{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:A5BJU7FAGOPK62K3VJZJ5ECRLF","short_pith_number":"pith:A5BJU7FA","canonical_record":{"source":{"id":"0808.2055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-08-14T20:01:13Z","cross_cats_sorted":["astro-ph","gr-qc","hep-th"],"title_canon_sha256":"c3b303304a1e345afbca3930b918293430c871c405bb3961905a0797083f62bf","abstract_canon_sha256":"51af0518d6e96b765622a836c14987209b75bef13c592a2f24a8c1f3b339ef45"},"schema_version":"1.0"},"canonical_sha256":"07429a7ca0339eaf695baa729e90515954f21eb1007deb5f3c362b1f95944a06","source":{"kind":"arxiv","id":"0808.2055","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.2055","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"0808.2055v3","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.2055","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"A5BJU7FAGOPK","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"A5BJU7FAGOPK62K3","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"A5BJU7FA","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:A5BJU7FAGOPK62K3VJZJ5ECRLF","target":"record","payload":{"canonical_record":{"source":{"id":"0808.2055","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-08-14T20:01:13Z","cross_cats_sorted":["astro-ph","gr-qc","hep-th"],"title_canon_sha256":"c3b303304a1e345afbca3930b918293430c871c405bb3961905a0797083f62bf","abstract_canon_sha256":"51af0518d6e96b765622a836c14987209b75bef13c592a2f24a8c1f3b339ef45"},"schema_version":"1.0"},"canonical_sha256":"07429a7ca0339eaf695baa729e90515954f21eb1007deb5f3c362b1f95944a06","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:43.281343Z","signature_b64":"/4NF/jPX4fOKSgCV7Nc9YrfTi/iSLxadbaeKkGzWOntIva0iv9wARgmAD8L0dsHeicFw/FInu75d9vkFihaEBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07429a7ca0339eaf695baa729e90515954f21eb1007deb5f3c362b1f95944a06","last_reissued_at":"2026-05-18T02:15:43.279938Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:43.279938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.2055","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":"2026-05-18T02:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YPxk4h2vFb2ovRBDPVETCmM0LwU8L0EdxlDZixyT1huYP1tEWlpe56bOTsLoX3MZxckvq3W6MUb606WpbVfFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:04:40.754639Z"},"content_sha256":"ce08c0fd7ff03986b60cdebf904cbacd86681e29e7620b25d5e1d9232dc63da6","schema_version":"1.0","event_id":"sha256:ce08c0fd7ff03986b60cdebf904cbacd86681e29e7620b25d5e1d9232dc63da6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:A5BJU7FAGOPK62K3VJZJ5ECRLF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The hierarchy problem, radion mass, localization of gravity and 4D effective Newtonian potential in string theory on $S^{1}/Z_{2}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph","gr-qc","hep-th"],"primary_cat":"hep-ph","authors_text":"Anzhong Wang, N.O. Santos","submitted_at":"2008-08-14T20:01:13Z","abstract_excerpt":"We present a systematical study of brane worlds in string theory on $S^{1}/Z_{2}$. Starting with the toroidal compactification of the NS/NS sector in (D+d) dimensions, we first obtain an effective $D$-dimensional action, and then compactify one of the $(D-1)$ spatial dimensions by introducing two orbifold branes as its boundaries. By combining the Gauss-Codacci and Lanczos equations, we write down explicitly the general gravitational field equations on each of the two branes, while using distribution theory we express the matter field equations on the branes in terms of the discontinuities of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2055","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":"2026-05-18T02:15:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BNR8UIKoMw1/WfR7FDfo9RujoIdsTU+JguKqz0I/wr8+1qU7t1tkd924RyAkG1JGOg6YuOT6BOfA0TiauDeFAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T23:04:40.755266Z"},"content_sha256":"5b2f2edc92b5e71f2063090eac327327d3cddc4bbfa96c449b8512863e35d404","schema_version":"1.0","event_id":"sha256:5b2f2edc92b5e71f2063090eac327327d3cddc4bbfa96c449b8512863e35d404"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A5BJU7FAGOPK62K3VJZJ5ECRLF/bundle.json","state_url":"https://pith.science/pith/A5BJU7FAGOPK62K3VJZJ5ECRLF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A5BJU7FAGOPK62K3VJZJ5ECRLF/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":"2026-06-04T23:04:40Z","links":{"resolver":"https://pith.science/pith/A5BJU7FAGOPK62K3VJZJ5ECRLF","bundle":"https://pith.science/pith/A5BJU7FAGOPK62K3VJZJ5ECRLF/bundle.json","state":"https://pith.science/pith/A5BJU7FAGOPK62K3VJZJ5ECRLF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A5BJU7FAGOPK62K3VJZJ5ECRLF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:A5BJU7FAGOPK62K3VJZJ5ECRLF","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":"51af0518d6e96b765622a836c14987209b75bef13c592a2f24a8c1f3b339ef45","cross_cats_sorted":["astro-ph","gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-08-14T20:01:13Z","title_canon_sha256":"c3b303304a1e345afbca3930b918293430c871c405bb3961905a0797083f62bf"},"schema_version":"1.0","source":{"id":"0808.2055","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.2055","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"arxiv_version","alias_value":"0808.2055v3","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.2055","created_at":"2026-05-18T02:15:43Z"},{"alias_kind":"pith_short_12","alias_value":"A5BJU7FAGOPK","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"A5BJU7FAGOPK62K3","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"A5BJU7FA","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:5b2f2edc92b5e71f2063090eac327327d3cddc4bbfa96c449b8512863e35d404","target":"graph","created_at":"2026-05-18T02:15:43Z","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":"We present a systematical study of brane worlds in string theory on $S^{1}/Z_{2}$. Starting with the toroidal compactification of the NS/NS sector in (D+d) dimensions, we first obtain an effective $D$-dimensional action, and then compactify one of the $(D-1)$ spatial dimensions by introducing two orbifold branes as its boundaries. By combining the Gauss-Codacci and Lanczos equations, we write down explicitly the general gravitational field equations on each of the two branes, while using distribution theory we express the matter field equations on the branes in terms of the discontinuities of ","authors_text":"Anzhong Wang, N.O. Santos","cross_cats":["astro-ph","gr-qc","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-08-14T20:01:13Z","title":"The hierarchy problem, radion mass, localization of gravity and 4D effective Newtonian potential in string theory on $S^{1}/Z_{2}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2055","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:ce08c0fd7ff03986b60cdebf904cbacd86681e29e7620b25d5e1d9232dc63da6","target":"record","created_at":"2026-05-18T02:15:43Z","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":"51af0518d6e96b765622a836c14987209b75bef13c592a2f24a8c1f3b339ef45","cross_cats_sorted":["astro-ph","gr-qc","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-08-14T20:01:13Z","title_canon_sha256":"c3b303304a1e345afbca3930b918293430c871c405bb3961905a0797083f62bf"},"schema_version":"1.0","source":{"id":"0808.2055","kind":"arxiv","version":3}},"canonical_sha256":"07429a7ca0339eaf695baa729e90515954f21eb1007deb5f3c362b1f95944a06","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"07429a7ca0339eaf695baa729e90515954f21eb1007deb5f3c362b1f95944a06","first_computed_at":"2026-05-18T02:15:43.279938Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:43.279938Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/4NF/jPX4fOKSgCV7Nc9YrfTi/iSLxadbaeKkGzWOntIva0iv9wARgmAD8L0dsHeicFw/FInu75d9vkFihaEBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:43.281343Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.2055","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce08c0fd7ff03986b60cdebf904cbacd86681e29e7620b25d5e1d9232dc63da6","sha256:5b2f2edc92b5e71f2063090eac327327d3cddc4bbfa96c449b8512863e35d404"],"state_sha256":"a448785db42f8f2216262f8cba2a25c843530120b5f5bec259ff09569f07d40f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G9dhbPXSwhZ7eyb/jIz8TCkK4EFe5u6QqKLyLOBZ86pTrcbRHiPy+VOMbS/8GKfiDmCdsmHikK4Qol9CPXNNCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T23:04:40.758971Z","bundle_sha256":"3ae437eb75983d0a7e4e8e40c75c67828fcb6004fee435e03c364d38e9e246d8"}}