{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3WTAN3WI3CGUW7PO5N7QZK6S7L","short_pith_number":"pith:3WTAN3WI","canonical_record":{"source":{"id":"1405.7288","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-28T16:06:25Z","cross_cats_sorted":[],"title_canon_sha256":"64b45638916078f61d7ab570f815e1305706e1d5a542c1647daa965aa5e66a58","abstract_canon_sha256":"1d1cc2c956b872b6e44e625262dd12886648f7d7517da97207db72ba1b3d0b69"},"schema_version":"1.0"},"canonical_sha256":"dda606eec8d88d4b7deeeb7f0cabd2fad8fc5ff2407971e5e0658e12ee485f19","source":{"kind":"arxiv","id":"1405.7288","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7288","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7288v2","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7288","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"3WTAN3WI3CGU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3WTAN3WI3CGUW7PO","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3WTAN3WI","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3WTAN3WI3CGUW7PO5N7QZK6S7L","target":"record","payload":{"canonical_record":{"source":{"id":"1405.7288","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-28T16:06:25Z","cross_cats_sorted":[],"title_canon_sha256":"64b45638916078f61d7ab570f815e1305706e1d5a542c1647daa965aa5e66a58","abstract_canon_sha256":"1d1cc2c956b872b6e44e625262dd12886648f7d7517da97207db72ba1b3d0b69"},"schema_version":"1.0"},"canonical_sha256":"dda606eec8d88d4b7deeeb7f0cabd2fad8fc5ff2407971e5e0658e12ee485f19","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:46.105341Z","signature_b64":"pyEHjTuRojZNQt6msgu3vZjjjDDvijVESmxd6pABt6qoyRTJ/mPmNtsL62X7cO7/BueV8nL1/Mdblf+WgdjiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dda606eec8d88d4b7deeeb7f0cabd2fad8fc5ff2407971e5e0658e12ee485f19","last_reissued_at":"2026-05-18T02:42:46.104812Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:46.104812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.7288","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0aLBS27QD5pkzHmOuVC98kIjZAKQL29j951CDNSVFP3rfBQVtcMcGZF0qNhwGrCwdaqyIONBHJeFC+4/YLwyCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:46:44.496403Z"},"content_sha256":"e0c601eab386f85c6830259b680082d4c76206cab958c35a27dbc8c44fadcde0","schema_version":"1.0","event_id":"sha256:e0c601eab386f85c6830259b680082d4c76206cab958c35a27dbc8c44fadcde0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3WTAN3WI3CGUW7PO5N7QZK6S7L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Covariantizing the interaction between dark energy and dark matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emmanuel N. Saridakis, James B. Dent, Valerio Faraoni","submitted_at":"2014-05-28T16:06:25Z","abstract_excerpt":"Coupling dark energy and dark matter through an effective fluid description is a very common procedure in cosmology, however it always remains in comoving coordinates in the special FLRW space. We construct a consistent, general, and covariant formulation, where the interaction is a natural implication of the imperfectness of the fluids. This imperfectness makes difficult the final step towards a robust formulation of interacting fluids, namely the construction of a Lagrangian whose variation would give rise to the interacting equations. Nevertheless, we present a formal solution to this probl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7288","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:42:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iP1NP+CZgER09x3rCXNaFOSnT22bXHYAHjdlcDN6IEuBL+uckzlhl9ZcEXEFgMLzLW3r7M98kzfAmaagcVTiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:46:44.496753Z"},"content_sha256":"8cfd58e8a03ad25bf3e0c60cfba27b770e440ba4b9b349d363a3cf3c8db8a85d","schema_version":"1.0","event_id":"sha256:8cfd58e8a03ad25bf3e0c60cfba27b770e440ba4b9b349d363a3cf3c8db8a85d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3WTAN3WI3CGUW7PO5N7QZK6S7L/bundle.json","state_url":"https://pith.science/pith/3WTAN3WI3CGUW7PO5N7QZK6S7L