{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:S5A5Q3P7CS43Q533ZCDLYLTBZE","short_pith_number":"pith:S5A5Q3P7","canonical_record":{"source":{"id":"1201.1826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-09T16:21:53Z","cross_cats_sorted":["math.MP","physics.class-ph"],"title_canon_sha256":"9f97730c49623504c73a89b8677ac2232e9df83c6ae33d2cdc1f67d709f06ebf","abstract_canon_sha256":"c241e5d7b285459d79ce99a50327968917f1b5ea3aaa925633b998f49e1f4b72"},"schema_version":"1.0"},"canonical_sha256":"9741d86dff14b9b8777bc886bc2e61c91ab10e438f74f204370af2c60ef69ddf","source":{"kind":"arxiv","id":"1201.1826","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1826","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1826v1","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1826","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"S5A5Q3P7CS43","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"S5A5Q3P7CS43Q533","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"S5A5Q3P7","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:S5A5Q3P7CS43Q533ZCDLYLTBZE","target":"record","payload":{"canonical_record":{"source":{"id":"1201.1826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-09T16:21:53Z","cross_cats_sorted":["math.MP","physics.class-ph"],"title_canon_sha256":"9f97730c49623504c73a89b8677ac2232e9df83c6ae33d2cdc1f67d709f06ebf","abstract_canon_sha256":"c241e5d7b285459d79ce99a50327968917f1b5ea3aaa925633b998f49e1f4b72"},"schema_version":"1.0"},"canonical_sha256":"9741d86dff14b9b8777bc886bc2e61c91ab10e438f74f204370af2c60ef69ddf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:55.632632Z","signature_b64":"Xp3EAQZ6FQzGQoqlArLeJcgmyY+6zbio8z0L79+62BKnlQQh5GLts3w1YxNrY+vMvKYJG0IcDCSwlsy+JsRtAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9741d86dff14b9b8777bc886bc2e61c91ab10e438f74f204370af2c60ef69ddf","last_reissued_at":"2026-05-18T04:04:55.631914Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:55.631914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.1826","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":"2026-05-18T04:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tvDzxPwDHM2TcW1wOqI8cTBmD64WswwPXpTv+YPkIyD2xk83/ibUEGqfliKRWAwtJkUJ/N5ED2dpcDy25EKXBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:43:59.120859Z"},"content_sha256":"dc4daa61972a009ae8d001ac09789f80c489ff64eddbe71dfcab9e57344c36a6","schema_version":"1.0","event_id":"sha256:dc4daa61972a009ae8d001ac09789f80c489ff64eddbe71dfcab9e57344c36a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:S5A5Q3P7CS43Q533ZCDLYLTBZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonian structure of classical N-body systems of finite-size particles subject to EM interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.class-ph"],"primary_cat":"math-ph","authors_text":"Claudio Cremaschini, Massimo Tessarotto","submitted_at":"2012-01-09T16:21:53Z","abstract_excerpt":"An open issue in classical relativistic mechanics is the consistent treatment of the dynamics of classical $N$-body systems of mutually-interacting particles. This refers, in particular, to charged particles subject to EM interactions, including both binary and self interactions (EM-interacting $N$-body systems). In this paper it is shown that such a description can be consistently obtained in the context of classical electrodynamics, for the case of a $N$-body system of classical finite-size charged particles. A variational formulation of the problem is presented, based on the $N$-body hybrid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1826","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":"2026-05-18T04:04:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hWrlkC5ko1s4en9dWnwx8iwIB62aVnl0BDuaiBw7PcSygkomoC5YBHVSvkB29vyU7NF827pm2l3yPzMklbmECg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:43:59.121207Z"},"content_sha256":"bfc23fdb04093a1b59da8fe89580246a7a8c33fa8f28a59beb923837f5681891","schema_version":"1.0","event_id":"sha256:bfc23fdb04093a1b59da8fe89580246a7a8c33fa8f28a59beb923837f5681891"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S5A5Q3P7CS43Q533ZCDLYLTBZE/bundle.json","state_url":"https