{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:55UOPAHUBCLDQ7VJ5H3Q4HNGSM","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":"0163277db6661a6570aae307efe27142c3c77fcfde3547cfaf9b7c3c34eb205e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-22T22:46:36Z","title_canon_sha256":"4acc713870bf06dce6a190dd5060a8bb9cd4e09c9bcf2d021bcd6b43460daf96"},"schema_version":"1.0","source":{"id":"1603.07018","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07018","created_at":"2026-05-18T01:11:31Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07018v2","created_at":"2026-05-18T01:11:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07018","created_at":"2026-05-18T01:11:31Z"},{"alias_kind":"pith_short_12","alias_value":"55UOPAHUBCLD","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"55UOPAHUBCLDQ7VJ","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"55UOPAHU","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:2aca76441ba75715097dcc0837cbf90d71a6b46e5f824c3f32cb3d192d8f1688","target":"graph","created_at":"2026-05-18T01:11:31Z","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 propose a definition of mass for characteristic hypersurfaces in asymptotically vacuum space-times with non-vanishing cosmological constant $\\Lambda \\in {\\mathbb R}^*$, generalising the definition of Trautman and Bondi for $\\Lambda=0$. We show that our definition reduces to some standard definitions in several situations. We establish a balance formula linking the characteristic mass and a suitably defined renormalised volume of the null hypersurface, generalising the positivity identity of one of us (PTC) and Paetz proved when $\\Lambda=0$.","authors_text":"Lukas Ifsits, Piotr T. Chru\\'sciel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-22T22:46:36Z","title":"The cosmological constant and the energy of gravitational radiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07018","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":"sha256:3c45296af83c793df91e373d7900b2f8f08ac830353af6350ab755a40fb2a944","target":"record","created_at":"2026-05-18T01:11:31Z","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":"0163277db6661a6570aae307efe27142c3c77fcfde3547cfaf9b7c3c34eb205e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-03-22T22:46:36Z","title_canon_sha256":"4acc713870bf06dce6a190dd5060a8bb9cd4e09c9bcf2d021bcd6b43460daf96"},"schema_version":"1.0","source":{"id":"1603.07018","kind":"arxiv","version":2}},"canonical_sha256":"ef68e780f40896387ea9e9f70e1da6933d4af177abefd980b3b06e7f78794b28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef68e780f40896387ea9e9f70e1da6933d4af177abefd980b3b06e7f78794b28","first_computed_at":"2026-05-18T01:11:31.282132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:31.282132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g5F/LiTFg08mAEYXqHpuTsnNbHKgWZ/yS68o0xpyUO5oOWUE8sUYE4s3SfMX2UoLwXr+hoWo1E6jHvy+9CZ4CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:31.282476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07018","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c45296af83c793df91e373d7900b2f8f08ac830353af6350ab755a40fb2a944","sha256:2aca76441ba75715097dcc0837cbf90d71a6b46e5f824c3f32cb3d192d8f1688"],"state_sha256":"ca477bebd48dfc7700f992d6ba6959b3f706fa4b2cbe6f28f2555a4d64c28236"}