{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VKTTKQEKW5PRI5YDJ26XJHGHVY","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":"cb8765bcb8302540de0a0331c39e1df97e56c4c2bdca26858a8b57a8f2784671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-26T05:39:01Z","title_canon_sha256":"a9aaa4a50aae2b61aecc208dcc75fc58d9b1648cd14aa2e908e4cde370bcc8ab"},"schema_version":"1.0","source":{"id":"1003.5041","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.5041","created_at":"2026-05-18T00:37:22Z"},{"alias_kind":"arxiv_version","alias_value":"1003.5041v1","created_at":"2026-05-18T00:37:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.5041","created_at":"2026-05-18T00:37:22Z"},{"alias_kind":"pith_short_12","alias_value":"VKTTKQEKW5PR","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VKTTKQEKW5PRI5YD","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VKTTKQEK","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:d74d31fb203c99c9ae465a46efd73a3b4701876e8aac6332fcbe10256660eff8","target":"graph","created_at":"2026-05-18T00:37:22Z","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":"Casimir energy is calculated for 5D scalar theory in the {\\it warped} geometry. A new regularization, called {\\it sphere lattice regularization}, is taken. The regularized configuration is {\\it closed-string like}. We numerically evaluate $\\La$(4D UV-cutoff), $\\om$(5D bulk curvature, warp parameter) and $T$(extra space IR parameter) dependence of Casimir energy. 5D Casimir energy is {\\it finitely} obtained after the {\\it proper renormalization procedure.} The {\\it warp parameter} $\\om$ suffers from the {\\it renormalization effect}. We examine the cosmological constant problem.","authors_text":"Shoichi Ichinose","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-26T05:39:01Z","title":"New Regularization in Extra Dimensional Model and Renormalization Group Flow of the Cosmological Constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.5041","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":"sha256:1ecabed0c5bdae6a81b2d582e2fa5bbcb49cbb092b603dc03017011fb299030f","target":"record","created_at":"2026-05-18T00:37:22Z","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":"cb8765bcb8302540de0a0331c39e1df97e56c4c2bdca26858a8b57a8f2784671","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-03-26T05:39:01Z","title_canon_sha256":"a9aaa4a50aae2b61aecc208dcc75fc58d9b1648cd14aa2e908e4cde370bcc8ab"},"schema_version":"1.0","source":{"id":"1003.5041","kind":"arxiv","version":1}},"canonical_sha256":"aaa735408ab75f1477034ebd749cc7ae312674df7c3c03114dc2d3057cc670d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aaa735408ab75f1477034ebd749cc7ae312674df7c3c03114dc2d3057cc670d4","first_computed_at":"2026-05-18T00:37:22.978810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:22.978810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+w5BbztZ/YBpOdGkhHiB2oqg9ZrLmzQdzUUMcTeQ6LA6FdcA7xbZMxuKryctdLiMppTeY3nJdRl6sSNb0mUzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:22.979548Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.5041","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ecabed0c5bdae6a81b2d582e2fa5bbcb49cbb092b603dc03017011fb299030f","sha256:d74d31fb203c99c9ae465a46efd73a3b4701876e8aac6332fcbe10256660eff8"],"state_sha256":"fb4a23f647797cfe231cbb7940c88db6793f213b89d6ddd16b51d8095881eaa5"}