{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:MC7PHCGREKJCWOIX5P4S2TDQYY","short_pith_number":"pith:MC7PHCGR","canonical_record":{"source":{"id":"1406.1125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-04T17:57:57Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"dbf25f1c9c6b79c417a7dccae397b9bf2dff8a2df4575e213e2aecbd0905c703","abstract_canon_sha256":"de5e7fece8322cbfd1df15d959a785abe6a0929818dab9eafb4f288babed3d6a"},"schema_version":"1.0"},"canonical_sha256":"60bef388d122922b3917ebf92d4c70c63b5c5e4203bec05af3bd0365a09c701b","source":{"kind":"arxiv","id":"1406.1125","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1125","created_at":"2026-05-18T02:50:30Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1125v1","created_at":"2026-05-18T02:50:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1125","created_at":"2026-05-18T02:50:30Z"},{"alias_kind":"pith_short_12","alias_value":"MC7PHCGREKJC","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MC7PHCGREKJCWOIX","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MC7PHCGR","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:MC7PHCGREKJCWOIX5P4S2TDQYY","target":"record","payload":{"canonical_record":{"source":{"id":"1406.1125","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-04T17:57:57Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"dbf25f1c9c6b79c417a7dccae397b9bf2dff8a2df4575e213e2aecbd0905c703","abstract_canon_sha256":"de5e7fece8322cbfd1df15d959a785abe6a0929818dab9eafb4f288babed3d6a"},"schema_version":"1.0"},"canonical_sha256":"60bef388d122922b3917ebf92d4c70c63b5c5e4203bec05af3bd0365a09c701b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:50:30.271890Z","signature_b64":"q2fbxwHTaU11tAv+NRrVUQWxWCWBRuKLhNewOppVy3J7nWqHVYcUWf5IKc3fHewQHXLjGgBoQG7ioyUvOGYFBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"60bef388d122922b3917ebf92d4c70c63b5c5e4203bec05af3bd0365a09c701b","last_reissued_at":"2026-05-18T02:50:30.271397Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:50:30.271397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.1125","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":"2026-05-18T02:50:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XQVziIlKhsq7McOj/swGPYGrRwYRcZKvcKcE+hLB7f8x5iarS6++o0JJBMfAaybGTouxbYWE+tn38KAal4bwCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T16:57:07.380404Z"},"content_sha256":"2d1349b22aae17fcba75228eedefcb3abf67ea14d126c3a806f23dc8359714a0","schema_version":"1.0","event_id":"sha256:2d1349b22aae17fcba75228eedefcb3abf67ea14d126c3a806f23dc8359714a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:MC7PHCGREKJCWOIX5P4S2TDQYY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Not-so-simple Pendulum: Balancing a Pencil on its Point","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"nlin.SI","authors_text":"Peter Lynch","submitted_at":"2014-06-04T17:57:57Z","abstract_excerpt":"Does quantum mechanics matter at everyday scales? We generally assume that its consequences are confined to microscopic scales. It would be very surprising if quantum effects were to be manifest in a macroscopic system. This has been claimed for the problem of balancing a pencil on its tip. The claim has also been disputed. We argue that the behaviour of a tipping pencil can be explained by the asymptotic properties of the complete elliptic function, and can be understood in purely classical terms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1125","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":"2026-05-18T02:50:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"icoQcMoNOEd5HWpqtEGu/NBv+TaS/hKFASha0ntGQn4Elfg67SvsusGuZAeshluD/yfO/VczcVaMENF0HC5UAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T16:57:07.380753Z"},"content_sha256":"a6acaf71c71b783fbaf33accbbb7dc8ee9dfa4a596571faf7f25138042aa90a2","schema_version":"1.0","event_id":"sha256:a6acaf71c71b783fbaf33accbbb7dc8ee9dfa4a596571faf7f25138042aa90a2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MC7PHCGREKJCWOIX5P4S2TDQYY/bundle.json","state_url":"https