{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CIMTAYULK5P5KIC4MAX2YTDRUR","short_pith_number":"pith:CIMTAYUL","canonical_record":{"source":{"id":"1003.1014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-04T10:56:00Z","cross_cats_sorted":[],"title_canon_sha256":"a9d173157c43eed6c4bc8cd8e8cc79918e4dd22fd1628a2128dfb49a1b96718e","abstract_canon_sha256":"a1bb6a77e47736b7fba494c255d1062100ca86e21343cfd0b5abc3c7f089e248"},"schema_version":"1.0"},"canonical_sha256":"121930628b575fd5205c602fac4c71a4631ce761d23c4f9a1ca82808f5904353","source":{"kind":"arxiv","id":"1003.1014","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1014","created_at":"2026-05-18T02:08:46Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1014v1","created_at":"2026-05-18T02:08:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1014","created_at":"2026-05-18T02:08:46Z"},{"alias_kind":"pith_short_12","alias_value":"CIMTAYULK5P5","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CIMTAYULK5P5KIC4","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CIMTAYUL","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CIMTAYULK5P5KIC4MAX2YTDRUR","target":"record","payload":{"canonical_record":{"source":{"id":"1003.1014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-04T10:56:00Z","cross_cats_sorted":[],"title_canon_sha256":"a9d173157c43eed6c4bc8cd8e8cc79918e4dd22fd1628a2128dfb49a1b96718e","abstract_canon_sha256":"a1bb6a77e47736b7fba494c255d1062100ca86e21343cfd0b5abc3c7f089e248"},"schema_version":"1.0"},"canonical_sha256":"121930628b575fd5205c602fac4c71a4631ce761d23c4f9a1ca82808f5904353","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:08:46.465761Z","signature_b64":"jLb0GaFgr/DFMlgF1HGIvIAxklczqyLhMf+3neVWjazadXXyNUAwd+LeHpYlyotEzVZZpUpfTh6rzbOMToUfCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"121930628b575fd5205c602fac4c71a4631ce761d23c4f9a1ca82808f5904353","last_reissued_at":"2026-05-18T02:08:46.464860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:08:46.464860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1003.1014","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":"2026-05-18T02:08:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1pH+8gR42Yj1b+xf31xrKvHrEc6QKpGPCvFskNbZnp7DE8zgZJGZtwjAH7+iWzgkuyCucp7PZtA7gLUFYvJtBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:39:51.550414Z"},"content_sha256":"e7dc260edfdf097fefb56ce7567beb39ee8ad976428d0cdf7aac66728d19fe82","schema_version":"1.0","event_id":"sha256:e7dc260edfdf097fefb56ce7567beb39ee8ad976428d0cdf7aac66728d19fe82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CIMTAYULK5P5KIC4MAX2YTDRUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the local existence of maximal slicings in spherically symmetric spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Isabel Cordero-Carri\\'on, Jos\\'e Mar\\'ia Ib\\'a\\~nez, Juan Antonio Morales-Lladosa","submitted_at":"2010-03-04T10:56:00Z","abstract_excerpt":"In this talk we show that any spherically symmetric spacetime admits locally a maximal spacelike slicing. The above condition is reduced to solve a decoupled system of first order quasi-linear partial differential equations. The solution may be accomplished analytical or numerically. We provide a general procedure to construct such maximal slicings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1014","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":"2026-05-18T02:08:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MiDLIwYw3aIkawjCXsQsV9xlCZgMJ63ymuHs0W3CC9M+e7lVTenEJlcSFbAZ/I92g4oT9D06gBX3CfXK2l3CDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T19:39:51.550755Z"},"content_sha256":"653637e100ac40105061c6da95adda78d2840d58480b8173a2ba7020ce9087c0","schema_version":"1.0","event_id":"sha256:653637e100ac40105061c6da95adda78d2840d58480b8173a2ba7020ce9087c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CIMTAYULK5P5KIC4MAX2YTDRUR/bundle.json