{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:TWICXUCZTGFZ7I7V2AESJJ4FNF","short_pith_number":"pith:TWICXUCZ","canonical_record":{"source":{"id":"hep-th/0202161","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-02-25T14:20:57Z","cross_cats_sorted":["gr-qc","math.DG"],"title_canon_sha256":"d1fd66a4ca7eb7954a210235dc0433442658f0888d7c1ec6751a5b802899c6e9","abstract_canon_sha256":"fb67c24de81651db4433b53c7e32439232ecf315a7c27cd000cbcc438130b58f"},"schema_version":"1.0"},"canonical_sha256":"9d902bd059998b9fa3f5d00924a785695829294a05a796a4c72fb60c2dd485d5","source":{"kind":"arxiv","id":"hep-th/0202161","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0202161","created_at":"2026-05-18T02:36:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0202161v4","created_at":"2026-05-18T02:36:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0202161","created_at":"2026-05-18T02:36:11Z"},{"alias_kind":"pith_short_12","alias_value":"TWICXUCZTGFZ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"TWICXUCZTGFZ7I7V","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"TWICXUCZ","created_at":"2026-05-18T12:25:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:TWICXUCZTGFZ7I7V2AESJJ4FNF","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0202161","kind":"arxiv","version":4},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2002-02-25T14:20:57Z","cross_cats_sorted":["gr-qc","math.DG"],"title_canon_sha256":"d1fd66a4ca7eb7954a210235dc0433442658f0888d7c1ec6751a5b802899c6e9","abstract_canon_sha256":"fb67c24de81651db4433b53c7e32439232ecf315a7c27cd000cbcc438130b58f"},"schema_version":"1.0"},"canonical_sha256":"9d902bd059998b9fa3f5d00924a785695829294a05a796a4c72fb60c2dd485d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:36:11.125384Z","signature_b64":"7fFADKYDB1oW1duInPLwSUlf3MNYFPlTAf1qlgXGSBB4vsqFZWqXPMUxMRLQN+78RdDjZNdGZEteK1U/oaCMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d902bd059998b9fa3f5d00924a785695829294a05a796a4c72fb60c2dd485d5","last_reissued_at":"2026-05-18T02:36:11.124944Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:36:11.124944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0202161","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:36:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RXCEZt8Q1YAI5N1/FSSGQ1vDfUPHafqnVxETH/xvvmPsNIW+CIE5SJmETv9wGWg2J8Ss5zBTIlcmaV31JwjmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:15:09.246815Z"},"content_sha256":"49f1de94836717725290b4f3ff6bb74c77ef21eae64ac99cd38778ae87c5aa2b","schema_version":"1.0","event_id":"sha256:49f1de94836717725290b4f3ff6bb74c77ef21eae64ac99cd38778ae87c5aa2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:TWICXUCZTGFZ7I7V2AESJJ4FNF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"dS/CFT and spacetime topology","license":"","headline":"","cross_cats":["gr-qc","math.DG"],"primary_cat":"hep-th","authors_text":"Gregory J. Galloway, Lars Andersson","submitted_at":"2002-02-25T14:20:57Z","abstract_excerpt":"Motivated by recent proposals for a de Sitter version of the AdS/CFT correspondence, we give some topological restrictions on spacetimes of de Sitter type, i.e., spacetimes with $\\Lambda>0$, which admit a regular past and/or future conformal boundary. For example we show that if $M^{n+1}$, $n \\ge 2$, is a globally hyperbolic spacetime obeying suitable energy conditions, which is of de Sitter type, with a conformal boundary to both the past and future, then if one of these boundaries is compact, it must have finite fundamental group and its conformal class must contain a metric of positive scal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0202161","kind":"arxiv","version":4},"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":"2026-05-18T02:36:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ewokR4Sxh4H8DVMqp6Lu37EmffPGcggBy3DOSnxOTWiO1r5x3iJ1WniPUEn9tYRlkIan48F8Cj+IpYhZn98fAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:15:09.247294Z"},"content_sha256":"17e0147d9315ede8a2635d16f197fd5d0c707fe3c71243ef1cefd21ecc8d97a1","schema_version":"1.0","event_id":"sha256:17e0147d9315ede8a2635d16f197fd5d0c707fe3c71243ef1cefd21ecc8d97a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TWICXUCZTGFZ7I7V2AESJJ4FNF/bundle.json","state_url":"https://pith.science/pith/TWICXUCZTGFZ7I7V2AESJJ4FNF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TWICXUCZTGFZ7I7V2AESJJ4FNF/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":"2026-05-28T00:15:09Z","links":{"resolver":"https://pith.science/pith/TWICXUCZTGFZ7I7V2AESJJ4FNF","bundle":"https://pith.science/pith/TWICXUCZTGFZ7I7V2AESJJ4FNF/bundle.json","state":"https://pith.science/pith/TWICXUCZTGFZ7I7V2AESJJ4FNF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TWICXUCZTGFZ7I7V2AESJJ4FNF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:TWICXUCZTGFZ7I7V2AESJJ4FNF","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":"fb67c24de81651db4433b53c7e32439232ecf315a7c27cd000cbcc438130b58f","cross_cats_sorted":["gr-qc","math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2002-02-25T14:20:57Z","title_canon_sha256":"d1fd66a4ca7eb7954a210235dc0433442658f0888d7c1ec6751a5b802899c6e9"},"schema_version":"1.0","source":{"id":"hep-th/0202161","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0202161","created_at":"2026-05-18T02:36:11Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0202161v4","created_at":"2026-05-18T02:36:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0202161","created_at":"2026-05-18T02:36:11Z"},{"alias_kind":"pith_short_12","alias_value":"TWICXUCZTGFZ","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"TWICXUCZTGFZ7I7V","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"TWICXUCZ","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:17e0147d9315ede8a2635d16f197fd5d0c707fe3c71243ef1cefd21ecc8d97a1","target":"graph","created_at":"2026-05-18T02:36:11Z","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":"Motivated by recent proposals for a de Sitter version of the AdS/CFT correspondence, we give some topological restrictions on spacetimes of de Sitter type, i.e., spacetimes with $\\Lambda>0$, which admit a regular past and/or future conformal boundary. For example we show that if $M^{n+1}$, $n \\ge 2$, is a globally hyperbolic spacetime obeying suitable energy conditions, which is of de Sitter type, with a conformal boundary to both the past and future, then if one of these boundaries is compact, it must have finite fundamental group and its conformal class must contain a metric of positive scal","authors_text":"Gregory J. Galloway, Lars Andersson","cross_cats":["gr-qc","math.DG"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2002-02-25T14:20:57Z","title":"dS/CFT and spacetime topology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0202161","kind":"arxiv","version":4},"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":"sha256:49f1de94836717725290b4f3ff6bb74c77ef21eae64ac99cd38778ae87c5aa2b","target":"record","created_at":"2026-05-18T02:36:11Z","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":"fb67c24de81651db4433b53c7e32439232ecf315a7c27cd000cbcc438130b58f","cross_cats_sorted":["gr-qc","math.DG"],"license":"","primary_cat":"hep-th","submitted_at":"2002-02-25T14:20:57Z","title_canon_sha256":"d1fd66a4ca7eb7954a210235dc0433442658f0888d7c1ec6751a5b802899c6e9"},"schema_version":"1.0","source":{"id":"hep-th/0202161","kind":"arxiv","version":4}},"canonical_sha256":"9d902bd059998b9fa3f5d00924a785695829294a05a796a4c72fb60c2dd485d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d902bd059998b9fa3f5d00924a785695829294a05a796a4c72fb60c2dd485d5","first_computed_at":"2026-05-18T02:36:11.124944Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:36:11.124944Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7fFADKYDB1oW1duInPLwSUlf3MNYFPlTAf1qlgXGSBB4vsqFZWqXPMUxMRLQN+78RdDjZNdGZEteK1U/oaCMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:36:11.125384Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0202161","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:49f1de94836717725290b4f3ff6bb74c77ef21eae64ac99cd38778ae87c5aa2b","sha256:17e0147d9315ede8a2635d16f197fd5d0c707fe3c71243ef1cefd21ecc8d97a1"],"state_sha256":"d95f769d55417ed8c893a9ed3a1870500d1b33b55b84467763e93efad05f2ff8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XYw/aBkSghny+bWTjdNbSg4NCmwOu+rXWFTSR2KGG9RotoYUScSRNDxoy1B6OCV86I36qyhyWXyW9St73U6YBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:15:09.250216Z","bundle_sha256":"eab8d42e2e37b8355c207cfa107af886b910a98f5866fd53387f891a4dcc810e"}}