{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:MKKFVDP3LR5VDGIZUYSTLZQCW7","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":"16fb5bf319fc3fd6c95eab52bb0c8fb83732e6c079ba8f045b2505d15c1f469c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-02T15:48:25Z","title_canon_sha256":"00181ef4f0001f3b91d8bc3d76cf290ed40c1c1597ea4a3a19416c274515994c"},"schema_version":"1.0","source":{"id":"1203.0498","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0498","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0498v2","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0498","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"pith_short_12","alias_value":"MKKFVDP3LR5V","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"MKKFVDP3LR5VDGIZ","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"MKKFVDP3","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:6092babedf814f63a07389cbc9515c6483d8e69d4b1a71643cd4e1fd7c61033d","target":"graph","created_at":"2026-05-18T01:11:05Z","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":"We provide sufficient conditions for the existence of periodic solutions with small amplitude of the non--linear planar double pendulum perturbed by smooth or non--smooth functions.","authors_text":"Douglas Duarte Novaes, Jaume Llibre, Marco Antonio Teixeira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-02T15:48:25Z","title":"On the periodic solutions of a generalized smooth or non-smooth perturbed planar double pendulum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0498","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:bdcbb8ba55bebcaacbb5e26ed085d15827a53666ebc63cca90a8ca339ace1347","target":"record","created_at":"2026-05-18T01:11:05Z","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":"16fb5bf319fc3fd6c95eab52bb0c8fb83732e6c079ba8f045b2505d15c1f469c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2012-03-02T15:48:25Z","title_canon_sha256":"00181ef4f0001f3b91d8bc3d76cf290ed40c1c1597ea4a3a19416c274515994c"},"schema_version":"1.0","source":{"id":"1203.0498","kind":"arxiv","version":2}},"canonical_sha256":"62945a8dfb5c7b519919a62535e602b7c70fed35e114173bd4425c0a38ff0d72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62945a8dfb5c7b519919a62535e602b7c70fed35e114173bd4425c0a38ff0d72","first_computed_at":"2026-05-18T01:11:05.457122Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:05.457122Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5XxWzXGQ2lAGHlLft8C1AsKqgMUI0cubllYknHp3wED07gPj9RdW3XB2eYVBc09qVcOR4aMNCur8/0G6IZYjAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:05.457689Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0498","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdcbb8ba55bebcaacbb5e26ed085d15827a53666ebc63cca90a8ca339ace1347","sha256:6092babedf814f63a07389cbc9515c6483d8e69d4b1a71643cd4e1fd7c61033d"],"state_sha256":"0fdf06a53dce6f722cfbd31affbcdda6af28fd16119e4f65bdb02b1fbfb0a510"}