{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:VUIDDO3BXV2XINQUKJK6HGJQVM","short_pith_number":"pith:VUIDDO3B","canonical_record":{"source":{"id":"1204.2181","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-04-08T07:33:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"a025f0a445be9dfed9c462943d007614dfe623d48d9885b840e9a2308781db58","abstract_canon_sha256":"09f1ef52494b366945848d8e2b2e1907155232aa3a6a551648dc129349bcb526"},"schema_version":"1.0"},"canonical_sha256":"ad1031bb61bd757436145255e39930ab08eb5c037143fd11d7e08bdde4c90d23","source":{"kind":"arxiv","id":"1204.2181","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2181","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2181v2","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2181","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"pith_short_12","alias_value":"VUIDDO3BXV2X","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VUIDDO3BXV2XINQU","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VUIDDO3B","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:VUIDDO3BXV2XINQUKJK6HGJQVM","target":"record","payload":{"canonical_record":{"source":{"id":"1204.2181","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-04-08T07:33:08Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"a025f0a445be9dfed9c462943d007614dfe623d48d9885b840e9a2308781db58","abstract_canon_sha256":"09f1ef52494b366945848d8e2b2e1907155232aa3a6a551648dc129349bcb526"},"schema_version":"1.0"},"canonical_sha256":"ad1031bb61bd757436145255e39930ab08eb5c037143fd11d7e08bdde4c90d23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:49:57.995357Z","signature_b64":"I4MLyNXpHAOeFujO5ggVZMqvYxMhr9+c+GpfwQdIeCf+YbxnndjEuIx68cKp5NNzU7COFoU2G7nq7lrqkGICCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad1031bb61bd757436145255e39930ab08eb5c037143fd11d7e08bdde4c90d23","last_reissued_at":"2026-05-18T03:49:57.994586Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:49:57.994586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.2181","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":"2026-05-18T03:49:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dFpNDO5nihJqv4hZPE/d6g7XEh1H6yWillgNFQ8TCyQVWwahAqjqmMrvGWRWN2YOT6hRxIlCqlMCzFXdq+DTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T12:32:14.010154Z"},"content_sha256":"37fb58def57c274694c89c1a86454f827ab27294a30a6e027d9170cc5fdce094","schema_version":"1.0","event_id":"sha256:37fb58def57c274694c89c1a86454f827ab27294a30a6e027d9170cc5fdce094"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:VUIDDO3BXV2XINQUKJK6HGJQVM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"physics.gen-ph","authors_text":"K. R. Yesmakhanova, M. Sharif, R. Myrzakulov, S. Rani","submitted_at":"2012-04-08T07:33:08Z","abstract_excerpt":"This paper is devoted to the investigation of modified Chaplygin gas model in the context of solvable k-essence cosmologies. For this purpose, we construct equations of state parameter of this model for some particular values of the parameter $n$. The graphical behavior of these equations are also discussed by using power law form of potential. The relationship between k-essence and modified Chaplygin gas model shows viable results in the dark energy scenario. We conclude that the universe behaves as a cosmological constant, quintessence phase or phantom phase depending upon $n$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2181","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":""},"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":"2026-05-18T03:49:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CziA5vw3cZvm3KtNl/cXHGXuzMFd4ugBl1yraMUqJiLGUJD/nlZNVO35nzeOovt8joIfVn529oOSJ5Wx0JCEAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T12:32:14.010839Z"},"content_sha256":"7fd073764e9684354b9f884aa2798ab6a22304d2304ccb43c73a9210096dc65b","schema_version":"1.0","event_id":"sha256:7fd073764e9684354b9f884aa2798ab6a22304d2304ccb43c73a9210096dc65b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VUIDDO3BXV2XINQUKJK6HGJQVM/bundle.json","state_url":"https://pith.science/pith/VUIDDO3BXV2XINQUKJK6HGJQVM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VUIDDO3BXV2XINQUKJK6HGJQVM/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":"2026-05-24T12:32:14Z","links":{"resolver":"https://pith.science/pith/VUIDDO3BXV2XINQUKJK6HGJQVM","bundle":"https://pith.science/pith/VUIDDO3BXV2XINQUKJK6HGJQVM/bundle.json","state":"https://pith.science/pith/VUIDDO3BXV2XINQUKJK6HGJQVM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VUIDDO3BXV2XINQUKJK6HGJQVM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:VUIDDO3BXV2XINQUKJK6HGJQVM","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":"09f1ef52494b366945848d8e2b2e1907155232aa3a6a551648dc129349bcb526","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-04-08T07:33:08Z","title_canon_sha256":"a025f0a445be9dfed9c462943d007614dfe623d48d9885b840e9a2308781db58"},"schema_version":"1.0","source":{"id":"1204.2181","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.2181","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"arxiv_version","alias_value":"1204.2181v2","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2181","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"pith_short_12","alias_value":"VUIDDO3BXV2X","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"VUIDDO3BXV2XINQU","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"VUIDDO3B","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:7fd073764e9684354b9f884aa2798ab6a22304d2304ccb43c73a9210096dc65b","target":"graph","created_at":"2026-05-18T03:49:57Z","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"},"paper":{"abstract_excerpt":"This paper is devoted to the investigation of modified Chaplygin gas model in the context of solvable k-essence cosmologies. For this purpose, we construct equations of state parameter of this model for some particular values of the parameter $n$. The graphical behavior of these equations are also discussed by using power law form of potential. The relationship between k-essence and modified Chaplygin gas model shows viable results in the dark energy scenario. We conclude that the universe behaves as a cosmological constant, quintessence phase or phantom phase depending upon $n$.","authors_text":"K. R. Yesmakhanova, M. Sharif, R. Myrzakulov, S. Rani","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-04-08T07:33:08Z","title":"Solvable K-essence Cosmologies and Modified Chaplygin Gas Unified Models of Dark Energy and Dark Matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2181","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":"sha256:37fb58def57c274694c89c1a86454f827ab27294a30a6e027d9170cc5fdce094","target":"record","created_at":"2026-05-18T03:49:57Z","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":"09f1ef52494b366945848d8e2b2e1907155232aa3a6a551648dc129349bcb526","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-04-08T07:33:08Z","title_canon_sha256":"a025f0a445be9dfed9c462943d007614dfe623d48d9885b840e9a2308781db58"},"schema_version":"1.0","source":{"id":"1204.2181","kind":"arxiv","version":2}},"canonical_sha256":"ad1031bb61bd757436145255e39930ab08eb5c037143fd11d7e08bdde4c90d23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad1031bb61bd757436145255e39930ab08eb5c037143fd11d7e08bdde4c90d23","first_computed_at":"2026-05-18T03:49:57.994586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:57.994586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I4MLyNXpHAOeFujO5ggVZMqvYxMhr9+c+GpfwQdIeCf+YbxnndjEuIx68cKp5NNzU7COFoU2G7nq7lrqkGICCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:57.995357Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.2181","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:37fb58def57c274694c89c1a86454f827ab27294a30a6e027d9170cc5fdce094","sha256:7fd073764e9684354b9f884aa2798ab6a22304d2304ccb43c73a9210096dc65b"],"state_sha256":"d40932cc3955f09b37ba5f75171cd8428b526e2ffdbb7c05ada55001bef0d820"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8lKmH2w80zn0SZj0lzbosZ3d1heuls/TPk3IhRV0W5w7wNFV97FoMy+09Kl8ffeul9e1PauMspt4b8QKgHn9Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T12:32:14.014380Z","bundle_sha256":"660b069fafe3f00a0b44ddc9b33413099ca2e530c588bd94dccbfb8baf03fbc9"}}