{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:T3LQYM5CVZ54PSJMO4T46MICLQ","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":"6e7c3a16b348b6751e5f5eb7e872a6e0030cde4ebcee25d7523e30a38517f2ed","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2009-10-03T03:45:09Z","title_canon_sha256":"02c6ce65e19762133b5df79493886f0c92dd5319a9d7333a671116b741641cc8"},"schema_version":"1.0","source":{"id":"0910.0510","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0910.0510","created_at":"2026-07-04T17:18:53Z"},{"alias_kind":"arxiv_version","alias_value":"0910.0510v2","created_at":"2026-07-04T17:18:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0910.0510","created_at":"2026-07-04T17:18:53Z"},{"alias_kind":"pith_short_12","alias_value":"T3LQYM5CVZ54","created_at":"2026-07-04T17:18:53Z"},{"alias_kind":"pith_short_16","alias_value":"T3LQYM5CVZ54PSJM","created_at":"2026-07-04T17:18:53Z"},{"alias_kind":"pith_short_8","alias_value":"T3LQYM5C","created_at":"2026-07-04T17:18:53Z"}],"graph_snapshots":[{"event_id":"sha256:4c3a6c02741e4c73fc8fcc48f5c0fcdf3129b8c60fbd1db408731f4eb9c0c241","target":"graph","created_at":"2026-07-04T17:18:53Z","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/0910.0510/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As soon as an interaction between holographic dark energy and dark matter is taken into account, the identification of IR cutoff with Hubble radius $H^{-1}$, in flat universe, can simultaneously drive accelerated expansion and solve the coincidence problem. Based on this, we demonstrate that in a non-flat universe the natural choice for IR cutoff could be the apparent horizon radius, $\\tilde{r}_A={1}/{\\sqrt{H^2+k/a^2}}$. We show that any interaction of dark matter with holographic dark energy, whose infrared cutoff is set by the apparent horizon radius, implies an accelerated expansion and a c","authors_text":"Ahmad Sheykhi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2009-10-03T03:45:09Z","title":"Thermodynamics of interacting holographic dark energy with apparent horizon as an IR cutoff"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.0510","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":"sha256:70cdd60d7b814404c01c8049cfb9fc10fcc5a481fa8bac4f60c5be8ef8f9c428","target":"record","created_at":"2026-07-04T17:18:53Z","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":"6e7c3a16b348b6751e5f5eb7e872a6e0030cde4ebcee25d7523e30a38517f2ed","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"hep-th","submitted_at":"2009-10-03T03:45:09Z","title_canon_sha256":"02c6ce65e19762133b5df79493886f0c92dd5319a9d7333a671116b741641cc8"},"schema_version":"1.0","source":{"id":"0910.0510","kind":"arxiv","version":2}},"canonical_sha256":"9ed70c33a2ae7bc7c92c7727cf31025c114727d7ac858cba0cf94179b5a93a2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ed70c33a2ae7bc7c92c7727cf31025c114727d7ac858cba0cf94179b5a93a2f","first_computed_at":"2026-07-04T17:18:53.066571Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:18:53.066571Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nlfOXdyFNCutYwo2Rc+kcJwtl6kRtPL9llXaY1R0BDdncOtFE90rTWeAvsj0VbrUPNwYcpETbXbW8wIh+d1JDw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:18:53.066936Z","signed_message":"canonical_sha256_bytes"},"source_id":"0910.0510","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:70cdd60d7b814404c01c8049cfb9fc10fcc5a481fa8bac4f60c5be8ef8f9c428","sha256:4c3a6c02741e4c73fc8fcc48f5c0fcdf3129b8c60fbd1db408731f4eb9c0c241"],"state_sha256":"6b8eb0617ea3ce40bd5f0ac082f1d08a45600933374d5272f35f8ce4edb04569"}