{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:ND2KVPQL3KZJEYNWKGCXJUUC6Z","short_pith_number":"pith:ND2KVPQL","canonical_record":{"source":{"id":"hep-th/0404220","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-04-28T04:37:02Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"dd8d6ef48c97716d95d0ed687148566f2335598234ae0637a49472c716e336b5","abstract_canon_sha256":"0b5c8c7979d86561ea0853de6fe0e822b929210eecabbc307cf55129a925fb5b"},"schema_version":"1.0"},"canonical_sha256":"68f4aabe0bdab29261b6518574d282f64540f3e6e4d304737e874dd0c1cecc66","source":{"kind":"arxiv","id":"hep-th/0404220","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0404220","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0404220v2","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0404220","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"pith_short_12","alias_value":"ND2KVPQL3KZJ","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"pith_short_16","alias_value":"ND2KVPQL3KZJEYNW","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"pith_short_8","alias_value":"ND2KVPQL","created_at":"2026-07-04T16:48:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:ND2KVPQL3KZJEYNWKGCXJUUC6Z","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0404220","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-04-28T04:37:02Z","cross_cats_sorted":["astro-ph","gr-qc"],"title_canon_sha256":"dd8d6ef48c97716d95d0ed687148566f2335598234ae0637a49472c716e336b5","abstract_canon_sha256":"0b5c8c7979d86561ea0853de6fe0e822b929210eecabbc307cf55129a925fb5b"},"schema_version":"1.0"},"canonical_sha256":"68f4aabe0bdab29261b6518574d282f64540f3e6e4d304737e874dd0c1cecc66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:48:47.015118Z","signature_b64":"eN4m1Dvqkl+elPahQu6KwpX/AJI9DR2leY0Txx4JdzVvVzqU0m/s7WR8QQpzVMhothEY+9zRKiwe5KVCl7sGAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68f4aabe0bdab29261b6518574d282f64540f3e6e4d304737e874dd0c1cecc66","last_reissued_at":"2026-07-04T16:48:47.014758Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:48:47.014758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0404220","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":"2026-07-04T16:48:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E8CN1mZhOGOc6en9+YcQul+he8unr/OmjrAzxmdBIWRH5pNc/xuPvBMiQfTQdMoarPmpkjzYyzldQ9w+5vDDCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T18:10:36.268409Z"},"content_sha256":"be351aea65490218f4e2a61a84d3fba7550510d087d3cb091d448058a17554c4","schema_version":"1.0","event_id":"sha256:be351aea65490218f4e2a61a84d3fba7550510d087d3cb091d448058a17554c4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:ND2KVPQL3KZJEYNWKGCXJUUC6Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spontaneous decompactification","license":"","headline":"","cross_cats":["astro-ph","gr-qc"],"primary_cat":"hep-th","authors_text":"Robert C. Myers, Steven B. Giddings","submitted_at":"2004-04-28T04:37:02Z","abstract_excerpt":"Positive vacuum energy together with extra dimensions of space imply that our four-dimensional Universe is unstable, generically to decompactification of the extra dimensions. Either quantum tunneling or thermal fluctuations carry one past a barrier into the decompactifying regime. We give an overview of this process, and examine the subsequent expansion into the higher- dimensional geometry. This is governed by certain fixed-point solutions of the evolution equations, which are studied for both positive and negative spatial curvature. In the case where there is a higher-dimensional cosmologic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0404220","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/hep-th/0404220/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":"2026-07-04T16:48:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AH4MooTqAYQSt88L7IfHLbwGXCHxf9E7wTOlSkcenw6WdRX8GJtswoGuGy2rhdsqyrkyQceyK2t6jggpJGVxAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T18:10:36.268885Z"},"content_sha256":"7c1fb56278113c84f991845f683da0b951a50a035c7af38fe1e19f910846d3eb","schema_version":"1.0","event_id":"sha256:7c1fb56278113c84f991845f683da0b951a50a035c7af38fe1e19f910846d3eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ND2KVPQL3KZJEYNWKGCXJUUC6Z/bundle.json","state_url":"https://pith.science