{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:7B4RH6H46QGHGRZDEJZBVRXS3H","short_pith_number":"pith:7B4RH6H4","canonical_record":{"source":{"id":"1008.3686","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-22T09:21:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3e425b749b66f90367ad965baeeb73487212f1cdb70222f3d4e2e88d6383eeb0","abstract_canon_sha256":"133d9104d632723b9a2ecb89c6fd5acb7b6f7e5585f833cc3fb623785b8eb9df"},"schema_version":"1.0"},"canonical_sha256":"f87913f8fcf40c73472322721ac6f2d9c19e1c9b28b9363be8457c9da0e5c30c","source":{"kind":"arxiv","id":"1008.3686","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3686","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3686v3","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3686","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"7B4RH6H46QGH","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7B4RH6H46QGHGRZD","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7B4RH6H4","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:7B4RH6H46QGHGRZDEJZBVRXS3H","target":"record","payload":{"canonical_record":{"source":{"id":"1008.3686","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-22T09:21:24Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"3e425b749b66f90367ad965baeeb73487212f1cdb70222f3d4e2e88d6383eeb0","abstract_canon_sha256":"133d9104d632723b9a2ecb89c6fd5acb7b6f7e5585f833cc3fb623785b8eb9df"},"schema_version":"1.0"},"canonical_sha256":"f87913f8fcf40c73472322721ac6f2d9c19e1c9b28b9363be8457c9da0e5c30c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:37.020022Z","signature_b64":"pL8ZQcXvQfAFtCepZyQGmVcMADSZ18GP1i1vwa5Js0bkt6QRY41QOmWnyNCJojlb6oTEXZkk2NCAugz30C2eBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f87913f8fcf40c73472322721ac6f2d9c19e1c9b28b9363be8457c9da0e5c30c","last_reissued_at":"2026-05-18T03:58:37.019359Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:37.019359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.3686","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":"2026-05-18T03:58:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GOovzJbuNkjiQ/e+wUZCJPZBaECyUH+eiYJK3yz/cKWHBzDCa2n973NaRgOiX5J+DNBUUgqjoBrkH6GCEb9vCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:28:19.109688Z"},"content_sha256":"822adfe6072a1c80182d6364ec4c3162998ed192c8994dbe7502647cc1b93bd9","schema_version":"1.0","event_id":"sha256:822adfe6072a1c80182d6364ec4c3162998ed192c8994dbe7502647cc1b93bd9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:7B4RH6H46QGHGRZDEJZBVRXS3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravity Localization and Effective Newtonian Potential for Bent Thick Branes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Chun-E Fu, Heng Guo, Shao-Wen Wei, Yu-Xiao Liu","submitted_at":"2010-08-22T09:21:24Z","abstract_excerpt":"In this letter, we first investigate the gravity localization and mass spectrum of gravity KK modes on de Sitter and Anti-de Sitter thick branes. Then, the effective Newtonian gravitational potentials for these bent branes are discussed by the two typical examples. The corrections of the Newtonian potential turns out to be $\\Delta U(r)\\sim 1/r^{2}$ at small $r$ for both cases. These corrections are very different from that of the Randall-Sundrum brane model $\\Delta U(r)\\sim 1/r^{3}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3686","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":""},"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":"2026-05-18T03:58:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2QJ4ZQt3iwT4qprhxBTtUldJb4XjNVEH+eIgqlprkOTX3JU6QshLOVFXS0sXKFUhcrUuL5lJ4b+qCLf6xZj6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:28:19.110040Z"},"content_sha256":"57cdac92f7ae704728c957cb85d57fbb7331e19d62b20267750ea8dd02c7e1cb","schema_version":"1.0","event_id":"sha256:57cdac92f7ae704728c957cb85d57fbb7331e19d62b20267750ea8dd02c7e1cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7B4RH6H46QGHGRZDEJZBVRXS3H/bundle.json","state_url":"https