{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:HZ22VVJHRMDOS4X3FUIZALKR5M","short_pith_number":"pith:HZ22VVJH","canonical_record":{"source":{"id":"1207.2145","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T10:15:53Z","cross_cats_sorted":[],"title_canon_sha256":"043b8e2c8694980dda295a7eb9372d64a625b4c4d7cbac6aa789078c2a1c9b27","abstract_canon_sha256":"c785342bf422c3ae8df2adff8fd2491f4f64da3bece82055b99a9bdc77579c32"},"schema_version":"1.0"},"canonical_sha256":"3e75aad5278b06e972fb2d11902d51eb37bcac487aba4eb2d0a1650ee9f1f6d0","source":{"kind":"arxiv","id":"1207.2145","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2145","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2145v2","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2145","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"pith_short_12","alias_value":"HZ22VVJHRMDO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HZ22VVJHRMDOS4X3","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HZ22VVJH","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:HZ22VVJHRMDOS4X3FUIZALKR5M","target":"record","payload":{"canonical_record":{"source":{"id":"1207.2145","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T10:15:53Z","cross_cats_sorted":[],"title_canon_sha256":"043b8e2c8694980dda295a7eb9372d64a625b4c4d7cbac6aa789078c2a1c9b27","abstract_canon_sha256":"c785342bf422c3ae8df2adff8fd2491f4f64da3bece82055b99a9bdc77579c32"},"schema_version":"1.0"},"canonical_sha256":"3e75aad5278b06e972fb2d11902d51eb37bcac487aba4eb2d0a1650ee9f1f6d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:26.337391Z","signature_b64":"pW89+qUcUS50hBzQmRjcrzrB8Ec2KhUclBqsXtJGIhlWn6dU/uTZNVjpqZ9/x7GN3xqOPEILsjymx4KgB/1uCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e75aad5278b06e972fb2d11902d51eb37bcac487aba4eb2d0a1650ee9f1f6d0","last_reissued_at":"2026-05-18T01:56:26.336646Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:26.336646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.2145","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:56:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"inRTELjG8vV29yTZ/4+0OSeh+ccR9RGg1BXvpsth/+4g3LPw2CX+yxZQoH80IhCM/IlYDm9Sb74StQp8ZyEnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:27:12.934958Z"},"content_sha256":"6b746cc10962cd5cbd2182f73fef58bc1663e7fa22b574425131a9bb5ba602bc","schema_version":"1.0","event_id":"sha256:6b746cc10962cd5cbd2182f73fef58bc1663e7fa22b574425131a9bb5ba602bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:HZ22VVJHRMDOS4X3FUIZALKR5M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new proposal for Galactic dark matter: Effect of f(T) gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Farook Rahaman, Hafiza Ismat Fatima, Nasarul Islam, Ritabrata Biswas","submitted_at":"2012-07-07T10:15:53Z","abstract_excerpt":"It is still a challenging problem to the theoretical physicists to know the exact nature of the galactic dark matter which causes the galactic rotational velocity to be more or less a constant. We have proposed that the dark matter as an effect of f(T) gravity. Assuming the flat rotation curves as input we have shown that f(T) gravity can explain galactic dynamics. Here, we don' have to introduce dark matter. Spacetime metric inspired by f(T) gravity describes the region up to which the tangential velocity of the test particle is constant. This inherent property appears to be enough to produce"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2145","kind":"arxiv","version":2},"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":"2026-05-18T01:56:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P29msq30n+oRC/kCDhkw8LHtJVQ0smd4JuvhxLCWpynHHCH22BnT0d8aiHkaluv621LjcRB0V8H66HIxKPWXDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:27:12.935327Z"},"content_sha256":"116b1a9419be09040c1521deb5db6dbaecf7c637e214453f085871e099866996","schema_version":"1.0","event_id":"sha256:116b1a9419be09040c1521deb5db6dbaecf7c637e214453f085871e099866996"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HZ22VVJHRMDOS4X3FUIZALKR5M/bundle.json","state_url":"https://pith.science/pith/HZ22VVJHRMDOS4X3FUIZALKR5M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HZ22VVJHRMDOS4X3FUIZALKR5M/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":"2026-05-27T02:27:12Z","links":{"resolver":"https://pith.science/pith/HZ22VVJHRMDOS4X3FUIZALKR5M","bundle":"https://pith.science/pith/HZ22VVJHRMDOS4X3FUIZALKR5M/bundle.json","state":"https://pith.science/pith/HZ22VVJHRMDOS4X3FUIZALKR5M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HZ22VVJHRMDOS4X3FUIZALKR5M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:HZ22VVJHRMDOS4X3FUIZALKR5M","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":"c785342bf422c3ae8df2adff8fd2491f4f64da3bece82055b99a9bdc77579c32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T10:15:53Z","title_canon_sha256":"043b8e2c8694980dda295a7eb9372d64a625b4c4d7cbac6aa789078c2a1c9b27"},"schema_version":"1.0","source":{"id":"1207.2145","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2145","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2145v2","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2145","created_at":"2026-05-18T01:56:26Z"},{"alias_kind":"pith_short_12","alias_value":"HZ22VVJHRMDO","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"HZ22VVJHRMDOS4X3","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"HZ22VVJH","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:116b1a9419be09040c1521deb5db6dbaecf7c637e214453f085871e099866996","target":"graph","created_at":"2026-05-18T01:56:26Z","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":"It is still a challenging problem to the theoretical physicists to know the exact nature of the galactic dark matter which causes the galactic rotational velocity to be more or less a constant. We have proposed that the dark matter as an effect of f(T) gravity. Assuming the flat rotation curves as input we have shown that f(T) gravity can explain galactic dynamics. Here, we don' have to introduce dark matter. Spacetime metric inspired by f(T) gravity describes the region up to which the tangential velocity of the test particle is constant. This inherent property appears to be enough to produce","authors_text":"Farook Rahaman, Hafiza Ismat Fatima, Nasarul Islam, Ritabrata Biswas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T10:15:53Z","title":"A new proposal for Galactic dark matter: Effect of f(T) gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2145","kind":"arxiv","version":2},"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":"sha256:6b746cc10962cd5cbd2182f73fef58bc1663e7fa22b574425131a9bb5ba602bc","target":"record","created_at":"2026-05-18T01:56:26Z","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":"c785342bf422c3ae8df2adff8fd2491f4f64da3bece82055b99a9bdc77579c32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-07-07T10:15:53Z","title_canon_sha256":"043b8e2c8694980dda295a7eb9372d64a625b4c4d7cbac6aa789078c2a1c9b27"},"schema_version":"1.0","source":{"id":"1207.2145","kind":"arxiv","version":2}},"canonical_sha256":"3e75aad5278b06e972fb2d11902d51eb37bcac487aba4eb2d0a1650ee9f1f6d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e75aad5278b06e972fb2d11902d51eb37bcac487aba4eb2d0a1650ee9f1f6d0","first_computed_at":"2026-05-18T01:56:26.336646Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:26.336646Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pW89+qUcUS50hBzQmRjcrzrB8Ec2KhUclBqsXtJGIhlWn6dU/uTZNVjpqZ9/x7GN3xqOPEILsjymx4KgB/1uCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:26.337391Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.2145","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b746cc10962cd5cbd2182f73fef58bc1663e7fa22b574425131a9bb5ba602bc","sha256:116b1a9419be09040c1521deb5db6dbaecf7c637e214453f085871e099866996"],"state_sha256":"badf262361cf5f15561a599bbc9acbd199c49506c05358b4382f085f693ec21e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBm5sZ8UvoqDnR41+b54luq+rAnfCUzB4DF9wvdAcpD+dzFLRsYzbg9iOT4RMuBQSyjLOcxQxoq6gyhRGZIIDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:27:12.937776Z","bundle_sha256":"399481636a3a4d3e5d2664820add47a3377a6f4331af7b97d402d41b91f8cebd"}}