/pith/ND2KVPQL3KZJEYNWKGCXJUUC6Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ND2KVPQL3KZJEYNWKGCXJUUC6Z/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":"2026-08-02T18:10:36Z","links":{"resolver":"https://pith.science/pith/ND2KVPQL3KZJEYNWKGCXJUUC6Z","bundle":"https://pith.science/pith/ND2KVPQL3KZJEYNWKGCXJUUC6Z/bundle.json","state":"https://pith.science/pith/ND2KVPQL3KZJEYNWKGCXJUUC6Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ND2KVPQL3KZJEYNWKGCXJUUC6Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:ND2KVPQL3KZJEYNWKGCXJUUC6Z","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":"0b5c8c7979d86561ea0853de6fe0e822b929210eecabbc307cf55129a925fb5b","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2004-04-28T04:37:02Z","title_canon_sha256":"dd8d6ef48c97716d95d0ed687148566f2335598234ae0637a49472c716e336b5"},"schema_version":"1.0","source":{"id":"hep-th/0404220","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0404220","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0404220v2","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0404220","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"pith_short_12","alias_value":"ND2KVPQL3KZJ","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"pith_short_16","alias_value":"ND2KVPQL3KZJEYNW","created_at":"2026-07-04T16:48:47Z"},{"alias_kind":"pith_short_8","alias_value":"ND2KVPQL","created_at":"2026-07-04T16:48:47Z"}],"graph_snapshots":[{"event_id":"sha256:7c1fb56278113c84f991845f683da0b951a50a035c7af38fe1e19f910846d3eb","target":"graph","created_at":"2026-07-04T16:48:47Z","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/hep-th/0404220/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Positive vacuum energy together with extra dimensions of space imply that our four-dimensional Universe is unstable, generically to decompactification of the extra dimensions. Either quantum tunneling or thermal fluctuations carry one past a barrier into the decompactifying regime. We give an overview of this process, and examine the subsequent expansion into the higher- dimensional geometry. This is governed by certain fixed-point solutions of the evolution equations, which are studied for both positive and negative spatial curvature. In the case where there is a higher-dimensional cosmologic","authors_text":"Robert C. Myers, Steven B. Giddings","cross_cats":["astro-ph","gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2004-04-28T04:37:02Z","title":"Spontaneous decompactification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0404220","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:be351aea65490218f4e2a61a84d3fba7550510d087d3cb091d448058a17554c4","target":"record","created_at":"2026-07-04T16:48:47Z","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":"0b5c8c7979d86561ea0853de6fe0e822b929210eecabbc307cf55129a925fb5b","cross_cats_sorted":["astro-ph","gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2004-04-28T04:37:02Z","title_canon_sha256":"dd8d6ef48c97716d95d0ed687148566f2335598234ae0637a49472c716e336b5"},"schema_version":"1.0","source":{"id":"hep-th/0404220","kind":"arxiv","version":2}},"canonical_sha256":"68f4aabe0bdab29261b6518574d282f64540f3e6e4d304737e874dd0c1cecc66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68f4aabe0bdab29261b6518574d282f64540f3e6e4d304737e874dd0c1cecc66","first_computed_at":"2026-07-04T16:48:47.014758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:48:47.014758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eN4m1Dvqkl+elPahQu6KwpX/AJI9DR2leY0Txx4JdzVvVzqU0m/s7WR8QQpzVMhothEY+9zRKiwe5KVCl7sGAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:48:47.015118Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0404220","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:be351aea65490218f4e2a61a84d3fba7550510d087d3cb091d448058a17554c4","sha256:7c1fb56278113c84f991845f683da0b951a50a035c7af38fe1e19f910846d3eb"],"state_sha256":"65f6b0b76ab89d58639aed396b949274dd0253b71c3a26c0952b18aaa1e83687"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"88DD/byta56fLuNnocuRTRSwDfmH7XfNFr8rr+wWAI51TbgnjZNAdDp7YqaIsukIYmBgnq8gf/6WeUCmNxmWBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T18:10:36.272202Z","bundle_sha256":"c950ad8c3dca934a88dd75a68b296d79b2c4d7221ee69ac649ee237f9e8b0f68"}}