16","alias_value":"JCTMRHMKXPKZQV3R","created_at":"2026-07-05T01:09:45Z"},{"alias_kind":"pith_short_8","alias_value":"JCTMRHMK","created_at":"2026-07-05T01:09:45Z"}],"graph_snapshots":[{"event_id":"sha256:afb933b1fa69ffd3bebc42b6ea481231ed2c00e18cc6be275717e428e40667e3","target":"graph","created_at":"2026-07-05T01:09:45Z","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/2006.06032/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we have investigated one of the alternative theories to dark matter named MOdified Gravity (MOG) by testing its ability to describe the local dynamics of the Milky Way in vertical and transverse directions with the baryonic matter. MOG is designed to interpret the dynamics of galaxies and cluster of galaxies without the need for dark matter. We use local observational data such as the vertical dispersion, rotation curve, surface density and number density of stars in the Milky Way to obtained the parameters of MOG and the baryonic component of MW by implementing a Bayesian appro","authors_text":"Sohrab Rahvar, Zahra Davari","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-06-10T18:58:13Z","title":"Testing MOdified Gravity (MOG) theory and dark matter model in Milky Way using the local observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.06032","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":"sha256:04279f1fd0ab493467f060c6df4a7e1986a4efe1f3a9d1c130044651dd1a3b04","target":"record","created_at":"2026-07-05T01:09:45Z","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":"63d6d40288bb435e3bafce770b11858cca1275204f95e7698377632a44de1a65","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2020-06-10T18:58:13Z","title_canon_sha256":"54540fc2541f2f05c71c51cecfcc6f5a709fc03e8b69f098037cd70eed3a1d8c"},"schema_version":"1.0","source":{"id":"2006.06032","kind":"arxiv","version":1}},"canonical_sha256":"48a6c89d8abbd598577110c1d7301c5c52e2faf8201ba5626639f9aa412a8d86","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48a6c89d8abbd598577110c1d7301c5c52e2faf8201ba5626639f9aa412a8d86","first_computed_at":"2026-07-05T01:09:45.606883Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:09:45.606883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eZUvOQVGACL9i/4t/Lgncj/CmKGvzV7uAReSLW4mcmKa3jEaB7z+xc5HNQw8/A3sDKVmZ4PzCF1gJIZyyHcRCw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:09:45.607409Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.06032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04279f1fd0ab493467f060c6df4a7e1986a4efe1f3a9d1c130044651dd1a3b04","sha256:afb933b1fa69ffd3bebc42b6ea481231ed2c00e18cc6be275717e428e40667e3"],"state_sha256":"cd8b3a919fe603407dbca5c6d6bf4b0ed298d1d079e22938438b98022509fa46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QFgGWyXTOo2p/Rk6Fupw1qs0vQz1BZGcsREaxntDuthOp3rRyhG8NknoctidVjGUChDX5IyLxX0unCa6nRr7CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T18:01:53.766770Z","bundle_sha256":"35ecc1376aee3e801d424174b630b08875206b11ebd80b239c954f313b02ef24"}}