{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:V2L54JCWSFGZGN6QWXGAD6SJVF","short_pith_number":"pith:V2L54JCW","canonical_record":{"source":{"id":"hep-th/0512224","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-12-19T12:19:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f103bf64bcf92287930142bcdeca7a17048a0022811087ae55cea96f708ab22b","abstract_canon_sha256":"e64169198c46cd00f645f732f028ead42251a9a4a317e666b0c6204b879b04d4"},"schema_version":"1.0"},"canonical_sha256":"ae97de2456914d9337d0b5cc01fa49a96f93105537ac6aa4d9d6ce75ed98904c","source":{"kind":"arxiv","id":"hep-th/0512224","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0512224","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0512224v2","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0512224","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"V2L54JCWSFGZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"V2L54JCWSFGZGN6Q","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"V2L54JCW","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:V2L54JCWSFGZGN6QWXGAD6SJVF","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0512224","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-12-19T12:19:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f103bf64bcf92287930142bcdeca7a17048a0022811087ae55cea96f708ab22b","abstract_canon_sha256":"e64169198c46cd00f645f732f028ead42251a9a4a317e666b0c6204b879b04d4"},"schema_version":"1.0"},"canonical_sha256":"ae97de2456914d9337d0b5cc01fa49a96f93105537ac6aa4d9d6ce75ed98904c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:45.459402Z","signature_b64":"tLB4nxsFDKHByDfzej3CuZaVv/AjngRO17SyWB4hqQUnrEdmDWfajMoJFb1y8PBhnhJxQwv6dktY1b6cRHgnAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ae97de2456914d9337d0b5cc01fa49a96f93105537ac6aa4d9d6ce75ed98904c","last_reissued_at":"2026-05-18T01:38:45.458945Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:45.458945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0512224","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":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iUXiNdI+OhE0vhDRpDddn0xzMJNpPW4mqX8rElQCtwY01zaO+6LUk+PN/CNJ/eeBM+Ibd3R5qV6gwOFfYJ4hDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:43:26.057019Z"},"content_sha256":"8984254a560faf4e2638fff4a694b628c546453ef440328458ac60417bd1e1fb","schema_version":"1.0","event_id":"sha256:8984254a560faf4e2638fff4a694b628c546453ef440328458ac60417bd1e1fb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:V2L54JCWSFGZGN6QWXGAD6SJVF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Geometry of deformations of branes in warped backgrounds","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Sayan Kar (IIT Kharagpur), Supratik Pal","submitted_at":"2005-12-19T12:19:25Z","abstract_excerpt":"The `braneworld' (described by the usual worldvolume action) is a D dimensional timelike surface embedded in a N dimensional ($N>D$) warped, nonfactorisable spacetime. We first address the conditions on the warp factor required to have an extremal flat brane in a five dimensional background. Subsequently, we deal with normal deformations of such extremal branes. The ensuing Jacobi equations are analysed to obtain the stability condition. It turns out that to have a stable brane, the warp factor should have a minimum at the location of the brane in the given background spacetime. To illustrate "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0512224","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":""},"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":"2026-05-18T01:38:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tyscVye/XbptSrj9YaSxnObXeLYTARsM2Wh6dpmdeEJtlzGBsBDGyfmr/ZDasJoocN7FSQ3VTYg1Xvch7DkfDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:43:26.057379Z"},"content_sha256":"16c9ab48710ae4d8f0f622c1f5e907e9379adb9e521e3ec3b09d1cd5fc165b10","schema_version":"1.0","event_id":"sha256:16c9ab48710ae4d8f0f622c1f5e907e9379adb9e521e3ec3b09d1cd5fc165b10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2L54JCWSFGZGN6QWXGAD6SJVF/bundle.json","state_url":"https://pith.science/pith/V2L54JCWSFGZGN6QWXGAD6SJVF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2L54JCWSFGZGN6QWXGAD6SJVF/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":"2026-07-02T20:43:26Z","links":{"resolver":"https://pith.science/pith/V2L54JCWSFGZGN6QWXGAD6SJVF","bundle":"https://pith.science/pith/V2L54JCWSFGZGN6QWXGAD6SJVF/bundle.json","state":"https://pith.science/pith/V2L54JCWSFGZGN6QWXGAD6SJVF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2L54JCWSFGZGN6QWXGAD6SJVF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:V2L54JCWSFGZGN6QWXGAD6SJVF","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":"e64169198c46cd00f645f732f028ead42251a9a4a317e666b0c6204b879b04d4","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-19T12:19:25Z","title_canon_sha256":"f103bf64bcf92287930142bcdeca7a17048a0022811087ae55cea96f708ab22b"},"schema_version":"1.0","source":{"id":"hep-th/0512224","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0512224","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0512224v2","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0512224","created_at":"2026-05-18T01:38:45Z"},{"alias_kind":"pith_short_12","alias_value":"V2L54JCWSFGZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"V2L54JCWSFGZGN6Q","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"V2L54JCW","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:16c9ab48710ae4d8f0f622c1f5e907e9379adb9e521e3ec3b09d1cd5fc165b10","target":"graph","created_at":"2026-05-18T01:38:45Z","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":"The `braneworld' (described by the usual worldvolume action) is a D dimensional timelike surface embedded in a N dimensional ($N>D$) warped, nonfactorisable spacetime. We first address the conditions on the warp factor required to have an extremal flat brane in a five dimensional background. Subsequently, we deal with normal deformations of such extremal branes. The ensuing Jacobi equations are analysed to obtain the stability condition. It turns out that to have a stable brane, the warp factor should have a minimum at the location of the brane in the given background spacetime. To illustrate ","authors_text":"Sayan Kar (IIT Kharagpur), Supratik Pal","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-12-19T12:19:25Z","title":"Geometry of deformations of branes in warped backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0512224","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":"sha256:8984254a560faf4e2638fff4a694b628c546453ef440328458ac60417bd1e1fb","target":"record","created_at":"2026-05-18T01:38:45Z","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":"e64169198c46cd00f645f732f028ead42251a9a4a317e666b0c6204b879b04d4","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2005-12-19T12:19:25Z","title_canon_sha256":"f103bf64bcf92287930142bcdeca7a17048a0022811087ae55cea96f708ab22b"},"schema_version":"1.0","source":{"id":"hep-th/0512224","kind":"arxiv","version":2}},"canonical_sha256":"ae97de2456914d9337d0b5cc01fa49a96f93105537ac6aa4d9d6ce75ed98904c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae97de2456914d9337d0b5cc01fa49a96f93105537ac6aa4d9d6ce75ed98904c","first_computed_at":"2026-05-18T01:38:45.458945Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:45.458945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tLB4nxsFDKHByDfzej3CuZaVv/AjngRO17SyWB4hqQUnrEdmDWfajMoJFb1y8PBhnhJxQwv6dktY1b6cRHgnAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:45.459402Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0512224","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8984254a560faf4e2638fff4a694b628c546453ef440328458ac60417bd1e1fb","sha256:16c9ab48710ae4d8f0f622c1f5e907e9379adb9e521e3ec3b09d1cd5fc165b10"],"state_sha256":"ba55c41842e3bd96c33476477bb67b6c6acd1c4f00b5b13003b9070d1719cf10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5OSB5DYz4PHhbL9i6sl7Llr3VXUDc6+qQohR3ffdana9kAroOAb1KpygiejUVrx9XYCWu/O4NuYt+aa99y0rDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:43:26.059275Z","bundle_sha256":"ef9c30da0355d85c77a9f98ec2785a4e2a3bd375c79cc56fc73691badd2c3e0c"}}