{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:DIXRWLZA5PPFEMRWKH3BLMTN5A","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":"34897d3be016cf9367ae367ceefbb5cdf3b1c04193fbf05f8e9a6aaa6ccea6d6","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-09T14:02:36Z","title_canon_sha256":"65ec7fb27115ea33878b5c8905b6b19b72b780663255b69b8c6e3bc7df82201a"},"schema_version":"1.0","source":{"id":"2412.06501","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.06501","created_at":"2026-07-05T09:46:56Z"},{"alias_kind":"arxiv_version","alias_value":"2412.06501v2","created_at":"2026-07-05T09:46:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.06501","created_at":"2026-07-05T09:46:56Z"},{"alias_kind":"pith_short_12","alias_value":"DIXRWLZA5PPF","created_at":"2026-07-05T09:46:56Z"},{"alias_kind":"pith_short_16","alias_value":"DIXRWLZA5PPFEMRW","created_at":"2026-07-05T09:46:56Z"},{"alias_kind":"pith_short_8","alias_value":"DIXRWLZA","created_at":"2026-07-05T09:46:56Z"}],"graph_snapshots":[{"event_id":"sha256:88e7aa17a8ef65d9e293d73394dc341ffe209cefffc939d3fad661c3cde95d67","target":"graph","created_at":"2026-07-05T09:46:56Z","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/2412.06501/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The cosmological history and evolution are examined for gravitational models with interaction in the dark sector of the universe. In particular, we consider the dark energy to be described by a phantom scalar field and the dark matter $\\rho _{m}$ as a pressureless ideal gas. We introduce the interacting function $Q=\\beta \\left( t\\right) \\rho_{m}$, where the function $% \\beta \\left( t\\right) $ is considered to be proportional to $\\dot{\\phi}, \\dot{\\phi}^{2}H^{-1},~H$, or a constant parameter with dimensions of $\\left[H_{0}\\right] $. For the four interacting models, we study in details the phase ","authors_text":"Amlan Halder, Andronikos Paliathanasis, Genly Leon","cross_cats":["astro-ph.CO","hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-09T14:02:36Z","title":"Revise the Dark Matter-Phantom Scalar Field Interaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.06501","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":"sha256:882ffe23278f584ef795fe2202cecd87db833e3c8b2f1c5fe9f2ea6be7ae9b81","target":"record","created_at":"2026-07-05T09:46:56Z","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":"34897d3be016cf9367ae367ceefbb5cdf3b1c04193fbf05f8e9a6aaa6ccea6d6","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-12-09T14:02:36Z","title_canon_sha256":"65ec7fb27115ea33878b5c8905b6b19b72b780663255b69b8c6e3bc7df82201a"},"schema_version":"1.0","source":{"id":"2412.06501","kind":"arxiv","version":2}},"canonical_sha256":"1a2f1b2f20ebde52323651f615b26de80a9635fae79cf90a453e8e2f2cb11de6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a2f1b2f20ebde52323651f615b26de80a9635fae79cf90a453e8e2f2cb11de6","first_computed_at":"2026-07-05T09:46:56.741809Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:46:56.741809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9jtj0DWB/9QO89PkjbwJKIuQ63gM2Q3nEn7pZ6ULvJH1ANEXyA9HS5ZDfeBofTye5EAS0D7ZKeMaQFQ52OzyDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:46:56.742571Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.06501","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:882ffe23278f584ef795fe2202cecd87db833e3c8b2f1c5fe9f2ea6be7ae9b81","sha256:88e7aa17a8ef65d9e293d73394dc341ffe209cefffc939d3fad661c3cde95d67"],"state_sha256":"71829b2e68c9bad6e88b16127050f6308be6de68c2a31591baa1a6c59afa022b"}