{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:SQ2OTNB5AFIEBW6VBZSZ54B4X7","short_pith_number":"pith:SQ2OTNB5","canonical_record":{"source":{"id":"hep-th/0701198","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-22T12:08:23Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"7635664f9179e72713e68f3a7454b4f65e17a6950313b0f4fd38b4bcfbdd9580","abstract_canon_sha256":"b5f59cb047c7a83d621581d8ec3eeb54381861a340d5d85970d39ca59f226509"},"schema_version":"1.0"},"canonical_sha256":"9434e9b43d015040dbd50e659ef03cbfc5f756a876ba7d2b465e8bc28bb84828","source":{"kind":"arxiv","id":"hep-th/0701198","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701198","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701198v3","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701198","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_12","alias_value":"SQ2OTNB5AFIE","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_16","alias_value":"SQ2OTNB5AFIEBW6V","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_8","alias_value":"SQ2OTNB5","created_at":"2026-07-04T15:25:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:SQ2OTNB5AFIEBW6VBZSZ54B4X7","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0701198","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2007-01-22T12:08:23Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"7635664f9179e72713e68f3a7454b4f65e17a6950313b0f4fd38b4bcfbdd9580","abstract_canon_sha256":"b5f59cb047c7a83d621581d8ec3eeb54381861a340d5d85970d39ca59f226509"},"schema_version":"1.0"},"canonical_sha256":"9434e9b43d015040dbd50e659ef03cbfc5f756a876ba7d2b465e8bc28bb84828","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:25:20.971626Z","signature_b64":"TpI8H9RniK6bun8srX2Z2rl76PYTYExpd3yPeBcmVknoLU43RvbXn4Kw0aAoLF3wxgqB0uxsNLpqGhajw0G0CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9434e9b43d015040dbd50e659ef03cbfc5f756a876ba7d2b465e8bc28bb84828","last_reissued_at":"2026-07-04T15:25:20.971243Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:25:20.971243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0701198","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:25:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2JtjvfD0sPHfbsLtOCjpCNbhieZhuKhKUu5FLtj/oLLdFalPQZP4c85QYuKmbZVLbmHMktEvHX1dpGahVaYiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T17:04:02.824779Z"},"content_sha256":"f7226a041da10c72b807b61ef5a5d545c1e76745cd52deff1c427e9758faa49c","schema_version":"1.0","event_id":"sha256:f7226a041da10c72b807b61ef5a5d545c1e76745cd52deff1c427e9758faa49c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:SQ2OTNB5AFIEBW6VBZSZ54B4X7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"Ahmad Sheykhi, Bin Wang, Rong-Gen Cai","submitted_at":"2007-01-22T12:08:23Z","abstract_excerpt":"In this paper we first obtain Friedmann equations for the $(n-1)$-dimensional brane embedded in the $(n+1)$-dimensional bulk, with intrinsic curvature term of the brane included in the action (DGP model). Then, we show that one can always rewrite the Friedmann equations in the form of the first law of thermodynamics, $dE=TdS+WdV$, at apparent horizon on the brane, regardless of whether there is the intrinsic curvature term on the brane or a cosmological constant in the bulk. Using the first law, we extract the entropy expression of the apparent horizon on the brane. We also show that in the ca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701198","kind":"arxiv","version":3},"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/0701198/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":"2026-07-04T15:25:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yesWTAU9oCHqRaxdoUYezvBGYPfv5Wf6sCsSDcPm1/VoIY3RXsK63fWoXKlOC/JUWBgX+z9PMmhVvaUleAeEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T17:04:02.825107Z"},"content_sha256":"cd864c7a673ea806d160d4d749fa88c63891c844aab84c4a3d123fcb97b59d39","schema_version":"1.0","event_id":"sha256:cd864c7a673ea806d160d4d749fa88c63891c844aab84c4a3d123fcb97b59d39"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SQ2OTNB5AFIEBW6VBZSZ54B4X7/bundle.json","state_url":"https://pith.science/pith/SQ2OTNB5AFIEBW6VBZSZ54B4