{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WUUIG2M3G3KA5DJ77Y5UPXJWUK","short_pith_number":"pith:WUUIG2M3","canonical_record":{"source":{"id":"1806.09271","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-06-25T03:23:51Z","cross_cats_sorted":[],"title_canon_sha256":"4e4f9db90d752c66570dff409599c96e61761bc55978430549889b5989715173","abstract_canon_sha256":"91e842e5de2f24bc34496d877ce098eb59e4b017521aab7de157847302872230"},"schema_version":"1.0"},"canonical_sha256":"b52883699b36d40e8d3ffe3b47dd36a2a1c2ce96010414d5538badfce288a06c","source":{"kind":"arxiv","id":"1806.09271","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09271","created_at":"2026-05-18T00:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09271v2","created_at":"2026-05-18T00:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09271","created_at":"2026-05-18T00:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"WUUIG2M3G3KA","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WUUIG2M3G3KA5DJ7","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WUUIG2M3","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WUUIG2M3G3KA5DJ77Y5UPXJWUK","target":"record","payload":{"canonical_record":{"source":{"id":"1806.09271","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-06-25T03:23:51Z","cross_cats_sorted":[],"title_canon_sha256":"4e4f9db90d752c66570dff409599c96e61761bc55978430549889b5989715173","abstract_canon_sha256":"91e842e5de2f24bc34496d877ce098eb59e4b017521aab7de157847302872230"},"schema_version":"1.0"},"canonical_sha256":"b52883699b36d40e8d3ffe3b47dd36a2a1c2ce96010414d5538badfce288a06c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:23.991484Z","signature_b64":"nBx3jX0VKOYxGvSboDcBpuqbAsP59N9JuGBp63e4ViWO12En3Ps1tLo+N27v711/hvsKCQW5nVZckgLO93TSDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b52883699b36d40e8d3ffe3b47dd36a2a1c2ce96010414d5538badfce288a06c","last_reissued_at":"2026-05-18T00:12:23.990817Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:23.990817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.09271","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":"2026-05-18T00:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aJskGWNYkmK/fx3aOVUOZShOP97Ag8ThDyV7wrfEu4oZrALjNbayqfOL93W5azxs0P8BsZDj183mfTlthMnjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T00:59:51.473098Z"},"content_sha256":"3c8b47152d0864fef89342ce48dacc9aaca1cd5b2d0fd00efd8bfd0fee71450d","schema_version":"1.0","event_id":"sha256:3c8b47152d0864fef89342ce48dacc9aaca1cd5b2d0fd00efd8bfd0fee71450d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WUUIG2M3G3KA5DJ77Y5UPXJWUK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comment on \"A Nonholonomic Model of the Paul Trap\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.class-ph","authors_text":"Li Du, Sihui Wang, Wenkai Fan","submitted_at":"2018-06-25T03:23:51Z","abstract_excerpt":"A recent article by Borisov et al. [Regular and Chaotic Dynamics 23.3 (2018): 339-354.] studies the motion of a rigid ball in a rotating-saddle trap. The authors claim that they derive a new equation of motion from the Lagrangian formalism, which is different from the one we obtained from the Newtonian formalism in our recent work [American Journal of Physics 85.11 (2017): 821-829.]. We show here that these two equations of motion are the same. In addition, besides the reduced spin frequency and the moment of inertia coefficient, the stability condition given by the article is independent of t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09271","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":"2026-05-18T00:12:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FOMtMPZRizm5XSsrimFWirl1EqlDbnu1AnS3n4r3U82unBdUo1tesyWdMF1mg+0KEdjuA1t7WQ/H1h47HNiHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T00:59:51.473461Z"},"content_sha256":"1530f2907e5650f91295ebc0bf3c2eea5eb705ace8f6c89c0ba9450923f646b8","schema_version":"1.0","event_id":"sha256:1530f2907e5650f91295ebc0bf3c2eea5eb705ace8f6c89c0ba9450923f646b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WUUIG2M3G3KA5DJ77Y5UPXJWUK/bundle.json","state_url":"https://pith.science