","state_url":"https://pith.science/pith/CIMTAYULK5P5KIC4MAX2YTDRUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CIMTAYULK5P5KIC4MAX2YTDRUR/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":"2026-06-01T19:39:51Z","links":{"resolver":"https://pith.science/pith/CIMTAYULK5P5KIC4MAX2YTDRUR","bundle":"https://pith.science/pith/CIMTAYULK5P5KIC4MAX2YTDRUR/bundle.json","state":"https://pith.science/pith/CIMTAYULK5P5KIC4MAX2YTDRUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CIMTAYULK5P5KIC4MAX2YTDRUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CIMTAYULK5P5KIC4MAX2YTDRUR","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":"a1bb6a77e47736b7fba494c255d1062100ca86e21343cfd0b5abc3c7f089e248","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-04T10:56:00Z","title_canon_sha256":"a9d173157c43eed6c4bc8cd8e8cc79918e4dd22fd1628a2128dfb49a1b96718e"},"schema_version":"1.0","source":{"id":"1003.1014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1014","created_at":"2026-05-18T02:08:46Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1014v1","created_at":"2026-05-18T02:08:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1014","created_at":"2026-05-18T02:08:46Z"},{"alias_kind":"pith_short_12","alias_value":"CIMTAYULK5P5","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CIMTAYULK5P5KIC4","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CIMTAYUL","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:653637e100ac40105061c6da95adda78d2840d58480b8173a2ba7020ce9087c0","target":"graph","created_at":"2026-05-18T02:08:46Z","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 talk we show that any spherically symmetric spacetime admits locally a maximal spacelike slicing. The above condition is reduced to solve a decoupled system of first order quasi-linear partial differential equations. The solution may be accomplished analytical or numerically. We provide a general procedure to construct such maximal slicings.","authors_text":"Isabel Cordero-Carri\\'on, Jos\\'e Mar\\'ia Ib\\'a\\~nez, Juan Antonio Morales-Lladosa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-04T10:56:00Z","title":"On the local existence of maximal slicings in spherically symmetric spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1014","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:e7dc260edfdf097fefb56ce7567beb39ee8ad976428d0cdf7aac66728d19fe82","target":"record","created_at":"2026-05-18T02:08:46Z","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":"a1bb6a77e47736b7fba494c255d1062100ca86e21343cfd0b5abc3c7f089e248","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-03-04T10:56:00Z","title_canon_sha256":"a9d173157c43eed6c4bc8cd8e8cc79918e4dd22fd1628a2128dfb49a1b96718e"},"schema_version":"1.0","source":{"id":"1003.1014","kind":"arxiv","version":1}},"canonical_sha256":"121930628b575fd5205c602fac4c71a4631ce761d23c4f9a1ca82808f5904353","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"121930628b575fd5205c602fac4c71a4631ce761d23c4f9a1ca82808f5904353","first_computed_at":"2026-05-18T02:08:46.464860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:08:46.464860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jLb0GaFgr/DFMlgF1HGIvIAxklczqyLhMf+3neVWjazadXXyNUAwd+LeHpYlyotEzVZZpUpfTh6rzbOMToUfCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:08:46.465761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7dc260edfdf097fefb56ce7567beb39ee8ad976428d0cdf7aac66728d19fe82","sha256:653637e100ac40105061c6da95adda78d2840d58480b8173a2ba7020ce9087c0"],"state_sha256":"554aa47f1d30a9a7682fd2ab5ac614fd2a2510b6b2c9ce1f54997d3c450b9da4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"USW3fl8KbQe+1LySVmbNnjknFyENM8ww7RLRend7zJpfeYZVI+b8A6Oih/EiGMOswzOEFfsSpO0PFxth7rWYBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T19:39:51.552668Z","bundle_sha256":"c5db54691d8d861b6700544dfa5b5efff8904ba09e4a5ed8f9c788ef00473502"}}