{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:KZUXFWH2SSFIH5BWESYJ6R5VVO","short_pith_number":"pith:KZUXFWH2","canonical_record":{"source":{"id":"1505.07337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-26T06:25:16Z","cross_cats_sorted":[],"title_canon_sha256":"7a93d81e11f413ba8868a0b89df2a3fd1abc4ddd274ccb11b7e63f689b9be8f3","abstract_canon_sha256":"a9e374d2acd364df0089785e8700f4f762dd2a5828424dddf7bea464ca4684e0"},"schema_version":"1.0"},"canonical_sha256":"566972d8fa948a83f43624b09f47b5abbce4546e5ca4849178acfdef75807d29","source":{"kind":"arxiv","id":"1505.07337","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07337","created_at":"2026-05-18T01:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07337v1","created_at":"2026-05-18T01:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07337","created_at":"2026-05-18T01:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"KZUXFWH2SSFI","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KZUXFWH2SSFIH5BW","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KZUXFWH2","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:KZUXFWH2SSFIH5BWESYJ6R5VVO","target":"record","payload":{"canonical_record":{"source":{"id":"1505.07337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-26T06:25:16Z","cross_cats_sorted":[],"title_canon_sha256":"7a93d81e11f413ba8868a0b89df2a3fd1abc4ddd274ccb11b7e63f689b9be8f3","abstract_canon_sha256":"a9e374d2acd364df0089785e8700f4f762dd2a5828424dddf7bea464ca4684e0"},"schema_version":"1.0"},"canonical_sha256":"566972d8fa948a83f43624b09f47b5abbce4546e5ca4849178acfdef75807d29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:04.899177Z","signature_b64":"BqfiPDwrrdH696Qf5ud1YZZuKP25/YVkV2P0KsAxEBOqU4JxiTGiHmS+aNJQYbRrkBIl06tr3N2cTuzC812KBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"566972d8fa948a83f43624b09f47b5abbce4546e5ca4849178acfdef75807d29","last_reissued_at":"2026-05-18T01:28:04.898450Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:04.898450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.07337","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":"2026-05-18T01:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UUbXPin1bEs0mSk8k3t8pThR+4AzHEy90dhLqyeBuIETbg6P2Lxap/9odKhEFOOHuRjzuH5Yfm4Co1FfGPB2Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:33:50.204129Z"},"content_sha256":"aa2352b4e557e70fb51852381a89e906324693ffe6826fa4a94a76ed3de92be1","schema_version":"1.0","event_id":"sha256:aa2352b4e557e70fb51852381a89e906324693ffe6826fa4a94a76ed3de92be1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:KZUXFWH2SSFIH5BWESYJ6R5VVO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Second Law of Thermodynamics in $f(T,T_{G})$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Zubair","submitted_at":"2015-05-26T06:25:16Z","abstract_excerpt":"An equilibrium picture of thermodynamics is discussed at the apparent horizon of FRW universe in $f(T,T_G)$ gravity, where $T$ represents the torsion invariant and $T_G$ is the teleparallel equivalent of the Gauss-Bonnet term. It is found that one can translate the Friedmann equations to the standard form of first law of thermodynamics. We discuss GSLT in the locality of assumption that temperature of matter inside the horizon is similar to that of horizon. Finally, we consider particular models in this theory and generate constraints on the coupling parameter for the validity of GSLT in terms"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07337","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":"2026-05-18T01:28:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T5i6NJMSsCsuYJgbuhLNnQZ77ePah1AiOm7oTAf+LtxS2gy5cFPI5Aq44IBO4Xrt6S1EF++wM9MsTCJe/dTYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:33:50.204868Z"},"content_sha256":"5ab2296d416e4a2cd3a6ee510afca8e8ee5d4661af5275df08b227c85415142d","schema_version":"1.0","event_id":"sha256:5ab2296d416e4a2cd3a6ee510afca8e8ee5d4661af5275df08b227c85415142d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZUXFWH2SSFIH5BWESYJ6R5VVO/bundle.json","state_url":"https://pith.science/pith/KZUXFWH2SSFIH5BWESYJ6R5VVO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZUXFWH2SSFIH5BWESYJ6R5VVO/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":"2026-05-27T03:33:50Z","links":{"resolver":"https://pith.science/pith/KZUXFWH2SSFIH5BWESYJ6R5VVO","bundle":"https://pith.science/pith/KZUXFWH2SSFIH5BWESYJ6R5VVO/bundle.json","state":"https://pith.science/pith/KZUXFWH2SSFIH5BWESYJ6R5VVO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZUXFWH2SSFIH5BWESYJ6R5VVO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:KZUXFWH2SSFIH5BWESYJ6R5VVO","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":"a9e374d2acd364df0089785e8700f4f762dd2a5828424dddf7bea464ca4684e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-26T06:25:16Z","title_canon_sha256":"7a93d81e11f413ba8868a0b89df2a3fd1abc4ddd274ccb11b7e63f689b9be8f3"},"schema_version":"1.0","source":{"id":"1505.07337","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07337","created_at":"2026-05-18T01:28:04Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07337v1","created_at":"2026-05-18T01:28:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07337","created_at":"2026-05-18T01:28:04Z"},{"alias_kind":"pith_short_12","alias_value":"KZUXFWH2SSFI","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"KZUXFWH2SSFIH5BW","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"KZUXFWH2","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:5ab2296d416e4a2cd3a6ee510afca8e8ee5d4661af5275df08b227c85415142d","target":"graph","created_at":"2026-05-18T01:28:04Z","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":"An equilibrium picture of thermodynamics is discussed at the apparent horizon of FRW universe in $f(T,T_G)$ gravity, where $T$ represents the torsion invariant and $T_G$ is the teleparallel equivalent of the Gauss-Bonnet term. It is found that one can translate the Friedmann equations to the standard form of first law of thermodynamics. We discuss GSLT in the locality of assumption that temperature of matter inside the horizon is similar to that of horizon. Finally, we consider particular models in this theory and generate constraints on the coupling parameter for the validity of GSLT in terms","authors_text":"M. Zubair","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-26T06:25:16Z","title":"Generalized Second Law of Thermodynamics in $f(T,T_{G})$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07337","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:aa2352b4e557e70fb51852381a89e906324693ffe6826fa4a94a76ed3de92be1","target":"record","created_at":"2026-05-18T01:28:04Z","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":"a9e374d2acd364df0089785e8700f4f762dd2a5828424dddf7bea464ca4684e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-05-26T06:25:16Z","title_canon_sha256":"7a93d81e11f413ba8868a0b89df2a3fd1abc4ddd274ccb11b7e63f689b9be8f3"},"schema_version":"1.0","source":{"id":"1505.07337","kind":"arxiv","version":1}},"canonical_sha256":"566972d8fa948a83f43624b09f47b5abbce4546e5ca4849178acfdef75807d29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"566972d8fa948a83f43624b09f47b5abbce4546e5ca4849178acfdef75807d29","first_computed_at":"2026-05-18T01:28:04.898450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:04.898450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BqfiPDwrrdH696Qf5ud1YZZuKP25/YVkV2P0KsAxEBOqU4JxiTGiHmS+aNJQYbRrkBIl06tr3N2cTuzC812KBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:04.899177Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07337","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa2352b4e557e70fb51852381a89e906324693ffe6826fa4a94a76ed3de92be1","sha256:5ab2296d416e4a2cd3a6ee510afca8e8ee5d4661af5275df08b227c85415142d"],"state_sha256":"18cd679c89c9e33c5890071a7f56bd75ec7e5ba24f8d3c568826b8c099fa209e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z6EZf88L9BBqk0Rd48i/QraooZ8zvUGjwVBjdQcbQOesgfdIQv2pWNF+WgZu8vdBHx6owhWY69Q9MmLeyfexBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:33:50.208286Z","bundle_sha256":"fa00626fc83f41c6f46459f4874d6e23a0ad3d6b8cd1c7aa8d87db6228ee0e36"}}