{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:XFN2IOU6SYO3I3QRWWRNEHSOA3","short_pith_number":"pith:XFN2IOU6","canonical_record":{"source":{"id":"2407.02531","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-01T10:35:12Z","cross_cats_sorted":[],"title_canon_sha256":"a8e6b64fea2c82e8c444d1246188efcf071a677b4cfa8b3a2c7e43d6693834bc","abstract_canon_sha256":"6a76da4d6cf7e3790089f5296306c3b8d93931fb762f3b3f17baddb091021884"},"schema_version":"1.0"},"canonical_sha256":"b95ba43a9e961db46e11b5a2d21e4e06dad62a6c21de6184e1d3cab1fb12daaa","source":{"kind":"arxiv","id":"2407.02531","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02531","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02531v1","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02531","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"pith_short_12","alias_value":"XFN2IOU6SYO3","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"pith_short_16","alias_value":"XFN2IOU6SYO3I3QR","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"pith_short_8","alias_value":"XFN2IOU6","created_at":"2026-07-05T08:39:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:XFN2IOU6SYO3I3QRWWRNEHSOA3","target":"record","payload":{"canonical_record":{"source":{"id":"2407.02531","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-01T10:35:12Z","cross_cats_sorted":[],"title_canon_sha256":"a8e6b64fea2c82e8c444d1246188efcf071a677b4cfa8b3a2c7e43d6693834bc","abstract_canon_sha256":"6a76da4d6cf7e3790089f5296306c3b8d93931fb762f3b3f17baddb091021884"},"schema_version":"1.0"},"canonical_sha256":"b95ba43a9e961db46e11b5a2d21e4e06dad62a6c21de6184e1d3cab1fb12daaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:39:37.973272Z","signature_b64":"Sx9mFwgqfkq+Yc1qcgrbfr3tBS5W/Jme++dUfgF68NgsI9cWpCJlk1KUjYyiKlstnP4YSOOyvG9o31qJdiz0Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b95ba43a9e961db46e11b5a2d21e4e06dad62a6c21de6184e1d3cab1fb12daaa","last_reissued_at":"2026-07-05T08:39:37.972860Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:39:37.972860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.02531","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":"2026-07-05T08:39:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"euZAJxerldTlr1Khk4R2JozlT4rS9+LQAt4Rha9cdGIjsJik/NaSI6i2/c/qoXtXg6uK4o83EaPSimatX9u4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:01:48.391599Z"},"content_sha256":"61c51b9074ff0010f11b3cb778a75196917a1412f180832070345cd8fd9366d1","schema_version":"1.0","event_id":"sha256:61c51b9074ff0010f11b3cb778a75196917a1412f180832070345cd8fd9366d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:XFN2IOU6SYO3I3QRWWRNEHSOA3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosmic Expansion and Noether Gauge Symmetries in $f(R,T,R_{\\mu\\nu}T^{\\mu\\nu})$ Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Iqra Nawazish, M. Sharif","submitted_at":"2024-07-01T10:35:12Z","abstract_excerpt":"The present work explores different evolutionary phases of isotropically homogeneous and flat cosmos filled with dust fluid in non-minimally coupled gravity. We consider different models of this gravity to discuss the presence of symmetry generators together with conserved integrals using Nother Gauge symmetry scheme. In most of the cases, we obtain temporal and scaling symmetries that yield conservation of energy and linear momentum, respectively. In the absence of contracted Ricci and energy-momentum tensors, we obtain maximum symmetries but none of them correspond to any standard symmetry o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02531","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/2407.02531/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":"2026-07-05T08:39:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HekWjk5X1D5jktQHrwHWUbcRAGsuGJgCCtYMMKfkRScuAYZRyceJj2pegV6nmnrIdVbASDUSM3lS93J6S5gECQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T19:01:48.392155Z"},"content_sha256":"c04f2fda78154deba1da702dd03b4afaf3b80e1eb123a2d1a4eba293d4a78990","schema_version":"1.0","event_id":"sha256:c04f2fda78154deba1da702dd03b4afaf3b80e1eb123a2d1a4eba293d4a78990"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XFN2IOU6SYO3I3QRWWRNEHSOA3/bundle.json","state_url":"https://pith.science/pith/XFN2IOU6