{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:UBDBBXOHW6QI3K2RRJ277PGES5","short_pith_number":"pith:UBDBBXOH","canonical_record":{"source":{"id":"2409.16304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-10T15:48:25Z","cross_cats_sorted":[],"title_canon_sha256":"4123980499a58cb62e98b9c2b1a7e5ca24d3d79bea2ed92b64c8f7ffa8d0af51","abstract_canon_sha256":"011455c1d48d5590752fd1edb9c8cdb8ca7577baa6fc30f6ef4f3bbf585f3a35"},"schema_version":"1.0"},"canonical_sha256":"a04610ddc7b7a08dab518a75ffbcc49754040c0bf76f746ea3a6960887237c7d","source":{"kind":"arxiv","id":"2409.16304","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.16304","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"arxiv_version","alias_value":"2409.16304v1","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.16304","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"pith_short_12","alias_value":"UBDBBXOHW6QI","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"pith_short_16","alias_value":"UBDBBXOHW6QI3K2R","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"pith_short_8","alias_value":"UBDBBXOH","created_at":"2026-07-05T09:11:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:UBDBBXOHW6QI3K2RRJ277PGES5","target":"record","payload":{"canonical_record":{"source":{"id":"2409.16304","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-10T15:48:25Z","cross_cats_sorted":[],"title_canon_sha256":"4123980499a58cb62e98b9c2b1a7e5ca24d3d79bea2ed92b64c8f7ffa8d0af51","abstract_canon_sha256":"011455c1d48d5590752fd1edb9c8cdb8ca7577baa6fc30f6ef4f3bbf585f3a35"},"schema_version":"1.0"},"canonical_sha256":"a04610ddc7b7a08dab518a75ffbcc49754040c0bf76f746ea3a6960887237c7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:11:31.171750Z","signature_b64":"JIdGt9lXVF1fIaPbfkM8yRTBAFaFDNYk9nilv5JkGnk9DHlL2HWi/MvIusqvHES0UuqfJ+K98GxWXmlvdMltBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a04610ddc7b7a08dab518a75ffbcc49754040c0bf76f746ea3a6960887237c7d","last_reissued_at":"2026-07-05T09:11:31.171347Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:11:31.171347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.16304","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":"2026-07-05T09:11:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wYuYNncCDSZi1zllFhR2aHYFloTJR6XK7OyhlQtJ9Yk48RXWlzyYOshm3oDJkoB4G6r13uHxqfSTN/vxxLrrAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:35:10.610659Z"},"content_sha256":"a489df19755f367ec398e9764b4c8c686888ccef9e132171ebd11e5b55fe8dba","schema_version":"1.0","event_id":"sha256:a489df19755f367ec398e9764b4c8c686888ccef9e132171ebd11e5b55fe8dba"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:UBDBBXOHW6QI3K2RRJ277PGES5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring Phase Space Trajectories in $\\Lambda$CDM Cosmology with f(G) Gravity Modifications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Anirudh Pradhan, Archana Dixit, N. Myrzakulov, S. H. Shekh","submitted_at":"2024-09-10T15:48:25Z","abstract_excerpt":"In this work, the cosmic solutions, particularly the well-known $\\Lambda$CDM model, are investigated in the framework of the Gauss-Bonnet gravity, where the gravitational action incorporates the Gauss-Bonnet invariant function. We utilize a specialized formulation of the deceleration parameter in terms of the Hubble parameter $H$, given by $q = -1 - \\frac{\\dot{H}}{H^2}$, to solve the field equations. To identify the appropriate model parameters, we align them to the most recent observational datasets, which include 31 data points from the Cosmic Chronometers, Pantheon+, and BAO datasets. The p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.16304","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/2409.16304/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":"2026-07-05T09:11:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JyeS3XUKcy9PFV2pbcpXeXy8qHqsKqo3gHdpLIBCjY34L7Jbnn+yPNY+0T9+Rtcf/UEyRRX/ujVfG22ZmmD8Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T06:35:10.611535Z"},"content_sha256":"6fa0a0ab5c377c2e2cd040a8a1404ac4dec8e1e480acd38f66ae00852a4c3f10","schema_version":"1.0","event_id":"sha256:6fa0a0ab5c377c2e2cd040a8a1404ac4dec8e1e480acd38f66ae00852a4c3f10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBDBBXOHW6QI3K2RRJ277PGES5/bundle.json","state_url":"https://