{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5UFATX7DK5SSE57J3HHSPJMBVF","short_pith_number":"pith:5UFATX7D","canonical_record":{"source":{"id":"1602.01705","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-03T18:09:01Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"75660b47a2d14fca4425256bfccbbfffe74f0c9f6d24624f7a9f791d1c5ff646","abstract_canon_sha256":"f138dec8072c649c76ac2b1b14c4149bb3ecf1f738bdfcfc8fa1ada400bfba6a"},"schema_version":"1.0"},"canonical_sha256":"ed0a09dfe357652277e9d9cf27a581a975bc5f661efbacd4f2944e632ff65a1e","source":{"kind":"arxiv","id":"1602.01705","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01705","created_at":"2026-05-18T01:18:37Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01705v2","created_at":"2026-05-18T01:18:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01705","created_at":"2026-05-18T01:18:37Z"},{"alias_kind":"pith_short_12","alias_value":"5UFATX7DK5SS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5UFATX7DK5SSE57J","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5UFATX7D","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5UFATX7DK5SSE57J3HHSPJMBVF","target":"record","payload":{"canonical_record":{"source":{"id":"1602.01705","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-03T18:09:01Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"75660b47a2d14fca4425256bfccbbfffe74f0c9f6d24624f7a9f791d1c5ff646","abstract_canon_sha256":"f138dec8072c649c76ac2b1b14c4149bb3ecf1f738bdfcfc8fa1ada400bfba6a"},"schema_version":"1.0"},"canonical_sha256":"ed0a09dfe357652277e9d9cf27a581a975bc5f661efbacd4f2944e632ff65a1e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:37.623645Z","signature_b64":"AmOqjBlkc+FzWE9A2gGLZ8eHZZZPitsbkge/lUeCiAfMWRJj/dXckv0IgHknRr2pGGi2M3EzVCEYwASKsEprBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed0a09dfe357652277e9d9cf27a581a975bc5f661efbacd4f2944e632ff65a1e","last_reissued_at":"2026-05-18T01:18:37.623167Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:37.623167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.01705","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":"2026-05-18T01:18:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FGB+KDpqiPjzOju9b1QxY79WpJtik122Xyi9oTkvDRsrVMZW4QmvYILQkIb0b/F3lAVM7f93kDAv7U6QncJEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:46:52.067600Z"},"content_sha256":"3f4b3cc72889b8e8d5c0636a952539e8dd4d0808cc7851810240d5c9826325c7","schema_version":"1.0","event_id":"sha256:3f4b3cc72889b8e8d5c0636a952539e8dd4d0808cc7851810240d5c9826325c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5UFATX7DK5SSE57J3HHSPJMBVF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravity and Cosmology with Interacting Dark Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"A.S. Silbergleit","submitted_at":"2016-02-03T18:09:01Z","abstract_excerpt":"Dark energy (DE) is not necessarily uniform when other sources of gravity are present: interaction with matter leads to its variation in space and time. We study cosmological implications of this fact by analyzing cosmological models in which DE density interacts with matter and thus changes with time. We model the DE--matter interaction by specifying the rate of change of the DE density as an arbitrary function of it and the density of matter, in a single--phase case. In the case of several matter components interacting with dark energy we assume the rate of every interacting phase density to"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01705","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":"2026-05-18T01:18:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N/uLwqYmqtXlX1X29PPIUX5AdB5JT17Stgx/8Je4nk5QUD7uiuSfeN+x9nq/T0Sco5B5ZQ/OzQgU+dx2WzEABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T20:46:52.067952Z"},"content_sha256":"b7de86b58725077668e77ea39abb902dfcf695722e601f2e531be539fd2efcbf","schema_version":"1.0","event_id":"sha256:b7de86b58725077668e77ea39abb902dfcf695722e601f2e531be539fd2efcbf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5UFATX7DK5SSE57J3HHSPJMBVF/bundle.json","state_url":"https://pith.science/pith