{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:CFL5ZZGT5YLGTVEK6EVN26MLOL","short_pith_number":"pith:CFL5ZZGT","canonical_record":{"source":{"id":"1104.3243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-16T14:38:56Z","cross_cats_sorted":[],"title_canon_sha256":"9a6adfb9b1dad8b65b7a48d872d5b86e975fb985b28bb7acc9570c1e5959a811","abstract_canon_sha256":"e3620a37d6cba3877a66a0e00a5732d676768b17674f202a346e46c83844bba0"},"schema_version":"1.0"},"canonical_sha256":"1157dce4d3ee1669d48af12add798b72c42d87780ec1a75dc2292871764c6649","source":{"kind":"arxiv","id":"1104.3243","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3243","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3243v1","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3243","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"CFL5ZZGT5YLG","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CFL5ZZGT5YLGTVEK","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CFL5ZZGT","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:CFL5ZZGT5YLGTVEK6EVN26MLOL","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-16T14:38:56Z","cross_cats_sorted":[],"title_canon_sha256":"9a6adfb9b1dad8b65b7a48d872d5b86e975fb985b28bb7acc9570c1e5959a811","abstract_canon_sha256":"e3620a37d6cba3877a66a0e00a5732d676768b17674f202a346e46c83844bba0"},"schema_version":"1.0"},"canonical_sha256":"1157dce4d3ee1669d48af12add798b72c42d87780ec1a75dc2292871764c6649","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:00.472349Z","signature_b64":"B6YmrHMFv+ttmZ9ELYD2DQ4KQy9usL1/ZwVomEZuDvEOYo6a3U0XcF3kmy3pLimyOBMc+CLR4aVUtj5VD8diBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1157dce4d3ee1669d48af12add798b72c42d87780ec1a75dc2292871764c6649","last_reissued_at":"2026-05-18T04:22:00.471954Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:00.471954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3243","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bm89t17utFOTXz8MdU/DhMMgF6nDlynbP2fA6WpQNW8Pv2beJwK/YVEqwkkdWDhExCmk3pC2JlQfc6lKU5AKBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:55:30.947461Z"},"content_sha256":"3fbb0a30ef4326d0adf1deb1d2a04898f5b931d8616bfd1d92ae70bae30eed4a","schema_version":"1.0","event_id":"sha256:3fbb0a30ef4326d0adf1deb1d2a04898f5b931d8616bfd1d92ae70bae30eed4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:CFL5ZZGT5YLGTVEK6EVN26MLOL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cezary J. Walczyk, Marcin Daszkiewicz","submitted_at":"2011-04-16T14:38:56Z","abstract_excerpt":"We provide the classical mechanics of many particles moving in canonically twist-deformed space-time. In particular, we consider two examples of such noncommutative systems - the set of N particles moving in gravitational field as well as the system of N interacting harmonic oscillators."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3243","kind":"arxiv","version":1},"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":"2026-05-18T04:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"65y28UxqZvObQosFX6zQVKdTSjdvZCNxsbAAWTfKjw9XcbEFZFjhHaM5Gshss9UsujylMdpvXe23K50tD/nSDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:55:30.947794Z"},"content_sha256":"21573f6626c769efd370c8fd7cc7580856152edbcffa7ac68967c25b823d2b68","schema_version":"1.0","event_id":"sha256:21573f6626c769efd370c8fd7cc7580856152edbcffa7ac68967c25b823d2b68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CFL5ZZGT5YLGTVEK6EVN26MLOL/bundle.json","state_url":"https://pith.science/pith/CFL5ZZGT5YLGTVEK6EVN26MLOL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CFL5ZZGT5YLGTVEK6EVN26MLOL/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":"2026-06-02T03:55:30Z","links":{"resolver":"https://pith.science/pith/CFL5ZZGT5YLGTVEK6EVN26MLOL","bundle":"https://pith.science/pith/CFL5ZZGT5YLGTVEK6EVN26MLOL/bundle.json","state":"https://pith.science/pith/CFL5ZZGT5YLGTVEK6EVN26MLOL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CFL5ZZGT5YLGTVEK6EVN26MLOL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:CFL5ZZGT5YLGTVEK6EVN26MLOL","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":"e3620a37d6cba3877a66a0e00a5732d676768b17674f202a346e46c83844bba0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-16T14:38:56Z","title_canon_sha256":"9a6adfb9b1dad8b65b7a48d872d5b86e975fb985b28bb7acc9570c1e5959a811"},"schema_version":"1.0","source":{"id":"1104.3243","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3243","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3243v1","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3243","created_at":"2026-05-18T04:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"CFL5ZZGT5YLG","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"CFL5ZZGT5YLGTVEK","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"CFL5ZZGT","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:21573f6626c769efd370c8fd7cc7580856152edbcffa7ac68967c25b823d2b68","target":"graph","created_at":"2026-05-18T04:22:00Z","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 provide the classical mechanics of many particles moving in canonically twist-deformed space-time. In particular, we consider two examples of such noncommutative systems - the set of N particles moving in gravitational field as well as the system of N interacting harmonic oscillators.","authors_text":"Cezary J. Walczyk, Marcin Daszkiewicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-16T14:38:56Z","title":"Classical mechanics of many particles defined on canonically deformed nonrelativistic space-time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3243","kind":"arxiv","version":1},"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":"sha256:3fbb0a30ef4326d0adf1deb1d2a04898f5b931d8616bfd1d92ae70bae30eed4a","target":"record","created_at":"2026-05-18T04:22:00Z","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":"e3620a37d6cba3877a66a0e00a5732d676768b17674f202a346e46c83844bba0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-16T14:38:56Z","title_canon_sha256":"9a6adfb9b1dad8b65b7a48d872d5b86e975fb985b28bb7acc9570c1e5959a811"},"schema_version":"1.0","source":{"id":"1104.3243","kind":"arxiv","version":1}},"canonical_sha256":"1157dce4d3ee1669d48af12add798b72c42d87780ec1a75dc2292871764c6649","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1157dce4d3ee1669d48af12add798b72c42d87780ec1a75dc2292871764c6649","first_computed_at":"2026-05-18T04:22:00.471954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:00.471954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B6YmrHMFv+ttmZ9ELYD2DQ4KQy9usL1/ZwVomEZuDvEOYo6a3U0XcF3kmy3pLimyOBMc+CLR4aVUtj5VD8diBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:00.472349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3243","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fbb0a30ef4326d0adf1deb1d2a04898f5b931d8616bfd1d92ae70bae30eed4a","sha256:21573f6626c769efd370c8fd7cc7580856152edbcffa7ac68967c25b823d2b68"],"state_sha256":"067a593f178cb451681439b582ae633b0434575945fd5f187c43567748f6255d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RcDo0iDC0Ej6fqGZk74ig5ht7y5gw12zMOtY+V1DLVjzaBZG98E/Q2Mk+iHZnh9+16K2JWByTPLpoDpeVCAVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:55:30.949728Z","bundle_sha256":"a9c0cb38e7cfbae63f8cc2285967b0963c78794fa1da9e8ca28a9d1bc0df284f"}}