{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:D2UVP265DGIP4DRP6H2RA4ASWH","short_pith_number":"pith:D2UVP265","canonical_record":{"source":{"id":"2504.18973","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-04-26T17:06:17Z","cross_cats_sorted":[],"title_canon_sha256":"d7e187b04ef965c29382407362120c2fb637d29f1318fbceae706fd3cd3d9b24","abstract_canon_sha256":"581b478138aaf0c41c10f0f75fad6b45cc0b600eee8f4bf123cc0dddcfdb9f34"},"schema_version":"1.0"},"canonical_sha256":"1ea957ebdd1990fe0e2ff1f5107012b1ec03e331c637721fa333a7d0c1f4078f","source":{"kind":"arxiv","id":"2504.18973","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.18973","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"2504.18973v2","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18973","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"D2UVP265DGIP","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"pith_short_16","alias_value":"D2UVP265DGIP4DRP","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"pith_short_8","alias_value":"D2UVP265","created_at":"2026-07-05T11:35:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:D2UVP265DGIP4DRP6H2RA4ASWH","target":"record","payload":{"canonical_record":{"source":{"id":"2504.18973","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-04-26T17:06:17Z","cross_cats_sorted":[],"title_canon_sha256":"d7e187b04ef965c29382407362120c2fb637d29f1318fbceae706fd3cd3d9b24","abstract_canon_sha256":"581b478138aaf0c41c10f0f75fad6b45cc0b600eee8f4bf123cc0dddcfdb9f34"},"schema_version":"1.0"},"canonical_sha256":"1ea957ebdd1990fe0e2ff1f5107012b1ec03e331c637721fa333a7d0c1f4078f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:35:34.803431Z","signature_b64":"/3kl6xx7v4w+iCxpP09UwdrmIAcjhPcC4Kb1yaFLLB/ex04DlXFZQfAXpqFv3RZEzTLKX5TXMQxfRwwP6FuzCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ea957ebdd1990fe0e2ff1f5107012b1ec03e331c637721fa333a7d0c1f4078f","last_reissued_at":"2026-07-05T11:35:34.802838Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:35:34.802838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2504.18973","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":"2026-07-05T11:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fQe+9D0yvSNg+Q2ats+xB4FQENYvGhl/QIxRcTAz4UYn+lUUvuDDd1Tc6X8EjLhboeHIkG25DsiVPE9A+v4kBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T12:53:43.424836Z"},"content_sha256":"b9ee2e1955684d75e8d008c292af5e1b9570b400192f44b7fc691d0a975f97db","schema_version":"1.0","event_id":"sha256:b9ee2e1955684d75e8d008c292af5e1b9570b400192f44b7fc691d0a975f97db"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:D2UVP265DGIP4DRP6H2RA4ASWH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Conformal compactification and affine-null metric formulation of the Einstein equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Emanuel Gallo, Thomas M\\\"adler","submitted_at":"2025-04-26T17:06:17Z","abstract_excerpt":"In principle, global properties of solution of Einstein equations need to be addressed using the conformal Einstein equations, because this conformal compactification allows a clean definition of the `infinities' (spacelike, timelike and null infinity) of General Relativity. However, in numerical calculations often compactified coordinates in the physical space are used to reach these infinities. In this note, we discuss the conformal Einstein equations in spherical symmetry coupled to a massless scalar field and compare them with corresponding equations using a compactified coordinate in phys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18973","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2504.18973/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:35:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"97pRp0ucx2gzjO0h3K2FHTdBUllfpo/8f3eI2BTEjetYNW+/gmy5fDi/RPtFnCPAT5XCMqGp44X2TMiXPofNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T12:53:43.425228Z"},"content_sha256":"2b88738f7ecd70c5b430a22bcf5ffbf6715104824dc76085ecce2c13e64a7a16","schema_version":"1.0","event_id":"sha256:2b88738f7ecd70c5b430a22bcf5ffbf6715104824dc76085ecce2c13e64a7a16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2UVP265DGIP4DRP6H2RA4ASWH/bundle.json","state_url":"https://pith.science/pith/D2UVP265DGIP4DRP6H2RA