{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:KB5GFXLJF3H2OEX2X4SFCHB3DU","short_pith_number":"pith:KB5GFXLJ","canonical_record":{"source":{"id":"1403.1227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-03-05T19:05:14Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"02a29bac32058cd4d1a07b03d20f2568ed520b48a3f6d36b0ecf1b17c44512d4","abstract_canon_sha256":"87429fd76a55efc3c0d15eea6c274efb818722f014dcdc1fd9b1f87f1e99716f"},"schema_version":"1.0"},"canonical_sha256":"507a62dd692ecfa712fabf24511c3b1d3b28991a137ba62bae624a539d403148","source":{"kind":"arxiv","id":"1403.1227","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1227","created_at":"2026-05-18T01:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1227v1","created_at":"2026-05-18T01:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1227","created_at":"2026-05-18T01:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"KB5GFXLJF3H2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KB5GFXLJF3H2OEX2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KB5GFXLJ","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:KB5GFXLJF3H2OEX2X4SFCHB3DU","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-03-05T19:05:14Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"02a29bac32058cd4d1a07b03d20f2568ed520b48a3f6d36b0ecf1b17c44512d4","abstract_canon_sha256":"87429fd76a55efc3c0d15eea6c274efb818722f014dcdc1fd9b1f87f1e99716f"},"schema_version":"1.0"},"canonical_sha256":"507a62dd692ecfa712fabf24511c3b1d3b28991a137ba62bae624a539d403148","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:19.410889Z","signature_b64":"mgvIQP7EY5THwKGhHbHzhGK8dD1m9/hTXzE0r98nB93LSFl9FNW31d8PcISRrmvIZDOyh6kvARbUo0DkfmTODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"507a62dd692ecfa712fabf24511c3b1d3b28991a137ba62bae624a539d403148","last_reissued_at":"2026-05-18T01:44:19.410299Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:19.410299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1227","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":"2026-05-18T01:44:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hMfPgN2u+s5AUEwxXqlFV44OH94Oeps19N9/K5Cqi1AOOKZDXe7v6C+LIy2Dn23fTqsZm6JqWfdUPxQFyqiVBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:20:27.372659Z"},"content_sha256":"fa912326c30178c30680bc48b0a5d633e9575712b787a8359b1805a8f50f4de0","schema_version":"1.0","event_id":"sha256:fa912326c30178c30680bc48b0a5d633e9575712b787a8359b1805a8f50f4de0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:KB5GFXLJF3H2OEX2X4SFCHB3DU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The dynamics of co- and counter rotating coupled spherical pendulums","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"physics.class-ph","authors_text":"Awadhesh Prasad, Blazej Witkowski, Przemyslaw Perlikowski, Tomasz Kapitaniak","submitted_at":"2014-03-05T19:05:14Z","abstract_excerpt":"The dynamics of co- and counter-rotating coupled spherical pendulums (two lower pendulums are mounted at the end of the upper pendulum) is considered. Linear mode analysis shows the existence of three rotating modes. Starting from linear modes allow we calculate the nonlinear normal modes, which are and present them in frequency-energy plots. With the increase of energy in one mode we observe a symmetry breaking pitchfork bifurcation. In the second part of the paper we consider energy transfer between pendulums having different energies. The results for co-rotating (all pendulums rotate in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1227","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":"2026-05-18T01:44:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0U2j+zNVws33E8EqtyySDWdKCaA88oz7xIapgxRad34p/cA5cvhu1xp7ePk1gpH5hOLib4F/nF3HfB7QQR/xAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T16:20:27.373307Z"},"content_sha256":"beb711adf25e1fe2f13447ac2620f32376ede8899338964c5e208cbcdc82bfff","schema_version":"1.0","event_id":"sha256:beb711adf25e1fe2f13447ac2620f32376ede8899338964c5e208cbcdc82bfff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KB5GFXLJF3H2OEX2X4SFCHB3DU/bundle.json","state_url":"https://pith