{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MLUAXKOXRRPLFCK3O3AKYBOMFY","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":"38707a70b8a49ef14c08fe39abf4e40ea116729937eada97269c49546db81fce","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2025-07-17T15:31:05Z","title_canon_sha256":"5006b20063782fe680700275e1f5fa83f6bdda290a1ff5c50e90eeba920a848b"},"schema_version":"1.0","source":{"id":"2507.16837","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.16837","created_at":"2026-07-05T11:41:56Z"},{"alias_kind":"arxiv_version","alias_value":"2507.16837v1","created_at":"2026-07-05T11:41:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.16837","created_at":"2026-07-05T11:41:56Z"},{"alias_kind":"pith_short_12","alias_value":"MLUAXKOXRRPL","created_at":"2026-07-05T11:41:56Z"},{"alias_kind":"pith_short_16","alias_value":"MLUAXKOXRRPLFCK3","created_at":"2026-07-05T11:41:56Z"},{"alias_kind":"pith_short_8","alias_value":"MLUAXKOX","created_at":"2026-07-05T11:41:56Z"}],"graph_snapshots":[{"event_id":"sha256:b5e8039183ae75980494cf6679fcb91ad70a5ee0a5f14f9c62b5ba884e678638","target":"graph","created_at":"2026-07-05T11:41:56Z","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/2507.16837/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We aim to show that the dimensionless unit angular frequency of a certain mechanical oscillator is realized by a condition involving the Hardy-Ramanujan number 1729. This type of coupled oscillator can be called a Ramanujan's oscillator.","authors_text":"Gergely Nyitray","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2025-07-17T15:31:05Z","title":"Ramanujan's oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.16837","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":"sha256:2b83e3752a76da721401616ad0811c3b113257f77c4acc39f7714760800ac34c","target":"record","created_at":"2026-07-05T11:41:56Z","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":"38707a70b8a49ef14c08fe39abf4e40ea116729937eada97269c49546db81fce","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.class-ph","submitted_at":"2025-07-17T15:31:05Z","title_canon_sha256":"5006b20063782fe680700275e1f5fa83f6bdda290a1ff5c50e90eeba920a848b"},"schema_version":"1.0","source":{"id":"2507.16837","kind":"arxiv","version":1}},"canonical_sha256":"62e80ba9d78c5eb2895b76c0ac05cc2e05e0a09ad5d5a958a8e5cd898ca49505","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"62e80ba9d78c5eb2895b76c0ac05cc2e05e0a09ad5d5a958a8e5cd898ca49505","first_computed_at":"2026-07-05T11:41:56.794290Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:41:56.794290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uiCmWh7ChP2F7y/OffZMJrRpb51wMaBksNx5gMzllbb0Zd4Df7SXVFf28OgQGPqdT+R2770y0ndpOej1PdgsAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:41:56.794711Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.16837","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b83e3752a76da721401616ad0811c3b113257f77c4acc39f7714760800ac34c","sha256:b5e8039183ae75980494cf6679fcb91ad70a5ee0a5f14f9c62b5ba884e678638"],"state_sha256":"acdd1dfeac146c45b89f47bde94c76201f2edc1c0a694c9eb8c7a9dca51610e4"}