{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QQT3DOE5OZX2OCRDHI46VUXVLU","short_pith_number":"pith:QQT3DOE5","canonical_record":{"source":{"id":"1207.2875","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-12T08:37:18Z","cross_cats_sorted":[],"title_canon_sha256":"b6467f37026722cb7d7370964d8ca5363fc2a64e30deed4ce54e2e51bf092513","abstract_canon_sha256":"a3d7b2ab988d349143c705d0897a30f0c3d51aaa6c6f841a7c8abc8083f7e460"},"schema_version":"1.0"},"canonical_sha256":"8427b1b89d766fa70a233a39ead2f55d3927e3a7de548479be3c75e2bf7a5955","source":{"kind":"arxiv","id":"1207.2875","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2875","created_at":"2026-05-18T01:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2875v3","created_at":"2026-05-18T01:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2875","created_at":"2026-05-18T01:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"QQT3DOE5OZX2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QQT3DOE5OZX2OCRD","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QQT3DOE5","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QQT3DOE5OZX2OCRDHI46VUXVLU","target":"record","payload":{"canonical_record":{"source":{"id":"1207.2875","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-12T08:37:18Z","cross_cats_sorted":[],"title_canon_sha256":"b6467f37026722cb7d7370964d8ca5363fc2a64e30deed4ce54e2e51bf092513","abstract_canon_sha256":"a3d7b2ab988d349143c705d0897a30f0c3d51aaa6c6f841a7c8abc8083f7e460"},"schema_version":"1.0"},"canonical_sha256":"8427b1b89d766fa70a233a39ead2f55d3927e3a7de548479be3c75e2bf7a5955","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:24.549464Z","signature_b64":"yoiS6fTa/i4bTLfXFjP2lRtN27DE3uYjOXqRY0EbcBNkLmrr764ML8b6o5e9lQeB4uVFd6kK2F2p0lyf3kE8BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8427b1b89d766fa70a233a39ead2f55d3927e3a7de548479be3c75e2bf7a5955","last_reissued_at":"2026-05-18T01:56:24.548725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:24.548725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.2875","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B5iRy3QUMuXJM6fsQmVOj9SgFzT5dWbRN9JhrSVQTigohKLJXqww8Xx9NA1CuHFiAUFKUuhVfKrZLOHrA4ZgAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T23:56:30.970944Z"},"content_sha256":"56ca65ba0cd69c524e784624317397bfd13c64d67099f6c5f03541ac45329020","schema_version":"1.0","event_id":"sha256:56ca65ba0cd69c524e784624317397bfd13c64d67099f6c5f03541ac45329020"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QQT3DOE5OZX2OCRDHI46VUXVLU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Newton-Hooke type symmetry of anisotropic oscillators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Gonera, K. Andrzejewski, P. A. Horvathy, P. Kosinski, P. M. Zhang","submitted_at":"2012-07-12T08:37:18Z","abstract_excerpt":"The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary anisotropic oscillator in the plane. Conversely, the latter system is shown, by the orbit method, to be the most general one with such a symmetry. Full Newton-Hooke symmetry is recovered in the isotropic case. Star escape from a Galaxy is studied as application."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2875","kind":"arxiv","version":3},"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":"2026-05-18T01:56:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K+SIpaonaQrl+ZVfijaDrehdrH6wQ8RU1eJxU7PRmXOMF06UXVpR9iu4sSN3UDsn+oB3PBETc8T3Sjy2AkEWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T23:56:30.971660Z"},"content_sha256":"55c60049b5859e126a896ddbe755d4d10e8b49a5d0a830a073fd42c54ce71f96","schema_version":"1.0","event_id":"sha256:55c60049b5859e126a896ddbe755d4d10e8b49a5d0a830a073fd42c54ce71f96"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QQT3DOE5OZX2OCRDHI46VUXVLU/bundle.json","state_url":"https://pith.science/pith/QQT3DOE5OZX2OCRDHI46VUXVLU