{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:AC6F7M2NWTPS5FW6JZXNQB3LPO","short_pith_number":"pith:AC6F7M2N","canonical_record":{"source":{"id":"gr-qc/9805063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-17T19:22:03Z","cross_cats_sorted":[],"title_canon_sha256":"15e74db925a19ec719cf4a6d05b48d97d3cef5cc7a11913ed47fc499952aab3a","abstract_canon_sha256":"d798a60858d5f618770a2bcccb7ff3a943a0ab7f86832d6b78bbb2a4cf0a18c8"},"schema_version":"1.0"},"canonical_sha256":"00bc5fb34db4df2e96de4e6ed8076b7b8abe10f3746ee3f9160997b249c5c8e1","source":{"kind":"arxiv","id":"gr-qc/9805063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9805063","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9805063v1","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9805063","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"AC6F7M2NWTPS","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"AC6F7M2NWTPS5FW6","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"AC6F7M2N","created_at":"2026-07-04T16:08:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:AC6F7M2NWTPS5FW6JZXNQB3LPO","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9805063","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-17T19:22:03Z","cross_cats_sorted":[],"title_canon_sha256":"15e74db925a19ec719cf4a6d05b48d97d3cef5cc7a11913ed47fc499952aab3a","abstract_canon_sha256":"d798a60858d5f618770a2bcccb7ff3a943a0ab7f86832d6b78bbb2a4cf0a18c8"},"schema_version":"1.0"},"canonical_sha256":"00bc5fb34db4df2e96de4e6ed8076b7b8abe10f3746ee3f9160997b249c5c8e1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:08:48.842340Z","signature_b64":"ke3FyQWKovMz0BQqFLmhyh7hLz4WTIdDVI0Jls8pehhd+LFkc0kdb0tIUemNS3SeKw8L7uuijOzzu6SQQFfcBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"00bc5fb34db4df2e96de4e6ed8076b7b8abe10f3746ee3f9160997b249c5c8e1","last_reissued_at":"2026-07-04T16:08:48.841896Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:08:48.841896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9805063","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":"2026-07-04T16:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XEjGz84DFnxcl8ox2MO7MpM0H7e0Vuf1wiqs2Vd6GT9YDEZXhzVL4kXLKiDb4V3VUhzzqmKOFIAOyoP7hzKiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T15:38:53.513061Z"},"content_sha256":"4d8410338c89ef7e1372bf7041c3ad83d50f22844aa93d61126e25d2abd23f94","schema_version":"1.0","event_id":"sha256:4d8410338c89ef7e1372bf7041c3ad83d50f22844aa93d61126e25d2abd23f94"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:AC6F7M2NWTPS5FW6JZXNQB3LPO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Singularity in Generic Gravitational Collapse Is Spacelike, Local, and Oscillatory","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Beverly K. Berger, David Garfinkle, James Isenberg, Marsha Weaver, Vincent Moncrief","submitted_at":"1998-05-17T19:22:03Z","abstract_excerpt":"A longstanding conjecture by Belinskii, Khalatnikov, and Lifshitz that the singularity in generic gravitational collapse is spacelike, local, and oscillatory is explored analytically and numerically in spatially inhomogeneous cosmological spacetimes. With a convenient choice of variables, it can be seen analytically how nonlinear terms in Einstein's equations control the approach to the singularity and cause oscillatory behavior. The analytic picture requires the drastic assumption that each spatial point evolves toward the singularity as an independent spatially homogeneous universe. In every"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9805063","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/9805063/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":"2026-07-04T16:08:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SjxvX+HsMTCT/Ugs+W+qbB61KGAGPA+Dll7vJeFFoAqH4EiKg7LwgDD3t95YbH0CiUL09t96+j6L2zaSdr2BBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T15:38:53.513347Z"},"content_sha256":"315b265e977c6cba24f17ce10cd7ccef254eeb37f7e142caf1c01614a8ec1d21","schema_version":"1.0","event_id":"sha256:315b265e977c6cba24f17ce10cd7ccef254eeb37f7e142caf1c01614a8ec1d21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AC6F7M2NWTPS5FW6JZXNQB3LPO/bundle.json","state_url":"https://pith.science/pith/AC6F7M2NWTPS5FW6JZXNQB3LPO