4ASWH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2UVP265DGIP4DRP6H2RA4ASWH/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":"2026-08-19T12:53:43Z","links":{"resolver":"https://pith.science/pith/D2UVP265DGIP4DRP6H2RA4ASWH","bundle":"https://pith.science/pith/D2UVP265DGIP4DRP6H2RA4ASWH/bundle.json","state":"https://pith.science/pith/D2UVP265DGIP4DRP6H2RA4ASWH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2UVP265DGIP4DRP6H2RA4ASWH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:D2UVP265DGIP4DRP6H2RA4ASWH","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":"581b478138aaf0c41c10f0f75fad6b45cc0b600eee8f4bf123cc0dddcfdb9f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-04-26T17:06:17Z","title_canon_sha256":"d7e187b04ef965c29382407362120c2fb637d29f1318fbceae706fd3cd3d9b24"},"schema_version":"1.0","source":{"id":"2504.18973","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2504.18973","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"arxiv_version","alias_value":"2504.18973v2","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.18973","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"pith_short_12","alias_value":"D2UVP265DGIP","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"pith_short_16","alias_value":"D2UVP265DGIP4DRP","created_at":"2026-07-05T11:35:34Z"},{"alias_kind":"pith_short_8","alias_value":"D2UVP265","created_at":"2026-07-05T11:35:34Z"}],"graph_snapshots":[{"event_id":"sha256:2b88738f7ecd70c5b430a22bcf5ffbf6715104824dc76085ecce2c13e64a7a16","target":"graph","created_at":"2026-07-05T11:35:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2504.18973/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In principle, global properties of solution of Einstein equations need to be addressed using the conformal Einstein equations, because this conformal compactification allows a clean definition of the `infinities' (spacelike, timelike and null infinity) of General Relativity. However, in numerical calculations often compactified coordinates in the physical space are used to reach these infinities. In this note, we discuss the conformal Einstein equations in spherical symmetry coupled to a massless scalar field and compare them with corresponding equations using a compactified coordinate in phys","authors_text":"Emanuel Gallo, Thomas M\\\"adler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-04-26T17:06:17Z","title":"Conformal compactification and affine-null metric formulation of the Einstein equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.18973","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:b9ee2e1955684d75e8d008c292af5e1b9570b400192f44b7fc691d0a975f97db","target":"record","created_at":"2026-07-05T11:35:34Z","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":"581b478138aaf0c41c10f0f75fad6b45cc0b600eee8f4bf123cc0dddcfdb9f34","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-04-26T17:06:17Z","title_canon_sha256":"d7e187b04ef965c29382407362120c2fb637d29f1318fbceae706fd3cd3d9b24"},"schema_version":"1.0","source":{"id":"2504.18973","kind":"arxiv","version":2}},"canonical_sha256":"1ea957ebdd1990fe0e2ff1f5107012b1ec03e331c637721fa333a7d0c1f4078f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ea957ebdd1990fe0e2ff1f5107012b1ec03e331c637721fa333a7d0c1f4078f","first_computed_at":"2026-07-05T11:35:34.802838Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:35:34.802838Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/3kl6xx7v4w+iCxpP09UwdrmIAcjhPcC4Kb1yaFLLB/ex04DlXFZQfAXpqFv3RZEzTLKX5TXMQxfRwwP6FuzCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:35:34.803431Z","signed_message":"canonical_sha256_bytes"},"source_id":"2504.18973","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9ee2e1955684d75e8d008c292af5e1b9570b400192f44b7fc691d0a975f97db","sha256:2b88738f7ecd70c5b430a22bcf5ffbf6715104824dc76085ecce2c13e64a7a16"],"state_sha256":"33743b1feccf2fc954525503d2eb3f1b6154e1a3f76c5051fcda5851cdb8f6cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ThAtH4Nn57OzRxU39sabuPVqrXQNWkMjoU9ZlAsyoZijqSk9z6J5lCaVmWSfPzArWYFAPnPQBYRqvVrj/4gBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T12:53:43.427902Z","bundle_sha256":"4279c49916595b026dde7efb7be28c1b9391e5ebfa0167accede347b4c398160"}}