{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:YDBOIGDPSMTFT4CL3CIWW4BSU7","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":"a91a4bae7d16c232ef0ec84eb349d65c8b599674db551c832a2cdcc2011fca70","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2005-07-31T03:40:14Z","title_canon_sha256":"039f09c0aee5b9779cf6c82b1f058043738a48951efe1583f2ca40304009bfb2"},"schema_version":"1.0","source":{"id":"physics/0508005","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0508005","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0508005v3","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0508005","created_at":"2026-05-18T01:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"YDBOIGDPSMTF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"YDBOIGDPSMTFT4CL","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"YDBOIGDP","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:6807dc2d17938255990ca0f069e505dee51fa014c7093b6f898bc7c9a98c331c","target":"graph","created_at":"2026-05-18T01:38:07Z","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":"The one-dimensional fall of a folded chain with one end suspended from a rigid support and a chain falling from a resting heap on a table is studied. Because their Lagrangians contain no explicit time dependence, the falling chains are conservative systems. Their equations of motion are shown to contain a term that enforces energy conservation when masses are transferred between subchains. We show that Cayley's 1857 energy nonconserving solution for a chain falling from a resting heap is incorrect because it neglects the energy gained when a transferred link leaves a subchain. The maximum chai","authors_text":"Chun Wa Wong, Kosuke Yasui","cross_cats":[],"headline":"","license":"","primary_cat":"physics.class-ph","submitted_at":"2005-07-31T03:40:14Z","title":"Falling chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0508005","kind":"arxiv","version":3},"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:aad5d008adaeef0d92bfe1da604ff56e7f0ad50f6b5606d8beca7c3e1d5fa9e3","target":"record","created_at":"2026-05-18T01:38:07Z","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":"a91a4bae7d16c232ef0ec84eb349d65c8b599674db551c832a2cdcc2011fca70","cross_cats_sorted":[],"license":"","primary_cat":"physics.class-ph","submitted_at":"2005-07-31T03:40:14Z","title_canon_sha256":"039f09c0aee5b9779cf6c82b1f058043738a48951efe1583f2ca40304009bfb2"},"schema_version":"1.0","source":{"id":"physics/0508005","kind":"arxiv","version":3}},"canonical_sha256":"c0c2e4186f932659f04bd8916b7032a7d22a2b28026fb3477e529a83627b751d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0c2e4186f932659f04bd8916b7032a7d22a2b28026fb3477e529a83627b751d","first_computed_at":"2026-05-18T01:38:07.551731Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:07.551731Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GnjmB/60APk6yjgOId7HTD106VSB7JBJVnaxdShVuCpbt4+BCY7C2VBYbQTFAdRYhulKqbf8n94W6vALXMvpBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:07.552360Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0508005","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aad5d008adaeef0d92bfe1da604ff56e7f0ad50f6b5606d8beca7c3e1d5fa9e3","sha256:6807dc2d17938255990ca0f069e505dee51fa014c7093b6f898bc7c9a98c331c"],"state_sha256":"a8459545ace227b093920141b792fd2b567edabcf907a1ed05660fd3fe58e970"}