{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:5J4DEJZW4G3RR7ZUYGXNV2UDI2","short_pith_number":"pith:5J4DEJZW","canonical_record":{"source":{"id":"1807.05062","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-27T17:11:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a8f6b6a89c2c0628a99f4c1f72e5b361ca3acc65533cf3e436c886018e6793c6","abstract_canon_sha256":"152a2f34559ffcd045757e80d1d025076efac371aa12fcb37cfa1de7d0ed63a1"},"schema_version":"1.0"},"canonical_sha256":"ea78322736e1b718ff34c1aedaea8346b9b3fd13433aded5bdbd62742f978ada","source":{"kind":"arxiv","id":"1807.05062","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05062","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05062v2","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05062","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"5J4DEJZW4G3R","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5J4DEJZW4G3RR7ZU","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5J4DEJZW","created_at":"2026-05-18T12:32:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:5J4DEJZW4G3RR7ZUYGXNV2UDI2","target":"record","payload":{"canonical_record":{"source":{"id":"1807.05062","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-27T17:11:36Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a8f6b6a89c2c0628a99f4c1f72e5b361ca3acc65533cf3e436c886018e6793c6","abstract_canon_sha256":"152a2f34559ffcd045757e80d1d025076efac371aa12fcb37cfa1de7d0ed63a1"},"schema_version":"1.0"},"canonical_sha256":"ea78322736e1b718ff34c1aedaea8346b9b3fd13433aded5bdbd62742f978ada","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:17.203661Z","signature_b64":"sL/kja9lriAIph8YXwEKb59Ra7RK++HLDI85bVbibE4//qWllH+wrzmo+roir+1goqNFDDQA8p3BCuY89dpNCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea78322736e1b718ff34c1aedaea8346b9b3fd13433aded5bdbd62742f978ada","last_reissued_at":"2026-05-18T00:07:17.202873Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:17.202873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.05062","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":"2026-05-18T00:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0XEUP9OFm9/CWBF191RAvaDp7s8q9gbbyOmkQ4akt/Tma+9WZxYd6aXtjE2vLByXAwlV/rlaiwdXlbTJYJH0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:48:11.884143Z"},"content_sha256":"c3a4f53d435f1c3d797f46ba20d820028037238a537cbb499bf2b45b8defffd3","schema_version":"1.0","event_id":"sha256:c3a4f53d435f1c3d797f46ba20d820028037238a537cbb499bf2b45b8defffd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:5J4DEJZW4G3RR7ZUYGXNV2UDI2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"physics.gen-ph","authors_text":"Partha Nandi, Ravikant Verma, Sayan Kumar Pal","submitted_at":"2018-06-27T17:11:36Z","abstract_excerpt":"In this paper, we present the results of our investigation relating particle dynamics and non-commutativity of space-time by using Dirac's constraint analysis. In this study, we re-parameterise the time $t=t(\\tau)$ along with $x=x(\\tau)$ and treat both as configuration space variables. Here, $\\tau$ is a monotonic increasing parameter and the system evolves with this parameter. After constraint analysis, we find the deformed Dirac brackets similar to the $\\kappa$-deformed space-time and also, get the deformed Hamilton's equations of motion. Moreover, we study the effect of non-commutativity on "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05062","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":"2026-05-18T00:07:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rCxc7wDjZRX+iQ6AGFuiMLW3psUn76ZmeX2q1JTdp8HKNaCEZhunBbGbJYocLFLCZXQubAgbJ6n5Ln0Mzc4PCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T21:48:11.884747Z"},"content_sha256":"44fa713aac5e536fe1afa9b827cfa8ca4b71d40af4cbcf79a43f9a51cdcd7740","schema_version":"1.0","event_id":"sha256:44fa713aac5e536fe1afa9b827cfa8ca4b71d40af4cbcf79a43f9a51cdcd7740"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5J4DEJZW4G3RR7ZUYGXNV2UDI2/bundle.json","state_url":"https://pith.science/pith/5J4DEJZW4G3RR7ZUYGXNV2UDI2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