://pith.science/pith/7B4RH6H46QGHGRZDEJZBVRXS3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7B4RH6H46QGHGRZDEJZBVRXS3H/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":"2026-05-27T07:28:19Z","links":{"resolver":"https://pith.science/pith/7B4RH6H46QGHGRZDEJZBVRXS3H","bundle":"https://pith.science/pith/7B4RH6H46QGHGRZDEJZBVRXS3H/bundle.json","state":"https://pith.science/pith/7B4RH6H46QGHGRZDEJZBVRXS3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7B4RH6H46QGHGRZDEJZBVRXS3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7B4RH6H46QGHGRZDEJZBVRXS3H","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":"133d9104d632723b9a2ecb89c6fd5acb7b6f7e5585f833cc3fb623785b8eb9df","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-22T09:21:24Z","title_canon_sha256":"3e425b749b66f90367ad965baeeb73487212f1cdb70222f3d4e2e88d6383eeb0"},"schema_version":"1.0","source":{"id":"1008.3686","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3686","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3686v3","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3686","created_at":"2026-05-18T03:58:37Z"},{"alias_kind":"pith_short_12","alias_value":"7B4RH6H46QGH","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"7B4RH6H46QGHGRZD","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"7B4RH6H4","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:57cdac92f7ae704728c957cb85d57fbb7331e19d62b20267750ea8dd02c7e1cb","target":"graph","created_at":"2026-05-18T03:58:37Z","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":"In this letter, we first investigate the gravity localization and mass spectrum of gravity KK modes on de Sitter and Anti-de Sitter thick branes. Then, the effective Newtonian gravitational potentials for these bent branes are discussed by the two typical examples. The corrections of the Newtonian potential turns out to be $\\Delta U(r)\\sim 1/r^{2}$ at small $r$ for both cases. These corrections are very different from that of the Randall-Sundrum brane model $\\Delta U(r)\\sim 1/r^{3}$.","authors_text":"Chun-E Fu, Heng Guo, Shao-Wen Wei, Yu-Xiao Liu","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-22T09:21:24Z","title":"Gravity Localization and Effective Newtonian Potential for Bent Thick Branes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3686","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":"sha256:822adfe6072a1c80182d6364ec4c3162998ed192c8994dbe7502647cc1b93bd9","target":"record","created_at":"2026-05-18T03:58:37Z","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":"133d9104d632723b9a2ecb89c6fd5acb7b6f7e5585f833cc3fb623785b8eb9df","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-22T09:21:24Z","title_canon_sha256":"3e425b749b66f90367ad965baeeb73487212f1cdb70222f3d4e2e88d6383eeb0"},"schema_version":"1.0","source":{"id":"1008.3686","kind":"arxiv","version":3}},"canonical_sha256":"f87913f8fcf40c73472322721ac6f2d9c19e1c9b28b9363be8457c9da0e5c30c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f87913f8fcf40c73472322721ac6f2d9c19e1c9b28b9363be8457c9da0e5c30c","first_computed_at":"2026-05-18T03:58:37.019359Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:37.019359Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pL8ZQcXvQfAFtCepZyQGmVcMADSZ18GP1i1vwa5Js0bkt6QRY41QOmWnyNCJojlb6oTEXZkk2NCAugz30C2eBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:37.020022Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3686","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:822adfe6072a1c80182d6364ec4c3162998ed192c8994dbe7502647cc1b93bd9","sha256:57cdac92f7ae704728c957cb85d57fbb7331e19d62b20267750ea8dd02c7e1cb"],"state_sha256":"72e92b49ba50277dd80f9f81661d489fd620b93c4c4e2e04739f1a5efba9a027"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DTCkQTRs40tThrpHoXR5L0TTO9K0EBTxV90tGvQQXmx/ykzcPvXTd+rX71dD8Q3rFi9GRqRSUOY26+uCYsMZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:28:19.112558Z","bundle_sha256":"d3dfc02f3706883406c338b2ed32120fa01aa475d85572dc7158e9177ffb1ba1"}}