://pith.science/pith/MC7PHCGREKJCWOIX5P4S2TDQYY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MC7PHCGREKJCWOIX5P4S2TDQYY/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":"2026-05-19T16:57:07Z","links":{"resolver":"https://pith.science/pith/MC7PHCGREKJCWOIX5P4S2TDQYY","bundle":"https://pith.science/pith/MC7PHCGREKJCWOIX5P4S2TDQYY/bundle.json","state":"https://pith.science/pith/MC7PHCGREKJCWOIX5P4S2TDQYY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MC7PHCGREKJCWOIX5P4S2TDQYY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MC7PHCGREKJCWOIX5P4S2TDQYY","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":"de5e7fece8322cbfd1df15d959a785abe6a0929818dab9eafb4f288babed3d6a","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-04T17:57:57Z","title_canon_sha256":"dbf25f1c9c6b79c417a7dccae397b9bf2dff8a2df4575e213e2aecbd0905c703"},"schema_version":"1.0","source":{"id":"1406.1125","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1125","created_at":"2026-05-18T02:50:30Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1125v1","created_at":"2026-05-18T02:50:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1125","created_at":"2026-05-18T02:50:30Z"},{"alias_kind":"pith_short_12","alias_value":"MC7PHCGREKJC","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MC7PHCGREKJCWOIX","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MC7PHCGR","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:a6acaf71c71b783fbaf33accbbb7dc8ee9dfa4a596571faf7f25138042aa90a2","target":"graph","created_at":"2026-05-18T02:50:30Z","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":"Does quantum mechanics matter at everyday scales? We generally assume that its consequences are confined to microscopic scales. It would be very surprising if quantum effects were to be manifest in a macroscopic system. This has been claimed for the problem of balancing a pencil on its tip. The claim has also been disputed. We argue that the behaviour of a tipping pencil can be explained by the asymptotic properties of the complete elliptic function, and can be understood in purely classical terms.","authors_text":"Peter Lynch","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-04T17:57:57Z","title":"The Not-so-simple Pendulum: Balancing a Pencil on its Point"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1125","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":"sha256:2d1349b22aae17fcba75228eedefcb3abf67ea14d126c3a806f23dc8359714a0","target":"record","created_at":"2026-05-18T02:50:30Z","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":"de5e7fece8322cbfd1df15d959a785abe6a0929818dab9eafb4f288babed3d6a","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-06-04T17:57:57Z","title_canon_sha256":"dbf25f1c9c6b79c417a7dccae397b9bf2dff8a2df4575e213e2aecbd0905c703"},"schema_version":"1.0","source":{"id":"1406.1125","kind":"arxiv","version":1}},"canonical_sha256":"60bef388d122922b3917ebf92d4c70c63b5c5e4203bec05af3bd0365a09c701b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60bef388d122922b3917ebf92d4c70c63b5c5e4203bec05af3bd0365a09c701b","first_computed_at":"2026-05-18T02:50:30.271397Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:30.271397Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2fbxwHTaU11tAv+NRrVUQWxWCWBRuKLhNewOppVy3J7nWqHVYcUWf5IKc3fHewQHXLjGgBoQG7ioyUvOGYFBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:30.271890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1125","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d1349b22aae17fcba75228eedefcb3abf67ea14d126c3a806f23dc8359714a0","sha256:a6acaf71c71b783fbaf33accbbb7dc8ee9dfa4a596571faf7f25138042aa90a2"],"state_sha256":"4e7d3ea3470a6856985ba8e811f6d3e1676868f7a7a8cbe19623b3ff0f27a387"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S7nsVv6G6MbtPDz2KcYhy1ZUPpN8WzfO6ec8LPc+1E0dWyc7I57SbChFbDzijkP2QS3itz0DqASi83khAp/sCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T16:57:07.382785Z","bundle_sha256":"a1facb72c48b5d06dafee71caea1f27b9bf909c5723b6bcde78d4e281dc41235"}}