{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:225MLEPVUVRAJIVX3F2AC2WBWA","short_pith_number":"pith:225MLEPV","canonical_record":{"source":{"id":"1212.4469","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-12-14T22:19:37Z","cross_cats_sorted":[],"title_canon_sha256":"e511472ffa4388b8c6cb8699ebb779ec8227332c7793e59255eb19e7fa8300c1","abstract_canon_sha256":"866e9cc5840ac41fcbbb30ce42db51743fd2f2925f109597ddaa1fee282fe3aa"},"schema_version":"1.0"},"canonical_sha256":"d6bac591f5a56204a2b7d974016ac1b025c6c0c4779b89abb90612ad10174555","source":{"kind":"arxiv","id":"1212.4469","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4469","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4469v2","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4469","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"225MLEPVUVRA","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"225MLEPVUVRAJIVX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"225MLEPV","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:225MLEPVUVRAJIVX3F2AC2WBWA","target":"record","payload":{"canonical_record":{"source":{"id":"1212.4469","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-12-14T22:19:37Z","cross_cats_sorted":[],"title_canon_sha256":"e511472ffa4388b8c6cb8699ebb779ec8227332c7793e59255eb19e7fa8300c1","abstract_canon_sha256":"866e9cc5840ac41fcbbb30ce42db51743fd2f2925f109597ddaa1fee282fe3aa"},"schema_version":"1.0"},"canonical_sha256":"d6bac591f5a56204a2b7d974016ac1b025c6c0c4779b89abb90612ad10174555","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:59.625769Z","signature_b64":"plExSkrImslpOSF5lkNxvW3PmfPY6EZLV5TEABz/rytMC4EWFusBHRs4TOZejSG3jl9CvC11KdWeiKUuDlstBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d6bac591f5a56204a2b7d974016ac1b025c6c0c4779b89abb90612ad10174555","last_reissued_at":"2026-05-18T03:02:59.625075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:59.625075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.4469","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":"2026-05-18T03:02:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZP4pE6SWgFEulIJy/tK5zHkcbr0laDXyrw+SByyZWeP99R/NZtia3e1EQpdB5C0eRo3CDcNo24yH24pvTGwcBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:29:27.883890Z"},"content_sha256":"622902ba12ede1e5f87557405817c4a7d16b20202cce087a323054ee4f589b01","schema_version":"1.0","event_id":"sha256:622902ba12ede1e5f87557405817c4a7d16b20202cce087a323054ee4f589b01"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:225MLEPVUVRAJIVX3F2AC2WBWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Radiation Reaction Force on a Particle","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"H. Fearn, J. Bengtsson","submitted_at":"2012-12-14T22:19:37Z","abstract_excerpt":"The Abrahamn Lorentz radiation reaction force term, with da/dt, derived in text books is shown to be incomplete. We show that, with the addition of a term, the classical radiation reaction force can be generalized to the relativistic force expression. This addition is the Poynting Robertson term, seen mostly in astrophysics and usually missing from texts in electromagnetism. With this term added, it takes into account the rate of change of mass dm/dt of the particle and makes the generalization to the relativisitic formula for force very straight forward."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4469","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":"2026-05-18T03:02:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x8yPO66MH+ipTxNhnio67uoU7wt114WWy5J2+bj3ZOJoadhNrOQ7++RH7KaBEOxv2gHrOatDv2pplx4rWwydCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T14:29:27.884232Z"},"content_sha256":"23b852e06e1da6de8de0743c5569123cbf3aac85393ac00b53ce0e2a393b4454","schema_version":"1.0","event_id":"sha256:23b852e06e1da6de8de0743c5569123cbf3aac85393ac00b53ce0e2a393b4454"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/225MLEPVUVRAJIVX3F2AC2WBWA/bundle.json","state_url":"https://pith.science/pith/225MLEPVUVRAJIVX3F2AC2WBWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/225MLEPVUVRAJIVX3F2AC2WBWA/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":"2026-06-29T14:29:27Z","links":{"resolver":"https://pith.science/pith/225MLEPVUVRAJIVX3F2AC2WBWA","bundle":"https://pith.science/pith/225MLEPVUVRAJIVX3F2AC2WBWA/bundle.json","state":"https://pith.science/pith/225MLEPVUVRAJIVX3F2AC2WBWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/225MLEPVUVRAJIVX3F2AC2WBWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:225MLEPVUVRAJIVX3F2AC2WBWA","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":"866e9cc5840ac41fcbbb30ce42db51743fd2f2925f109597ddaa1fee282fe3aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-12-14T22:19:37Z","title_canon_sha256":"e511472ffa4388b8c6cb8699ebb779ec8227332c7793e59255eb19e7fa8300c1"},"schema_version":"1.0","source":{"id":"1212.4469","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.4469","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"arxiv_version","alias_value":"1212.4469v2","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.4469","created_at":"2026-05-18T03:02:59Z"},{"alias_kind":"pith_short_12","alias_value":"225MLEPVUVRA","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"225MLEPVUVRAJIVX","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"225MLEPV","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:23b852e06e1da6de8de0743c5569123cbf3aac85393ac00b53ce0e2a393b4454","target":"graph","created_at":"2026-05-18T03:02:59Z","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":"The Abrahamn Lorentz radiation reaction force term, with da/dt, derived in text books is shown to be incomplete. We show that, with the addition of a term, the classical radiation reaction force can be generalized to the relativistic force expression. This addition is the Poynting Robertson term, seen mostly in astrophysics and usually missing from texts in electromagnetism. With this term added, it takes into account the rate of change of mass dm/dt of the particle and makes the generalization to the relativisitic formula for force very straight forward.","authors_text":"H. Fearn, J. Bengtsson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-12-14T22:19:37Z","title":"Radiation Reaction Force on a Particle"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.4469","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":"sha256:622902ba12ede1e5f87557405817c4a7d16b20202cce087a323054ee4f589b01","target":"record","created_at":"2026-05-18T03:02:59Z","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":"866e9cc5840ac41fcbbb30ce42db51743fd2f2925f109597ddaa1fee282fe3aa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-12-14T22:19:37Z","title_canon_sha256":"e511472ffa4388b8c6cb8699ebb779ec8227332c7793e59255eb19e7fa8300c1"},"schema_version":"1.0","source":{"id":"1212.4469","kind":"arxiv","version":2}},"canonical_sha256":"d6bac591f5a56204a2b7d974016ac1b025c6c0c4779b89abb90612ad10174555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6bac591f5a56204a2b7d974016ac1b025c6c0c4779b89abb90612ad10174555","first_computed_at":"2026-05-18T03:02:59.625075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:59.625075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"plExSkrImslpOSF5lkNxvW3PmfPY6EZLV5TEABz/rytMC4EWFusBHRs4TOZejSG3jl9CvC11KdWeiKUuDlstBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:59.625769Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.4469","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:622902ba12ede1e5f87557405817c4a7d16b20202cce087a323054ee4f589b01","sha256:23b852e06e1da6de8de0743c5569123cbf3aac85393ac00b53ce0e2a393b4454"],"state_sha256":"21a9aac286c43862449bbc7ed3d711738b7db661578897633969376b0276c53a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gOt6NWFEh8gRIo19Db2ChzTziwMyFUz/cll4YtvojvmebkTcGyTfZQkIsZEuzpGBSvUNk0uZeoMtmpGrJRq7BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T14:29:27.886206Z","bundle_sha256":"bc25911c951dd53744c987c7ec7dd50b4a6d20de639cd4e9ff8d753784458745"}}