{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:SYYFWMXZBBUAHTK4Q4KJAUOFLW","short_pith_number":"pith:SYYFWMXZ","canonical_record":{"source":{"id":"1303.7391","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-26T05:17:27Z","cross_cats_sorted":[],"title_canon_sha256":"012012187bab9d6fc06e7bec38464ca7bdaf8694c51d349409ecfb7b1ba076ef","abstract_canon_sha256":"4558dbba27c891ada15728eccb92e20014971e86640e4cec08458ac256d62d4e"},"schema_version":"1.0"},"canonical_sha256":"96305b32f9086803cd5c87149051c55da50636524ec155f9bf0fa3c93770bcce","source":{"kind":"arxiv","id":"1303.7391","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7391","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7391v1","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7391","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"SYYFWMXZBBUA","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SYYFWMXZBBUAHTK4","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SYYFWMXZ","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:SYYFWMXZBBUAHTK4Q4KJAUOFLW","target":"record","payload":{"canonical_record":{"source":{"id":"1303.7391","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-26T05:17:27Z","cross_cats_sorted":[],"title_canon_sha256":"012012187bab9d6fc06e7bec38464ca7bdaf8694c51d349409ecfb7b1ba076ef","abstract_canon_sha256":"4558dbba27c891ada15728eccb92e20014971e86640e4cec08458ac256d62d4e"},"schema_version":"1.0"},"canonical_sha256":"96305b32f9086803cd5c87149051c55da50636524ec155f9bf0fa3c93770bcce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:51.085087Z","signature_b64":"uBU7cgzFU/s+SzrbmgQg/dvyciH/VInSPCj/XRWyRqnQ1e1j5q+J4SlEPf0I1CXbViobNgOClJAdDxpegkvqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96305b32f9086803cd5c87149051c55da50636524ec155f9bf0fa3c93770bcce","last_reissued_at":"2026-05-18T01:50:51.084219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:51.084219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.7391","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":"2026-05-18T01:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4/QLsNShyY2yicuUKGtyxgonN7CDH0/jK4dHKXZgSYHA0X5Wu6xabC14T+3oYLZEFC/tBVbfdjFEspu8u77HAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:23:43.492630Z"},"content_sha256":"cc56b4bb075760b58b68bbfd4d8a17bd20c5351dea9c7b909e416b6c7b9628c8","schema_version":"1.0","event_id":"sha256:cc56b4bb075760b58b68bbfd4d8a17bd20c5351dea9c7b909e416b6c7b9628c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:SYYFWMXZBBUAHTK4Q4KJAUOFLW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics in Closed Universe with Entropy Corrections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abdul Jawad, M. Sharif","submitted_at":"2013-03-26T05:17:27Z","abstract_excerpt":"We discuss the generalized second law of thermodynamics in three different systems by taking quantum corrections (logarithmic and power law) to cosmological horizon entropy as well as black hole entropy. Firstly, we consider phantom energy accretion onto the Schwarzschild black hole in the closed FRW universe and investigate validity of the generalized second law of thermodynamics on the apparent and event horizons. In another scenario, we evaluate the critical mass of the Schwarzschild black hole with upper and lower bounds under accretion process due to phantom-like modified generalized chap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7391","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":"2026-05-18T01:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3cvsXSaTE/nV+mUgeQI4epcpzdDzVQeJZapDvL+NH0LRPIabc/yzrUFxGvD1LnFssommH63BMaSx3YzqOsphBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T03:23:43.493185Z"},"content_sha256":"2ff7f4f56ee70229c4be36ff2d83cdff6560b725d15eb68e8aa3c1802936b4a8","schema_version":"1.0","event_id":"sha256:2ff7f4f56ee70229c4be36ff2d83cdff6560b725d15eb68e8aa3c1802936b4a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SYYFWMXZBBUAHTK4Q4KJAUOFLW/bundle.json","state_url":"https://pith.science/pith/SYYFWMXZBBUAHTK4Q4KJAUOFLW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SYYFWMXZBBUAHTK4Q4KJAUOFLW/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":"2026-05-25T03:23:43Z","links":{"resolver":"https://pith.science/pith/SYYFWMXZBBUAHTK4Q4KJAUOFLW","bundle":"https://pith.science/pith/SYYFWMXZBBUAHTK4Q4KJAUOFLW/bundle.json","state":"https://pith.science/pith/SYYFWMXZBBUAHTK4Q4KJAUOFLW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SYYFWMXZBBUAHTK4Q4KJAUOFLW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SYYFWMXZBBUAHTK4Q4KJAUOFLW","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":"4558dbba27c891ada15728eccb92e20014971e86640e4cec08458ac256d62d4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-26T05:17:27Z","title_canon_sha256":"012012187bab9d6fc06e7bec38464ca7bdaf8694c51d349409ecfb7b1ba076ef"},"schema_version":"1.0","source":{"id":"1303.7391","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.7391","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.7391v1","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7391","created_at":"2026-05-18T01:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"SYYFWMXZBBUA","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SYYFWMXZBBUAHTK4","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SYYFWMXZ","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:2ff7f4f56ee70229c4be36ff2d83cdff6560b725d15eb68e8aa3c1802936b4a8","target":"graph","created_at":"2026-05-18T01:50:51Z","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":"We discuss the generalized second law of thermodynamics in three different systems by taking quantum corrections (logarithmic and power law) to cosmological horizon entropy as well as black hole entropy. Firstly, we consider phantom energy accretion onto the Schwarzschild black hole in the closed FRW universe and investigate validity of the generalized second law of thermodynamics on the apparent and event horizons. In another scenario, we evaluate the critical mass of the Schwarzschild black hole with upper and lower bounds under accretion process due to phantom-like modified generalized chap","authors_text":"Abdul Jawad, M. Sharif","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-26T05:17:27Z","title":"Thermodynamics in Closed Universe with Entropy Corrections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7391","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:cc56b4bb075760b58b68bbfd4d8a17bd20c5351dea9c7b909e416b6c7b9628c8","target":"record","created_at":"2026-05-18T01:50:51Z","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":"4558dbba27c891ada15728eccb92e20014971e86640e4cec08458ac256d62d4e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-26T05:17:27Z","title_canon_sha256":"012012187bab9d6fc06e7bec38464ca7bdaf8694c51d349409ecfb7b1ba076ef"},"schema_version":"1.0","source":{"id":"1303.7391","kind":"arxiv","version":1}},"canonical_sha256":"96305b32f9086803cd5c87149051c55da50636524ec155f9bf0fa3c93770bcce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96305b32f9086803cd5c87149051c55da50636524ec155f9bf0fa3c93770bcce","first_computed_at":"2026-05-18T01:50:51.084219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:51.084219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uBU7cgzFU/s+SzrbmgQg/dvyciH/VInSPCj/XRWyRqnQ1e1j5q+J4SlEPf0I1CXbViobNgOClJAdDxpegkvqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:51.085087Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.7391","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc56b4bb075760b58b68bbfd4d8a17bd20c5351dea9c7b909e416b6c7b9628c8","sha256:2ff7f4f56ee70229c4be36ff2d83cdff6560b725d15eb68e8aa3c1802936b4a8"],"state_sha256":"207b198a73b273e39f63f76cb58bc281551fefb4ddacebf9f419ce4a6551f92b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"21cnxhSeswYbRNfzioRy2HmdsR7qLc3G6rty044U4c35bX0pr7am1ycL8agfEG8meSy1QeUSno2Mm252x96/CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T03:23:43.497038Z","bundle_sha256":"f846a6bdfe340b676a6ab6e4e610554893dcc29c1e454fa4d5df2d1972e38730"}}