{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YNW23SGOFM3B6GEDU24HFLXRNK","short_pith_number":"pith:YNW23SGO","canonical_record":{"source":{"id":"1607.05616","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-19T14:54:47Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f60d057b24052d0012b96b0bd814cf05453f06e7eb2dcfef3eac95554c8b49d3","abstract_canon_sha256":"8904de8b72d90b5033bfa2b46d9f7020fe673953da61698727067af31bee344b"},"schema_version":"1.0"},"canonical_sha256":"c36dadc8ce2b361f1883a6b872aef16a9d4f51861f065444583b20a8b33e4fb6","source":{"kind":"arxiv","id":"1607.05616","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05616","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05616v2","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05616","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"pith_short_12","alias_value":"YNW23SGOFM3B","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YNW23SGOFM3B6GED","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YNW23SGO","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YNW23SGOFM3B6GEDU24HFLXRNK","target":"record","payload":{"canonical_record":{"source":{"id":"1607.05616","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-19T14:54:47Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"f60d057b24052d0012b96b0bd814cf05453f06e7eb2dcfef3eac95554c8b49d3","abstract_canon_sha256":"8904de8b72d90b5033bfa2b46d9f7020fe673953da61698727067af31bee344b"},"schema_version":"1.0"},"canonical_sha256":"c36dadc8ce2b361f1883a6b872aef16a9d4f51861f065444583b20a8b33e4fb6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:00.088045Z","signature_b64":"z/0/Q9Y2frSf9WZ4zZNuNMKDYNLXIpXkfanVxUxQPbNVp3DoGOZfIWRcRFOpEH7zhagoLHdgIZ5HWj4ZbpFHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c36dadc8ce2b361f1883a6b872aef16a9d4f51861f065444583b20a8b33e4fb6","last_reissued_at":"2026-05-18T00:55:00.087503Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:00.087503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.05616","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":"2026-05-18T00:55:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ylNqsBZ2YbpYg4r9cVOu0MzgNfK9bce7gS4vih38SpVwahDPrxpUX6+DIvg577jlD0zQ6dMAyzuRt+wF2uUnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:19:56.452930Z"},"content_sha256":"10aedbe474a780bf7a93d6569954527b1b383caf99e970ef36b89608b50ffc79","schema_version":"1.0","event_id":"sha256:10aedbe474a780bf7a93d6569954527b1b383caf99e970ef36b89608b50ffc79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YNW23SGOFM3B6GEDU24HFLXRNK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hilbert manifold structure for asymptotically hyperbolic relativistic initial data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"math.DG","authors_text":"Erwann Delay (LMA), IMAG), J\\'er\\'emie Fougeirol (LMA","submitted_at":"2016-07-19T14:54:47Z","abstract_excerpt":"We provide a Hilbert manifold structure {\\`a} la Bartnik for the space of asymptotically hyperbolic initial data for the vacuum constraint equations. The adaptation led us to prove new weighted Poincar{\\'e} and Korn type inequalities for AH manifolds with inner boundary and weakly regular metric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05616","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":""},"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":"2026-05-18T00:55:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VCpzV5Y22ipxnx9PE1kEpaRmKxUmy5/ofA6NPML73E0mny4YSpNECIrHk+l3vk0rZ3ZXnAhx2jdhDJPNOFD9BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:19:56.453537Z"},"content_sha256":"94ff1d292cc9b9752b8e117c5ba0d992a0564ad3a0cee4941fcc7e393b7712f0","schema_version":"1.0","event_id":"sha256:94ff1d292cc9b9752b8e117c5ba0d992a0564ad3a0cee4941fcc7e393b7712f0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YNW23SGOFM3B6GEDU24HFLXRNK/bundle.json","state_url":"https://pith.science/pith/YNW23SGOFM3B6GEDU24HFLXRNK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YNW23SGOFM3B6GEDU24HFLXRNK/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":"2026-06-05T13:19:56Z","links":{"resolver":"https://pith.science/pith/YNW23SGOFM3B6GEDU24HFLXRNK","bundle":"https://pith.science/pith/YNW23SGOFM3B6GEDU24HFLXRNK/bundle.json","state":"https://pith.science/pith/YNW23SGOFM3B6GEDU24HFLXRNK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YNW23SGOFM3B6GEDU24HFLXRNK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YNW23SGOFM3B6GEDU24HFLXRNK","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":"8904de8b72d90b5033bfa2b46d9f7020fe673953da61698727067af31bee344b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-19T14:54:47Z","title_canon_sha256":"f60d057b24052d0012b96b0bd814cf05453f06e7eb2dcfef3eac95554c8b49d3"},"schema_version":"1.0","source":{"id":"1607.05616","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.05616","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"arxiv_version","alias_value":"1607.05616v2","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05616","created_at":"2026-05-18T00:55:00Z"},{"alias_kind":"pith_short_12","alias_value":"YNW23SGOFM3B","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YNW23SGOFM3B6GED","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YNW23SGO","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:94ff1d292cc9b9752b8e117c5ba0d992a0564ad3a0cee4941fcc7e393b7712f0","target":"graph","created_at":"2026-05-18T00:55:00Z","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":"We provide a Hilbert manifold structure {\\`a} la Bartnik for the space of asymptotically hyperbolic initial data for the vacuum constraint equations. The adaptation led us to prove new weighted Poincar{\\'e} and Korn type inequalities for AH manifolds with inner boundary and weakly regular metric.","authors_text":"Erwann Delay (LMA), IMAG), J\\'er\\'emie Fougeirol (LMA","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-19T14:54:47Z","title":"Hilbert manifold structure for asymptotically hyperbolic relativistic initial data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05616","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":"sha256:10aedbe474a780bf7a93d6569954527b1b383caf99e970ef36b89608b50ffc79","target":"record","created_at":"2026-05-18T00:55:00Z","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":"8904de8b72d90b5033bfa2b46d9f7020fe673953da61698727067af31bee344b","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-07-19T14:54:47Z","title_canon_sha256":"f60d057b24052d0012b96b0bd814cf05453f06e7eb2dcfef3eac95554c8b49d3"},"schema_version":"1.0","source":{"id":"1607.05616","kind":"arxiv","version":2}},"canonical_sha256":"c36dadc8ce2b361f1883a6b872aef16a9d4f51861f065444583b20a8b33e4fb6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c36dadc8ce2b361f1883a6b872aef16a9d4f51861f065444583b20a8b33e4fb6","first_computed_at":"2026-05-18T00:55:00.087503Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:55:00.087503Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z/0/Q9Y2frSf9WZ4zZNuNMKDYNLXIpXkfanVxUxQPbNVp3DoGOZfIWRcRFOpEH7zhagoLHdgIZ5HWj4ZbpFHCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:55:00.088045Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.05616","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:10aedbe474a780bf7a93d6569954527b1b383caf99e970ef36b89608b50ffc79","sha256:94ff1d292cc9b9752b8e117c5ba0d992a0564ad3a0cee4941fcc7e393b7712f0"],"state_sha256":"6667a425d48af045bc220996c10c912296a0429d74eb9b12e9dd6d56e455b92e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hlafB1kvUabZMripkiJN+AEi5xUvMq5+MzvLYea44eo1tZgvNweMuOgoOBeeFMaQjrY8ftc9UHVtgGx9R/jPBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T13:19:56.456421Z","bundle_sha256":"75ea8e3b358daaf4a8e46e20e63039a0783b1e1226145f430ee6974c4940bc34"}}