/5UFATX7DK5SSE57J3HHSPJMBVF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5UFATX7DK5SSE57J3HHSPJMBVF/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":"2026-06-24T20:46:52Z","links":{"resolver":"https://pith.science/pith/5UFATX7DK5SSE57J3HHSPJMBVF","bundle":"https://pith.science/pith/5UFATX7DK5SSE57J3HHSPJMBVF/bundle.json","state":"https://pith.science/pith/5UFATX7DK5SSE57J3HHSPJMBVF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5UFATX7DK5SSE57J3HHSPJMBVF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5UFATX7DK5SSE57J3HHSPJMBVF","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":"f138dec8072c649c76ac2b1b14c4149bb3ecf1f738bdfcfc8fa1ada400bfba6a","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-03T18:09:01Z","title_canon_sha256":"75660b47a2d14fca4425256bfccbbfffe74f0c9f6d24624f7a9f791d1c5ff646"},"schema_version":"1.0","source":{"id":"1602.01705","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01705","created_at":"2026-05-18T01:18:37Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01705v2","created_at":"2026-05-18T01:18:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01705","created_at":"2026-05-18T01:18:37Z"},{"alias_kind":"pith_short_12","alias_value":"5UFATX7DK5SS","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"5UFATX7DK5SSE57J","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"5UFATX7D","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:b7de86b58725077668e77ea39abb902dfcf695722e601f2e531be539fd2efcbf","target":"graph","created_at":"2026-05-18T01:18:37Z","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":"Dark energy (DE) is not necessarily uniform when other sources of gravity are present: interaction with matter leads to its variation in space and time. We study cosmological implications of this fact by analyzing cosmological models in which DE density interacts with matter and thus changes with time. We model the DE--matter interaction by specifying the rate of change of the DE density as an arbitrary function of it and the density of matter, in a single--phase case. In the case of several matter components interacting with dark energy we assume the rate of every interacting phase density to","authors_text":"A.S. Silbergleit","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-03T18:09:01Z","title":"Gravity and Cosmology with Interacting Dark Energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01705","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":"sha256:3f4b3cc72889b8e8d5c0636a952539e8dd4d0808cc7851810240d5c9826325c7","target":"record","created_at":"2026-05-18T01:18:37Z","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":"f138dec8072c649c76ac2b1b14c4149bb3ecf1f738bdfcfc8fa1ada400bfba6a","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-02-03T18:09:01Z","title_canon_sha256":"75660b47a2d14fca4425256bfccbbfffe74f0c9f6d24624f7a9f791d1c5ff646"},"schema_version":"1.0","source":{"id":"1602.01705","kind":"arxiv","version":2}},"canonical_sha256":"ed0a09dfe357652277e9d9cf27a581a975bc5f661efbacd4f2944e632ff65a1e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed0a09dfe357652277e9d9cf27a581a975bc5f661efbacd4f2944e632ff65a1e","first_computed_at":"2026-05-18T01:18:37.623167Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:37.623167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AmOqjBlkc+FzWE9A2gGLZ8eHZZZPitsbkge/lUeCiAfMWRJj/dXckv0IgHknRr2pGGi2M3EzVCEYwASKsEprBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:37.623645Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01705","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f4b3cc72889b8e8d5c0636a952539e8dd4d0808cc7851810240d5c9826325c7","sha256:b7de86b58725077668e77ea39abb902dfcf695722e601f2e531be539fd2efcbf"],"state_sha256":"140b86d595bf05d8bdd9094af25a6dedfa66823f6508c678374b0319b11ccaf4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LsDeVa1r7PnFdRiK2OO2knD6IQRfdm4DLMoLrKuszv4c0kfOQOV+V6VVn6udz9S+V41xv6yLQ5FdtSVLQ+s4CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T20:46:52.070251Z","bundle_sha256":"ce7301364b6a1525e6165448f4ef63885aaa336936778a1dc9c91f25d33dc8e4"}}