{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:UQD2UFJTSRZTLPWJRQJ5CMUFSL","short_pith_number":"pith:UQD2UFJT","canonical_record":{"source":{"id":"1307.4657","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-07-17T14:45:02Z","cross_cats_sorted":[],"title_canon_sha256":"ede4633f91a0b2074f71b24303c52afce5fb1f7fe7009da1fa0d8cfa0dcd32ce","abstract_canon_sha256":"611a75d4cbb573a7461ea71e1fd99d37aa02255fc9fe6ac06e6c87065730351d"},"schema_version":"1.0"},"canonical_sha256":"a407aa1533947335bec98c13d1328592c0d4246fe4cc829a09ad468b86db969b","source":{"kind":"arxiv","id":"1307.4657","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4657","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4657v1","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4657","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"pith_short_12","alias_value":"UQD2UFJTSRZT","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UQD2UFJTSRZTLPWJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UQD2UFJT","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:UQD2UFJTSRZTLPWJRQJ5CMUFSL","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4657","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-07-17T14:45:02Z","cross_cats_sorted":[],"title_canon_sha256":"ede4633f91a0b2074f71b24303c52afce5fb1f7fe7009da1fa0d8cfa0dcd32ce","abstract_canon_sha256":"611a75d4cbb573a7461ea71e1fd99d37aa02255fc9fe6ac06e6c87065730351d"},"schema_version":"1.0"},"canonical_sha256":"a407aa1533947335bec98c13d1328592c0d4246fe4cc829a09ad468b86db969b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:17.403011Z","signature_b64":"04N3Np1LdmaPa/JtRwJn1dabE0HtqwszQ/KUzOm2ABLDps2rnaeR/HY5PlITljHKhqs9n38ljtsETMqA1leRAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a407aa1533947335bec98c13d1328592c0d4246fe4cc829a09ad468b86db969b","last_reissued_at":"2026-05-18T03:18:17.402487Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:17.402487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4657","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":"2026-05-18T03:18:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQRAFL7r/7bPysUx+ccMUhV36pEKCRixRJeZESoiU4cufRyRjGHHFJhkwS3PoO2sO2RL0tnTmVRK7qF0C3bhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:00:25.010815Z"},"content_sha256":"1f4ef5b77cc1939f40d87712125717ff023a5b3489965ba2a5a53da4d1a3310d","schema_version":"1.0","event_id":"sha256:1f4ef5b77cc1939f40d87712125717ff023a5b3489965ba2a5a53da4d1a3310d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:UQD2UFJTSRZTLPWJRQJ5CMUFSL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constant Mean Curvature Slices of the Reissner-Nordstr\\\"{o}m Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Niall \\'O Murchadha, Patrick Tuite","submitted_at":"2013-07-17T14:45:02Z","abstract_excerpt":"In order to specify a foliation of spacetime by spacelike hypersurfaces we need to place some restriction on the initial data and from this derive a way to calculate the lapse function $\\alpha$ which measures the proper time and interval between neighbouring hypersurfaces along the normal direction. Here we study a prescribed slicing known as the Constant Mean Curvature (CMC) slicing. This slicing will be applied to the Reissner-Nordstr\\\"{o}m metric and the resultant slices will be investigated and then compared to those of the extended Schwarzschild solution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4657","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":"2026-05-18T03:18:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4J1knlZ+RpROXz8Xmvb79UkaDHOoiuFWgEPU+VoPRAj/4P6HIPVk3K4PEuK7Cu84lYem/WtonFwCGqgcXA7PAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T10:00:25.011154Z"},"content_sha256":"4aec782a9127e080f1bf0d30fe1d0e53552ca11e0819fed380fb382233742f7f","schema_version":"1.0","event_id":"sha256:4aec782a9127e080f1bf0d30fe1d0e53552ca11e0819fed380fb382233742f7f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UQD2UFJTSRZTLPWJRQJ5CMUFSL/bundle.json","state_url":"https://pith.science/pith/UQD2UFJTSRZTLPWJRQJ5CMUFSL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UQD2UFJTSRZTLPWJRQJ5CMUFSL/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":"2026-07-04T10:00:25Z","links":{"resolver":"https://pith.science/pith/UQD2UFJTSRZTLPWJRQJ5CMUFSL","bundle":"https://pith.science/pith/UQD2UFJTSRZTLPWJRQJ5CMUFSL/bundle.json","state":"https://pith.science/pith/UQD2UFJTSRZTLPWJRQJ5CMUFSL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UQD2UFJTSRZTLPWJRQJ5CMUFSL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:UQD2UFJTSRZTLPWJRQJ5CMUFSL","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":"611a75d4cbb573a7461ea71e1fd99d37aa02255fc9fe6ac06e6c87065730351d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-07-17T14:45:02Z","title_canon_sha256":"ede4633f91a0b2074f71b24303c52afce5fb1f7fe7009da1fa0d8cfa0dcd32ce"},"schema_version":"1.0","source":{"id":"1307.4657","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4657","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4657v1","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4657","created_at":"2026-05-18T03:18:17Z"},{"alias_kind":"pith_short_12","alias_value":"UQD2UFJTSRZT","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"UQD2UFJTSRZTLPWJ","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"UQD2UFJT","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:4aec782a9127e080f1bf0d30fe1d0e53552ca11e0819fed380fb382233742f7f","target":"graph","created_at":"2026-05-18T03:18:17Z","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 order to specify a foliation of spacetime by spacelike hypersurfaces we need to place some restriction on the initial data and from this derive a way to calculate the lapse function $\\alpha$ which measures the proper time and interval between neighbouring hypersurfaces along the normal direction. Here we study a prescribed slicing known as the Constant Mean Curvature (CMC) slicing. This slicing will be applied to the Reissner-Nordstr\\\"{o}m metric and the resultant slices will be investigated and then compared to those of the extended Schwarzschild solution.","authors_text":"Niall \\'O Murchadha, Patrick Tuite","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-07-17T14:45:02Z","title":"Constant Mean Curvature Slices of the Reissner-Nordstr\\\"{o}m Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4657","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":"sha256:1f4ef5b77cc1939f40d87712125717ff023a5b3489965ba2a5a53da4d1a3310d","target":"record","created_at":"2026-05-18T03:18:17Z","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":"611a75d4cbb573a7461ea71e1fd99d37aa02255fc9fe6ac06e6c87065730351d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-07-17T14:45:02Z","title_canon_sha256":"ede4633f91a0b2074f71b24303c52afce5fb1f7fe7009da1fa0d8cfa0dcd32ce"},"schema_version":"1.0","source":{"id":"1307.4657","kind":"arxiv","version":1}},"canonical_sha256":"a407aa1533947335bec98c13d1328592c0d4246fe4cc829a09ad468b86db969b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a407aa1533947335bec98c13d1328592c0d4246fe4cc829a09ad468b86db969b","first_computed_at":"2026-05-18T03:18:17.402487Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:18:17.402487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"04N3Np1LdmaPa/JtRwJn1dabE0HtqwszQ/KUzOm2ABLDps2rnaeR/HY5PlITljHKhqs9n38ljtsETMqA1leRAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:18:17.403011Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4657","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f4ef5b77cc1939f40d87712125717ff023a5b3489965ba2a5a53da4d1a3310d","sha256:4aec782a9127e080f1bf0d30fe1d0e53552ca11e0819fed380fb382233742f7f"],"state_sha256":"c24bad8118fecbfa5a52a9f7cc3a1aa4f785ff0ab0876bd6328e88fe3e71bafa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rEPL0c04f2GiRNLlAN8XmVlowdS0QhYPNKEmdllbgnNhSQR01dWR3hYV7tsluzKaWjKv0J4kW/2nvFp/5OfrBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T10:00:25.012992Z","bundle_sha256":"43e5de281aa193eaea0050bef6ff4dba02fc311ce3ed194af78b53ed0a759809"}}