{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:4PI24MXYIYNMU6UH47MS6YSZYB","short_pith_number":"pith:4PI24MXY","canonical_record":{"source":{"id":"2301.02216","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-05T18:38:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"df02ad35a4459d7bd3b7415d413a28ae13189c4a4faccfa1341b8a7fd9a7d3c1","abstract_canon_sha256":"67a4a9834c122ec255f25bf6704def82139b861d533f32c10184c35d5cffead6"},"schema_version":"1.0"},"canonical_sha256":"e3d1ae32f8461aca7a87e7d92f6259c05e2a228459acb90986522dddfadeabc0","source":{"kind":"arxiv","id":"2301.02216","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.02216","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"arxiv_version","alias_value":"2301.02216v1","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.02216","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"pith_short_12","alias_value":"4PI24MXYIYNM","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4PI24MXYIYNMU6UH","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4PI24MXY","created_at":"2026-07-05T05:30:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:4PI24MXYIYNMU6UH47MS6YSZYB","target":"record","payload":{"canonical_record":{"source":{"id":"2301.02216","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-05T18:38:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"df02ad35a4459d7bd3b7415d413a28ae13189c4a4faccfa1341b8a7fd9a7d3c1","abstract_canon_sha256":"67a4a9834c122ec255f25bf6704def82139b861d533f32c10184c35d5cffead6"},"schema_version":"1.0"},"canonical_sha256":"e3d1ae32f8461aca7a87e7d92f6259c05e2a228459acb90986522dddfadeabc0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:30:58.010521Z","signature_b64":"RfGju0D+ZEMNH+vLnMp+//U58Vj4nJWEQ2M4dHi+aFSYdJRsoO1oascOC+GzHJZc0GJNVZhz6SVVyzq3iK+yCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3d1ae32f8461aca7a87e7d92f6259c05e2a228459acb90986522dddfadeabc0","last_reissued_at":"2026-07-05T05:30:58.010025Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:30:58.010025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.02216","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":"2026-07-05T05:30:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jmM2njJfRDkmgM3ZKoQTWybOSaWANQPA7sMnXmGy3Wp0XcmrGE+H19oglwjQmYGVOcKo6yTktCzdy7TPCqvJCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:53:48.893766Z"},"content_sha256":"6fa7d97f56fada971261371b0cafb036745219c1bd240d81f11d3bae535d3594","schema_version":"1.0","event_id":"sha256:6fa7d97f56fada971261371b0cafb036745219c1bd240d81f11d3bae535d3594"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:4PI24MXYIYNMU6UH47MS6YSZYB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Logarithm Corrections and Thermodynamics for Horndeski gravity like Black Holes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"G. Mustafa, Riasat Ali, Rimsha Babar, Xia Tiecheng, Zunaira Akhtar","submitted_at":"2023-01-05T18:38:06Z","abstract_excerpt":"In this paper, we compute the Hawking temperature by applying quantum tunneling approach for the Horndeski like black holes. We utilize the semi-classical phenomenon and WKB approximation to the Lagrangian field equation involving generalized uncertainty principle (GUP) and compute the tunneling rate as well as Hawking temperature. For the zero gravity parameter, we obtain results consistent without correction parameter or original tunneling. Moreover, we study the thermal fluctuations of the considered geometry and examine the stable state of the system by heat capacity technique. We also inv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.02216","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.02216/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T05:30:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b4z4E413Sr8OboqbwfNIptNQnAJFpHr2ERpiXfWWroAD2RRuKc3/p07YVKq20enNEwBBDH71w4VZj/P8fekcBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:53:48.894260Z"},"content_sha256":"79463f26159c3c7c4e1a58eaddfde9d734f52e5c36561b5abbcc73e279d63034","schema_version":"1.0","event_id":"sha256:79463f26159c3c7c4e1a58eaddfde9d734f52e5c36561b5abbcc73e279d63034"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4PI24MXYIYNMU6UH47MS6YSZYB/bundle.json","state_url":"https://pith.science/pith