{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:KX4JHGZBOQ3FCICRJBQE6ANDTL","short_pith_number":"pith:KX4JHGZB","canonical_record":{"source":{"id":"nlin/0104038","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2001-04-17T19:24:38Z","cross_cats_sorted":[],"title_canon_sha256":"0d2cb274d2c4686bd8f884a2ee6cfe1f84c496934cefb12dc34a821343bbd3aa","abstract_canon_sha256":"d66054e432e8822f53403dc47d9c0b782007b8b34f6f9e5ae182f332613697ec"},"schema_version":"1.0"},"canonical_sha256":"55f8939b21743651205148604f01a39ac54a6a263aec2dd0fa5638f17018c83a","source":{"kind":"arxiv","id":"nlin/0104038","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0104038","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0104038v1","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0104038","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"pith_short_12","alias_value":"KX4JHGZBOQ3F","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"KX4JHGZBOQ3FCICR","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"KX4JHGZB","created_at":"2026-07-04T16:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:KX4JHGZBOQ3FCICRJBQE6ANDTL","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0104038","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.CD","submitted_at":"2001-04-17T19:24:38Z","cross_cats_sorted":[],"title_canon_sha256":"0d2cb274d2c4686bd8f884a2ee6cfe1f84c496934cefb12dc34a821343bbd3aa","abstract_canon_sha256":"d66054e432e8822f53403dc47d9c0b782007b8b34f6f9e5ae182f332613697ec"},"schema_version":"1.0"},"canonical_sha256":"55f8939b21743651205148604f01a39ac54a6a263aec2dd0fa5638f17018c83a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:28:19.222415Z","signature_b64":"zsuGCfeNksWpX4A5N70vCMECg/EpOIlhFVe68pfxBioVpmeoyfDjkYgIRFH41cCUOav8FpwCNFh2eEdci8HUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55f8939b21743651205148604f01a39ac54a6a263aec2dd0fa5638f17018c83a","last_reissued_at":"2026-07-04T16:28:19.222028Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:28:19.222028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0104038","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":"2026-07-04T16:28:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M75HrSU3xLzeTPhhU4HG7y7GO59H7ZxAI7QkCd6ZXe3HwDfwRhg9x1t+RynpxM4KjUefjaOJ7eLoMF40DuLgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T09:14:20.935722Z"},"content_sha256":"7c2224f89df0cfa303d23bad04bd732fce4af6663b92dd51dd616276597b0cf3","schema_version":"1.0","event_id":"sha256:7c2224f89df0cfa303d23bad04bd732fce4af6663b92dd51dd616276597b0cf3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:KX4JHGZBOQ3FCICRJBQE6ANDTL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stepwise Precession of the Resonant Swinging Spring","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Darryl D. Holm, Peter Lynch","submitted_at":"2001-04-17T19:24:38Z","abstract_excerpt":"The swinging spring, or elastic pendulum, has a 2:1:1 resonance arising at cubic order in its approximate Lagrangian. The corresponding modulation equations are the well-known three-wave equations that also apply, for example, in laser-matter interaction in a cavity. We use Hamiltonian reduction and pattern evocation techniques to derive a formula that describes the characteristic feature of this system's dynamics, namely, the stepwise precession of its azimuthal angle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0104038","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/0104038/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":"2026-07-04T16:28:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXytGXb9lF0Bux9Uav5g23SPMNE+QuYMBe18ViY9gyVI/P3poekLesrPP44puGeDUoSZIwr7cr+1i94JjGmAAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T09:14:20.936098Z"},"content_sha256":"bf486efd8e15e4364e5417860fdec5976657ec3f00d4d3c584ef82e7a56251d6","schema_version":"1.0","event_id":"sha256:bf486efd8e15e4364e5417860fdec5976657ec3f00d4d3c584ef82e7a56251d6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KX4JHGZBOQ3FCICRJBQE6ANDTL/bundle.json","state_url":"https://pith.science/pith/KX4JHGZBOQ3FCICRJBQE6ANDTL