{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JVHI7AE36JLZTQVHKQWTB7VGNA","short_pith_number":"pith:JVHI7AE3","canonical_record":{"source":{"id":"1411.0694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2014-10-27T15:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"7709c4ad7a222da508298ae8196a7076492b8e462bfa3576af2c3fa1005e519b","abstract_canon_sha256":"2b209aeecba7376cb2f7bb07eb06d439494fabeeb6d16eee26f2d828e0d2d601"},"schema_version":"1.0"},"canonical_sha256":"4d4e8f809bf25799c2a7542d30fea6683e3017da1fa4cce72ea4352c448baef6","source":{"kind":"arxiv","id":"1411.0694","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0694","created_at":"2026-05-18T02:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0694v1","created_at":"2026-05-18T02:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0694","created_at":"2026-05-18T02:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"JVHI7AE36JLZ","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JVHI7AE36JLZTQVH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JVHI7AE3","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JVHI7AE36JLZTQVHKQWTB7VGNA","target":"record","payload":{"canonical_record":{"source":{"id":"1411.0694","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2014-10-27T15:53:13Z","cross_cats_sorted":[],"title_canon_sha256":"7709c4ad7a222da508298ae8196a7076492b8e462bfa3576af2c3fa1005e519b","abstract_canon_sha256":"2b209aeecba7376cb2f7bb07eb06d439494fabeeb6d16eee26f2d828e0d2d601"},"schema_version":"1.0"},"canonical_sha256":"4d4e8f809bf25799c2a7542d30fea6683e3017da1fa4cce72ea4352c448baef6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:38.426774Z","signature_b64":"78Vw8KpXYeeIpY+xRjV69gwdCzBcmsFr5eKmYkALi6wrZcXZO1/DWauGybKFM9iVwMTd1ow9PqtAJyAprhvHBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d4e8f809bf25799c2a7542d30fea6683e3017da1fa4cce72ea4352c448baef6","last_reissued_at":"2026-05-18T02:38:38.426340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:38.426340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.0694","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":"2026-05-18T02:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Er7cg46HNqN3ui+97QweVpiCaNesXoEqLlc5HQMpZD73iuJHVz8D1CAO0yUUjFk3QOqw4TZlI9w5Y9pcSXLnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:34:47.877733Z"},"content_sha256":"f4842b907580a6586c4e6026dac3be5e8eb658934160486e9be1f09e04e9e786","schema_version":"1.0","event_id":"sha256:f4842b907580a6586c4e6026dac3be5e8eb658934160486e9be1f09e04e9e786"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JVHI7AE36JLZTQVHKQWTB7VGNA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Friction of spheres on a rotating parabolic support","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.ed-ph","authors_text":"Alexis Soulier, S\\'ebastien Auma\\^itre","submitted_at":"2014-10-27T15:53:13Z","abstract_excerpt":"This article illustrates the role of friction on the motion of a rolling sphere on pedagogical example. We use a parabolic support rotating around it axis to study the static equilibrium positions of a single sphere. Due to the particular choice of the shape of support, some easy analytical calculations allow theoretical predictions. (i) In the frictionless case, there is an eigen frequency of rotation where the gravity balances the centrifugal force. All positions on the parabola are therefore in static equilibrium. At others rates of rotation, the sphere can go to the center or escape to inf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0694","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":"2026-05-18T02:38:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RT1W4V3wRFkag6UwkRF9tCN+DQuOeIPrCgbdCsXYp8c0w36OPlm2JkkZ/4029YizxFmjo6rfj+yVoWJTORKjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T12:34:47.878077Z"},"content_sha256":"598aabca742c5cf360f9f0a61ac400d25fe185701d8c7eb8cc07045d3487361c","schema_version":"1.0","event_id":"sha256:598aabca742c5cf360f9f0a61ac400d25fe185701d8c7eb8cc07045d3487361c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JVHI7AE36JLZTQVHKQWTB7VGNA/bundle.json","state_url":"https://pith.science/pith/JVHI7AE36