{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:VMCOPVK4SMV3YDPUQO43EMJ3JM","short_pith_number":"pith:VMCOPVK4","canonical_record":{"source":{"id":"0711.2693","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.gen-ph","submitted_at":"2007-11-16T22:39:32Z","cross_cats_sorted":[],"title_canon_sha256":"d02afb2353a26adfda4cd035bc2d2e7937f11ef268a269656903bf7ee83a79e7","abstract_canon_sha256":"626481029fed01ea77664cbdca1307573f912a7cd8bcefcd7c4dc8c9ac20a1ea"},"schema_version":"1.0"},"canonical_sha256":"ab04e7d55c932bbc0df483b9b2313b4b0a4a598b4e7bb052bdcdfa3d7d75c91a","source":{"kind":"arxiv","id":"0711.2693","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.2693","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"0711.2693v2","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.2693","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"VMCOPVK4SMV3","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"VMCOPVK4SMV3YDPU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"VMCOPVK4","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:VMCOPVK4SMV3YDPUQO43EMJ3JM","target":"record","payload":{"canonical_record":{"source":{"id":"0711.2693","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.gen-ph","submitted_at":"2007-11-16T22:39:32Z","cross_cats_sorted":[],"title_canon_sha256":"d02afb2353a26adfda4cd035bc2d2e7937f11ef268a269656903bf7ee83a79e7","abstract_canon_sha256":"626481029fed01ea77664cbdca1307573f912a7cd8bcefcd7c4dc8c9ac20a1ea"},"schema_version":"1.0"},"canonical_sha256":"ab04e7d55c932bbc0df483b9b2313b4b0a4a598b4e7bb052bdcdfa3d7d75c91a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:04.623701Z","signature_b64":"FTgWmiN9S7QwjMl+B9GK1W8J9iy4cvpIdNt4IE7fxsc5lvH836KvbuzNd/LX8hcm44MZKr8XQ1gg227x8xDDDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab04e7d55c932bbc0df483b9b2313b4b0a4a598b4e7bb052bdcdfa3d7d75c91a","last_reissued_at":"2026-05-18T04:09:04.622958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:04.622958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0711.2693","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":"2026-05-18T04:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6lEr5VJZI7j4rSsSmA4W+RWV5zOHFC9PO+gHm0CJSY5R1uFyXarHcuY+g3F2gUjaLd1G72dX/g+yZj06paipAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:37:09.653396Z"},"content_sha256":"feacc7a399178750f00de23aadf001d915aaf138dc672c2b0b8e3f7997d4aba5","schema_version":"1.0","event_id":"sha256:feacc7a399178750f00de23aadf001d915aaf138dc672c2b0b8e3f7997d4aba5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:VMCOPVK4SMV3YDPUQO43EMJ3JM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Transformation equations for the kinetic energy of the same particle: Filling the gap in special relativity literature","license":"","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Bernhard Rothenstein, Doru Paunescu","submitted_at":"2007-11-16T22:39:32Z","abstract_excerpt":"Transformation equations for the kinetic energy of a tardyon are derived in the limits of classical and of special relativity theory. Two formulas are presented. In the first one the energy of the particle in one of the involved reference frames is presented as a function of its proper energy, of the relative velocity of the two frames and of its speed in the second one. In the second one the kinetic energy in one of the involved reference frames is expressed as a function of its kinetic energy in the second one of its proper energy, of the relative velocity of the involved inertial reference "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.2693","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":"2026-05-18T04:09:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DOMVQ1yEM13Z55hMQuN6ET6SU1fPviq5k18L52FQiP8Kb7GhTJo8l6zsJ39hViELRJTrk6nFoCsVTsRDLFkcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:37:09.654068Z"},"content_sha256":"6e8000457199e79b4749c23162a176bb5d27821ca5ae25212024d90e6636fac0","schema_version":"1.0","event_id":"sha256:6e8000457199e79b4749c23162a176bb5d27821ca5ae25212024d90e6636fac0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VMCOPVK4SMV3YDPUQO43EMJ3JM/bundle.json","state_url":"https://pith.science/pith/VMCOPVK4SMV3YDPUQO43EMJ3JM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