{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:V3LPDABUXYVLJNOWGOV3OXIVQA","short_pith_number":"pith:V3LPDABU","canonical_record":{"source":{"id":"1110.1037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-05T16:37:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0d55ec88e09c4b4dea8717805354ce250db09f2a6c88c95c0d135375395f5534","abstract_canon_sha256":"581f7973b571c675d5eb75d42af4782438050ecb666b30c9232a6d4bbc351224"},"schema_version":"1.0"},"canonical_sha256":"aed6f18034be2ab4b5d633abb75d15801dde552e962fe42927f41673d3381b1a","source":{"kind":"arxiv","id":"1110.1037","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1037","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1037v1","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1037","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"pith_short_12","alias_value":"V3LPDABUXYVL","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V3LPDABUXYVLJNOW","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V3LPDABU","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:V3LPDABUXYVLJNOWGOV3OXIVQA","target":"record","payload":{"canonical_record":{"source":{"id":"1110.1037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-05T16:37:21Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"0d55ec88e09c4b4dea8717805354ce250db09f2a6c88c95c0d135375395f5534","abstract_canon_sha256":"581f7973b571c675d5eb75d42af4782438050ecb666b30c9232a6d4bbc351224"},"schema_version":"1.0"},"canonical_sha256":"aed6f18034be2ab4b5d633abb75d15801dde552e962fe42927f41673d3381b1a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:39.967223Z","signature_b64":"Rvj1hOCIR3YLL1DCog8+J4x2UIl9kXVofKGctTXpD7LCAY0Tn+2IqKcqCTllHQ7YKD/L9hxWkFO7Y39L/DWZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aed6f18034be2ab4b5d633abb75d15801dde552e962fe42927f41673d3381b1a","last_reissued_at":"2026-05-18T04:11:39.966740Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:39.966740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.1037","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":"2026-05-18T04:11:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5XPVHFw6LSZFFynOpfAkn1BRjHettiPEEDFzlnYbf9qKSqpcoN2PmZ0LVlLHe9AxtIKV/MybdJ9x+6M0hq/ODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:15:07.469078Z"},"content_sha256":"142be9a243fc359cc66297f905855a81b01d6141b981ad8958a282fdc087b915","schema_version":"1.0","event_id":"sha256:142be9a243fc359cc66297f905855a81b01d6141b981ad8958a282fdc087b915"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:V3LPDABUXYVLJNOWGOV3OXIVQA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic flexibility of globally hyperbolic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Olaf M\\\"uller","submitted_at":"2011-10-05T16:37:21Z","abstract_excerpt":"In this short note, a question of patching together globally hyperbolic manifolds is adressed which appeared in the context of the construction of Hadamard states."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1037","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":"2026-05-18T04:11:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oEdC2wZJBpFxiu9KX9ie5anzIyRY5PoWV2cfXPHDrenbKtwvoLp7GmMT1DgzRSm6CX20BmlKo5nx6aQ4G8MXCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T19:15:07.469476Z"},"content_sha256":"019c12501744a94f0308a41b625c3b866ab4137fdaf541bbe7d6dea767d6ca5d","schema_version":"1.0","event_id":"sha256:019c12501744a94f0308a41b625c3b866ab4137fdaf541bbe7d6dea767d6ca5d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V3LPDABUXYVLJNOWGOV3OXIVQA/bundle.json","state_url":"https://pith.science/pith/V3LPDABUXYVLJNOWGOV3OXIVQA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V3LPDABUXYVLJNOWGOV3OXIVQA/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":"2026-06-24T19:15:07Z","links":{"resolver":"https://pith.science/pith/V3LPDABUXYVLJNOWGOV3OXIVQA","bundle":"https://pith.science/pith/V3LPDABUXYVLJNOWGOV3OXIVQA/bundle.json","state":"https://pith.science/pith/V3LPDABUXYVLJNOWGOV3OXIVQA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V3LPDABUXYVLJNOWGOV3OXIVQA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:V3LPDABUXYVLJNOWGOV3OXIVQA","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":"581f7973b571c675d5eb75d42af4782438050ecb666b30c9232a6d4bbc351224","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-05T16:37:21Z","title_canon_sha256":"0d55ec88e09c4b4dea8717805354ce250db09f2a6c88c95c0d135375395f5534"},"schema_version":"1.0","source":{"id":"1110.1037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.1037","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"arxiv_version","alias_value":"1110.1037v1","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.1037","created_at":"2026-05-18T04:11:39Z"},{"alias_kind":"pith_short_12","alias_value":"V3LPDABUXYVL","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"V3LPDABUXYVLJNOW","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"V3LPDABU","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:019c12501744a94f0308a41b625c3b866ab4137fdaf541bbe7d6dea767d6ca5d","target":"graph","created_at":"2026-05-18T04:11:39Z","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":"In this short note, a question of patching together globally hyperbolic manifolds is adressed which appeared in the context of the construction of Hadamard states.","authors_text":"Olaf M\\\"uller","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-05T16:37:21Z","title":"Asymptotic flexibility of globally hyperbolic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.1037","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":"sha256:142be9a243fc359cc66297f905855a81b01d6141b981ad8958a282fdc087b915","target":"record","created_at":"2026-05-18T04:11:39Z","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":"581f7973b571c675d5eb75d42af4782438050ecb666b30c9232a6d4bbc351224","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-05T16:37:21Z","title_canon_sha256":"0d55ec88e09c4b4dea8717805354ce250db09f2a6c88c95c0d135375395f5534"},"schema_version":"1.0","source":{"id":"1110.1037","kind":"arxiv","version":1}},"canonical_sha256":"aed6f18034be2ab4b5d633abb75d15801dde552e962fe42927f41673d3381b1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aed6f18034be2ab4b5d633abb75d15801dde552e962fe42927f41673d3381b1a","first_computed_at":"2026-05-18T04:11:39.966740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:39.966740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Rvj1hOCIR3YLL1DCog8+J4x2UIl9kXVofKGctTXpD7LCAY0Tn+2IqKcqCTllHQ7YKD/L9hxWkFO7Y39L/DWZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:39.967223Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.1037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:142be9a243fc359cc66297f905855a81b01d6141b981ad8958a282fdc087b915","sha256:019c12501744a94f0308a41b625c3b866ab4137fdaf541bbe7d6dea767d6ca5d"],"state_sha256":"649720951d1374e671fa43a7a65217d147edaf013bc9d6b8a0db99d0e6d8a660"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DHpWkWBg7YspyUIcHUqMhaHtV7ZsMU+3eNnfNF8vjUh/lh/vFg3RuBZrI5oDgoDA6tXwY3rC7tc+oETPAaGFDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T19:15:07.471379Z","bundle_sha256":"7f9f601c079766b7f22bb74d28629e07e6446110a5ebb65da5612ccb0f01ccdf"}}