{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PE3573YROUOKEXC4JXDDS45M5E","short_pith_number":"pith:PE3573YR","canonical_record":{"source":{"id":"1509.08765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-09-29T14:21:29Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"aacb641a4e4a269a3b530174cc840fb523206a51f9634ff5658c647eefbf26bb","abstract_canon_sha256":"f47d702e8aae67029a7010182af494ff0f5bc5e59b331578ff114e0d5231d173"},"schema_version":"1.0"},"canonical_sha256":"7937dfef11751ca25c5c4dc63973ace910d267b0c2207797d88573195b3fcdb4","source":{"kind":"arxiv","id":"1509.08765","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08765","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08765v1","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08765","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"pith_short_12","alias_value":"PE3573YROUOK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PE3573YROUOKEXC4","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PE3573YR","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PE3573YROUOKEXC4JXDDS45M5E","target":"record","payload":{"canonical_record":{"source":{"id":"1509.08765","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-09-29T14:21:29Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"aacb641a4e4a269a3b530174cc840fb523206a51f9634ff5658c647eefbf26bb","abstract_canon_sha256":"f47d702e8aae67029a7010182af494ff0f5bc5e59b331578ff114e0d5231d173"},"schema_version":"1.0"},"canonical_sha256":"7937dfef11751ca25c5c4dc63973ace910d267b0c2207797d88573195b3fcdb4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:47.174117Z","signature_b64":"0NeNhX7i3HHsq88xXdYS+66T/XBFdiQ/P3Y3n9a1+1RIdJ44vKxkmmryNCrnxtxFuz9LPiEBi3f3XNFlm+kSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7937dfef11751ca25c5c4dc63973ace910d267b0c2207797d88573195b3fcdb4","last_reissued_at":"2026-05-18T01:31:47.173607Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:47.173607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.08765","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":"2026-05-18T01:31:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rXNpFNGstm+/KgXFlvYcrUdDYjFWz9rWFKoX/dQtDCReX3ctfL6A16HkYeJo6ueBRyhLkrhhv+CloRKwW+/+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:33:44.408364Z"},"content_sha256":"e31eb9656f4fa2f39b20450095f40919346865b7d2847727d32850c0ef279412","schema_version":"1.0","event_id":"sha256:e31eb9656f4fa2f39b20450095f40919346865b7d2847727d32850c0ef279412"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PE3573YROUOKEXC4JXDDS45M5E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Vari\\'et\\'es lorentziennes plates vues comme limites de vari\\'et\\'es anti-de Sitter, d'apr\\`es Danciger, Gu\\'eritaud et Kassel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DG","authors_text":"Jean-Marc Schlenker","submitted_at":"2015-09-29T14:21:29Z","abstract_excerpt":"A survey on the recent work of Danciger, Gu\\'eritaud and Kassel on Margulis space-times and complete anti-de Sitter space-times. Margulis space-times are quotients of the 3-dimensional Minkowski space by (non-abelian) free groups acting propertly discontinuously. Goldman, Labourie and Margulis have shown that they are determined by a convex co-compact hyperbolic surface $S$ along with a first-order deformation of the metric which uniformly decreases the lengths of closed geodesics. Danciger, Gu\\'eritaud and Kassel show that those space-times are principal $\\mathbb R$-bundles over $S$ with time"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08765","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":""},"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":"2026-05-18T01:31:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gU7p2henHuzJ/R6aJgihRhQzyeMssIjkEAnnq2/lO7mkyS6neFLK7KGxK71al/MA64fI1A3/8F4qYBnZOLB5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T18:33:44.408717Z"},"content_sha256":"e12c01fff7916c456044d4f7114998a603c21ec257812e8a2e0ab13601b90748","schema_version":"1.0","event_id":"sha256:e12c01fff7916c456044d4f7114998a603c21ec257812e8a2e0ab13601b90748"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PE3573YROUOKEXC4JXDDS45M5E/bundle.json","state_url":"https://