/pith/WUUIG2M3G3KA5DJ77Y5UPXJWUK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WUUIG2M3G3KA5DJ77Y5UPXJWUK/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":"2026-06-21T00:59:51Z","links":{"resolver":"https://pith.science/pith/WUUIG2M3G3KA5DJ77Y5UPXJWUK","bundle":"https://pith.science/pith/WUUIG2M3G3KA5DJ77Y5UPXJWUK/bundle.json","state":"https://pith.science/pith/WUUIG2M3G3KA5DJ77Y5UPXJWUK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WUUIG2M3G3KA5DJ77Y5UPXJWUK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WUUIG2M3G3KA5DJ77Y5UPXJWUK","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":"91e842e5de2f24bc34496d877ce098eb59e4b017521aab7de157847302872230","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-06-25T03:23:51Z","title_canon_sha256":"4e4f9db90d752c66570dff409599c96e61761bc55978430549889b5989715173"},"schema_version":"1.0","source":{"id":"1806.09271","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.09271","created_at":"2026-05-18T00:12:23Z"},{"alias_kind":"arxiv_version","alias_value":"1806.09271v2","created_at":"2026-05-18T00:12:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.09271","created_at":"2026-05-18T00:12:23Z"},{"alias_kind":"pith_short_12","alias_value":"WUUIG2M3G3KA","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WUUIG2M3G3KA5DJ7","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WUUIG2M3","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:1530f2907e5650f91295ebc0bf3c2eea5eb705ace8f6c89c0ba9450923f646b8","target":"graph","created_at":"2026-05-18T00:12:23Z","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":"A recent article by Borisov et al. [Regular and Chaotic Dynamics 23.3 (2018): 339-354.] studies the motion of a rigid ball in a rotating-saddle trap. The authors claim that they derive a new equation of motion from the Lagrangian formalism, which is different from the one we obtained from the Newtonian formalism in our recent work [American Journal of Physics 85.11 (2017): 821-829.]. We show here that these two equations of motion are the same. In addition, besides the reduced spin frequency and the moment of inertia coefficient, the stability condition given by the article is independent of t","authors_text":"Li Du, Sihui Wang, Wenkai Fan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-06-25T03:23:51Z","title":"Comment on \"A Nonholonomic Model of the Paul Trap\""},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.09271","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":"sha256:3c8b47152d0864fef89342ce48dacc9aaca1cd5b2d0fd00efd8bfd0fee71450d","target":"record","created_at":"2026-05-18T00:12:23Z","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":"91e842e5de2f24bc34496d877ce098eb59e4b017521aab7de157847302872230","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-06-25T03:23:51Z","title_canon_sha256":"4e4f9db90d752c66570dff409599c96e61761bc55978430549889b5989715173"},"schema_version":"1.0","source":{"id":"1806.09271","kind":"arxiv","version":2}},"canonical_sha256":"b52883699b36d40e8d3ffe3b47dd36a2a1c2ce96010414d5538badfce288a06c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b52883699b36d40e8d3ffe3b47dd36a2a1c2ce96010414d5538badfce288a06c","first_computed_at":"2026-05-18T00:12:23.990817Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:23.990817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nBx3jX0VKOYxGvSboDcBpuqbAsP59N9JuGBp63e4ViWO12En3Ps1tLo+N27v711/hvsKCQW5nVZckgLO93TSDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:23.991484Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.09271","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c8b47152d0864fef89342ce48dacc9aaca1cd5b2d0fd00efd8bfd0fee71450d","sha256:1530f2907e5650f91295ebc0bf3c2eea5eb705ace8f6c89c0ba9450923f646b8"],"state_sha256":"c246dca80c7929e448ee16207c3ea39cd60a5e9b8bc984c25292ed74a102b94e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GL4KgvS6ey8N0PMyC8BDO3i5/FrvNkn2E9QG3O8yJ5azBIN4AR7EReY1nVGsoBKlVl2JiVdJuWVD9SbI059MCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T00:59:51.475279Z","bundle_sha256":"ef5c135dba2e64715fa80a29047a09c59853fbbfba9474689940d2f87e7a87d2"}}