.science/pith/KB5GFXLJF3H2OEX2X4SFCHB3DU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KB5GFXLJF3H2OEX2X4SFCHB3DU/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":"2026-06-06T16:20:27Z","links":{"resolver":"https://pith.science/pith/KB5GFXLJF3H2OEX2X4SFCHB3DU","bundle":"https://pith.science/pith/KB5GFXLJF3H2OEX2X4SFCHB3DU/bundle.json","state":"https://pith.science/pith/KB5GFXLJF3H2OEX2X4SFCHB3DU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KB5GFXLJF3H2OEX2X4SFCHB3DU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:KB5GFXLJF3H2OEX2X4SFCHB3DU","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":"87429fd76a55efc3c0d15eea6c274efb818722f014dcdc1fd9b1f87f1e99716f","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-03-05T19:05:14Z","title_canon_sha256":"02a29bac32058cd4d1a07b03d20f2568ed520b48a3f6d36b0ecf1b17c44512d4"},"schema_version":"1.0","source":{"id":"1403.1227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1227","created_at":"2026-05-18T01:44:19Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1227v1","created_at":"2026-05-18T01:44:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1227","created_at":"2026-05-18T01:44:19Z"},{"alias_kind":"pith_short_12","alias_value":"KB5GFXLJF3H2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"KB5GFXLJF3H2OEX2","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"KB5GFXLJ","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:beb711adf25e1fe2f13447ac2620f32376ede8899338964c5e208cbcdc82bfff","target":"graph","created_at":"2026-05-18T01:44:19Z","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 dynamics of co- and counter-rotating coupled spherical pendulums (two lower pendulums are mounted at the end of the upper pendulum) is considered. Linear mode analysis shows the existence of three rotating modes. Starting from linear modes allow we calculate the nonlinear normal modes, which are and present them in frequency-energy plots. With the increase of energy in one mode we observe a symmetry breaking pitchfork bifurcation. In the second part of the paper we consider energy transfer between pendulums having different energies. The results for co-rotating (all pendulums rotate in the","authors_text":"Awadhesh Prasad, Blazej Witkowski, Przemyslaw Perlikowski, Tomasz Kapitaniak","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-03-05T19:05:14Z","title":"The dynamics of co- and counter rotating coupled spherical pendulums"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1227","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:fa912326c30178c30680bc48b0a5d633e9575712b787a8359b1805a8f50f4de0","target":"record","created_at":"2026-05-18T01:44:19Z","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":"87429fd76a55efc3c0d15eea6c274efb818722f014dcdc1fd9b1f87f1e99716f","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2014-03-05T19:05:14Z","title_canon_sha256":"02a29bac32058cd4d1a07b03d20f2568ed520b48a3f6d36b0ecf1b17c44512d4"},"schema_version":"1.0","source":{"id":"1403.1227","kind":"arxiv","version":1}},"canonical_sha256":"507a62dd692ecfa712fabf24511c3b1d3b28991a137ba62bae624a539d403148","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"507a62dd692ecfa712fabf24511c3b1d3b28991a137ba62bae624a539d403148","first_computed_at":"2026-05-18T01:44:19.410299Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:19.410299Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mgvIQP7EY5THwKGhHbHzhGK8dD1m9/hTXzE0r98nB93LSFl9FNW31d8PcISRrmvIZDOyh6kvARbUo0DkfmTODw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:19.410889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa912326c30178c30680bc48b0a5d633e9575712b787a8359b1805a8f50f4de0","sha256:beb711adf25e1fe2f13447ac2620f32376ede8899338964c5e208cbcdc82bfff"],"state_sha256":"a0cd2d024b1516932398782cbce8e44acc481968de5c4838cd948f0b106fcd0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RRRrDcKGj6pryaTVNpf2aNTsrkGZovMidX6v/aOTUSamcefyV3pDQsDQR+6ym2aYenKoHdxsqHxM9rQqdjc/CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T16:20:27.377037Z","bundle_sha256":"83b9e8c7d6155b181d78719d63d2f3b95acee51906e21d432c86d59d9b4c3bc3"}}