{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:XXPPMGZ62CTZMT4A64WC7ITDNO","short_pith_number":"pith:XXPPMGZ6","canonical_record":{"source":{"id":"gr-qc/0703084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-03-15T12:11:23Z","cross_cats_sorted":[],"title_canon_sha256":"980f2f252d94ac4600824ee26fc6508c0d14d57d395e6875d9a4076b0ebc6b73","abstract_canon_sha256":"b61daacc5f54d7dc4b408e20b92a9f9a0ee63c85909b40dfd76f40ef0d095b25"},"schema_version":"1.0"},"canonical_sha256":"bddef61b3ed0a7964f80f72c2fa2636ba1a2defd289ecbb411fa0fadadc10a98","source":{"kind":"arxiv","id":"gr-qc/0703084","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0703084","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0703084v1","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0703084","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"XXPPMGZ62CTZ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"XXPPMGZ62CTZMT4A","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"XXPPMGZ6","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:XXPPMGZ62CTZMT4A64WC7ITDNO","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0703084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2007-03-15T12:11:23Z","cross_cats_sorted":[],"title_canon_sha256":"980f2f252d94ac4600824ee26fc6508c0d14d57d395e6875d9a4076b0ebc6b73","abstract_canon_sha256":"b61daacc5f54d7dc4b408e20b92a9f9a0ee63c85909b40dfd76f40ef0d095b25"},"schema_version":"1.0"},"canonical_sha256":"bddef61b3ed0a7964f80f72c2fa2636ba1a2defd289ecbb411fa0fadadc10a98","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:12.324403Z","signature_b64":"zbgdc+LbmiNhDT3+syzZxCIpl9fRLAJQyuDqaIznFCAy6og+AqQWVCzgEkFf/6nTZgPQepe6eTyIE42IBrEuAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bddef61b3ed0a7964f80f72c2fa2636ba1a2defd289ecbb411fa0fadadc10a98","last_reissued_at":"2026-05-18T00:59:12.323665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:12.323665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0703084","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":"2026-05-18T00:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lbn6srl0dq6ln9P0u4AV11laobS7uKzQw9KF4WxmjvmYN2S1ttcl8VNSmabCWnRiXDDYf0VcuRAep9WFy+6nDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:21:19.076841Z"},"content_sha256":"345ce405e1ab719dd71b8e0be75e8fe1a76c9ff91c0dce477d9c748371318a06","schema_version":"1.0","event_id":"sha256:345ce405e1ab719dd71b8e0be75e8fe1a76c9ff91c0dce477d9c748371318a06"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:XXPPMGZ62CTZMT4A64WC7ITDNO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Talking About Singularities","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Spiros Cotsakis","submitted_at":"2007-03-15T12:11:23Z","abstract_excerpt":"We discuss some aspects of recent research as well as more general issues about motivation, useful methods and open problems in the field of cosmological singularities. In particular, we review some of the approaches to the general area and include discussions of the method of asymptotic splittings, singularity and completeness theorems and the use of the Bel-Robinson energy to prove completeness theorems and classify cosmological singularities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0703084","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":"2026-05-18T00:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nhK37RzY5PWlHLsilmReJtFgJ0HGBrx8B1UPVgZ7lb5MaGzqvrMt16Jm5AKqhRNxqWkE6rIPoFvTh7qoFsmXBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T07:21:19.077610Z"},"content_sha256":"58c5418a6644243aaaeb0602630f43d3fd746f35ad5189d2df8c546a66a52ce8","schema_version":"1.0","event_id":"sha256:58c5418a6644243aaaeb0602630f43d3fd746f35ad5189d2df8c546a66a52ce8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XXPPMGZ62CTZMT4A64WC7ITDNO/bundle.json","state_url":"https://pith.science/pith/XXPPMGZ62CTZMT4A64WC7ITDNO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XXPPMGZ62CTZMT4A64WC7ITDNO/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":"2026-06-11T07:21:19Z","links":{"resolver":"https://pith.science/pith/XXPPMGZ62CTZMT4A64WC7ITDNO","bundle":"https://pith.science/pith/XXPPMGZ62CTZMT4A64WC7ITDNO/bundle.json","state":"https://pith.science/pith/XXPPMGZ62CTZMT4A64WC7ITDNO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XXPPMGZ62CTZMT4A64WC7ITDNO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:XXPPMGZ62CTZMT4A64WC7ITDNO","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":"b61daacc5f54d7dc4b408e20b92a9f9a0ee63c85909b40dfd76f40ef0d095b25","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-03-15T12:11:23Z","title_canon_sha256":"980f2f252d94ac4600824ee26fc6508c0d14d57d395e6875d9a4076b0ebc6b73"},"schema_version":"1.0","source":{"id":"gr-qc/0703084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0703084","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0703084v1","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0703084","created_at":"2026-05-18T00:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"XXPPMGZ62CTZ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"XXPPMGZ62CTZMT4A","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"XXPPMGZ6","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:58c5418a6644243aaaeb0602630f43d3fd746f35ad5189d2df8c546a66a52ce8","target":"graph","created_at":"2026-05-18T00:59:12Z","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 discuss some aspects of recent research as well as more general issues about motivation, useful methods and open problems in the field of cosmological singularities. In particular, we review some of the approaches to the general area and include discussions of the method of asymptotic splittings, singularity and completeness theorems and the use of the Bel-Robinson energy to prove completeness theorems and classify cosmological singularities.","authors_text":"Spiros Cotsakis","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2007-03-15T12:11:23Z","title":"Talking About Singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0703084","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":"sha256:345ce405e1ab719dd71b8e0be75e8fe1a76c9ff91c0dce477d9c748371318a06","target":"record","created_at":"2026-05-18T00:59:12Z","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":"b61daacc5f54d7dc4b408e20b92a9f9a0ee63c85909b40dfd76f40ef0d095b25","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2007-03-15T12:11:23Z","title_canon_sha256":"980f2f252d94ac4600824ee26fc6508c0d14d57d395e6875d9a4076b0ebc6b73"},"schema_version":"1.0","source":{"id":"gr-qc/0703084","kind":"arxiv","version":1}},"canonical_sha256":"bddef61b3ed0a7964f80f72c2fa2636ba1a2defd289ecbb411fa0fadadc10a98","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bddef61b3ed0a7964f80f72c2fa2636ba1a2defd289ecbb411fa0fadadc10a98","first_computed_at":"2026-05-18T00:59:12.323665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:12.323665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zbgdc+LbmiNhDT3+syzZxCIpl9fRLAJQyuDqaIznFCAy6og+AqQWVCzgEkFf/6nTZgPQepe6eTyIE42IBrEuAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:12.324403Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0703084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:345ce405e1ab719dd71b8e0be75e8fe1a76c9ff91c0dce477d9c748371318a06","sha256:58c5418a6644243aaaeb0602630f43d3fd746f35ad5189d2df8c546a66a52ce8"],"state_sha256":"8847adc74e26e2001c2b70f1f06d926542bee357853863492e2397ebab191e97"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+yVoFvPE6u+P06M4WEVIWNCwMmIrbw7w1bzOZyYly05PhtqG6+j81JJUARKfXOoil5ZH0NHgynOxQuXBualrDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T07:21:19.082355Z","bundle_sha256":"7abad050aef499a9f0b14ff42db09bba68310a37a7b6e29736e92addfb991e5e"}}