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QQT3DOE5OZX2OCRDHI46VUXVLU/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":"2026-05-24T23:56:30Z","links":{"resolver":"https://pith.science/pith/QQT3DOE5OZX2OCRDHI46VUXVLU","bundle":"https://pith.science/pith/QQT3DOE5OZX2OCRDHI46VUXVLU/bundle.json","state":"https://pith.science/pith/QQT3DOE5OZX2OCRDHI46VUXVLU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QQT3DOE5OZX2OCRDHI46VUXVLU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QQT3DOE5OZX2OCRDHI46VUXVLU","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":"a3d7b2ab988d349143c705d0897a30f0c3d51aaa6c6f841a7c8abc8083f7e460","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-12T08:37:18Z","title_canon_sha256":"b6467f37026722cb7d7370964d8ca5363fc2a64e30deed4ce54e2e51bf092513"},"schema_version":"1.0","source":{"id":"1207.2875","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.2875","created_at":"2026-05-18T01:56:24Z"},{"alias_kind":"arxiv_version","alias_value":"1207.2875v3","created_at":"2026-05-18T01:56:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2875","created_at":"2026-05-18T01:56:24Z"},{"alias_kind":"pith_short_12","alias_value":"QQT3DOE5OZX2","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QQT3DOE5OZX2OCRD","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QQT3DOE5","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:55c60049b5859e126a896ddbe755d4d10e8b49a5d0a830a073fd42c54ce71f96","target":"graph","created_at":"2026-05-18T01:56:24Z","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 rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary anisotropic oscillator in the plane. Conversely, the latter system is shown, by the orbit method, to be the most general one with such a symmetry. Full Newton-Hooke symmetry is recovered in the isotropic case. Star escape from a Galaxy is studied as application.","authors_text":"J. Gonera, K. Andrzejewski, P. A. Horvathy, P. Kosinski, P. M. Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-12T08:37:18Z","title":"Newton-Hooke type symmetry of anisotropic oscillators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2875","kind":"arxiv","version":3},"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":"sha256:56ca65ba0cd69c524e784624317397bfd13c64d67099f6c5f03541ac45329020","target":"record","created_at":"2026-05-18T01:56:24Z","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":"a3d7b2ab988d349143c705d0897a30f0c3d51aaa6c6f841a7c8abc8083f7e460","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-07-12T08:37:18Z","title_canon_sha256":"b6467f37026722cb7d7370964d8ca5363fc2a64e30deed4ce54e2e51bf092513"},"schema_version":"1.0","source":{"id":"1207.2875","kind":"arxiv","version":3}},"canonical_sha256":"8427b1b89d766fa70a233a39ead2f55d3927e3a7de548479be3c75e2bf7a5955","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8427b1b89d766fa70a233a39ead2f55d3927e3a7de548479be3c75e2bf7a5955","first_computed_at":"2026-05-18T01:56:24.548725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:24.548725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yoiS6fTa/i4bTLfXFjP2lRtN27DE3uYjOXqRY0EbcBNkLmrr764ML8b6o5e9lQeB4uVFd6kK2F2p0lyf3kE8BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:24.549464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.2875","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56ca65ba0cd69c524e784624317397bfd13c64d67099f6c5f03541ac45329020","sha256:55c60049b5859e126a896ddbe755d4d10e8b49a5d0a830a073fd42c54ce71f96"],"state_sha256":"d767341c958be35afbc87d922617a02080863ad75724c475297955c1a8e92a3f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"miXmkHOR9pJyQKkzwwCVR+ox719dYD5bOUJDaSTjyeUq5QIdHjJm3CniCzmxpNhIoyu/9csIOJl+DAyb3XYZBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T23:56:30.975235Z","bundle_sha256":"2e74d9d1d6b9d51023aea7ebfaf771a71dcefa2c015a616ae6778d88cad7937f"}}