SYO3I3QRWWRNEHSOA3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XFN2IOU6SYO3I3QRWWRNEHSOA3/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":"2026-08-04T19:01:48Z","links":{"resolver":"https://pith.science/pith/XFN2IOU6SYO3I3QRWWRNEHSOA3","bundle":"https://pith.science/pith/XFN2IOU6SYO3I3QRWWRNEHSOA3/bundle.json","state":"https://pith.science/pith/XFN2IOU6SYO3I3QRWWRNEHSOA3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XFN2IOU6SYO3I3QRWWRNEHSOA3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:XFN2IOU6SYO3I3QRWWRNEHSOA3","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":"6a76da4d6cf7e3790089f5296306c3b8d93931fb762f3b3f17baddb091021884","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-01T10:35:12Z","title_canon_sha256":"a8e6b64fea2c82e8c444d1246188efcf071a677b4cfa8b3a2c7e43d6693834bc"},"schema_version":"1.0","source":{"id":"2407.02531","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.02531","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"arxiv_version","alias_value":"2407.02531v1","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.02531","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"pith_short_12","alias_value":"XFN2IOU6SYO3","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"pith_short_16","alias_value":"XFN2IOU6SYO3I3QR","created_at":"2026-07-05T08:39:37Z"},{"alias_kind":"pith_short_8","alias_value":"XFN2IOU6","created_at":"2026-07-05T08:39:37Z"}],"graph_snapshots":[{"event_id":"sha256:c04f2fda78154deba1da702dd03b4afaf3b80e1eb123a2d1a4eba293d4a78990","target":"graph","created_at":"2026-07-05T08:39:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2407.02531/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The present work explores different evolutionary phases of isotropically homogeneous and flat cosmos filled with dust fluid in non-minimally coupled gravity. We consider different models of this gravity to discuss the presence of symmetry generators together with conserved integrals using Nother Gauge symmetry scheme. In most of the cases, we obtain temporal and scaling symmetries that yield conservation of energy and linear momentum, respectively. In the absence of contracted Ricci and energy-momentum tensors, we obtain maximum symmetries but none of them correspond to any standard symmetry o","authors_text":"Iqra Nawazish, M. Sharif","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-01T10:35:12Z","title":"Cosmic Expansion and Noether Gauge Symmetries in $f(R,T,R_{\\mu\\nu}T^{\\mu\\nu})$ Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.02531","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":"sha256:61c51b9074ff0010f11b3cb778a75196917a1412f180832070345cd8fd9366d1","target":"record","created_at":"2026-07-05T08:39:37Z","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":"6a76da4d6cf7e3790089f5296306c3b8d93931fb762f3b3f17baddb091021884","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-07-01T10:35:12Z","title_canon_sha256":"a8e6b64fea2c82e8c444d1246188efcf071a677b4cfa8b3a2c7e43d6693834bc"},"schema_version":"1.0","source":{"id":"2407.02531","kind":"arxiv","version":1}},"canonical_sha256":"b95ba43a9e961db46e11b5a2d21e4e06dad62a6c21de6184e1d3cab1fb12daaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b95ba43a9e961db46e11b5a2d21e4e06dad62a6c21de6184e1d3cab1fb12daaa","first_computed_at":"2026-07-05T08:39:37.972860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:39:37.972860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sx9mFwgqfkq+Yc1qcgrbfr3tBS5W/Jme++dUfgF68NgsI9cWpCJlk1KUjYyiKlstnP4YSOOyvG9o31qJdiz0Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:39:37.973272Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.02531","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61c51b9074ff0010f11b3cb778a75196917a1412f180832070345cd8fd9366d1","sha256:c04f2fda78154deba1da702dd03b4afaf3b80e1eb123a2d1a4eba293d4a78990"],"state_sha256":"69acc03d0b1c36162f6bbb2fc94f77e79aaba3b73275ecc01c14f556c7577106"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g0A4dDFSfu7wPiEL5qReryGNyGYQOfAzddYHcgvwN0VrsiMMkNyOedDoak/iVJlye9i626jGomR70zqQq416BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T19:01:48.396969Z","bundle_sha256":"247fe7a2a46df179a17115d22bb635a73820b66bfed3248366b07647f4d6cd50"}}