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AC6F7M2NWTPS5FW6JZXNQB3LPO/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":"2026-07-31T15:38:53Z","links":{"resolver":"https://pith.science/pith/AC6F7M2NWTPS5FW6JZXNQB3LPO","bundle":"https://pith.science/pith/AC6F7M2NWTPS5FW6JZXNQB3LPO/bundle.json","state":"https://pith.science/pith/AC6F7M2NWTPS5FW6JZXNQB3LPO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AC6F7M2NWTPS5FW6JZXNQB3LPO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:AC6F7M2NWTPS5FW6JZXNQB3LPO","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":"d798a60858d5f618770a2bcccb7ff3a943a0ab7f86832d6b78bbb2a4cf0a18c8","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-17T19:22:03Z","title_canon_sha256":"15e74db925a19ec719cf4a6d05b48d97d3cef5cc7a11913ed47fc499952aab3a"},"schema_version":"1.0","source":{"id":"gr-qc/9805063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9805063","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9805063v1","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9805063","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"pith_short_12","alias_value":"AC6F7M2NWTPS","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"pith_short_16","alias_value":"AC6F7M2NWTPS5FW6","created_at":"2026-07-04T16:08:48Z"},{"alias_kind":"pith_short_8","alias_value":"AC6F7M2N","created_at":"2026-07-04T16:08:48Z"}],"graph_snapshots":[{"event_id":"sha256:315b265e977c6cba24f17ce10cd7ccef254eeb37f7e142caf1c01614a8ec1d21","target":"graph","created_at":"2026-07-04T16:08:48Z","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/gr-qc/9805063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A longstanding conjecture by Belinskii, Khalatnikov, and Lifshitz that the singularity in generic gravitational collapse is spacelike, local, and oscillatory is explored analytically and numerically in spatially inhomogeneous cosmological spacetimes. With a convenient choice of variables, it can be seen analytically how nonlinear terms in Einstein's equations control the approach to the singularity and cause oscillatory behavior. The analytic picture requires the drastic assumption that each spatial point evolves toward the singularity as an independent spatially homogeneous universe. In every","authors_text":"Beverly K. Berger, David Garfinkle, James Isenberg, Marsha Weaver, Vincent Moncrief","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1998-05-17T19:22:03Z","title":"The Singularity in Generic Gravitational Collapse Is Spacelike, Local, and Oscillatory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9805063","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":"sha256:4d8410338c89ef7e1372bf7041c3ad83d50f22844aa93d61126e25d2abd23f94","target":"record","created_at":"2026-07-04T16:08:48Z","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":"d798a60858d5f618770a2bcccb7ff3a943a0ab7f86832d6b78bbb2a4cf0a18c8","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1998-05-17T19:22:03Z","title_canon_sha256":"15e74db925a19ec719cf4a6d05b48d97d3cef5cc7a11913ed47fc499952aab3a"},"schema_version":"1.0","source":{"id":"gr-qc/9805063","kind":"arxiv","version":1}},"canonical_sha256":"00bc5fb34db4df2e96de4e6ed8076b7b8abe10f3746ee3f9160997b249c5c8e1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"00bc5fb34db4df2e96de4e6ed8076b7b8abe10f3746ee3f9160997b249c5c8e1","first_computed_at":"2026-07-04T16:08:48.841896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:08:48.841896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ke3FyQWKovMz0BQqFLmhyh7hLz4WTIdDVI0Jls8pehhd+LFkc0kdb0tIUemNS3SeKw8L7uuijOzzu6SQQFfcBA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:08:48.842340Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9805063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d8410338c89ef7e1372bf7041c3ad83d50f22844aa93d61126e25d2abd23f94","sha256:315b265e977c6cba24f17ce10cd7ccef254eeb37f7e142caf1c01614a8ec1d21"],"state_sha256":"a9d2eb21da19c1a2ffa28376fb4456a48e007d33aa3e6b6ccabe7f0ddd9c53f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l/m/RcYfghqUg3E2hZO7Gb33puGkviFp8lc+gAqg1SMaBjtfqU+0iBjjSlOQzu3A0eYerlaQhgsEKGceCaE5Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T15:38:53.515877Z","bundle_sha256":"81c8d2fa04f116356b5800d3f849e092cbbd5705aa4a746c5f71e9e1f959f533"}}