VMCOPVK4SMV3YDPUQO43EMJ3JM/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":"2026-05-26T07:37:09Z","links":{"resolver":"https://pith.science/pith/VMCOPVK4SMV3YDPUQO43EMJ3JM","bundle":"https://pith.science/pith/VMCOPVK4SMV3YDPUQO43EMJ3JM/bundle.json","state":"https://pith.science/pith/VMCOPVK4SMV3YDPUQO43EMJ3JM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VMCOPVK4SMV3YDPUQO43EMJ3JM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:VMCOPVK4SMV3YDPUQO43EMJ3JM","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":"626481029fed01ea77664cbdca1307573f912a7cd8bcefcd7c4dc8c9ac20a1ea","cross_cats_sorted":[],"license":"","primary_cat":"physics.gen-ph","submitted_at":"2007-11-16T22:39:32Z","title_canon_sha256":"d02afb2353a26adfda4cd035bc2d2e7937f11ef268a269656903bf7ee83a79e7"},"schema_version":"1.0","source":{"id":"0711.2693","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0711.2693","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"arxiv_version","alias_value":"0711.2693v2","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0711.2693","created_at":"2026-05-18T04:09:04Z"},{"alias_kind":"pith_short_12","alias_value":"VMCOPVK4SMV3","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"VMCOPVK4SMV3YDPU","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"VMCOPVK4","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:6e8000457199e79b4749c23162a176bb5d27821ca5ae25212024d90e6636fac0","target":"graph","created_at":"2026-05-18T04:09:04Z","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":"Transformation equations for the kinetic energy of a tardyon are derived in the limits of classical and of special relativity theory. Two formulas are presented. In the first one the energy of the particle in one of the involved reference frames is presented as a function of its proper energy, of the relative velocity of the two frames and of its speed in the second one. In the second one the kinetic energy in one of the involved reference frames is expressed as a function of its kinetic energy in the second one of its proper energy, of the relative velocity of the involved inertial reference ","authors_text":"Bernhard Rothenstein, Doru Paunescu","cross_cats":[],"headline":"","license":"","primary_cat":"physics.gen-ph","submitted_at":"2007-11-16T22:39:32Z","title":"Transformation equations for the kinetic energy of the same particle: Filling the gap in special relativity literature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0711.2693","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:feacc7a399178750f00de23aadf001d915aaf138dc672c2b0b8e3f7997d4aba5","target":"record","created_at":"2026-05-18T04:09:04Z","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":"626481029fed01ea77664cbdca1307573f912a7cd8bcefcd7c4dc8c9ac20a1ea","cross_cats_sorted":[],"license":"","primary_cat":"physics.gen-ph","submitted_at":"2007-11-16T22:39:32Z","title_canon_sha256":"d02afb2353a26adfda4cd035bc2d2e7937f11ef268a269656903bf7ee83a79e7"},"schema_version":"1.0","source":{"id":"0711.2693","kind":"arxiv","version":2}},"canonical_sha256":"ab04e7d55c932bbc0df483b9b2313b4b0a4a598b4e7bb052bdcdfa3d7d75c91a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab04e7d55c932bbc0df483b9b2313b4b0a4a598b4e7bb052bdcdfa3d7d75c91a","first_computed_at":"2026-05-18T04:09:04.622958Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:09:04.622958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FTgWmiN9S7QwjMl+B9GK1W8J9iy4cvpIdNt4IE7fxsc5lvH836KvbuzNd/LX8hcm44MZKr8XQ1gg227x8xDDDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:09:04.623701Z","signed_message":"canonical_sha256_bytes"},"source_id":"0711.2693","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:feacc7a399178750f00de23aadf001d915aaf138dc672c2b0b8e3f7997d4aba5","sha256:6e8000457199e79b4749c23162a176bb5d27821ca5ae25212024d90e6636fac0"],"state_sha256":"8afb07af8a38afdfb5a726a810a6bd04dbd5fd6fdb86f75b5b9b121c524c55ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"13MwjVYwc+trVqABx2SKchOZ7z/dLSEaomcVt0J4M+UGGL6Ap/H1CPjtJDMKv7nZFeJqWmCedeyvZ/P1xu4vAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:37:09.657980Z","bundle_sha256":"26646d4ed09160a7da99ef128ee74975aed72032402bf6843a5fa3a64c0814bd"}}