pith.science/pith/UBDBBXOHW6QI3K2RRJ277PGES5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBDBBXOHW6QI3K2RRJ277PGES5/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":"2026-08-16T06:35:10Z","links":{"resolver":"https://pith.science/pith/UBDBBXOHW6QI3K2RRJ277PGES5","bundle":"https://pith.science/pith/UBDBBXOHW6QI3K2RRJ277PGES5/bundle.json","state":"https://pith.science/pith/UBDBBXOHW6QI3K2RRJ277PGES5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBDBBXOHW6QI3K2RRJ277PGES5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:UBDBBXOHW6QI3K2RRJ277PGES5","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":"011455c1d48d5590752fd1edb9c8cdb8ca7577baa6fc30f6ef4f3bbf585f3a35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-10T15:48:25Z","title_canon_sha256":"4123980499a58cb62e98b9c2b1a7e5ca24d3d79bea2ed92b64c8f7ffa8d0af51"},"schema_version":"1.0","source":{"id":"2409.16304","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.16304","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"arxiv_version","alias_value":"2409.16304v1","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.16304","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"pith_short_12","alias_value":"UBDBBXOHW6QI","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"pith_short_16","alias_value":"UBDBBXOHW6QI3K2R","created_at":"2026-07-05T09:11:31Z"},{"alias_kind":"pith_short_8","alias_value":"UBDBBXOH","created_at":"2026-07-05T09:11:31Z"}],"graph_snapshots":[{"event_id":"sha256:6fa0a0ab5c377c2e2cd040a8a1404ac4dec8e1e480acd38f66ae00852a4c3f10","target":"graph","created_at":"2026-07-05T09:11:31Z","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/2409.16304/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, the cosmic solutions, particularly the well-known $\\Lambda$CDM model, are investigated in the framework of the Gauss-Bonnet gravity, where the gravitational action incorporates the Gauss-Bonnet invariant function. We utilize a specialized formulation of the deceleration parameter in terms of the Hubble parameter $H$, given by $q = -1 - \\frac{\\dot{H}}{H^2}$, to solve the field equations. To identify the appropriate model parameters, we align them to the most recent observational datasets, which include 31 data points from the Cosmic Chronometers, Pantheon+, and BAO datasets. The p","authors_text":"Anirudh Pradhan, Archana Dixit, N. Myrzakulov, S. H. Shekh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-10T15:48:25Z","title":"Exploring Phase Space Trajectories in $\\Lambda$CDM Cosmology with f(G) Gravity Modifications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.16304","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:a489df19755f367ec398e9764b4c8c686888ccef9e132171ebd11e5b55fe8dba","target":"record","created_at":"2026-07-05T09:11:31Z","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":"011455c1d48d5590752fd1edb9c8cdb8ca7577baa6fc30f6ef4f3bbf585f3a35","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-09-10T15:48:25Z","title_canon_sha256":"4123980499a58cb62e98b9c2b1a7e5ca24d3d79bea2ed92b64c8f7ffa8d0af51"},"schema_version":"1.0","source":{"id":"2409.16304","kind":"arxiv","version":1}},"canonical_sha256":"a04610ddc7b7a08dab518a75ffbcc49754040c0bf76f746ea3a6960887237c7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a04610ddc7b7a08dab518a75ffbcc49754040c0bf76f746ea3a6960887237c7d","first_computed_at":"2026-07-05T09:11:31.171347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:11:31.171347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JIdGt9lXVF1fIaPbfkM8yRTBAFaFDNYk9nilv5JkGnk9DHlL2HWi/MvIusqvHES0UuqfJ+K98GxWXmlvdMltBw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:11:31.171750Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.16304","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a489df19755f367ec398e9764b4c8c686888ccef9e132171ebd11e5b55fe8dba","sha256:6fa0a0ab5c377c2e2cd040a8a1404ac4dec8e1e480acd38f66ae00852a4c3f10"],"state_sha256":"7e01047ddd2d23a91ed8d874d52ff9b003f31f9a74c5fa3f5194789dd6bc140d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w0Fn3pieJtd9EKBGOB4V13yEnpgHlqW9lJmdZnKo7+g+mcr4sgxb83zKOibnXBCo3IwfNXmVbO0MKOIQ5kEvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T06:35:10.616781Z","bundle_sha256":"16eb4282cafe89c38fe76b381b1490a6e6abc76e95e064abf225828d81eedf44"}}