{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:DG4ABWOLBNR7FRR2NFEA4AVKJV","short_pith_number":"pith:DG4ABWOL","canonical_record":{"source":{"id":"1201.0852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-01-04T09:22:17Z","cross_cats_sorted":[],"title_canon_sha256":"3618fa6f0b470db5ad6a90ed52f32642c881454309e421da960d73bde8922ab9","abstract_canon_sha256":"11d868c8db37ef4b4d4537e598aea390567d8fe3c05d4c46483e70514a81480b"},"schema_version":"1.0"},"canonical_sha256":"19b800d9cb0b63f2c63a69480e02aa4d47dead27ac4802ade16f09463d0923b1","source":{"kind":"arxiv","id":"1201.0852","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0852","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0852v1","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0852","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"DG4ABWOLBNR7","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DG4ABWOLBNR7FRR2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DG4ABWOL","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:DG4ABWOLBNR7FRR2NFEA4AVKJV","target":"record","payload":{"canonical_record":{"source":{"id":"1201.0852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-01-04T09:22:17Z","cross_cats_sorted":[],"title_canon_sha256":"3618fa6f0b470db5ad6a90ed52f32642c881454309e421da960d73bde8922ab9","abstract_canon_sha256":"11d868c8db37ef4b4d4537e598aea390567d8fe3c05d4c46483e70514a81480b"},"schema_version":"1.0"},"canonical_sha256":"19b800d9cb0b63f2c63a69480e02aa4d47dead27ac4802ade16f09463d0923b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:57.988540Z","signature_b64":"8zA1fguNljgI5UVeIuKalItnVKWtKY2whs1FKYyqDu+G2ZIbi23JR0pOgPsQLFwpyLWD1dPw1di0VixhnrKrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"19b800d9cb0b63f2c63a69480e02aa4d47dead27ac4802ade16f09463d0923b1","last_reissued_at":"2026-05-18T01:58:57.987692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:57.987692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.0852","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":"2026-05-18T01:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4u6YMtPk9U1rwbQRcioHDZfQqR2LE2nPG+lJknAWpR9TyFQeiy4RaLVI36HsHNkDcxFi4UWthKsLrPeJZP3ODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:57:00.977521Z"},"content_sha256":"33d903eb133a64653acc8d78f26a76f44a08e85880ceed8ab9bf332df218afbc","schema_version":"1.0","event_id":"sha256:33d903eb133a64653acc8d78f26a76f44a08e85880ceed8ab9bf332df218afbc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:DG4ABWOLBNR7FRR2NFEA4AVKJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variable Modified Chaplygin Gas in Anisotropic Universe with Kaluza-Klein Metric","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Chayan Ranjit, Shuvendu Chakraborty, Ujjal Debnath","submitted_at":"2012-01-04T09:22:17Z","abstract_excerpt":"In this work, we have consider Kaluza-Klein Cosmology for anisotropic universe where the universe is filled with variable modified chaplygin gas (VMCG). Here we find normal scalar field $\\phi$ and the self interacting potential $V(\\phi)$ to describe the VMCG Cosmology. Also we graphically analyzed the geometrical parameters named {\\it statefinder parameters} in anisotropic Kaluza-Klein model. Next, we consider a Kaluza-Klein model of interacting VMCG with dark matter in the Einstein gravity framework. Here we construct the three dimensional autonomous dynamical system of equations for this int"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0852","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":""},"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":"2026-05-18T01:58:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8aYSSdx2sMvV8vTmwCWcwtq9A24lzK6y6+7TmWEWEA1RcZkbBmVyWq+OUzjKP08kMpPV3w7ECZlI7uKKbKMPBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T10:57:00.977902Z"},"content_sha256":"e276125f5afb0d1f49569c6f0a44cf0b70c5aec5c24f91ba570cf1708d8a6fcd","schema_version":"1.0","event_id":"sha256:e276125f5afb0d1f49569c6f0a44cf0b70c5aec5c24f91ba570cf1708d8a6fcd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DG4ABWOLBNR7FRR2NFEA4AVKJV/bundle.json","state_url":"https://pith.science/pith/DG4ABWOLBNR7FRR2NFEA4AVKJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DG4ABWOLBNR7FRR2NFEA4AVKJV/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":"2026-06-26T10:57:00Z","links":{"resolver":"https://pith.science/pith/DG4ABWOLBNR7FRR2NFEA4AVKJV","bundle":"https://pith.science/pith/DG4ABWOLBNR7FRR2NFEA4AVKJV/bundle.json","state":"https://pith.science/pith/DG4ABWOLBNR7FRR2NFEA4AVKJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DG4ABWOLBNR7FRR2NFEA4AVKJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DG4ABWOLBNR7FRR2NFEA4AVKJV","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":"11d868c8db37ef4b4d4537e598aea390567d8fe3c05d4c46483e70514a81480b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-01-04T09:22:17Z","title_canon_sha256":"3618fa6f0b470db5ad6a90ed52f32642c881454309e421da960d73bde8922ab9"},"schema_version":"1.0","source":{"id":"1201.0852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0852","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0852v1","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0852","created_at":"2026-05-18T01:58:57Z"},{"alias_kind":"pith_short_12","alias_value":"DG4ABWOLBNR7","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DG4ABWOLBNR7FRR2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DG4ABWOL","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:e276125f5afb0d1f49569c6f0a44cf0b70c5aec5c24f91ba570cf1708d8a6fcd","target":"graph","created_at":"2026-05-18T01:58:57Z","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":"In this work, we have consider Kaluza-Klein Cosmology for anisotropic universe where the universe is filled with variable modified chaplygin gas (VMCG). Here we find normal scalar field $\\phi$ and the self interacting potential $V(\\phi)$ to describe the VMCG Cosmology. Also we graphically analyzed the geometrical parameters named {\\it statefinder parameters} in anisotropic Kaluza-Klein model. Next, we consider a Kaluza-Klein model of interacting VMCG with dark matter in the Einstein gravity framework. Here we construct the three dimensional autonomous dynamical system of equations for this int","authors_text":"Chayan Ranjit, Shuvendu Chakraborty, Ujjal Debnath","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-01-04T09:22:17Z","title":"Variable Modified Chaplygin Gas in Anisotropic Universe with Kaluza-Klein Metric"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0852","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":"sha256:33d903eb133a64653acc8d78f26a76f44a08e85880ceed8ab9bf332df218afbc","target":"record","created_at":"2026-05-18T01:58:57Z","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":"11d868c8db37ef4b4d4537e598aea390567d8fe3c05d4c46483e70514a81480b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2012-01-04T09:22:17Z","title_canon_sha256":"3618fa6f0b470db5ad6a90ed52f32642c881454309e421da960d73bde8922ab9"},"schema_version":"1.0","source":{"id":"1201.0852","kind":"arxiv","version":1}},"canonical_sha256":"19b800d9cb0b63f2c63a69480e02aa4d47dead27ac4802ade16f09463d0923b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"19b800d9cb0b63f2c63a69480e02aa4d47dead27ac4802ade16f09463d0923b1","first_computed_at":"2026-05-18T01:58:57.987692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:57.987692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8zA1fguNljgI5UVeIuKalItnVKWtKY2whs1FKYyqDu+G2ZIbi23JR0pOgPsQLFwpyLWD1dPw1di0VixhnrKrAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:57.988540Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:33d903eb133a64653acc8d78f26a76f44a08e85880ceed8ab9bf332df218afbc","sha256:e276125f5afb0d1f49569c6f0a44cf0b70c5aec5c24f91ba570cf1708d8a6fcd"],"state_sha256":"d4870a96d26bb2213451f219c24f4a998ba0824862f7c928be53cb6ec147afca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KpggfVrlZ8dR8epauXZaSBpQIUJbTEKZW1BUYUF1hGM5vyymQqJsp2CRnIeKnqSsDoFBdi+btkRELlp/pqtnBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T10:57:00.980127Z","bundle_sha256":"0a4d3c15f4d931a842fdc983bab45326cafb46e69b1a0f1c5544f4dc52cc2fc4"}}