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KX4JHGZBOQ3FCICRJBQE6ANDTL/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":"2026-07-17T09:14:20Z","links":{"resolver":"https://pith.science/pith/KX4JHGZBOQ3FCICRJBQE6ANDTL","bundle":"https://pith.science/pith/KX4JHGZBOQ3FCICRJBQE6ANDTL/bundle.json","state":"https://pith.science/pith/KX4JHGZBOQ3FCICRJBQE6ANDTL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KX4JHGZBOQ3FCICRJBQE6ANDTL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:KX4JHGZBOQ3FCICRJBQE6ANDTL","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":"d66054e432e8822f53403dc47d9c0b782007b8b34f6f9e5ae182f332613697ec","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-04-17T19:24:38Z","title_canon_sha256":"0d2cb274d2c4686bd8f884a2ee6cfe1f84c496934cefb12dc34a821343bbd3aa"},"schema_version":"1.0","source":{"id":"nlin/0104038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0104038","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0104038v1","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0104038","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"pith_short_12","alias_value":"KX4JHGZBOQ3F","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"KX4JHGZBOQ3FCICR","created_at":"2026-07-04T16:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"KX4JHGZB","created_at":"2026-07-04T16:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:bf486efd8e15e4364e5417860fdec5976657ec3f00d4d3c584ef82e7a56251d6","target":"graph","created_at":"2026-07-04T16:28:19Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/nlin/0104038/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The swinging spring, or elastic pendulum, has a 2:1:1 resonance arising at cubic order in its approximate Lagrangian. The corresponding modulation equations are the well-known three-wave equations that also apply, for example, in laser-matter interaction in a cavity. We use Hamiltonian reduction and pattern evocation techniques to derive a formula that describes the characteristic feature of this system's dynamics, namely, the stepwise precession of its azimuthal angle.","authors_text":"Darryl D. Holm, Peter Lynch","cross_cats":[],"headline":"","license":"","primary_cat":"nlin.CD","submitted_at":"2001-04-17T19:24:38Z","title":"Stepwise Precession of the Resonant Swinging Spring"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0104038","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":"sha256:7c2224f89df0cfa303d23bad04bd732fce4af6663b92dd51dd616276597b0cf3","target":"record","created_at":"2026-07-04T16:28:19Z","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":"d66054e432e8822f53403dc47d9c0b782007b8b34f6f9e5ae182f332613697ec","cross_cats_sorted":[],"license":"","primary_cat":"nlin.CD","submitted_at":"2001-04-17T19:24:38Z","title_canon_sha256":"0d2cb274d2c4686bd8f884a2ee6cfe1f84c496934cefb12dc34a821343bbd3aa"},"schema_version":"1.0","source":{"id":"nlin/0104038","kind":"arxiv","version":1}},"canonical_sha256":"55f8939b21743651205148604f01a39ac54a6a263aec2dd0fa5638f17018c83a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55f8939b21743651205148604f01a39ac54a6a263aec2dd0fa5638f17018c83a","first_computed_at":"2026-07-04T16:28:19.222028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:28:19.222028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zsuGCfeNksWpX4A5N70vCMECg/EpOIlhFVe68pfxBioVpmeoyfDjkYgIRFH41cCUOav8FpwCNFh2eEdci8HUDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:28:19.222415Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0104038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7c2224f89df0cfa303d23bad04bd732fce4af6663b92dd51dd616276597b0cf3","sha256:bf486efd8e15e4364e5417860fdec5976657ec3f00d4d3c584ef82e7a56251d6"],"state_sha256":"c721ba85f6afe060af671183fb16d57f43c6f1fa80966e24b4ecf38b34485e40"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"95WDevJFoVCp9S2R4el7AEHDlqz8RGpF/RXWBD2eLz9Zn9tyQQMLRo2exRrB8lXwE3maGdp5bmBEtCEVwNkzCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T09:14:20.938222Z","bundle_sha256":"dc1bde25f4e2b340feead7c353d5419a55cc34447e7c6f06aff5e36d2fac1f00"}}