{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:D2GUFTMKNEAIZVYTNZH5MUSMEO","short_pith_number":"pith:D2GUFTMK","canonical_record":{"source":{"id":"gr-qc/0504117","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-24T10:36:26Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"f3bd5b8b7e7584b38acf4ad9e8ef5fe23a9d7574d493afdd77c6f9222c56117a","abstract_canon_sha256":"d30a63cb1fbe3e0eff4e9b3c20e62128a5acd9c76c0bb7aa8825024e163e4205"},"schema_version":"1.0"},"canonical_sha256":"1e8d42cd8a69008cd7136e4fd6524c23be8f6e9d72f2b421e125565ceeab9eb7","source":{"kind":"arxiv","id":"gr-qc/0504117","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0504117","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0504117v3","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0504117","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"D2GUFTMKNEAI","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"D2GUFTMKNEAIZVYT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"D2GUFTMK","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:D2GUFTMKNEAIZVYTNZH5MUSMEO","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0504117","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-24T10:36:26Z","cross_cats_sorted":["astro-ph"],"title_canon_sha256":"f3bd5b8b7e7584b38acf4ad9e8ef5fe23a9d7574d493afdd77c6f9222c56117a","abstract_canon_sha256":"d30a63cb1fbe3e0eff4e9b3c20e62128a5acd9c76c0bb7aa8825024e163e4205"},"schema_version":"1.0"},"canonical_sha256":"1e8d42cd8a69008cd7136e4fd6524c23be8f6e9d72f2b421e125565ceeab9eb7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:34.477918Z","signature_b64":"YAAMHeBwXAvJOYyh02W9dz2cVVq54wu25SCBp1r7RROgZIumuyJwY3A3vCto9U5NrA8qKwu1bA83yP3lbvvhAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e8d42cd8a69008cd7136e4fd6524c23be8f6e9d72f2b421e125565ceeab9eb7","last_reissued_at":"2026-05-18T04:35:34.477264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:34.477264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0504117","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":"2026-05-18T04:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qUaXuTRRQpDWgT96zR9IaTUUvrqwvP/5di6+GU5SI3IhQdxHGFSRN4RL+5qYR2kWe9zTQFBnu9vi8oeEgSUgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:50:14.879163Z"},"content_sha256":"9836425dfe32eebb839c093a222c021bc459fc00122cd008cbd069a838851639","schema_version":"1.0","event_id":"sha256:9836425dfe32eebb839c093a222c021bc459fc00122cd008cbd069a838851639"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:D2GUFTMKNEAIZVYTNZH5MUSMEO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weyl-Dirac theory predictions on galactic scales","license":"","headline":"","cross_cats":["astro-ph"],"primary_cat":"gr-qc","authors_text":"H. R. Sepangi, S. Jalalzadeh, S. Mirabotalebi, S. Movahed","submitted_at":"2005-04-24T10:36:26Z","abstract_excerpt":"We consider the Weyl-Dirac theory within the framework of the weak field approximation and show that the resulting gravitational potential differs from that of Newtonian by a repulsive correction term increasing with distance. The scale of the correction term appears to be determined by the time variation rate of the gravitational coupling. It is shown that if the time variation rate of gravitational coupling is adopted from observational bounds, the theory can explain the rotation curves of typical spiral galaxies without resorting to dark matter. To check the consistency of our theoretical m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0504117","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":""},"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":"2026-05-18T04:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FbR+QbOUkwDvfHZov5ZsULvg/LWcbKyvu/RLxdqwidZrWkVdyaxkn5gnGSYNBS8thnNhqqKZts7QsvQuPSHvCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T08:50:14.879899Z"},"content_sha256":"9d1f24a739835e83c1b37fef7766599f292b7e6fef54bb4f973d4e6e5bc42352","schema_version":"1.0","event_id":"sha256:9d1f24a739835e83c1b37fef7766599f292b7e6fef54bb4f973d4e6e5bc42352"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2GUFTMKNEAIZVYTNZH5MUSMEO/bundle.json","state_url":"https://pith.science/pith/D2GUFTMKNEAIZVYTNZH5MUSMEO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2GUFTMKNEAIZVYTNZH5MUSMEO/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":"2026-06-11T08:50:14Z","links":{"resolver":"https://pith.science/pith/D2GUFTMKNEAIZVYTNZH5MUSMEO","bundle":"https://pith.science/pith/D2GUFTMKNEAIZVYTNZH5MUSMEO/bundle.json","state":"https://pith.science/pith/D2GUFTMKNEAIZVYTNZH5MUSMEO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2GUFTMKNEAIZVYTNZH5MUSMEO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:D2GUFTMKNEAIZVYTNZH5MUSMEO","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":"d30a63cb1fbe3e0eff4e9b3c20e62128a5acd9c76c0bb7aa8825024e163e4205","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-24T10:36:26Z","title_canon_sha256":"f3bd5b8b7e7584b38acf4ad9e8ef5fe23a9d7574d493afdd77c6f9222c56117a"},"schema_version":"1.0","source":{"id":"gr-qc/0504117","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0504117","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0504117v3","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0504117","created_at":"2026-05-18T04:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"D2GUFTMKNEAI","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"D2GUFTMKNEAIZVYT","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"D2GUFTMK","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:9d1f24a739835e83c1b37fef7766599f292b7e6fef54bb4f973d4e6e5bc42352","target":"graph","created_at":"2026-05-18T04:35:34Z","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":"We consider the Weyl-Dirac theory within the framework of the weak field approximation and show that the resulting gravitational potential differs from that of Newtonian by a repulsive correction term increasing with distance. The scale of the correction term appears to be determined by the time variation rate of the gravitational coupling. It is shown that if the time variation rate of gravitational coupling is adopted from observational bounds, the theory can explain the rotation curves of typical spiral galaxies without resorting to dark matter. To check the consistency of our theoretical m","authors_text":"H. R. Sepangi, S. Jalalzadeh, S. Mirabotalebi, S. Movahed","cross_cats":["astro-ph"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2005-04-24T10:36:26Z","title":"Weyl-Dirac theory predictions on galactic scales"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0504117","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":"sha256:9836425dfe32eebb839c093a222c021bc459fc00122cd008cbd069a838851639","target":"record","created_at":"2026-05-18T04:35:34Z","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":"d30a63cb1fbe3e0eff4e9b3c20e62128a5acd9c76c0bb7aa8825024e163e4205","cross_cats_sorted":["astro-ph"],"license":"","primary_cat":"gr-qc","submitted_at":"2005-04-24T10:36:26Z","title_canon_sha256":"f3bd5b8b7e7584b38acf4ad9e8ef5fe23a9d7574d493afdd77c6f9222c56117a"},"schema_version":"1.0","source":{"id":"gr-qc/0504117","kind":"arxiv","version":3}},"canonical_sha256":"1e8d42cd8a69008cd7136e4fd6524c23be8f6e9d72f2b421e125565ceeab9eb7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e8d42cd8a69008cd7136e4fd6524c23be8f6e9d72f2b421e125565ceeab9eb7","first_computed_at":"2026-05-18T04:35:34.477264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:34.477264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YAAMHeBwXAvJOYyh02W9dz2cVVq54wu25SCBp1r7RROgZIumuyJwY3A3vCto9U5NrA8qKwu1bA83yP3lbvvhAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:34.477918Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0504117","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9836425dfe32eebb839c093a222c021bc459fc00122cd008cbd069a838851639","sha256:9d1f24a739835e83c1b37fef7766599f292b7e6fef54bb4f973d4e6e5bc42352"],"state_sha256":"694321555abfa63d3a64922371bcc2cb1e9eba5e17f9e19789f103c85fac234e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q6jV7A9b5OZ+XeMjmi1tAoxi7Etn3UYyWjNuCVBmN3xTMdi3sat+NvwQtupK8rxM8oQ871HyHNau+UkjhJHzCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T08:50:14.883249Z","bundle_sha256":"565d62fc82992efec70f0c91f40efbb1729fa53a2bfd0b0465c03ed0cdda13a0"}}