{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:7HWZXSZEKNQGRXJTXB6FIX74OM","short_pith_number":"pith:7HWZXSZE","canonical_record":{"source":{"id":"2205.08125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-17T06:51:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6cb941b7f4130bf9229196933023f807eedc7db3d8a40cfcbe0460c0f728c3ba","abstract_canon_sha256":"0016c4c19c3e1a7449644e955c116446398868f06833e04f9d06fbc852b8f9ba"},"schema_version":"1.0"},"canonical_sha256":"f9ed9bcb24536068dd33b87c545ffc732d2fcf2642fb21597c3ccaddeb9bcd03","source":{"kind":"arxiv","id":"2205.08125","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08125","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08125v2","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08125","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"7HWZXSZEKNQG","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"pith_short_16","alias_value":"7HWZXSZEKNQGRXJT","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"pith_short_8","alias_value":"7HWZXSZE","created_at":"2026-07-05T05:04:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:7HWZXSZEKNQGRXJTXB6FIX74OM","target":"record","payload":{"canonical_record":{"source":{"id":"2205.08125","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-17T06:51:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6cb941b7f4130bf9229196933023f807eedc7db3d8a40cfcbe0460c0f728c3ba","abstract_canon_sha256":"0016c4c19c3e1a7449644e955c116446398868f06833e04f9d06fbc852b8f9ba"},"schema_version":"1.0"},"canonical_sha256":"f9ed9bcb24536068dd33b87c545ffc732d2fcf2642fb21597c3ccaddeb9bcd03","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:04:13.149171Z","signature_b64":"I7av/71dN+f7Qiijr/ZyFkalytCFM8Ht2iuwe21kL8udfnCiLssdT32GephHgvnJudM6y155AZAi0ClrNnk4Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9ed9bcb24536068dd33b87c545ffc732d2fcf2642fb21597c3ccaddeb9bcd03","last_reissued_at":"2026-07-05T05:04:13.148659Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:04:13.148659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2205.08125","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":"2026-07-05T05:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zFkWg76ygUm3N8BdiEWR++Ug8yF3l3lC+zGwiyMyeMcFEpmn8b+w6iVMW2FXz3GvcOHWcjLuEF7gBLlygJtrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T11:40:42.823452Z"},"content_sha256":"c6a9999d2160f74c8ac3fddeb4a8275aba2fab0d986fed56d1dde33f293791e6","schema_version":"1.0","event_id":"sha256:c6a9999d2160f74c8ac3fddeb4a8275aba2fab0d986fed56d1dde33f293791e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:7HWZXSZEKNQGRXJTXB6FIX74OM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localizing branes with bifurcating bulks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Ignatios Antoniadis, John Miritzis, Spiros Cotsakis","submitted_at":"2022-05-17T06:51:55Z","abstract_excerpt":"We study the problem of evolution of bulk 5-fluids having an embedded braneworld with a flat, de Sitter, or anti-de Sitter geometry. We introduce new variables to express the Einstein equations as a dynamical system that depends on the equation of state parameter $\\gamma$ and exponent $\\lambda$. For linear fluids (i.e., $\\lambda=1$), our formulation leads to a partial decoupling of the equations and thus to an exact solution. We find that such a fluid develops a transcritical bifurcation around the value $\\gamma=-1/2$, and study how this behaviour affects to stability of the solutions. For non"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08125","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.08125/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":"2026-07-05T05:04:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FIGL3v/oEmoZNWN9O4qcF6JgP6HOZn4si27ZCGuIq3RYF2I5mNbrnBcO6PxAul9mcTylDRdsXAJk5I6swRJgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T11:40:42.824237Z"},"content_sha256":"555c0b01e4c9c8523f06f6dd3683ffd4c3c9137f0f1d7e36ecc3e6cefc9bfef5","schema_version":"1.0","event_id":"sha256:555c0b01e4c9c8523f06f6dd3683ffd4c3c9137f0f1d7e36ecc3e6cefc9bfef5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7HWZXSZEKNQGRXJTXB6FIX74OM/bundle.json","state_url":"https://pith.science/pith/7HWZXSZEKNQGRXJTXB