{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DLZMB4XBKQO4GY2ILCRWTTJLZJ","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":"d9ec1a5b983aaa61abc6c390e5c022efd98972be33a1aa63ad88b976c929ebed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-12-21T17:11:31Z","title_canon_sha256":"d9fbfbce3ffea74711dfe661a35b18134cd08a5fd604ce7e7a7e7e6471afb56b"},"schema_version":"1.0","source":{"id":"1212.5527","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5527","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5527v1","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5527","created_at":"2026-05-18T03:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"DLZMB4XBKQO4","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DLZMB4XBKQO4GY2I","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DLZMB4XB","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:1b88ead8a38f0fbc98e179a3f5a84f44ee9a09e38dfa0466e9a24b8344072291","target":"graph","created_at":"2026-05-18T03:37:54Z","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":"Models of period variations are basic tools for period analyzes of variable stars. We introduce phase function and instant period and formulate basic relations and equations among them. Some simple period models are also presented.","authors_text":"Liying Zhu, Miloslav Zejda, Shen-Bang Qian, Tom\\'a\\v{s} Gr\\'af, Zden\\v{e}k Mikul\\'a\\v{s}ek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-12-21T17:11:31Z","title":"Basic relations for the period variation models of variable stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5527","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":"sha256:62de0486f737dc7e6951120b093fbead94651a2378c6816f6ed04c72435b0c7c","target":"record","created_at":"2026-05-18T03:37:54Z","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":"d9ec1a5b983aaa61abc6c390e5c022efd98972be33a1aa63ad88b976c929ebed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-12-21T17:11:31Z","title_canon_sha256":"d9fbfbce3ffea74711dfe661a35b18134cd08a5fd604ce7e7a7e7e6471afb56b"},"schema_version":"1.0","source":{"id":"1212.5527","kind":"arxiv","version":1}},"canonical_sha256":"1af2c0f2e1541dc3634858a369cd2bca5c61c80b83338d19a572751e5b904bf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1af2c0f2e1541dc3634858a369cd2bca5c61c80b83338d19a572751e5b904bf8","first_computed_at":"2026-05-18T03:37:54.158231Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:54.158231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vXiAGMu/PaNFw+kReLcQrmMebSpbt7rczzxCrKhY84kDZJ/WIN1j9Skcw2HONQfyJUY11mO9J+dbba0+4f00AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:54.159023Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5527","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:62de0486f737dc7e6951120b093fbead94651a2378c6816f6ed04c72435b0c7c","sha256:1b88ead8a38f0fbc98e179a3f5a84f44ee9a09e38dfa0466e9a24b8344072291"],"state_sha256":"dbbfec842bf2fcd1206d48b958fcc9299b2b11fabc4dfc6f08a536be3e7032f8"}