{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:R4Q32TS3H3X4IIQXZQJ2U6SFYG","short_pith_number":"pith:R4Q32TS3","canonical_record":{"source":{"id":"gr-qc/9704063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-04-23T16:38:27Z","cross_cats_sorted":[],"title_canon_sha256":"f24d7cbb0b8518603db8b3539ab029d2bf3abe08e3543916ded24308e031b65f","abstract_canon_sha256":"cb570732976219c9038d3649ced3956593dcd38b210eb6ffc4291794347f0625"},"schema_version":"1.0"},"canonical_sha256":"8f21bd4e5b3eefc42217cc13aa7a45c1a661c767e2a0127ab87ab8bbdeeac845","source":{"kind":"arxiv","id":"gr-qc/9704063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9704063","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9704063v1","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9704063","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"pith_short_12","alias_value":"R4Q32TS3H3X4","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"R4Q32TS3H3X4IIQX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"R4Q32TS3","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:R4Q32TS3H3X4IIQXZQJ2U6SFYG","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9704063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1997-04-23T16:38:27Z","cross_cats_sorted":[],"title_canon_sha256":"f24d7cbb0b8518603db8b3539ab029d2bf3abe08e3543916ded24308e031b65f","abstract_canon_sha256":"cb570732976219c9038d3649ced3956593dcd38b210eb6ffc4291794347f0625"},"schema_version":"1.0"},"canonical_sha256":"8f21bd4e5b3eefc42217cc13aa7a45c1a661c767e2a0127ab87ab8bbdeeac845","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:19.022387Z","signature_b64":"I2hDbIMvjuzBI32gi3GGWf2NrtZnBVXnqKr6NTR9AkWx+7B8icfWUagssBtrSriK7ba41qGjwR+eThRusBtwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f21bd4e5b3eefc42217cc13aa7a45c1a661c767e2a0127ab87ab8bbdeeac845","last_reissued_at":"2026-05-18T01:39:19.021837Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:19.021837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9704063","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":"k1qvUg01+pm5WbRZAsW3WmTjvxNh0P6i7sIbD5Q3Pa52PdmI33y/pcl0AvB1dNQKtUtf9dOlGRateylKfayfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:36:05.574845Z"},"content_sha256":"8994fd0ff3699e982cd507f40c6e2503bb62e8f021dc6e712266fdc3d37c348f","schema_version":"1.0","event_id":"sha256:8994fd0ff3699e982cd507f40c6e2503bb62e8f021dc6e712266fdc3d37c348f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:R4Q32TS3H3X4IIQXZQJ2U6SFYG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ricci Collineations for type B warped space-times","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"J. Carot, L. A. N\\'unez, U. Percoco","submitted_at":"1997-04-23T16:38:27Z","abstract_excerpt":"We present the general structure of proper Ricci Collineations (RC) for type B warped space-times. Within this framework, we give a detailed description of the most general proper RC for spherically symmetric metrics. As examples, static spherically symmetric and Friedmann-Robertson-Walker space-times are considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9704063","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":"wUyOjc+nTzUWls/cZiAUqBRMef9uDLrHYQIlF+/r9TugYoO06oLPjH6PTpX7u7ts029exYqBnBtxB4PvmpzVCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T04:36:05.575179Z"},"content_sha256":"7e65ea4eab3d9296d8a09dd82350f3f4b26848c1c1ebdba16bc3e377eb647a0f","schema_version":"1.0","event_id":"sha256:7e65ea4eab3d9296d8a09dd82350f3f4b26848c1c1ebdba16bc3e377eb647a0f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R4Q32TS3H3X4IIQXZQJ2U6SFYG/bundle.json","state_url":"https://pith.science/pith/R4Q32TS3H3X4IIQXZQJ2U6SFYG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R4Q32TS3H3X4IIQXZQJ2U6SFYG/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":"2026-06-30T04:36:05Z","links":{"resolver":"https://pith.science/pith/R4Q32TS3H3X4IIQXZQJ2U6SFYG","bundle":"https://pith.science/pith/R4Q32TS3H3X4IIQXZQJ2U6SFYG/bundle.json","state":"https://pith.science/pith/R4Q32TS3H3X4IIQXZQJ2U6SFYG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R4Q32TS3H3X4IIQXZQJ2U6SFYG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:R4Q32TS3H3X4IIQXZQJ2U6SFYG","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":"cb570732976219c9038d3649ced3956593dcd38b210eb6ffc4291794347f0625","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-04-23T16:38:27Z","title_canon_sha256":"f24d7cbb0b8518603db8b3539ab029d2bf3abe08e3543916ded24308e031b65f"},"schema_version":"1.0","source":{"id":"gr-qc/9704063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9704063","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9704063v1","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9704063","created_at":"2026-05-18T01:39:19Z"},{"alias_kind":"pith_short_12","alias_value":"R4Q32TS3H3X4","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"R4Q32TS3H3X4IIQX","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"R4Q32TS3","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:7e65ea4eab3d9296d8a09dd82350f3f4b26848c1c1ebdba16bc3e377eb647a0f","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":"We present the general structure of proper Ricci Collineations (RC) for type B warped space-times. Within this framework, we give a detailed description of the most general proper RC for spherically symmetric metrics. As examples, static spherically symmetric and Friedmann-Robertson-Walker space-times are considered.","authors_text":"J. Carot, L. A. N\\'unez, U. Percoco","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1997-04-23T16:38:27Z","title":"Ricci Collineations for type B warped space-times"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9704063","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":"sha256:8994fd0ff3699e982cd507f40c6e2503bb62e8f021dc6e712266fdc3d37c348f","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":"cb570732976219c9038d3649ced3956593dcd38b210eb6ffc4291794347f0625","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1997-04-23T16:38:27Z","title_canon_sha256":"f24d7cbb0b8518603db8b3539ab029d2bf3abe08e3543916ded24308e031b65f"},"schema_version":"1.0","source":{"id":"gr-qc/9704063","kind":"arxiv","version":1}},"canonical_sha256":"8f21bd4e5b3eefc42217cc13aa7a45c1a661c767e2a0127ab87ab8bbdeeac845","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f21bd4e5b3eefc42217cc13aa7a45c1a661c767e2a0127ab87ab8bbdeeac845","first_computed_at":"2026-05-18T01:39:19.021837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:19.021837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I2hDbIMvjuzBI32gi3GGWf2NrtZnBVXnqKr6NTR9AkWx+7B8icfWUagssBtrSriK7ba41qGjwR+eThRusBtwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:19.022387Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9704063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8994fd0ff3699e982cd507f40c6e2503bb62e8f021dc6e712266fdc3d37c348f","sha256:7e65ea4eab3d9296d8a09dd82350f3f4b26848c1c1ebdba16bc3e377eb647a0f"],"state_sha256":"d2864760feff80e3dc1961a3e95cc0cb2e386419eba5a05e2973442a2f583009"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ecYgwiLiBjttNNt+5SDLfqzSjvJrfqDklsMpxGzaDzjfM8iCSW6FCZPUD9GsMig2RB++eFcqyTiZ+IOnFlzIAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T04:36:05.577027Z","bundle_sha256":"72ff2bac47174083c628f6c6378692f982c28ed297c0ced27af8bd4a89f4e5e4"}}