{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:VJB346Q7YWESNNR4WMDN5CN4ZO","short_pith_number":"pith:VJB346Q7","canonical_record":{"source":{"id":"2010.09444","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2020-10-05T15:19:42Z","cross_cats_sorted":[],"title_canon_sha256":"f0b94234d11ab02f80da0e6fb65705c70ab71713978b8b0d0304068dc5ae457e","abstract_canon_sha256":"a1f1fc46aff8a09040b2971ef05c2ddd93501e253926e3fc5630556fa6cdf4e2"},"schema_version":"1.0"},"canonical_sha256":"aa43be7a1fc58926b63cb306de89bccbb0e5aebd55a55fab28cf5a17bb70ce8c","source":{"kind":"arxiv","id":"2010.09444","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.09444","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"2010.09444v1","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.09444","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"VJB346Q7YWES","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"pith_short_16","alias_value":"VJB346Q7YWESNNR4","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"pith_short_8","alias_value":"VJB346Q7","created_at":"2026-07-05T03:01:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:VJB346Q7YWESNNR4WMDN5CN4ZO","target":"record","payload":{"canonical_record":{"source":{"id":"2010.09444","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2020-10-05T15:19:42Z","cross_cats_sorted":[],"title_canon_sha256":"f0b94234d11ab02f80da0e6fb65705c70ab71713978b8b0d0304068dc5ae457e","abstract_canon_sha256":"a1f1fc46aff8a09040b2971ef05c2ddd93501e253926e3fc5630556fa6cdf4e2"},"schema_version":"1.0"},"canonical_sha256":"aa43be7a1fc58926b63cb306de89bccbb0e5aebd55a55fab28cf5a17bb70ce8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:01:53.435104Z","signature_b64":"arK2vXAMfrpIbWLbGlTV8xPWMZp6QbWjNTLhe2McJ1zLjrMB9zrsRdqJbmnawQEyRf/qQ/WCtMZgotrvvmOTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa43be7a1fc58926b63cb306de89bccbb0e5aebd55a55fab28cf5a17bb70ce8c","last_reissued_at":"2026-07-05T03:01:53.434696Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:01:53.434696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2010.09444","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":"2026-07-05T03:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pq6ZDdQT+EF/zNrTTQAQfNc44i2WOKrARCRbKkFewPkVUs4D23DvtEJGKLA6Vs3IeMubo4DPogE6t2jof4QzAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:39:50.268467Z"},"content_sha256":"3635ff0466825397b688c91bb404652df2f8179e8505f46cd66846583416c18c","schema_version":"1.0","event_id":"sha256:3635ff0466825397b688c91bb404652df2f8179e8505f46cd66846583416c18c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:VJB346Q7YWESNNR4WMDN5CN4ZO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A flat FRW model with dynamical $\\Lambda$ as function of matter and geometry","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Anirudh Pradhan, D. C. Maurya, De Avik, Tee How Loo","submitted_at":"2020-10-05T15:19:42Z","abstract_excerpt":"We revisit the evolution of the scale factor in a flat FRW spacetime with a new generalized decay rule for the dynamic $\\Lambda$-term under modified theories of gravity. It analyses certain cosmological parameters and examines their behaviours in this generalized setting which includes several decay laws in the literature. We have also obtained observational constraints on various model parameters and estimated the present values of cosmological parameters $\\{\\Omega_{m_0}$, $\\Omega_{\\Lambda_0}$, $q_{0}, t_{0}$, $\\omega_{0}\\}$ and have discussed with various observational results. Finite time p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.09444","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/2010.09444/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":"2026-07-05T03:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GDyluowaU54Kd17ItY2S6j3WD/jzTAiz98kirulupr0WQm+3+W7coBWhVoByd9Tz5/3jncC1j+9w6fzZPD9YDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T20:39:50.268966Z"},"content_sha256":"eb6600678ef3fc1b3f327894771257c3aa9c710bf01b7259cc3a017cdbb5d433","schema_version":"1.0","event_id":"sha256:eb6600678ef3fc1b3f327894771257c3aa9c710bf01b7259cc3a017cdbb5d433"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VJB346Q7YWESNNR4WMDN5CN4ZO/bundle.json","state_url":"https://pith.science/pith