{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:2MEC3EHQLAWBY4EH3FZE6OSM2V","short_pith_number":"pith:2MEC3EHQ","canonical_record":{"source":{"id":"nlin/0303038","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-18T14:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"17f035532d3ff3561796539329f83b5b76713438fe30d924b2bd4e3bfae1c284","abstract_canon_sha256":"76673b6aa983a1f444fa1757683d640a443a6e37cc407491e8a10d1960d1e03d"},"schema_version":"1.0"},"canonical_sha256":"d3082d90f0582c1c7087d9724f3a4cd5484055acc96e447be0fae3a568615849","source":{"kind":"arxiv","id":"nlin/0303038","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0303038","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0303038v1","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0303038","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"2MEC3EHQLAWB","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"pith_short_16","alias_value":"2MEC3EHQLAWBY4EH","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"pith_short_8","alias_value":"2MEC3EHQ","created_at":"2026-07-04T16:41:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:2MEC3EHQLAWBY4EH3FZE6OSM2V","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0303038","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-18T14:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"17f035532d3ff3561796539329f83b5b76713438fe30d924b2bd4e3bfae1c284","abstract_canon_sha256":"76673b6aa983a1f444fa1757683d640a443a6e37cc407491e8a10d1960d1e03d"},"schema_version":"1.0"},"canonical_sha256":"d3082d90f0582c1c7087d9724f3a4cd5484055acc96e447be0fae3a568615849","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:43.360710Z","signature_b64":"/KW5BihymImfBKlFWt7PTmX5vWfU5F88694dSl7L/JVE8aCjwM+UwEfv3JCncLG5KwSYsdgORz+78nqM41R3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3082d90f0582c1c7087d9724f3a4cd5484055acc96e447be0fae3a568615849","last_reissued_at":"2026-07-04T16:41:43.360372Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:43.360372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0303038","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":"2026-07-04T16:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AsBBgnYFgkw7Qa+jgtK+mlKPh5C1gfPnBb+rM40Z5L3KRb6oCy3YZk+DwMH0Ct4VBhaA2SR/BaXZzcU+S2J6AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T19:17:26.098657Z"},"content_sha256":"0d22b2cab10dc6f0f30088d987c6a089aaa42dcc2060ebff6230a5072f33494b","schema_version":"1.0","event_id":"sha256:0d22b2cab10dc6f0f30088d987c6a089aaa42dcc2060ebff6230a5072f33494b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:2MEC3EHQLAWBY4EH3FZE6OSM2V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pulsation and Precession of the Resonant Swinging Spring","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Conor Houghton, Peter Lynch","submitted_at":"2003-03-18T14:22:07Z","abstract_excerpt":"When the frequencies of the elastic and pendular oscillations of an elastic pendulum or swinging spring are in the ratio two-to-one, there is a regular exchange of energy between the two modes of oscillation. We refer to this phenomenon as pulsation. Between the horizontal excursions, or pulses, the spring undergoes a change of azimuth which we call the precession angle. The pulsation and stepwise precession are the characteristic features of the dynamics of the swinging spring.\n  The modulation equations for the small-amplitude resonant motion of the system are the well-known three-wave equat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0303038","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/nlin/0303038/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:41:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QoSzqp0pdTS3yEw8FlU5Q+XSzJrdPAwcpcaEtglWNGYYPx+kKfXsF31fAHaizG7Wu554Pfa0kERl3JYTP8i4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T19:17:26.099031Z"},"content_sha256":"6d84b5a0354f78f34149c94f4a322b7e709b992eb736e15061859f12fc9b3142","schema_version":"1.0","event_id":"sha256:6d84b5a0354f78f34149c94f4a322b7e709b992eb736e15061859f12fc9b3142"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2MEC3EHQLAWBY4EH3FZE6OSM2V/bundle.json","state_url":"https://pith.science/pith/2MEC3EHQLAWBY4EH3FZE6OSM2V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2MEC3EHQLAWBY4EH3FZE6OSM2V/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":"2026-07-11T19:17:26Z","links":{"resolver":"https://pith.science/pith/2MEC3EHQLAWBY4EH3FZE6OSM2V","bundle":"https://pith.science/pith/2MEC3EHQLAWBY4EH3FZE6OSM2V/bundle.json","state":"https://pith.science/pith/2MEC3EHQLAWBY4EH3FZE6OSM2V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2MEC3EHQLAWBY4EH3FZE6OSM2V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:2MEC3EHQLAWBY4EH3FZE6OSM2V","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":"76673b6aa983a1f444fa1757683d640a443a6e37cc407491e8a10d1960d1e03d","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-18T14:22:07Z","title_canon_sha256":"17f035532d3ff3561796539329f83b5b76713438fe30d924b2bd4e3bfae1c284"},"schema_version":"1.0","source":{"id":"nlin/0303038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0303038","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0303038v1","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0303038","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"2MEC3EHQLAWB","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"pith_short_16","alias_value":"2MEC3EHQLAWBY4EH","created_at":"2026-07-04T16:41:43Z"},{"alias_kind":"pith_short_8","alias_value":"2MEC3EHQ","created_at":"2026-07-04T16:41:43Z"}],"graph_snapshots":[{"event_id":"sha256:6d84b5a0354f78f34149c94f4a322b7e709b992eb736e15061859f12fc9b3142","target":"graph","created_at":"2026-07-04T16:41:43Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/nlin/0303038/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"When the frequencies of the elastic and pendular oscillations of an elastic pendulum or swinging spring are in the ratio two-to-one, there is a regular exchange of energy between the two modes of oscillation. We refer to this phenomenon as pulsation. Between the horizontal excursions, or pulses, the spring undergoes a change of azimuth which we call the precession angle. The pulsation and stepwise precession are the characteristic features of the dynamics of the swinging spring.\n  The modulation equations for the small-amplitude resonant motion of the system are the well-known three-wave equat","authors_text":"Conor Houghton, Peter Lynch","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-18T14:22:07Z","title":"Pulsation and Precession of the Resonant Swinging Spring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0303038","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":"sha256:0d22b2cab10dc6f0f30088d987c6a089aaa42dcc2060ebff6230a5072f33494b","target":"record","created_at":"2026-07-04T16:41:43Z","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":"76673b6aa983a1f444fa1757683d640a443a6e37cc407491e8a10d1960d1e03d","cross_cats_sorted":[],"license":"","primary_cat":"nlin.SI","submitted_at":"2003-03-18T14:22:07Z","title_canon_sha256":"17f035532d3ff3561796539329f83b5b76713438fe30d924b2bd4e3bfae1c284"},"schema_version":"1.0","source":{"id":"nlin/0303038","kind":"arxiv","version":1}},"canonical_sha256":"d3082d90f0582c1c7087d9724f3a4cd5484055acc96e447be0fae3a568615849","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3082d90f0582c1c7087d9724f3a4cd5484055acc96e447be0fae3a568615849","first_computed_at":"2026-07-04T16:41:43.360372Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:43.360372Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/KW5BihymImfBKlFWt7PTmX5vWfU5F88694dSl7L/JVE8aCjwM+UwEfv3JCncLG5KwSYsdgORz+78nqM41R3Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:43.360710Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0303038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d22b2cab10dc6f0f30088d987c6a089aaa42dcc2060ebff6230a5072f33494b","sha256:6d84b5a0354f78f34149c94f4a322b7e709b992eb736e15061859f12fc9b3142"],"state_sha256":"32b3b5e9aad990dec1b9af74e14dd364adccd4685f902abed4397c1f4227d810"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ri0rE7enTUpWJrWigi/1bsyWTb5NnFKLWcH5IQhGp2vQJlFm+p+aazx8KITOl/cD50zCeBxn3DWktkH7l7CbCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T19:17:26.101628Z","bundle_sha256":"b9dafe31462150d334d7f250436af711fc13007d55fbf486ea9a18bf5269df45"}}