{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:622ZTTDNPDTO4FZ6J77V24M7ZS","short_pith_number":"pith:622ZTTDN","canonical_record":{"source":{"id":"1003.4603","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-24T10:14:54Z","cross_cats_sorted":[],"title_canon_sha256":"a2123c075e77692b19180ac87911d6ee9116aae4a8bc82cbdcbe4c903ba9cabb","abstract_canon_sha256":"49a3a3d992ff4bdff0263e7613bb0f7848189bd6731b32fa977329259b540baa"},"schema_version":"1.0"},"canonical_sha256":"f6b599cc6d78e6ee173e4fff5d719fcc9348291350e72d62109c4e7e18213b02","source":{"kind":"arxiv","id":"1003.4603","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.4603","created_at":"2026-05-18T04:34:00Z"},{"alias_kind":"arxiv_version","alias_value":"1003.4603v3","created_at":"2026-05-18T04:34:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.4603","created_at":"2026-05-18T04:34:00Z"},{"alias_kind":"pith_short_12","alias_value":"622ZTTDNPDTO","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"622ZTTDNPDTO4FZ6","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"622ZTTDN","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:622ZTTDNPDTO4FZ6J77V24M7ZS","target":"record","payload":{"canonical_record":{"source":{"id":"1003.4603","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-24T10:14:54Z","cross_cats_sorted":[],"title_canon_sha256":"a2123c075e77692b19180ac87911d6ee9116aae4a8bc82cbdcbe4c903ba9cabb","abstract_canon_sha256":"49a3a3d992ff4bdff0263e7613bb0f7848189bd6731b32fa977329259b540baa"},"schema_version":"1.0"},"canonical_sha256":"f6b599cc6d78e6ee173e4fff5d719fcc9348291350e72d62109c4e7e18213b02","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:00.222497Z","signature_b64":"wsbQFbofnxin3aMXFZpaIvahQf4hTdqZPkabt0ouXxzFK4kauMgfeWF2IV9vVWGs/vD5+rx6SmKrBjcRC1aSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6b599cc6d78e6ee173e4fff5d719fcc9348291350e72d62109c4e7e18213b02","last_reissued_at":"2026-05-18T04:34:00.221853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:00.221853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.4603","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":"2026-05-18T04:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8eN/XHpAFkxX2pPPQM48lvDuapMe8Z4Dv9mbzZ2qXp7dV3AUha0aWhH0PoaQy5ctVs3Bm4wxbU1mJ5Oa2OKpCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:17:19.829980Z"},"content_sha256":"d602e20c098fa1cc80d58577eb3b87ed4aad9b964bea66ae4aaafec16941e34a","schema_version":"1.0","event_id":"sha256:d602e20c098fa1cc80d58577eb3b87ed4aad9b964bea66ae4aaafec16941e34a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:622ZTTDNPDTO4FZ6J77V24M7ZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Newton's Equation on the kappa space-time and the Kepler problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. K. Kapoor, E. Harikumar","submitted_at":"2010-03-24T10:14:54Z","abstract_excerpt":"We study the modification of Newton's second law, upto first order in the deformation parameter $a$, in the $\\kappa$-space-time. We derive the deformed Hamiltonian, expressed in terms of the commutative phase space variables, describing the particle moving in a central potential in the $\\kappa$-space-time. Using this, we find the modified equations of motion and show that there is an additional force along the radial direction. Using Pioneer anomaly data, we set a bond as well as fix the sign of $a$. We also analyse the violation of equivalence principle predicted by the modified Newton's equa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.4603","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":"2026-05-18T04:34:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cYJpl9GAw/P6dmr5LQUUrm51Q8fOA7o8N7pPqNodgchb7uMLtuNHsoxLtGEZH1cShIjlyrwS4lEfhp2SjJ2pDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:17:19.830343Z"},"content_sha256":"e3ea5146907ffb500638d766c6efa287f4b37fc00a70eb2d109a88f1e9a6f242","schema_version":"1.0","event_id":"sha256:e3ea5146907ffb500638d766c6efa287f4b37fc00a70eb2d109a88f1e9a6f242"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/622ZTTDNPDTO4FZ6J77V24M7ZS/bundle.json","state_url":"https://pith.