{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OQTNNBOGDKZLI4GH3JW5GEYUEE","short_pith_number":"pith:OQTNNBOG","canonical_record":{"source":{"id":"1005.5215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-28T04:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"40e312286637800fae917e4ce651c206646ac1c52ac1318d780ab37b83f0d499","abstract_canon_sha256":"20bec6ab3f6c807de7a85ea2cae9258b82282b6066eeddab8194c128d57a4bbf"},"schema_version":"1.0"},"canonical_sha256":"7426d685c61ab2b470c7da6dd31314210bfb525d8a8cd8ea5f4cb06656a34752","source":{"kind":"arxiv","id":"1005.5215","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5215","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5215v1","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5215","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"OQTNNBOGDKZL","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OQTNNBOGDKZLI4GH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OQTNNBOG","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OQTNNBOGDKZLI4GH3JW5GEYUEE","target":"record","payload":{"canonical_record":{"source":{"id":"1005.5215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-28T04:46:08Z","cross_cats_sorted":[],"title_canon_sha256":"40e312286637800fae917e4ce651c206646ac1c52ac1318d780ab37b83f0d499","abstract_canon_sha256":"20bec6ab3f6c807de7a85ea2cae9258b82282b6066eeddab8194c128d57a4bbf"},"schema_version":"1.0"},"canonical_sha256":"7426d685c61ab2b470c7da6dd31314210bfb525d8a8cd8ea5f4cb06656a34752","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:07:06.996973Z","signature_b64":"yzo/1TqBYWlza5L6VDGKjP6oMGukkKZ6PnGZfq2eQTrppyNPPUV4Q8ZBdEI5LoIcLU4vCa4mjgPa+Aqa6/HfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7426d685c61ab2b470c7da6dd31314210bfb525d8a8cd8ea5f4cb06656a34752","last_reissued_at":"2026-05-18T02:07:06.996379Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:07:06.996379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.5215","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":"2026-05-18T02:07:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ek31T8k2b8jnL+INDp/ULHZt3PXxXEefNp7VlcQtX0WytwsnBeKIV3h5Ib2J2iN9X3fuiGpqt6XGt8Te+oQFBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:23:08.083129Z"},"content_sha256":"c3f9832c18e8b0636e70008274a17754dcc809f44270c8fba592f0368aa2ca4e","schema_version":"1.0","event_id":"sha256:c3f9832c18e8b0636e70008274a17754dcc809f44270c8fba592f0368aa2ca4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OQTNNBOGDKZLI4GH3JW5GEYUEE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The generalized second law of thermodynamics of the universe bounded by the event horizon and modified gravity theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Nairwita Mazumder, Subenoy Chakraborty","submitted_at":"2010-05-28T04:46:08Z","abstract_excerpt":"In this paper, we investigate the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon. Here we consider homogeneous and isotropic model of the universe filled with perfect fluid in one case and in another case holographic model of the universe has been considered. In the third case the matter in the universe is taken in the form of non-interacting two fluid system as holographic dark energy and dust. Here we study the above cases in the Modified gravity, f(R) gravity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5215","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":"2026-05-18T02:07:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DbWJDl6NtHyrHvPIb3tiNYO2OfWSi3k97TONRAw2b4AAJWMGIwgIErebt3sLIEo6uQz0IVW9RhOhU727V8DRDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:23:08.083488Z"},"content_sha256":"b5b36f01c11bedccad3707a0086fcfbda45c7a43b8ad483fe14cd1b060cf5dfb","schema_version":"1.0","event_id":"sha256:b5b36f01c11bedccad3707a0086fcfbda45c7a43b8ad483fe14cd1b060cf5dfb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OQTNNBOGDKZLI4GH3JW5GEYUEE/bundle.json","state_url":"https://pith.science/pith/OQTNNBOGDKZLI4GH3JW5GEYUEE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OQTNNBOGDKZLI4GH3JW5GEYUEE/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":"2026-06-08T11:23:08Z","links":{"resolver":"https://pith.science/pith/OQTNNBOGDKZLI4GH3JW5GEYUEE","bundle":"https://pith.science/pith/OQTNNBOGDKZLI4GH3JW5GEYUEE/bundle.json","state":"https://pith.science/pith/OQTNNBOGDKZLI4GH3JW5GEYUEE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OQTNNBOGDKZLI4GH3JW5GEYUEE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OQTNNBOGDKZLI4GH3JW5GEYUEE","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":"20bec6ab3f6c807de7a85ea2cae9258b82282b6066eeddab8194c128d57a4bbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-28T04:46:08Z","title_canon_sha256":"40e312286637800fae917e4ce651c206646ac1c52ac1318d780ab37b83f0d499"},"schema_version":"1.0","source":{"id":"1005.5215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.5215","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"arxiv_version","alias_value":"1005.5215v1","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.5215","created_at":"2026-05-18T02:07:06Z"},{"alias_kind":"pith_short_12","alias_value":"OQTNNBOGDKZL","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OQTNNBOGDKZLI4GH","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OQTNNBOG","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:b5b36f01c11bedccad3707a0086fcfbda45c7a43b8ad483fe14cd1b060cf5dfb","target":"graph","created_at":"2026-05-18T02:07:06Z","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 paper, we investigate the validity of the generalized second law of thermodynamics of the universe bounded by the event horizon. Here we consider homogeneous and isotropic model of the universe filled with perfect fluid in one case and in another case holographic model of the universe has been considered. In the third case the matter in the universe is taken in the form of non-interacting two fluid system as holographic dark energy and dust. Here we study the above cases in the Modified gravity, f(R) gravity.","authors_text":"Nairwita Mazumder, Subenoy Chakraborty","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-28T04:46:08Z","title":"The generalized second law of thermodynamics of the universe bounded by the event horizon and modified gravity theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.5215","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:c3f9832c18e8b0636e70008274a17754dcc809f44270c8fba592f0368aa2ca4e","target":"record","created_at":"2026-05-18T02:07:06Z","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":"20bec6ab3f6c807de7a85ea2cae9258b82282b6066eeddab8194c128d57a4bbf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-05-28T04:46:08Z","title_canon_sha256":"40e312286637800fae917e4ce651c206646ac1c52ac1318d780ab37b83f0d499"},"schema_version":"1.0","source":{"id":"1005.5215","kind":"arxiv","version":1}},"canonical_sha256":"7426d685c61ab2b470c7da6dd31314210bfb525d8a8cd8ea5f4cb06656a34752","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7426d685c61ab2b470c7da6dd31314210bfb525d8a8cd8ea5f4cb06656a34752","first_computed_at":"2026-05-18T02:07:06.996379Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:07:06.996379Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yzo/1TqBYWlza5L6VDGKjP6oMGukkKZ6PnGZfq2eQTrppyNPPUV4Q8ZBdEI5LoIcLU4vCa4mjgPa+Aqa6/HfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:07:06.996973Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.5215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3f9832c18e8b0636e70008274a17754dcc809f44270c8fba592f0368aa2ca4e","sha256:b5b36f01c11bedccad3707a0086fcfbda45c7a43b8ad483fe14cd1b060cf5dfb"],"state_sha256":"1c0e2a63dbd005ec56d2e55620838597014af7893f7adfc9a2d083e8fc3ac1b9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ymUEe59GIxR3CSaeh7KBBwqYd3XahId5LySvY06PLZ0qHHRSrvZmGOC9DIRenZqM0BgVW9T/6uqOOaBPVLGdDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T11:23:08.085380Z","bundle_sha256":"4e336f23ad5a8a1923a58c7eb88dba6ada33c04ac62f251b9433b38f75bab0ca"}}