/4PI24MXYIYNMU6UH47MS6YSZYB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4PI24MXYIYNMU6UH47MS6YSZYB/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":"2026-07-07T15:53:48Z","links":{"resolver":"https://pith.science/pith/4PI24MXYIYNMU6UH47MS6YSZYB","bundle":"https://pith.science/pith/4PI24MXYIYNMU6UH47MS6YSZYB/bundle.json","state":"https://pith.science/pith/4PI24MXYIYNMU6UH47MS6YSZYB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4PI24MXYIYNMU6UH47MS6YSZYB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:4PI24MXYIYNMU6UH47MS6YSZYB","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":"67a4a9834c122ec255f25bf6704def82139b861d533f32c10184c35d5cffead6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-05T18:38:06Z","title_canon_sha256":"df02ad35a4459d7bd3b7415d413a28ae13189c4a4faccfa1341b8a7fd9a7d3c1"},"schema_version":"1.0","source":{"id":"2301.02216","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.02216","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"arxiv_version","alias_value":"2301.02216v1","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.02216","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"pith_short_12","alias_value":"4PI24MXYIYNM","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"4PI24MXYIYNMU6UH","created_at":"2026-07-05T05:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"4PI24MXY","created_at":"2026-07-05T05:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:79463f26159c3c7c4e1a58eaddfde9d734f52e5c36561b5abbcc73e279d63034","target":"graph","created_at":"2026-07-05T05:30:58Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.02216/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we compute the Hawking temperature by applying quantum tunneling approach for the Horndeski like black holes. We utilize the semi-classical phenomenon and WKB approximation to the Lagrangian field equation involving generalized uncertainty principle (GUP) and compute the tunneling rate as well as Hawking temperature. For the zero gravity parameter, we obtain results consistent without correction parameter or original tunneling. Moreover, we study the thermal fluctuations of the considered geometry and examine the stable state of the system by heat capacity technique. We also inv","authors_text":"G. Mustafa, Riasat Ali, Rimsha Babar, Xia Tiecheng, Zunaira Akhtar","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-05T18:38:06Z","title":"Logarithm Corrections and Thermodynamics for Horndeski gravity like Black Holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.02216","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":"sha256:6fa7d97f56fada971261371b0cafb036745219c1bd240d81f11d3bae535d3594","target":"record","created_at":"2026-07-05T05:30:58Z","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":"67a4a9834c122ec255f25bf6704def82139b861d533f32c10184c35d5cffead6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-01-05T18:38:06Z","title_canon_sha256":"df02ad35a4459d7bd3b7415d413a28ae13189c4a4faccfa1341b8a7fd9a7d3c1"},"schema_version":"1.0","source":{"id":"2301.02216","kind":"arxiv","version":1}},"canonical_sha256":"e3d1ae32f8461aca7a87e7d92f6259c05e2a228459acb90986522dddfadeabc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e3d1ae32f8461aca7a87e7d92f6259c05e2a228459acb90986522dddfadeabc0","first_computed_at":"2026-07-05T05:30:58.010025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:30:58.010025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RfGju0D+ZEMNH+vLnMp+//U58Vj4nJWEQ2M4dHi+aFSYdJRsoO1oascOC+GzHJZc0GJNVZhz6SVVyzq3iK+yCA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:30:58.010521Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.02216","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fa7d97f56fada971261371b0cafb036745219c1bd240d81f11d3bae535d3594","sha256:79463f26159c3c7c4e1a58eaddfde9d734f52e5c36561b5abbcc73e279d63034"],"state_sha256":"6eb8a189015b6e53bb8e00cf0971c4a594b6fa70dcf74b1e1d354dcf071789f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tNWTRmTfqN1Y3jCq4bKwLV/uN4AYo42Sk3xP2pBKkrKDIxILm3wvsLIe319CMNg5C86c/SB1EhkHtF8jfaKqDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T15:53:48.896161Z","bundle_sha256":"15d3df62505a66868e7d72a7f26494f0e631945313ec6dcd2e4024e9be33eb12"}}