pith.science/pith/PE3573YROUOKEXC4JXDDS45M5E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PE3573YROUOKEXC4JXDDS45M5E/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":"2026-06-06T18:33:44Z","links":{"resolver":"https://pith.science/pith/PE3573YROUOKEXC4JXDDS45M5E","bundle":"https://pith.science/pith/PE3573YROUOKEXC4JXDDS45M5E/bundle.json","state":"https://pith.science/pith/PE3573YROUOKEXC4JXDDS45M5E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PE3573YROUOKEXC4JXDDS45M5E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PE3573YROUOKEXC4JXDDS45M5E","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":"f47d702e8aae67029a7010182af494ff0f5bc5e59b331578ff114e0d5231d173","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-09-29T14:21:29Z","title_canon_sha256":"aacb641a4e4a269a3b530174cc840fb523206a51f9634ff5658c647eefbf26bb"},"schema_version":"1.0","source":{"id":"1509.08765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.08765","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"arxiv_version","alias_value":"1509.08765v1","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.08765","created_at":"2026-05-18T01:31:47Z"},{"alias_kind":"pith_short_12","alias_value":"PE3573YROUOK","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PE3573YROUOKEXC4","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PE3573YR","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:e12c01fff7916c456044d4f7114998a603c21ec257812e8a2e0ab13601b90748","target":"graph","created_at":"2026-05-18T01:31:47Z","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"},"paper":{"abstract_excerpt":"A survey on the recent work of Danciger, Gu\\'eritaud and Kassel on Margulis space-times and complete anti-de Sitter space-times. Margulis space-times are quotients of the 3-dimensional Minkowski space by (non-abelian) free groups acting propertly discontinuously. Goldman, Labourie and Margulis have shown that they are determined by a convex co-compact hyperbolic surface $S$ along with a first-order deformation of the metric which uniformly decreases the lengths of closed geodesics. Danciger, Gu\\'eritaud and Kassel show that those space-times are principal $\\mathbb R$-bundles over $S$ with time","authors_text":"Jean-Marc Schlenker","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-09-29T14:21:29Z","title":"Vari\\'et\\'es lorentziennes plates vues comme limites de vari\\'et\\'es anti-de Sitter, d'apr\\`es Danciger, Gu\\'eritaud et Kassel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.08765","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:e31eb9656f4fa2f39b20450095f40919346865b7d2847727d32850c0ef279412","target":"record","created_at":"2026-05-18T01:31:47Z","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":"f47d702e8aae67029a7010182af494ff0f5bc5e59b331578ff114e0d5231d173","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-09-29T14:21:29Z","title_canon_sha256":"aacb641a4e4a269a3b530174cc840fb523206a51f9634ff5658c647eefbf26bb"},"schema_version":"1.0","source":{"id":"1509.08765","kind":"arxiv","version":1}},"canonical_sha256":"7937dfef11751ca25c5c4dc63973ace910d267b0c2207797d88573195b3fcdb4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7937dfef11751ca25c5c4dc63973ace910d267b0c2207797d88573195b3fcdb4","first_computed_at":"2026-05-18T01:31:47.173607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:47.173607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0NeNhX7i3HHsq88xXdYS+66T/XBFdiQ/P3Y3n9a1+1RIdJ44vKxkmmryNCrnxtxFuz9LPiEBi3f3XNFlm+kSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:47.174117Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.08765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e31eb9656f4fa2f39b20450095f40919346865b7d2847727d32850c0ef279412","sha256:e12c01fff7916c456044d4f7114998a603c21ec257812e8a2e0ab13601b90748"],"state_sha256":"f15ccad55c5432219b53496f84eacf054e14f47a1d3ec69109fbe97ec7669901"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvKpejjNty+n97P4kA48MKg+9E0B69ikjC76AsSZjqHoJp6W49byipnz2u1J4BpaKPCWNXCeNbSqLIFY+aaOAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T18:33:44.410895Z","bundle_sha256":"9e58c973d76aa9c26ca50ee6c6090d74d30a0a441b2ebd1290ea249d3b73f012"}}