{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HIRES4O2GB2FIWJNAQP7F4FPVE","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":"09e4eab9b344fddb61b443e97f7c8740f447dbff291657ad157de88f6f8c6239","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T17:12:00Z","title_canon_sha256":"7532efc59ef9ab66c9eb5cc4d980578834df61a70da26b1727db3ba32b6acf5d"},"schema_version":"1.0","source":{"id":"1602.07239","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07239","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07239v2","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07239","created_at":"2026-05-18T01:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"HIRES4O2GB2F","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HIRES4O2GB2FIWJN","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HIRES4O2","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:efea73632816143d78fdd264b8890441f160df7ce1f76f22b04b7070107d80da","target":"graph","created_at":"2026-05-18T01:04:13Z","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 problem of the motion of a particle in an asymmetric double well is solved explicitly in terms of the Weierstrass and Jacobi elliptic functions. While the solution of the orbital motion is expressed simply in terms of the Weierstrass elliptic function, the period of oscillation is more directly expressed in terms of periods of the Jacobi elliptic functions.","authors_text":"Alain J. Brizard, Melissa C. Westland","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T17:12:00Z","title":"Motion in an Asymmetric Double Well"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07239","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":"sha256:8d230dbb2272d20ac03ec03d858a253b2f8becf79e9841a2fb4500a96856ab4d","target":"record","created_at":"2026-05-18T01:04:13Z","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":"09e4eab9b344fddb61b443e97f7c8740f447dbff291657ad157de88f6f8c6239","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2016-02-23T17:12:00Z","title_canon_sha256":"7532efc59ef9ab66c9eb5cc4d980578834df61a70da26b1727db3ba32b6acf5d"},"schema_version":"1.0","source":{"id":"1602.07239","kind":"arxiv","version":2}},"canonical_sha256":"3a224971da307454592d041ff2f0afa90b542f451545f219e1c95f997053bd44","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a224971da307454592d041ff2f0afa90b542f451545f219e1c95f997053bd44","first_computed_at":"2026-05-18T01:04:13.764884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:13.764884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dTbARHRFgmsK4NFWgmIjnI0S4imXL0ioShw1bogrLS6dBc7mTboumJlv5ENuxqyo/gOf+GW46g9polVQ8bbzBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:13.765413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07239","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d230dbb2272d20ac03ec03d858a253b2f8becf79e9841a2fb4500a96856ab4d","sha256:efea73632816143d78fdd264b8890441f160df7ce1f76f22b04b7070107d80da"],"state_sha256":"963a159375494fc94e0186079fb367fd16de8dc9043f7fd0ea119495a02db2a5"}