{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ST37YX7X35GCLPMM47AKYK2EI7","short_pith_number":"pith:ST37YX7X","canonical_record":{"source":{"id":"2606.09819","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-08T17:56:43Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"1ce527bacd1d1335d38a560a77c75fcd11db36104a01e463b8bf0cf1235e660e","abstract_canon_sha256":"cc4704d023e48fade16a50f892e58dbb69e522ea8335382aaac82dc8a2af20d8"},"schema_version":"1.0"},"canonical_sha256":"94f7fc5ff7df4c25bd8ce7c0ac2b4447d643ad951438db6d83bd8858c6099b9d","source":{"kind":"arxiv","id":"2606.09819","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.09819","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.09819v1","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09819","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"ST37YX7X35GC","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"pith_short_16","alias_value":"ST37YX7X35GCLPMM","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"pith_short_8","alias_value":"ST37YX7X","created_at":"2026-06-09T02:09:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ST37YX7X35GCLPMM47AKYK2EI7","target":"record","payload":{"canonical_record":{"source":{"id":"2606.09819","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-08T17:56:43Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"1ce527bacd1d1335d38a560a77c75fcd11db36104a01e463b8bf0cf1235e660e","abstract_canon_sha256":"cc4704d023e48fade16a50f892e58dbb69e522ea8335382aaac82dc8a2af20d8"},"schema_version":"1.0"},"canonical_sha256":"94f7fc5ff7df4c25bd8ce7c0ac2b4447d643ad951438db6d83bd8858c6099b9d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-09T02:09:12.320313Z","signature_b64":"+mdff8gBYNrtEA2QIHSVmDHYPHLHY93/D/ybqEZWLSZ/wQr1h/pnRI6pVvlS630uGVvmErL1DLOhOXMM4STQAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94f7fc5ff7df4c25bd8ce7c0ac2b4447d643ad951438db6d83bd8858c6099b9d","last_reissued_at":"2026-06-09T02:09:12.319487Z","signature_status":"signed_v1","first_computed_at":"2026-06-09T02:09:12.319487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.09819","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-09T02:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZG1HtfzCk2sa7yfP89imGuolpdvn71/cLIQasZ+2LSz1yaxdQMg7znXTYEGFB2MQKqRZ64P8iwZSPZUugW8DAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T18:57:48.052860Z"},"content_sha256":"5c8189a17bdf219a6141003ee087556fc9080e86463c8042a603dbdb45a045db","schema_version":"1.0","event_id":"sha256:5c8189a17bdf219a6141003ee087556fc9080e86463c8042a603dbdb45a045db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ST37YX7X35GCLPMM47AKYK2EI7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear Ricci-Trace Deformations and Operational Equivalence in Rastall-Type Gravity","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Jos\\'e A. C. Nogales, Karen-Luz Burgoa Rosso, Marcelo H. Alavarenga","submitted_at":"2026-06-08T17:56:43Z","abstract_excerpt":"We analyze a class of linear Ricci--trace deformations of Einstein's field equations in which the relative weight between the Ricci tensor and the scalar-curvature trace sector is modified while the metric remains the only gravitational field. The purpose of the analysis is structural rather than phenomenological: we classify the corresponding field-equation class, fix the parameter dictionaries commonly used in the Rastall-gravity literature, and identify which equivalence statements survive after Newtonian calibration. We show that two frequently used parametrizations, \\[ (1-\\epsilon)R_{\\mu\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09819","kind":"arxiv","version":1},"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/2606.09819/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":"2026-06-09T02:09:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fXo8v8i0WLgt6yUF5Fda/I0pjE8uwYtnxgzdtYuCzCHj0lAlXef0J9pVmMf7drskfpDTKgEnCUYVtOQAMed6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T18:57:48.053476Z"},"content_sha256":"de1c9b542439c9221674f798c80f07c3d71f651ee51eed4baee584075a00bf10","schema_version":"1.0","event_id":"sha256:de1c9b542439c9221674f798c80f07c3d71f651ee51eed4baee584075a00bf10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ST37YX7X35GCLPMM47AKYK2EI7/bundle.json","state_url":"https://pith.science/pith/ST37YX7X35GCLPMM47AKYK2EI7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ST37YX7X35GCLPMM47AKYK2EI7/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":"2026-08-06T18:57:48Z","links":{"resolver":"https://pith.science/pith/ST37YX7X35GCLPMM47AKYK2EI7","bundle":"https://pith.science/pith/ST37YX7X35GCLPMM47AKYK2EI7/bundle.json","state":"https://pith.science/pith/ST37YX7X35GCLPMM47AKYK2EI7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ST37YX7X35GCLPMM47AKYK2EI7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ST37YX7X35GCLPMM47AKYK2EI7","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":"cc4704d023e48fade16a50f892e58dbb69e522ea8335382aaac82dc8a2af20d8","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-08T17:56:43Z","title_canon_sha256":"1ce527bacd1d1335d38a560a77c75fcd11db36104a01e463b8bf0cf1235e660e"},"schema_version":"1.0","source":{"id":"2606.09819","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.09819","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.09819v1","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09819","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"pith_short_12","alias_value":"ST37YX7X35GC","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"pith_short_16","alias_value":"ST37YX7X35GCLPMM","created_at":"2026-06-09T02:09:12Z"},{"alias_kind":"pith_short_8","alias_value":"ST37YX7X","created_at":"2026-06-09T02:09:12Z"}],"graph_snapshots":[{"event_id":"sha256:de1c9b542439c9221674f798c80f07c3d71f651ee51eed4baee584075a00bf10","target":"graph","created_at":"2026-06-09T02:09:12Z","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/2606.09819/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We analyze a class of linear Ricci--trace deformations of Einstein's field equations in which the relative weight between the Ricci tensor and the scalar-curvature trace sector is modified while the metric remains the only gravitational field. The purpose of the analysis is structural rather than phenomenological: we classify the corresponding field-equation class, fix the parameter dictionaries commonly used in the Rastall-gravity literature, and identify which equivalence statements survive after Newtonian calibration. We show that two frequently used parametrizations, \\[ (1-\\epsilon)R_{\\mu\\","authors_text":"Jos\\'e A. C. Nogales, Karen-Luz Burgoa Rosso, Marcelo H. Alavarenga","cross_cats":["astro-ph.CO"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-08T17:56:43Z","title":"Linear Ricci-Trace Deformations and Operational Equivalence in Rastall-Type Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09819","kind":"arxiv","version":1},"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":"sha256:5c8189a17bdf219a6141003ee087556fc9080e86463c8042a603dbdb45a045db","target":"record","created_at":"2026-06-09T02:09:12Z","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":"cc4704d023e48fade16a50f892e58dbb69e522ea8335382aaac82dc8a2af20d8","cross_cats_sorted":["astro-ph.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-06-08T17:56:43Z","title_canon_sha256":"1ce527bacd1d1335d38a560a77c75fcd11db36104a01e463b8bf0cf1235e660e"},"schema_version":"1.0","source":{"id":"2606.09819","kind":"arxiv","version":1}},"canonical_sha256":"94f7fc5ff7df4c25bd8ce7c0ac2b4447d643ad951438db6d83bd8858c6099b9d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94f7fc5ff7df4c25bd8ce7c0ac2b4447d643ad951438db6d83bd8858c6099b9d","first_computed_at":"2026-06-09T02:09:12.319487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:09:12.319487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+mdff8gBYNrtEA2QIHSVmDHYPHLHY93/D/ybqEZWLSZ/wQr1h/pnRI6pVvlS630uGVvmErL1DLOhOXMM4STQAw==","signature_status":"signed_v1","signed_at":"2026-06-09T02:09:12.320313Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.09819","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c8189a17bdf219a6141003ee087556fc9080e86463c8042a603dbdb45a045db","sha256:de1c9b542439c9221674f798c80f07c3d71f651ee51eed4baee584075a00bf10"],"state_sha256":"5fab57bde9ce1ae3bccb58c9589967c34c420cfec918c4b362506f064839440a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tBe7MNXeqYU7BJCpnVMdoBqYdAvsR2+H22Ek0Uzboiw57+UAxNseqkYjYJHbKixUKZql5XJrOwWZh+BL0UR3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T18:57:48.057602Z","bundle_sha256":"42ac1f0ffd1b507b5b33347d782412be00f32b73be49ea1a6358616112c95ce3"}}