{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:G6IWFYSIWMAVDFEUDQAH44SVDP","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":"9db33bddeea55252c7a0a51e07e80bc5f218881b61d93db02f7a7feedd7f93e3","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-04-23T14:34:30Z","title_canon_sha256":"b7729d39d01a23dbb9b939d1d69fbd4f06ec6fa06c82570275100ef25452f745"},"schema_version":"1.0","source":{"id":"2504.16764","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.16764","created_at":"2026-07-05T11:59:13Z"},{"alias_kind":"arxiv_version","alias_value":"2504.16764v2","created_at":"2026-07-05T11:59:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.16764","created_at":"2026-07-05T11:59:13Z"},{"alias_kind":"pith_short_12","alias_value":"G6IWFYSIWMAV","created_at":"2026-07-05T11:59:13Z"},{"alias_kind":"pith_short_16","alias_value":"G6IWFYSIWMAVDFEU","created_at":"2026-07-05T11:59:13Z"},{"alias_kind":"pith_short_8","alias_value":"G6IWFYSI","created_at":"2026-07-05T11:59:13Z"}],"graph_snapshots":[{"event_id":"sha256:7072e65ac95dc03f74cc5d37f586d4d4c61bdb48f58d68a9a359fce22fd0c929","target":"graph","created_at":"2026-07-05T11:59:13Z","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/2504.16764/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this note, we investigate the stability of the dark energy model from time crystals proposed in [1]. We emphasize two ingredients, the coupling of the scalar field to gravity, and the fact that these time crystals are on an expanding FRW background, which play a crucial role in the field's dynamics. The Hubble parameter, which contributes a drag term to the equations of motion, grows with time until the scale factor diverges. When taken into account, these factors also alleviate the stability concern of [2].","authors_text":"Laura Mersini-Houghton","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-04-23T14:34:30Z","title":"A Note on the Stability of the Dark Energy Model from Time Crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.16764","kind":"arxiv","version":2},"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:c9bcdd145ae829d1512cd52f7294189979d0809173946a57ee9a5b5e1965d409","target":"record","created_at":"2026-07-05T11:59:13Z","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":"9db33bddeea55252c7a0a51e07e80bc5f218881b61d93db02f7a7feedd7f93e3","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-04-23T14:34:30Z","title_canon_sha256":"b7729d39d01a23dbb9b939d1d69fbd4f06ec6fa06c82570275100ef25452f745"},"schema_version":"1.0","source":{"id":"2504.16764","kind":"arxiv","version":2}},"canonical_sha256":"379162e248b3015194941c007e72551bfcfa06012c7919970c5848463cd77616","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"379162e248b3015194941c007e72551bfcfa06012c7919970c5848463cd77616","first_computed_at":"2026-07-05T11:59:13.321497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:13.321497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TJv1PL2Q5V2skfhiVFiOVGPPRAOhkIj2ClLiFKcOLmQpoLPl2OOEjdsxT5ImqDgLipmsXG66/9K1xtGgAG0kCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:13.322008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.16764","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9bcdd145ae829d1512cd52f7294189979d0809173946a57ee9a5b5e1965d409","sha256:7072e65ac95dc03f74cc5d37f586d4d4c61bdb48f58d68a9a359fce22fd0c929"],"state_sha256":"2f20c64fb7ee8b5c9450a46ba327aa6f45ec077b4ca331db499b923069ab6805"}