science/pith/622ZTTDNPDTO4FZ6J77V24M7ZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/622ZTTDNPDTO4FZ6J77V24M7ZS/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":"2026-06-01T16:17:19Z","links":{"resolver":"https://pith.science/pith/622ZTTDNPDTO4FZ6J77V24M7ZS","bundle":"https://pith.science/pith/622ZTTDNPDTO4FZ6J77V24M7ZS/bundle.json","state":"https://pith.science/pith/622ZTTDNPDTO4FZ6J77V24M7ZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/622ZTTDNPDTO4FZ6J77V24M7ZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:622ZTTDNPDTO4FZ6J77V24M7ZS","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":"49a3a3d992ff4bdff0263e7613bb0f7848189bd6731b32fa977329259b540baa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-24T10:14:54Z","title_canon_sha256":"a2123c075e77692b19180ac87911d6ee9116aae4a8bc82cbdcbe4c903ba9cabb"},"schema_version":"1.0","source":{"id":"1003.4603","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.4603","created_at":"2026-05-18T04:34:00Z"},{"alias_kind":"arxiv_version","alias_value":"1003.4603v3","created_at":"2026-05-18T04:34:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.4603","created_at":"2026-05-18T04:34:00Z"},{"alias_kind":"pith_short_12","alias_value":"622ZTTDNPDTO","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"622ZTTDNPDTO4FZ6","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"622ZTTDN","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:e3ea5146907ffb500638d766c6efa287f4b37fc00a70eb2d109a88f1e9a6f242","target":"graph","created_at":"2026-05-18T04:34:00Z","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 study the modification of Newton's second law, upto first order in the deformation parameter $a$, in the $\\kappa$-space-time. We derive the deformed Hamiltonian, expressed in terms of the commutative phase space variables, describing the particle moving in a central potential in the $\\kappa$-space-time. Using this, we find the modified equations of motion and show that there is an additional force along the radial direction. Using Pioneer anomaly data, we set a bond as well as fix the sign of $a$. We also analyse the violation of equivalence principle predicted by the modified Newton's equa","authors_text":"A. K. Kapoor, E. Harikumar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-24T10:14:54Z","title":"Newton's Equation on the kappa space-time and the Kepler problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.4603","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:d602e20c098fa1cc80d58577eb3b87ed4aad9b964bea66ae4aaafec16941e34a","target":"record","created_at":"2026-05-18T04:34:00Z","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":"49a3a3d992ff4bdff0263e7613bb0f7848189bd6731b32fa977329259b540baa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-24T10:14:54Z","title_canon_sha256":"a2123c075e77692b19180ac87911d6ee9116aae4a8bc82cbdcbe4c903ba9cabb"},"schema_version":"1.0","source":{"id":"1003.4603","kind":"arxiv","version":3}},"canonical_sha256":"f6b599cc6d78e6ee173e4fff5d719fcc9348291350e72d62109c4e7e18213b02","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6b599cc6d78e6ee173e4fff5d719fcc9348291350e72d62109c4e7e18213b02","first_computed_at":"2026-05-18T04:34:00.221853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:00.221853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wsbQFbofnxin3aMXFZpaIvahQf4hTdqZPkabt0ouXxzFK4kauMgfeWF2IV9vVWGs/vD5+rx6SmKrBjcRC1aSAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:00.222497Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.4603","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d602e20c098fa1cc80d58577eb3b87ed4aad9b964bea66ae4aaafec16941e34a","sha256:e3ea5146907ffb500638d766c6efa287f4b37fc00a70eb2d109a88f1e9a6f242"],"state_sha256":"75fbfdc19f3615459a980f4be8c62692f9ac49786935d59f85ec6ec9d6f47bf3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tTQW81mlm0BpYJUpKpnQMpJ5lL4tb9Rb+5AW+T5S9sgQv8AbncNNTsnoITkGlc237KqYhWMxdybTwC5MXjbyDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:17:19.832273Z","bundle_sha256":"ff4d52da81184f7673cc34d4e450300dfab1f7eb6bbcc840416cf48295755cb1"}}