/VJB346Q7YWESNNR4WMDN5CN4ZO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VJB346Q7YWESNNR4WMDN5CN4ZO/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":"2026-08-11T20:39:50Z","links":{"resolver":"https://pith.science/pith/VJB346Q7YWESNNR4WMDN5CN4ZO","bundle":"https://pith.science/pith/VJB346Q7YWESNNR4WMDN5CN4ZO/bundle.json","state":"https://pith.science/pith/VJB346Q7YWESNNR4WMDN5CN4ZO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VJB346Q7YWESNNR4WMDN5CN4ZO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VJB346Q7YWESNNR4WMDN5CN4ZO","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":"a1f1fc46aff8a09040b2971ef05c2ddd93501e253926e3fc5630556fa6cdf4e2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2020-10-05T15:19:42Z","title_canon_sha256":"f0b94234d11ab02f80da0e6fb65705c70ab71713978b8b0d0304068dc5ae457e"},"schema_version":"1.0","source":{"id":"2010.09444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2010.09444","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"2010.09444v1","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.09444","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"VJB346Q7YWES","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"pith_short_16","alias_value":"VJB346Q7YWESNNR4","created_at":"2026-07-05T03:01:53Z"},{"alias_kind":"pith_short_8","alias_value":"VJB346Q7","created_at":"2026-07-05T03:01:53Z"}],"graph_snapshots":[{"event_id":"sha256:eb6600678ef3fc1b3f327894771257c3aa9c710bf01b7259cc3a017cdbb5d433","target":"graph","created_at":"2026-07-05T03:01:53Z","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/2010.09444/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the evolution of the scale factor in a flat FRW spacetime with a new generalized decay rule for the dynamic $\\Lambda$-term under modified theories of gravity. It analyses certain cosmological parameters and examines their behaviours in this generalized setting which includes several decay laws in the literature. We have also obtained observational constraints on various model parameters and estimated the present values of cosmological parameters $\\{\\Omega_{m_0}$, $\\Omega_{\\Lambda_0}$, $q_{0}, t_{0}$, $\\omega_{0}\\}$ and have discussed with various observational results. Finite time p","authors_text":"Anirudh Pradhan, D. C. Maurya, De Avik, Tee How Loo","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2020-10-05T15:19:42Z","title":"A flat FRW model with dynamical $\\Lambda$ as function of matter and geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.09444","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":"sha256:3635ff0466825397b688c91bb404652df2f8179e8505f46cd66846583416c18c","target":"record","created_at":"2026-07-05T03:01:53Z","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":"a1f1fc46aff8a09040b2971ef05c2ddd93501e253926e3fc5630556fa6cdf4e2","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.gen-ph","submitted_at":"2020-10-05T15:19:42Z","title_canon_sha256":"f0b94234d11ab02f80da0e6fb65705c70ab71713978b8b0d0304068dc5ae457e"},"schema_version":"1.0","source":{"id":"2010.09444","kind":"arxiv","version":1}},"canonical_sha256":"aa43be7a1fc58926b63cb306de89bccbb0e5aebd55a55fab28cf5a17bb70ce8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa43be7a1fc58926b63cb306de89bccbb0e5aebd55a55fab28cf5a17bb70ce8c","first_computed_at":"2026-07-05T03:01:53.434696Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:01:53.434696Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"arK2vXAMfrpIbWLbGlTV8xPWMZp6QbWjNTLhe2McJ1zLjrMB9zrsRdqJbmnawQEyRf/qQ/WCtMZgotrvvmOTDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:01:53.435104Z","signed_message":"canonical_sha256_bytes"},"source_id":"2010.09444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3635ff0466825397b688c91bb404652df2f8179e8505f46cd66846583416c18c","sha256:eb6600678ef3fc1b3f327894771257c3aa9c710bf01b7259cc3a017cdbb5d433"],"state_sha256":"266eb3931fd031f49617ce52034d38230b7911fce87591387536331153077b42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yp4T1Eb3VoNlH4jtft3rdiWJfNYpPMQYIO4vHrES8ksezO4uCl2d9ID+UGUAh6IzOLF5Qxrv049P8mKcspK3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T20:39:50.272310Z","bundle_sha256":"43b8e6615a14b0e3f7e4d9dd42f7ea7db8da5c271175d9326a27447d89e7f645"}}