X7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SQ2OTNB5AFIEBW6VBZSZ54B4X7/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":"2026-08-02T17:04:02Z","links":{"resolver":"https://pith.science/pith/SQ2OTNB5AFIEBW6VBZSZ54B4X7","bundle":"https://pith.science/pith/SQ2OTNB5AFIEBW6VBZSZ54B4X7/bundle.json","state":"https://pith.science/pith/SQ2OTNB5AFIEBW6VBZSZ54B4X7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SQ2OTNB5AFIEBW6VBZSZ54B4X7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:SQ2OTNB5AFIEBW6VBZSZ54B4X7","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":"b5f59cb047c7a83d621581d8ec3eeb54381861a340d5d85970d39ca59f226509","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-22T12:08:23Z","title_canon_sha256":"7635664f9179e72713e68f3a7454b4f65e17a6950313b0f4fd38b4bcfbdd9580"},"schema_version":"1.0","source":{"id":"hep-th/0701198","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0701198","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0701198v3","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0701198","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_12","alias_value":"SQ2OTNB5AFIE","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_16","alias_value":"SQ2OTNB5AFIEBW6V","created_at":"2026-07-04T15:25:20Z"},{"alias_kind":"pith_short_8","alias_value":"SQ2OTNB5","created_at":"2026-07-04T15:25:20Z"}],"graph_snapshots":[{"event_id":"sha256:cd864c7a673ea806d160d4d749fa88c63891c844aab84c4a3d123fcb97b59d39","target":"graph","created_at":"2026-07-04T15:25:20Z","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/0701198/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we first obtain Friedmann equations for the $(n-1)$-dimensional brane embedded in the $(n+1)$-dimensional bulk, with intrinsic curvature term of the brane included in the action (DGP model). Then, we show that one can always rewrite the Friedmann equations in the form of the first law of thermodynamics, $dE=TdS+WdV$, at apparent horizon on the brane, regardless of whether there is the intrinsic curvature term on the brane or a cosmological constant in the bulk. Using the first law, we extract the entropy expression of the apparent horizon on the brane. We also show that in the ca","authors_text":"Ahmad Sheykhi, Bin Wang, Rong-Gen Cai","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2007-01-22T12:08:23Z","title":"Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0701198","kind":"arxiv","version":3},"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:f7226a041da10c72b807b61ef5a5d545c1e76745cd52deff1c427e9758faa49c","target":"record","created_at":"2026-07-04T15:25:20Z","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":"b5f59cb047c7a83d621581d8ec3eeb54381861a340d5d85970d39ca59f226509","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2007-01-22T12:08:23Z","title_canon_sha256":"7635664f9179e72713e68f3a7454b4f65e17a6950313b0f4fd38b4bcfbdd9580"},"schema_version":"1.0","source":{"id":"hep-th/0701198","kind":"arxiv","version":3}},"canonical_sha256":"9434e9b43d015040dbd50e659ef03cbfc5f756a876ba7d2b465e8bc28bb84828","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9434e9b43d015040dbd50e659ef03cbfc5f756a876ba7d2b465e8bc28bb84828","first_computed_at":"2026-07-04T15:25:20.971243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:25:20.971243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TpI8H9RniK6bun8srX2Z2rl76PYTYExpd3yPeBcmVknoLU43RvbXn4Kw0aAoLF3wxgqB0uxsNLpqGhajw0G0CA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:25:20.971626Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0701198","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f7226a041da10c72b807b61ef5a5d545c1e76745cd52deff1c427e9758faa49c","sha256:cd864c7a673ea806d160d4d749fa88c63891c844aab84c4a3d123fcb97b59d39"],"state_sha256":"f403f9b11e1515127680724036dca7ea4710ce67bd86d0c9720850deacb74c01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jo/r2dtNzuIjJ4ze4HT1PMB8iH4LQoknINitKEBwTZzSEcZDLJt48MyNW7Xn+8Qj9I7mihGSTPESVze2SjHoDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T17:04:02.827921Z","bundle_sha256":"3cdd405d6585cc3cfbee105d3d74ab36a56a24e3878e56edc2acbf35698e90cc"}}