JLZTQVHKQWTB7VGNA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JVHI7AE36JLZTQVHKQWTB7VGNA/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":"2026-06-24T12:34:47Z","links":{"resolver":"https://pith.science/pith/JVHI7AE36JLZTQVHKQWTB7VGNA","bundle":"https://pith.science/pith/JVHI7AE36JLZTQVHKQWTB7VGNA/bundle.json","state":"https://pith.science/pith/JVHI7AE36JLZTQVHKQWTB7VGNA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JVHI7AE36JLZTQVHKQWTB7VGNA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JVHI7AE36JLZTQVHKQWTB7VGNA","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":"2b209aeecba7376cb2f7bb07eb06d439494fabeeb6d16eee26f2d828e0d2d601","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2014-10-27T15:53:13Z","title_canon_sha256":"7709c4ad7a222da508298ae8196a7076492b8e462bfa3576af2c3fa1005e519b"},"schema_version":"1.0","source":{"id":"1411.0694","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.0694","created_at":"2026-05-18T02:38:38Z"},{"alias_kind":"arxiv_version","alias_value":"1411.0694v1","created_at":"2026-05-18T02:38:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.0694","created_at":"2026-05-18T02:38:38Z"},{"alias_kind":"pith_short_12","alias_value":"JVHI7AE36JLZ","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JVHI7AE36JLZTQVH","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JVHI7AE3","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:598aabca742c5cf360f9f0a61ac400d25fe185701d8c7eb8cc07045d3487361c","target":"graph","created_at":"2026-05-18T02:38:38Z","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":"This article illustrates the role of friction on the motion of a rolling sphere on pedagogical example. We use a parabolic support rotating around it axis to study the static equilibrium positions of a single sphere. Due to the particular choice of the shape of support, some easy analytical calculations allow theoretical predictions. (i) In the frictionless case, there is an eigen frequency of rotation where the gravity balances the centrifugal force. All positions on the parabola are therefore in static equilibrium. At others rates of rotation, the sphere can go to the center or escape to inf","authors_text":"Alexis Soulier, S\\'ebastien Auma\\^itre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2014-10-27T15:53:13Z","title":"Friction of spheres on a rotating parabolic support"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.0694","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:f4842b907580a6586c4e6026dac3be5e8eb658934160486e9be1f09e04e9e786","target":"record","created_at":"2026-05-18T02:38:38Z","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":"2b209aeecba7376cb2f7bb07eb06d439494fabeeb6d16eee26f2d828e0d2d601","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.ed-ph","submitted_at":"2014-10-27T15:53:13Z","title_canon_sha256":"7709c4ad7a222da508298ae8196a7076492b8e462bfa3576af2c3fa1005e519b"},"schema_version":"1.0","source":{"id":"1411.0694","kind":"arxiv","version":1}},"canonical_sha256":"4d4e8f809bf25799c2a7542d30fea6683e3017da1fa4cce72ea4352c448baef6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d4e8f809bf25799c2a7542d30fea6683e3017da1fa4cce72ea4352c448baef6","first_computed_at":"2026-05-18T02:38:38.426340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:38:38.426340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"78Vw8KpXYeeIpY+xRjV69gwdCzBcmsFr5eKmYkALi6wrZcXZO1/DWauGybKFM9iVwMTd1ow9PqtAJyAprhvHBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:38:38.426774Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.0694","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f4842b907580a6586c4e6026dac3be5e8eb658934160486e9be1f09e04e9e786","sha256:598aabca742c5cf360f9f0a61ac400d25fe185701d8c7eb8cc07045d3487361c"],"state_sha256":"6ac12d877ccefa6c8c3d9969a11c5295d68071f621b51efbc0bc2d4e82f9b412"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hBhjx/XTmDYQpAb5CA3t4aG1jQzxDBJS7klM7j3HDccdjZ392dd4TiIoWSQbBlJvRRTyPewdbF9k9wGwOtLLCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T12:34:47.880211Z","bundle_sha256":"36bd3543990374bc326a0c6072910548d482b798917e2625c8c2bddaea8345c7"}}