5J4DEJZW4G3RR7ZUYGXNV2UDI2/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":"2026-06-06T21:48:11Z","links":{"resolver":"https://pith.science/pith/5J4DEJZW4G3RR7ZUYGXNV2UDI2","bundle":"https://pith.science/pith/5J4DEJZW4G3RR7ZUYGXNV2UDI2/bundle.json","state":"https://pith.science/pith/5J4DEJZW4G3RR7ZUYGXNV2UDI2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5J4DEJZW4G3RR7ZUYGXNV2UDI2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:5J4DEJZW4G3RR7ZUYGXNV2UDI2","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":"152a2f34559ffcd045757e80d1d025076efac371aa12fcb37cfa1de7d0ed63a1","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-27T17:11:36Z","title_canon_sha256":"a8f6b6a89c2c0628a99f4c1f72e5b361ca3acc65533cf3e436c886018e6793c6"},"schema_version":"1.0","source":{"id":"1807.05062","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05062","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05062v2","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05062","created_at":"2026-05-18T00:07:17Z"},{"alias_kind":"pith_short_12","alias_value":"5J4DEJZW4G3R","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_16","alias_value":"5J4DEJZW4G3RR7ZU","created_at":"2026-05-18T12:32:08Z"},{"alias_kind":"pith_short_8","alias_value":"5J4DEJZW","created_at":"2026-05-18T12:32:08Z"}],"graph_snapshots":[{"event_id":"sha256:44fa713aac5e536fe1afa9b827cfa8ca4b71d40af4cbcf79a43f9a51cdcd7740","target":"graph","created_at":"2026-05-18T00:07:17Z","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":"In this paper, we present the results of our investigation relating particle dynamics and non-commutativity of space-time by using Dirac's constraint analysis. In this study, we re-parameterise the time $t=t(\\tau)$ along with $x=x(\\tau)$ and treat both as configuration space variables. Here, $\\tau$ is a monotonic increasing parameter and the system evolves with this parameter. After constraint analysis, we find the deformed Dirac brackets similar to the $\\kappa$-deformed space-time and also, get the deformed Hamilton's equations of motion. Moreover, we study the effect of non-commutativity on ","authors_text":"Partha Nandi, Ravikant Verma, Sayan Kumar Pal","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-27T17:11:36Z","title":"Particle Dynamics and Lie-algebraic type of Non-commutativity of space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05062","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:c3a4f53d435f1c3d797f46ba20d820028037238a537cbb499bf2b45b8defffd3","target":"record","created_at":"2026-05-18T00:07:17Z","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":"152a2f34559ffcd045757e80d1d025076efac371aa12fcb37cfa1de7d0ed63a1","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2018-06-27T17:11:36Z","title_canon_sha256":"a8f6b6a89c2c0628a99f4c1f72e5b361ca3acc65533cf3e436c886018e6793c6"},"schema_version":"1.0","source":{"id":"1807.05062","kind":"arxiv","version":2}},"canonical_sha256":"ea78322736e1b718ff34c1aedaea8346b9b3fd13433aded5bdbd62742f978ada","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ea78322736e1b718ff34c1aedaea8346b9b3fd13433aded5bdbd62742f978ada","first_computed_at":"2026-05-18T00:07:17.202873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:17.202873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sL/kja9lriAIph8YXwEKb59Ra7RK++HLDI85bVbibE4//qWllH+wrzmo+roir+1goqNFDDQA8p3BCuY89dpNCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:17.203661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05062","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3a4f53d435f1c3d797f46ba20d820028037238a537cbb499bf2b45b8defffd3","sha256:44fa713aac5e536fe1afa9b827cfa8ca4b71d40af4cbcf79a43f9a51cdcd7740"],"state_sha256":"7d34a9bafd477cb81a39966879d7e436d204873454571a34efc81907b2f02db9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ondZV/gMq6jC0WQdeCETAsJfNqL1ildFHwHYxkdUDdKF0QhiqBE18TWh0na78mE/ld5GBuJzusxiQlQ9l6nBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T21:48:11.887875Z","bundle_sha256":"e6e967ab7aa1277803e2fc30a815108d45a0980984ad12f1e804a3613b9b5693"}}