{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:6OKRJEQFRMFFQRFG4LZMNERVNJ","short_pith_number":"pith:6OKRJEQF","canonical_record":{"source":{"id":"gr-qc/0608031","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-07T02:32:43Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"aecd16a1ca68621f28ffc6ba5b8cb097e9d7714c1ea656acb9513de8d5addbe6","abstract_canon_sha256":"e3f5665ac5306cc6ab1a9bf7efb520d9e159808594dc6bb50677e0b3f9320ccd"},"schema_version":"1.0"},"canonical_sha256":"f3951492058b0a5844a6e2f2c692356a72110f6bf453d74b8cdaa21730bf5398","source":{"kind":"arxiv","id":"gr-qc/0608031","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0608031","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0608031v2","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0608031","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"pith_short_12","alias_value":"6OKRJEQFRMFF","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"pith_short_16","alias_value":"6OKRJEQFRMFFQRFG","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"pith_short_8","alias_value":"6OKRJEQF","created_at":"2026-07-04T14:55:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:6OKRJEQFRMFFQRFG4LZMNERVNJ","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0608031","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-07T02:32:43Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"aecd16a1ca68621f28ffc6ba5b8cb097e9d7714c1ea656acb9513de8d5addbe6","abstract_canon_sha256":"e3f5665ac5306cc6ab1a9bf7efb520d9e159808594dc6bb50677e0b3f9320ccd"},"schema_version":"1.0"},"canonical_sha256":"f3951492058b0a5844a6e2f2c692356a72110f6bf453d74b8cdaa21730bf5398","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:55:57.020388Z","signature_b64":"nUN3QXy0Jlw0pVSXS7hlw1YI1qTQLuDQR1Qbif78t21V9U/84UjvEoeO+kI4RgBl/yJNkR5L664B1DjfBWH4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3951492058b0a5844a6e2f2c692356a72110f6bf453d74b8cdaa21730bf5398","last_reissued_at":"2026-07-04T14:55:57.019959Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:55:57.019959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0608031","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":"2026-07-04T14:55:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gs4/Hn4isIU+q9g4nlbzKfzH7YW/yuEaH+SP/ng9IAKF8pqwT9PEtVGhxeC0x7TK6mKuDpR9yH80xl3xvDQ4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:45:53.063419Z"},"content_sha256":"50cea6541fc03165a247e6fc1b113bfd44a9b5dc6cea76de3c050aa16cc6747c","schema_version":"1.0","event_id":"sha256:50cea6541fc03165a247e6fc1b113bfd44a9b5dc6cea76de3c050aa16cc6747c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:6OKRJEQFRMFFQRFG4LZMNERVNJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Lagrangian description of interacting dark energy","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Nikodem J. Poplawski","submitted_at":"2006-08-07T02:32:43Z","abstract_excerpt":"We propose a relativistically covariant model of interacting dark energy based on the principle of least action. The cosmological term $\\Lambda$ in the gravitational Lagrangian is a function of the trace of the energy--momentum tensor $T$. We find that the $\\Lambda(T)$ gravity is more general than the Palatini $f(R)$ gravity, and reduces to the latter if we neglect the pressure of matter. We show that recent cosmological data favor a variable cosmological constant and are consistent with the $\\Lambda(T)$ gravity, without knowing the specific function $\\Lambda(T)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0608031","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/0608031/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:55:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yDNlNK6pSRYySD3kndhHWk4I8eVjI7uHU+6xWCuymQwYoXicgL3AMOlwqEV0QuRaSNjE6FAEBOMDiKYXSfcMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:45:53.063929Z"},"content_sha256":"e5415dbb6109aa142f3c64de660a01b31ca9b9b14b288aca903439fafa629e2a","schema_version":"1.0","event_id":"sha256:e5415dbb6109aa142f3c64de660a01b31ca9b9b14b288aca903439fafa629e2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6OKRJEQFRMFFQRFG4LZMNERVNJ/bundle.json","state_url":"https://pith.science/pith/6OKRJEQFRMFFQRFG4LZMNERVNJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6OKRJEQFRMFFQRFG4LZMNERVNJ/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":"2026-08-05T13:45:53Z","links":{"resolver":"https://pith.science/pith/6OKRJEQFRMFFQRFG4LZMNERVNJ","bundle":"https://pith.science/pith/6OKRJEQFRMFFQRFG4LZMNERVNJ/bundle.json","state":"https://pith.science/pith/6OKRJEQFRMFFQRFG4LZMNERVNJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6OKRJEQFRMFFQRFG4LZMNERVNJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:6OKRJEQFRMFFQRFG4LZMNERVNJ","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":"e3f5665ac5306cc6ab1a9bf7efb520d9e159808594dc6bb50677e0b3f9320ccd","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-07T02:32:43Z","title_canon_sha256":"aecd16a1ca68621f28ffc6ba5b8cb097e9d7714c1ea656acb9513de8d5addbe6"},"schema_version":"1.0","source":{"id":"gr-qc/0608031","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0608031","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0608031v2","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0608031","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"pith_short_12","alias_value":"6OKRJEQFRMFF","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"pith_short_16","alias_value":"6OKRJEQFRMFFQRFG","created_at":"2026-07-04T14:55:57Z"},{"alias_kind":"pith_short_8","alias_value":"6OKRJEQF","created_at":"2026-07-04T14:55:57Z"}],"graph_snapshots":[{"event_id":"sha256:e5415dbb6109aa142f3c64de660a01b31ca9b9b14b288aca903439fafa629e2a","target":"graph","created_at":"2026-07-04T14:55:57Z","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/gr-qc/0608031/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a relativistically covariant model of interacting dark energy based on the principle of least action. The cosmological term $\\Lambda$ in the gravitational Lagrangian is a function of the trace of the energy--momentum tensor $T$. We find that the $\\Lambda(T)$ gravity is more general than the Palatini $f(R)$ gravity, and reduces to the latter if we neglect the pressure of matter. We show that recent cosmological data favor a variable cosmological constant and are consistent with the $\\Lambda(T)$ gravity, without knowing the specific function $\\Lambda(T)$.","authors_text":"Nikodem J. Poplawski","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-08-07T02:32:43Z","title":"A Lagrangian description of interacting dark energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0608031","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":"sha256:50cea6541fc03165a247e6fc1b113bfd44a9b5dc6cea76de3c050aa16cc6747c","target":"record","created_at":"2026-07-04T14:55:57Z","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":"e3f5665ac5306cc6ab1a9bf7efb520d9e159808594dc6bb50677e0b3f9320ccd","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-08-07T02:32:43Z","title_canon_sha256":"aecd16a1ca68621f28ffc6ba5b8cb097e9d7714c1ea656acb9513de8d5addbe6"},"schema_version":"1.0","source":{"id":"gr-qc/0608031","kind":"arxiv","version":2}},"canonical_sha256":"f3951492058b0a5844a6e2f2c692356a72110f6bf453d74b8cdaa21730bf5398","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3951492058b0a5844a6e2f2c692356a72110f6bf453d74b8cdaa21730bf5398","first_computed_at":"2026-07-04T14:55:57.019959Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:55:57.019959Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nUN3QXy0Jlw0pVSXS7hlw1YI1qTQLuDQR1Qbif78t21V9U/84UjvEoeO+kI4RgBl/yJNkR5L664B1DjfBWH4Ag==","signature_status":"signed_v1","signed_at":"2026-07-04T14:55:57.020388Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0608031","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50cea6541fc03165a247e6fc1b113bfd44a9b5dc6cea76de3c050aa16cc6747c","sha256:e5415dbb6109aa142f3c64de660a01b31ca9b9b14b288aca903439fafa629e2a"],"state_sha256":"039eaa5ea9d61edfe36db1d5e29fbc8dcb997102614a1d6ed6a756f51d092c4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A/6I/oYdDCMRJheC9qrRFIF+RvDWh3DLBDxOF69qXgSRuX+3tVqeco0eIa749+XLjy4wMZlkDNnufwoy/OYaDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T13:45:53.068423Z","bundle_sha256":"b1fc04de7d72ab5ff9f3f664de2c5aa0234a2d61d804119368e4fa589da5783b"}}