6FIX74OM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7HWZXSZEKNQGRXJTXB6FIX74OM/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":"2026-08-14T11:40:42Z","links":{"resolver":"https://pith.science/pith/7HWZXSZEKNQGRXJTXB6FIX74OM","bundle":"https://pith.science/pith/7HWZXSZEKNQGRXJTXB6FIX74OM/bundle.json","state":"https://pith.science/pith/7HWZXSZEKNQGRXJTXB6FIX74OM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7HWZXSZEKNQGRXJTXB6FIX74OM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7HWZXSZEKNQGRXJTXB6FIX74OM","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":"0016c4c19c3e1a7449644e955c116446398868f06833e04f9d06fbc852b8f9ba","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-17T06:51:55Z","title_canon_sha256":"6cb941b7f4130bf9229196933023f807eedc7db3d8a40cfcbe0460c0f728c3ba"},"schema_version":"1.0","source":{"id":"2205.08125","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2205.08125","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"arxiv_version","alias_value":"2205.08125v2","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2205.08125","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"pith_short_12","alias_value":"7HWZXSZEKNQG","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"pith_short_16","alias_value":"7HWZXSZEKNQGRXJT","created_at":"2026-07-05T05:04:13Z"},{"alias_kind":"pith_short_8","alias_value":"7HWZXSZE","created_at":"2026-07-05T05:04:13Z"}],"graph_snapshots":[{"event_id":"sha256:555c0b01e4c9c8523f06f6dd3683ffd4c3c9137f0f1d7e36ecc3e6cefc9bfef5","target":"graph","created_at":"2026-07-05T05:04:13Z","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/2205.08125/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of evolution of bulk 5-fluids having an embedded braneworld with a flat, de Sitter, or anti-de Sitter geometry. We introduce new variables to express the Einstein equations as a dynamical system that depends on the equation of state parameter $\\gamma$ and exponent $\\lambda$. For linear fluids (i.e., $\\lambda=1$), our formulation leads to a partial decoupling of the equations and thus to an exact solution. We find that such a fluid develops a transcritical bifurcation around the value $\\gamma=-1/2$, and study how this behaviour affects to stability of the solutions. For non","authors_text":"Ignatios Antoniadis, John Miritzis, Spiros Cotsakis","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-17T06:51:55Z","title":"Localizing branes with bifurcating bulks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.08125","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:c6a9999d2160f74c8ac3fddeb4a8275aba2fab0d986fed56d1dde33f293791e6","target":"record","created_at":"2026-07-05T05:04:13Z","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":"0016c4c19c3e1a7449644e955c116446398868f06833e04f9d06fbc852b8f9ba","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-05-17T06:51:55Z","title_canon_sha256":"6cb941b7f4130bf9229196933023f807eedc7db3d8a40cfcbe0460c0f728c3ba"},"schema_version":"1.0","source":{"id":"2205.08125","kind":"arxiv","version":2}},"canonical_sha256":"f9ed9bcb24536068dd33b87c545ffc732d2fcf2642fb21597c3ccaddeb9bcd03","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9ed9bcb24536068dd33b87c545ffc732d2fcf2642fb21597c3ccaddeb9bcd03","first_computed_at":"2026-07-05T05:04:13.148659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:04:13.148659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I7av/71dN+f7Qiijr/ZyFkalytCFM8Ht2iuwe21kL8udfnCiLssdT32GephHgvnJudM6y155AZAi0ClrNnk4Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:04:13.149171Z","signed_message":"canonical_sha256_bytes"},"source_id":"2205.08125","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6a9999d2160f74c8ac3fddeb4a8275aba2fab0d986fed56d1dde33f293791e6","sha256:555c0b01e4c9c8523f06f6dd3683ffd4c3c9137f0f1d7e36ecc3e6cefc9bfef5"],"state_sha256":"452102b48882f498ada4f70604b3e1f84a255a3eae05085867bc4e856670261e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tBzSSu2mXuf0e0Ie2QhHK/1IdrQnSoEsJi3hUIMCPY1678V3vOvTuGnWHV1eEfDfMO3f7PrXIczwEBA97GxlAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T11:40:42.834101Z","bundle_sha256":"a51260d40433c79027aa98baaa9f02e6f7811f9cfae3a8dcc5115433657aa851"}}