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3WTAN3WI3CGUW7PO5N7QZK6S7L/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T09:46:44Z","links":{"resolver":"https://pith.science/pith/3WTAN3WI3CGUW7PO5N7QZK6S7L","bundle":"https://pith.science/pith/3WTAN3WI3CGUW7PO5N7QZK6S7L/bundle.json","state":"https://pith.science/pith/3WTAN3WI3CGUW7PO5N7QZK6S7L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3WTAN3WI3CGUW7PO5N7QZK6S7L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3WTAN3WI3CGUW7PO5N7QZK6S7L","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":"1d1cc2c956b872b6e44e625262dd12886648f7d7517da97207db72ba1b3d0b69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-28T16:06:25Z","title_canon_sha256":"64b45638916078f61d7ab570f815e1305706e1d5a542c1647daa965aa5e66a58"},"schema_version":"1.0","source":{"id":"1405.7288","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7288","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7288v2","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7288","created_at":"2026-05-18T02:42:46Z"},{"alias_kind":"pith_short_12","alias_value":"3WTAN3WI3CGU","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3WTAN3WI3CGUW7PO","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3WTAN3WI","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:8cfd58e8a03ad25bf3e0c60cfba27b770e440ba4b9b349d363a3cf3c8db8a85d","target":"graph","created_at":"2026-05-18T02:42:46Z","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":"Coupling dark energy and dark matter through an effective fluid description is a very common procedure in cosmology, however it always remains in comoving coordinates in the special FLRW space. We construct a consistent, general, and covariant formulation, where the interaction is a natural implication of the imperfectness of the fluids. This imperfectness makes difficult the final step towards a robust formulation of interacting fluids, namely the construction of a Lagrangian whose variation would give rise to the interacting equations. Nevertheless, we present a formal solution to this probl","authors_text":"Emmanuel N. Saridakis, James B. Dent, Valerio Faraoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-28T16:06:25Z","title":"Covariantizing the interaction between dark energy and dark matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7288","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:e0c601eab386f85c6830259b680082d4c76206cab958c35a27dbc8c44fadcde0","target":"record","created_at":"2026-05-18T02:42:46Z","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":"1d1cc2c956b872b6e44e625262dd12886648f7d7517da97207db72ba1b3d0b69","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-05-28T16:06:25Z","title_canon_sha256":"64b45638916078f61d7ab570f815e1305706e1d5a542c1647daa965aa5e66a58"},"schema_version":"1.0","source":{"id":"1405.7288","kind":"arxiv","version":2}},"canonical_sha256":"dda606eec8d88d4b7deeeb7f0cabd2fad8fc5ff2407971e5e0658e12ee485f19","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dda606eec8d88d4b7deeeb7f0cabd2fad8fc5ff2407971e5e0658e12ee485f19","first_computed_at":"2026-05-18T02:42:46.104812Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:42:46.104812Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pyEHjTuRojZNQt6msgu3vZjjjDDvijVESmxd6pABt6qoyRTJ/mPmNtsL62X7cO7/BueV8nL1/Mdblf+WgdjiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:42:46.105341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7288","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0c601eab386f85c6830259b680082d4c76206cab958c35a27dbc8c44fadcde0","sha256:8cfd58e8a03ad25bf3e0c60cfba27b770e440ba4b9b349d363a3cf3c8db8a85d"],"state_sha256":"fe2add83f6d33bf98a7c0a9b47ce9e6045f4d97d8c0b8c25b146968af7e0d18e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DhYP3KarGlK7MQ2F3SjV3Dh4z06aq7UoHA5T3JvParizcbZj4D9Ta63OfLGsI+da8tuwBUGtKGpI/zhs2FiZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T09:46:44.498823Z","bundle_sha256":"890785d31abeb77ab5dd18ff5a708220074e6c55ea02742a5aede2b1ca503bbb"}}