{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:GZF3ZKHR6YEWYMTK55ZLCFMZTU","short_pith_number":"pith:GZF3ZKHR","canonical_record":{"source":{"id":"hep-th/0701261","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-29T11:03:28Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"659f81563c22de596b1c6b8a281db209f7c9e4b1afe87c3a041a9d2cd73233ce","abstract_canon_sha256":"126d5fdc2c063466895d35428f521fa798bae4ebd31208b0afc06ec099df89d8"},"schema_version":"1.0"},"canonical_sha256":"364bbca8f1f6096c326aef72b115999d069712c5359b41dff98d83107f0a6350","source":{"kind":"arxiv","id":"hep-th/0701261","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701261","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701261v2","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701261","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"GZF3ZKHR6YEW","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"GZF3ZKHR6YEWYMTK","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"GZF3ZKHR","created_at":"2026-07-04T15:22:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:GZF3ZKHR6YEWYMTK55ZLCFMZTU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0701261","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-29T11:03:28Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"659f81563c22de596b1c6b8a281db209f7c9e4b1afe87c3a041a9d2cd73233ce","abstract_canon_sha256":"126d5fdc2c063466895d35428f521fa798bae4ebd31208b0afc06ec099df89d8"},"schema_version":"1.0"},"canonical_sha256":"364bbca8f1f6096c326aef72b115999d069712c5359b41dff98d83107f0a6350","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:11.640426Z","signature_b64":"LlExV5uyFXMYDXg6FeOKao0J3CUPudLiPsmxV6Y+8ytq83bk57uUQ1FNYVR/JoKkuNc5TrfrKkoJGnXuhedjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"364bbca8f1f6096c326aef72b115999d069712c5359b41dff98d83107f0a6350","last_reissued_at":"2026-07-04T15:22:11.639968Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:11.639968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0701261","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uKrBZoPb4L2HhOe0VFNC7bYcoUukxTz/1Cvj3Axwb38U9CnOrxUcYjw3eY4x2QLCIM0hBXifo/+WXe+U4M2PCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:57:03.067098Z"},"content_sha256":"cf7b761e8a5d3a37a48eeac36e4818b33d0863dfd63e4da837dbd0c59e555898","schema_version":"1.0","event_id":"sha256:cf7b761e8a5d3a37a48eeac36e4818b33d0863dfd63e4da837dbd0c59e555898"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:GZF3ZKHR6YEWYMTK55ZLCFMZTU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Ahmad Sheykhi, Bin Wang, Rong-Gen Cai","submitted_at":"2007-01-29T11:03:28Z","abstract_excerpt":"We disclose the deep connection between the thermodynamics and gravity in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. We show that the Friedmann equations on the 3-brane embedded in the 5D spacetime with curvature correction terms can be written directly in the form of the first law of thermodynamics on the apparent horizon. Using the first law, we extract the entropy expression of the apparent horizon on the brane, which is useful in studying the thermodynamical properties of the black hole horizon on the brane in Gauss-Bonnet gravity"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701261","kind":"arxiv","version":2},"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/hep-th/0701261/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":"2026-07-04T15:22:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Itlnf96VxDUtIAir7semFRYmAVIpTbjfRBqM9qlqrAgMYwqpQ5bnYVkP4wrnL0BiIS0aW/yjaU7nU9Fda2YXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:57:03.067784Z"},"content_sha256":"f0e93da19f71d8100c68e554d4bd6d6f8a07302575bcbcb408dc7f03257f0534","schema_version":"1.0","event_id":"sha256:f0e93da19f71d8100c68e554d4bd6d6f8a07302575bcbcb408dc7f03257f0534"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZF3ZKHR6YEWYMTK55ZLCFMZTU/bundle.json","state_url":"https://pith.science/pith/GZF3ZKHR6YEWYMTK55ZLCFMZTU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZF3ZKHR6YEWYMTK55ZLCFMZTU/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":"2026-08-03T17:57:03Z","links":{"resolver":"https://pith.science/pith/GZF3ZKHR6YEWYMTK55ZLCFMZTU","bundle":"https://pith.science/pith/GZF3ZKHR6YEWYMTK55ZLCFMZTU/bundle.json","state":"https://pith.science/pith/GZF3ZKHR6YEWYMTK55ZLCFMZTU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZF3ZKHR6YEWYMTK55ZLCFMZTU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:GZF3ZKHR6YEWYMTK55ZLCFMZTU","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":"126d5fdc2c063466895d35428f521fa798bae4ebd31208b0afc06ec099df89d8","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-29T11:03:28Z","title_canon_sha256":"659f81563c22de596b1c6b8a281db209f7c9e4b1afe87c3a041a9d2cd73233ce"},"schema_version":"1.0","source":{"id":"hep-th/0701261","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701261","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701261v2","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701261","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"GZF3ZKHR6YEW","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_16","alias_value":"GZF3ZKHR6YEWYMTK","created_at":"2026-07-04T15:22:11Z"},{"alias_kind":"pith_short_8","alias_value":"GZF3ZKHR","created_at":"2026-07-04T15:22:11Z"}],"graph_snapshots":[{"event_id":"sha256:f0e93da19f71d8100c68e554d4bd6d6f8a07302575bcbcb408dc7f03257f0534","target":"graph","created_at":"2026-07-04T15:22:11Z","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/hep-th/0701261/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We disclose the deep connection between the thermodynamics and gravity in a general braneworld model with curvature correction terms on the brane and in the bulk, respectively. We show that the Friedmann equations on the 3-brane embedded in the 5D spacetime with curvature correction terms can be written directly in the form of the first law of thermodynamics on the apparent horizon. Using the first law, we extract the entropy expression of the apparent horizon on the brane, which is useful in studying the thermodynamical properties of the black hole horizon on the brane in Gauss-Bonnet gravity","authors_text":"Ahmad Sheykhi, Bin Wang, Rong-Gen Cai","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-01-29T11:03:28Z","title":"Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701261","kind":"arxiv","version":2},"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:cf7b761e8a5d3a37a48eeac36e4818b33d0863dfd63e4da837dbd0c59e555898","target":"record","created_at":"2026-07-04T15:22:11Z","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":"126d5fdc2c063466895d35428f521fa798bae4ebd31208b0afc06ec099df89d8","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-29T11:03:28Z","title_canon_sha256":"659f81563c22de596b1c6b8a281db209f7c9e4b1afe87c3a041a9d2cd73233ce"},"schema_version":"1.0","source":{"id":"hep-th/0701261","kind":"arxiv","version":2}},"canonical_sha256":"364bbca8f1f6096c326aef72b115999d069712c5359b41dff98d83107f0a6350","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"364bbca8f1f6096c326aef72b115999d069712c5359b41dff98d83107f0a6350","first_computed_at":"2026-07-04T15:22:11.639968Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:11.639968Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LlExV5uyFXMYDXg6FeOKao0J3CUPudLiPsmxV6Y+8ytq83bk57uUQ1FNYVR/JoKkuNc5TrfrKkoJGnXuhedjCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:11.640426Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0701261","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf7b761e8a5d3a37a48eeac36e4818b33d0863dfd63e4da837dbd0c59e555898","sha256:f0e93da19f71d8100c68e554d4bd6d6f8a07302575bcbcb408dc7f03257f0534"],"state_sha256":"9c93340b6c2cf8c7d811a7247844b74cbb0ec376bf63d3778e0f86bf85ca5be0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bvAlChs4eeYH7dlz2Ou5hyzss8eYqFjIUrUWvD0prpuU3T+U5dgZ7/jFitq56D7uheEDMulNqRDcV/lINxLbBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:57:03.108443Z","bundle_sha256":"8e09abc73be04e3208a012812213e1d4b51abab3981279d778e2670a6c5d9785"}}