://pith.science/pith/S5A5Q3P7CS43Q533ZCDLYLTBZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S5A5Q3P7CS43Q533ZCDLYLTBZE/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":"2026-06-03T04:43:59Z","links":{"resolver":"https://pith.science/pith/S5A5Q3P7CS43Q533ZCDLYLTBZE","bundle":"https://pith.science/pith/S5A5Q3P7CS43Q533ZCDLYLTBZE/bundle.json","state":"https://pith.science/pith/S5A5Q3P7CS43Q533ZCDLYLTBZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S5A5Q3P7CS43Q533ZCDLYLTBZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:S5A5Q3P7CS43Q533ZCDLYLTBZE","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":"c241e5d7b285459d79ce99a50327968917f1b5ea3aaa925633b998f49e1f4b72","cross_cats_sorted":["math.MP","physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-09T16:21:53Z","title_canon_sha256":"9f97730c49623504c73a89b8677ac2232e9df83c6ae33d2cdc1f67d709f06ebf"},"schema_version":"1.0","source":{"id":"1201.1826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1826","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1826v1","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1826","created_at":"2026-05-18T04:04:55Z"},{"alias_kind":"pith_short_12","alias_value":"S5A5Q3P7CS43","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"S5A5Q3P7CS43Q533","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"S5A5Q3P7","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:bfc23fdb04093a1b59da8fe89580246a7a8c33fa8f28a59beb923837f5681891","target":"graph","created_at":"2026-05-18T04:04:55Z","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":"An open issue in classical relativistic mechanics is the consistent treatment of the dynamics of classical $N$-body systems of mutually-interacting particles. This refers, in particular, to charged particles subject to EM interactions, including both binary and self interactions (EM-interacting $N$-body systems). In this paper it is shown that such a description can be consistently obtained in the context of classical electrodynamics, for the case of a $N$-body system of classical finite-size charged particles. A variational formulation of the problem is presented, based on the $N$-body hybrid","authors_text":"Claudio Cremaschini, Massimo Tessarotto","cross_cats":["math.MP","physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-09T16:21:53Z","title":"Hamiltonian structure of classical N-body systems of finite-size particles subject to EM interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1826","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:dc4daa61972a009ae8d001ac09789f80c489ff64eddbe71dfcab9e57344c36a6","target":"record","created_at":"2026-05-18T04:04:55Z","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":"c241e5d7b285459d79ce99a50327968917f1b5ea3aaa925633b998f49e1f4b72","cross_cats_sorted":["math.MP","physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-01-09T16:21:53Z","title_canon_sha256":"9f97730c49623504c73a89b8677ac2232e9df83c6ae33d2cdc1f67d709f06ebf"},"schema_version":"1.0","source":{"id":"1201.1826","kind":"arxiv","version":1}},"canonical_sha256":"9741d86dff14b9b8777bc886bc2e61c91ab10e438f74f204370af2c60ef69ddf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9741d86dff14b9b8777bc886bc2e61c91ab10e438f74f204370af2c60ef69ddf","first_computed_at":"2026-05-18T04:04:55.631914Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:55.631914Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Xp3EAQZ6FQzGQoqlArLeJcgmyY+6zbio8z0L79+62BKnlQQh5GLts3w1YxNrY+vMvKYJG0IcDCSwlsy+JsRtAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:55.632632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc4daa61972a009ae8d001ac09789f80c489ff64eddbe71dfcab9e57344c36a6","sha256:bfc23fdb04093a1b59da8fe89580246a7a8c33fa8f28a59beb923837f5681891"],"state_sha256":"ed41bd9bdedad46c5617a9e983457b227eb331e04e3a9b7a73964d66061ddd20"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DuBsvO35zNNMI9PbQz0cDPxjFjx5bTBhPhW680LLUVIA18s0ffu6ObYsuSwxx0Ya6rhfVIhpUopcv6zzbKpLDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:43:59.123204Z","bundle_sha256":"b5c07bafb6ee9fca1a293cab200d7bb23ecbc2eca1cfe52ddaa5f6016cd72a77"}}