{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:25VWEKGDNCSHMQSN6ZOTUVONPY","short_pith_number":"pith:25VWEKGD","canonical_record":{"source":{"id":"gr-qc/9305021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1993-05-25T15:54:55Z","cross_cats_sorted":[],"title_canon_sha256":"a71d013493729c490c27fe590ad7311063b4f7e1c62137f4c3072bf0112feb98","abstract_canon_sha256":"502a4749ba9394b2699a53b46a42b7b0536be92a32dba97d558dbd44d892af3d"},"schema_version":"1.0"},"canonical_sha256":"d76b6228c368a476424df65d3a55cd7e17a0a00fb2ec6b7d53a5b7596dc00b0f","source":{"kind":"arxiv","id":"gr-qc/9305021","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9305021","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9305021v1","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9305021","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"pith_short_12","alias_value":"25VWEKGDNCSH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"25VWEKGDNCSHMQSN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"25VWEKGD","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:25VWEKGDNCSHMQSN6ZOTUVONPY","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9305021","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1993-05-25T15:54:55Z","cross_cats_sorted":[],"title_canon_sha256":"a71d013493729c490c27fe590ad7311063b4f7e1c62137f4c3072bf0112feb98","abstract_canon_sha256":"502a4749ba9394b2699a53b46a42b7b0536be92a32dba97d558dbd44d892af3d"},"schema_version":"1.0"},"canonical_sha256":"d76b6228c368a476424df65d3a55cd7e17a0a00fb2ec6b7d53a5b7596dc00b0f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:19.871585Z","signature_b64":"WoF/5KLgZb6WnfI8oCIX6ACFp62GUD2Xt9bY6d9ZXMgf6L+OQCvZLmDJq0QiZcv/nA5HwnBeGWxIVlJ9al73Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d76b6228c368a476424df65d3a55cd7e17a0a00fb2ec6b7d53a5b7596dc00b0f","last_reissued_at":"2026-05-18T01:39:19.870948Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:19.870948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9305021","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":"2026-05-18T01:39:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DhNtAmDDZxo9zBoVUDJ+7iBMd6EH6yAqfMka6L3+PE+qbLBFWzOMe3kZNhnVQqDDGupPvpdlb/r8YSlSp9ZtCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:29:27.547309Z"},"content_sha256":"ca5ba0fff3f019194e8cbff52b744e67af3c360631640f480975e75125fd321b","schema_version":"1.0","event_id":"sha256:ca5ba0fff3f019194e8cbff52b744e67af3c360631640f480975e75125fd321b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:25VWEKGDNCSHMQSN6ZOTUVONPY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of \\Scri","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"David B. Singleton, Malcolm A.H. MacCallum, Piotr T. Chrusciel","submitted_at":"1993-05-25T15:54:55Z","abstract_excerpt":"The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri. Various quantities of interest, including the Bondi mass loss formula, the peeling--off of the Riemann tensor and the Newman--Penrose constants of motion are re-examined in this context."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9305021","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":"2026-05-18T01:39:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wIs9vbv4Lc8HhfV4g4eD8l0LN/bUOsnJz3k60HGrg74H4l4gJ0CeR4/6zURAdN7sMTuzqbBJ8IImBddNZBPNBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:29:27.547749Z"},"content_sha256":"b07b3b878771516ea995967755da7d54a9f72964aa7022a9d420e117dab5728f","schema_version":"1.0","event_id":"sha256:b07b3b878771516ea995967755da7d54a9f72964aa7022a9d420e117dab5728f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25VWEKGDNCSHMQSN6ZOTUVONPY/bundle.json","state_url":"https://pith.science/pith/25VWEKGDNCSHMQSN6ZOTUVONPY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25VWEKGDNCSHMQSN6ZOTUVONPY/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":"2026-05-31T23:29:27Z","links":{"resolver":"https://pith.science/pith/25VWEKGDNCSHMQSN6ZOTUVONPY","bundle":"https://pith.science/pith/25VWEKGDNCSHMQSN6ZOTUVONPY/bundle.json","state":"https://pith.science/pith/25VWEKGDNCSHMQSN6ZOTUVONPY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25VWEKGDNCSHMQSN6ZOTUVONPY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:25VWEKGDNCSHMQSN6ZOTUVONPY","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":"502a4749ba9394b2699a53b46a42b7b0536be92a32dba97d558dbd44d892af3d","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1993-05-25T15:54:55Z","title_canon_sha256":"a71d013493729c490c27fe590ad7311063b4f7e1c62137f4c3072bf0112feb98"},"schema_version":"1.0","source":{"id":"gr-qc/9305021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9305021","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9305021v1","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9305021","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"pith_short_12","alias_value":"25VWEKGDNCSH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"25VWEKGDNCSHMQSN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"25VWEKGD","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:b07b3b878771516ea995967755da7d54a9f72964aa7022a9d420e117dab5728f","target":"graph","created_at":"2026-05-18T01:39:19Z","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":"The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic expansion of the metric is related to the non--vanishing of the Weyl tensor at Scri. Various quantities of interest, including the Bondi mass loss formula, the peeling--off of the Riemann tensor and the Newman--Penrose constants of motion are re-examined in this context.","authors_text":"David B. Singleton, Malcolm A.H. MacCallum, Piotr T. Chrusciel","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1993-05-25T15:54:55Z","title":"Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of \\Scri"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9305021","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:ca5ba0fff3f019194e8cbff52b744e67af3c360631640f480975e75125fd321b","target":"record","created_at":"2026-05-18T01:39:19Z","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":"502a4749ba9394b2699a53b46a42b7b0536be92a32dba97d558dbd44d892af3d","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1993-05-25T15:54:55Z","title_canon_sha256":"a71d013493729c490c27fe590ad7311063b4f7e1c62137f4c3072bf0112feb98"},"schema_version":"1.0","source":{"id":"gr-qc/9305021","kind":"arxiv","version":1}},"canonical_sha256":"d76b6228c368a476424df65d3a55cd7e17a0a00fb2ec6b7d53a5b7596dc00b0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d76b6228c368a476424df65d3a55cd7e17a0a00fb2ec6b7d53a5b7596dc00b0f","first_computed_at":"2026-05-18T01:39:19.870948Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:19.870948Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WoF/5KLgZb6WnfI8oCIX6ACFp62GUD2Xt9bY6d9ZXMgf6L+OQCvZLmDJq0QiZcv/nA5HwnBeGWxIVlJ9al73Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:19.871585Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9305021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca5ba0fff3f019194e8cbff52b744e67af3c360631640f480975e75125fd321b","sha256:b07b3b878771516ea995967755da7d54a9f72964aa7022a9d420e117dab5728f"],"state_sha256":"214e87d08f022ed874ba0276fc28b711fa9226e06385b29e56b19d2dfafb7b99"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Xfia0TYKkK0FoZdIQkAFxE7JEMm6DD/rSgd4Dc3VPN0L8DAWa2ssu1igFS5ZO8+mH9M2y+1q36j43GhICdRCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:29:27.550568Z","bundle_sha256":"b67b3b21c95129710fda382f85f536dc653ead5885e99a41c679f1520bea9411"}}