{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JXBOR7LJKHF4CCDMN23X3TEAJ7","short_pith_number":"pith:JXBOR7LJ","canonical_record":{"source":{"id":"2307.15267","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-07-28T02:23:52Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"ab012067154cb8bc5917527f298b252450db6e649cf8d436a4920f5094dd494e","abstract_canon_sha256":"b00ceb5a2c6eb6a4a39551178529a5188180cf6704658125682db1ac7185fba3"},"schema_version":"1.0"},"canonical_sha256":"4dc2e8fd6951cbc1086c6eb77dcc804fd8e760f2cc31159b4167e1d4c1cae158","source":{"kind":"arxiv","id":"2307.15267","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.15267","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"arxiv_version","alias_value":"2307.15267v1","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.15267","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"pith_short_12","alias_value":"JXBOR7LJKHF4","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"pith_short_16","alias_value":"JXBOR7LJKHF4CCDM","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"pith_short_8","alias_value":"JXBOR7LJ","created_at":"2026-07-05T06:35:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JXBOR7LJKHF4CCDMN23X3TEAJ7","target":"record","payload":{"canonical_record":{"source":{"id":"2307.15267","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-07-28T02:23:52Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"ab012067154cb8bc5917527f298b252450db6e649cf8d436a4920f5094dd494e","abstract_canon_sha256":"b00ceb5a2c6eb6a4a39551178529a5188180cf6704658125682db1ac7185fba3"},"schema_version":"1.0"},"canonical_sha256":"4dc2e8fd6951cbc1086c6eb77dcc804fd8e760f2cc31159b4167e1d4c1cae158","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:35:32.785238Z","signature_b64":"nsvEoeiEO3x9bRrnlTsVdMeY8HC4ek4hWWR7eeCV7dItMMk+l3/GjkD8iB/V3EUnKwPOk4ZLBonMgzrRtut/Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4dc2e8fd6951cbc1086c6eb77dcc804fd8e760f2cc31159b4167e1d4c1cae158","last_reissued_at":"2026-07-05T06:35:32.784759Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:35:32.784759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2307.15267","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:35:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IjcqEBUTh35PXhTlIAgr+VI2eEkM+gB6gSBwvSEu2r4ltyj5+PyCPwDK/r4GzRSqf0sWYLn6z4GVYUGCNqjvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:13:57.418279Z"},"content_sha256":"c402bfe1bcf641f5e081877a58b36281dbe79f9b029410a885682871cbc10302","schema_version":"1.0","event_id":"sha256:c402bfe1bcf641f5e081877a58b36281dbe79f9b029410a885682871cbc10302"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JXBOR7LJKHF4CCDMN23X3TEAJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The global stability of the Kaluza-Klein spacetime","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"gr-qc","authors_text":"Annalaura Stingo, C\\'ecile Huneau, Zoe Wyatt","submitted_at":"2023-07-28T02:23:52Z","abstract_excerpt":"In this paper we show the classical global stability of the flat Kaluza-Klein spacetime, which corresponds to Minkowski spacetime in $\\m R^{1+4}$ with one direction compactified on a circle. We consider small perturbations which are allowed to vary in all directions including the compact direction. These perturbations lead to the creation of massless modes and Klein-Gordon modes. On the analytic side, this leads to a PDE system coupling wave equations to an infinite sequence of Klein-Gordon equations with different masses. The techniques we use are based purely in physical space using the vect"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.15267","kind":"arxiv","version":1},"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/2307.15267/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":"2026-07-05T06:35:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3oeqU+benmrJXmnNZz04O0Rv4aTyRunWGDdFRyCM/ykyWxRVfuxhoSB2IhM/ZQzEbZe26zwaTnJvAOn9wn10Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T15:13:57.418660Z"},"content_sha256":"48e790f90a9470642f3f0e43e91ca296dd47ce1ed42472eb7d28f1da04d6ca85","schema_version":"1.0","event_id":"sha256:48e790f90a9470642f3f0e43e91ca296dd47ce1ed42472eb7d28f1da04d6ca85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JXBOR7LJKHF4CCDMN23X3TEAJ7/bundle.json","state_url":"https://pith.science/pith/JXBOR7LJKHF4CCDMN23X3TEAJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JXBOR7LJKHF4CCDMN23X3TEAJ7/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":"2026-07-07T15:13:57Z","links":{"resolver":"https://pith.science/pith/JXBOR7LJKHF4CCDMN23X3TEAJ7","bundle":"https://pith.science/pith/JXBOR7LJKHF4CCDMN23X3TEAJ7/bundle.json","state":"https://pith.science/pith/JXBOR7LJKHF4CCDMN23X3TEAJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JXBOR7LJKHF4CCDMN23X3TEAJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JXBOR7LJKHF4CCDMN23X3TEAJ7","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":"b00ceb5a2c6eb6a4a39551178529a5188180cf6704658125682db1ac7185fba3","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-07-28T02:23:52Z","title_canon_sha256":"ab012067154cb8bc5917527f298b252450db6e649cf8d436a4920f5094dd494e"},"schema_version":"1.0","source":{"id":"2307.15267","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.15267","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"arxiv_version","alias_value":"2307.15267v1","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.15267","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"pith_short_12","alias_value":"JXBOR7LJKHF4","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"pith_short_16","alias_value":"JXBOR7LJKHF4CCDM","created_at":"2026-07-05T06:35:32Z"},{"alias_kind":"pith_short_8","alias_value":"JXBOR7LJ","created_at":"2026-07-05T06:35:32Z"}],"graph_snapshots":[{"event_id":"sha256:48e790f90a9470642f3f0e43e91ca296dd47ce1ed42472eb7d28f1da04d6ca85","target":"graph","created_at":"2026-07-05T06:35:32Z","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/2307.15267/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we show the classical global stability of the flat Kaluza-Klein spacetime, which corresponds to Minkowski spacetime in $\\m R^{1+4}$ with one direction compactified on a circle. We consider small perturbations which are allowed to vary in all directions including the compact direction. These perturbations lead to the creation of massless modes and Klein-Gordon modes. On the analytic side, this leads to a PDE system coupling wave equations to an infinite sequence of Klein-Gordon equations with different masses. The techniques we use are based purely in physical space using the vect","authors_text":"Annalaura Stingo, C\\'ecile Huneau, Zoe Wyatt","cross_cats":["math.AP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-07-28T02:23:52Z","title":"The global stability of the Kaluza-Klein spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.15267","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:c402bfe1bcf641f5e081877a58b36281dbe79f9b029410a885682871cbc10302","target":"record","created_at":"2026-07-05T06:35:32Z","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":"b00ceb5a2c6eb6a4a39551178529a5188180cf6704658125682db1ac7185fba3","cross_cats_sorted":["math.AP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-07-28T02:23:52Z","title_canon_sha256":"ab012067154cb8bc5917527f298b252450db6e649cf8d436a4920f5094dd494e"},"schema_version":"1.0","source":{"id":"2307.15267","kind":"arxiv","version":1}},"canonical_sha256":"4dc2e8fd6951cbc1086c6eb77dcc804fd8e760f2cc31159b4167e1d4c1cae158","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4dc2e8fd6951cbc1086c6eb77dcc804fd8e760f2cc31159b4167e1d4c1cae158","first_computed_at":"2026-07-05T06:35:32.784759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:35:32.784759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nsvEoeiEO3x9bRrnlTsVdMeY8HC4ek4hWWR7eeCV7dItMMk+l3/GjkD8iB/V3EUnKwPOk4ZLBonMgzrRtut/Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:35:32.785238Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.15267","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c402bfe1bcf641f5e081877a58b36281dbe79f9b029410a885682871cbc10302","sha256:48e790f90a9470642f3f0e43e91ca296dd47ce1ed42472eb7d28f1da04d6ca85"],"state_sha256":"3e9ba903e4a8de920add3837e9beee883cc13c6ebc8b86572ce4b443e49597ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fVH4dhgykKDbDzxJ2xOjoSxMJYcAdoF6XVzsFHqCBXsyo7rOJdDNrPX5pjXueLuGouBZSMlh/UrXFq5guvwiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T15:13:57.420561Z","bundle_sha256":"2f49cf3bbca0d032ef30a055fdda86e63fc9cfb1fe42ac64eae657acc91b6208"}}