{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:IELX7DUBKAASFKG3PA57P6NVVU","short_pith_number":"pith:IELX7DUB","canonical_record":{"source":{"id":"gr-qc/0607073","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-07-19T14:23:10Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"634bf86cd1f0d2f74540db20cbbe7322172816462865ebad99f686f7a8b0bd36","abstract_canon_sha256":"3acedd59305ddb019780de03bca19167a3d63a0776ad2a00450308cf44b12219"},"schema_version":"1.0"},"canonical_sha256":"41177f8e81500122a8db783bf7f9b5ad33c364112767d782266ea5f1ed8520e6","source":{"kind":"arxiv","id":"gr-qc/0607073","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0607073","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0607073v1","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0607073","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"pith_short_12","alias_value":"IELX7DUBKAAS","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"pith_short_16","alias_value":"IELX7DUBKAASFKG3","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"pith_short_8","alias_value":"IELX7DUB","created_at":"2026-07-04T14:55:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:IELX7DUBKAASFKG3PA57P6NVVU","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0607073","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-07-19T14:23:10Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"634bf86cd1f0d2f74540db20cbbe7322172816462865ebad99f686f7a8b0bd36","abstract_canon_sha256":"3acedd59305ddb019780de03bca19167a3d63a0776ad2a00450308cf44b12219"},"schema_version":"1.0"},"canonical_sha256":"41177f8e81500122a8db783bf7f9b5ad33c364112767d782266ea5f1ed8520e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:55:25.871381Z","signature_b64":"o3bL+N4hUKWlEOQLIUrMXjIEeYU+MALN3PN0hrbGAQh9B0ciBrSFhhg7M31/PY5ByY6ouKehpOEcvLt23pglCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41177f8e81500122a8db783bf7f9b5ad33c364112767d782266ea5f1ed8520e6","last_reissued_at":"2026-07-04T14:55:25.871035Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:55:25.871035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0607073","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":"2026-07-04T14:55:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zIdF4kuqQUyPBPP0HxY2Y3kKWNOUl+W078vzmdFXZSWarMaTBJchVlPPl1kosTUeGFCZH8t7SSYr5XjjQMxwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:26:51.388999Z"},"content_sha256":"56807444c30c92822da2a20d1f1f9790725b34773bc3025ba7367e29ae05ce21","schema_version":"1.0","event_id":"sha256:56807444c30c92822da2a20d1f1f9790725b34773bc3025ba7367e29ae05ce21"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:IELX7DUBKAASFKG3PA57P6NVVU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of cosmological milestones","license":"","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"L. Fernandez-Jambrina, R. Lazkoz","submitted_at":"2006-07-19T14:23:10Z","abstract_excerpt":"In this paper causal geodesic completeness of FLRW cosmological models is analysed in terms of generalised power expansions of the scale factor in coordinate time. The strength of the found singularities is discussed following the usual definitions due to Tipler and Krolak. It is shown that while classical cosmological models are both timelike and lightlike geodesically incomplete, certain observationally alllowed models which have been proposed recently are lightlike geodesically complete."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0607073","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/0607073/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":"2026-07-04T14:55:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3q+UyOqdLl62O7hgZncuCp1mPKht0U0/HkoePE0n86DW3QKcv4lyKPOl6ruGIJt2Mkp5p6H699M+4bHnFoECCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T19:26:51.390313Z"},"content_sha256":"d6233795c91ca15dd908367845cc4aebd7f7ae77805679d0929937962bc7bac7","schema_version":"1.0","event_id":"sha256:d6233795c91ca15dd908367845cc4aebd7f7ae77805679d0929937962bc7bac7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IELX7DUBKAASFKG3PA57P6NVVU/bundle.json","state_url":"https://pith.science/pith/IELX7DUBKAASFKG3PA57P6NVVU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IELX7DUBKAASFKG3PA57P6NVVU/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":"2026-08-09T19:26:51Z","links":{"resolver":"https://pith.science/pith/IELX7DUBKAASFKG3PA57P6NVVU","bundle":"https://pith.science/pith/IELX7DUBKAASFKG3PA57P6NVVU/bundle.json","state":"https://pith.science/pith/IELX7DUBKAASFKG3PA57P6NVVU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IELX7DUBKAASFKG3PA57P6NVVU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:IELX7DUBKAASFKG3PA57P6NVVU","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":"3acedd59305ddb019780de03bca19167a3d63a0776ad2a00450308cf44b12219","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-07-19T14:23:10Z","title_canon_sha256":"634bf86cd1f0d2f74540db20cbbe7322172816462865ebad99f686f7a8b0bd36"},"schema_version":"1.0","source":{"id":"gr-qc/0607073","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0607073","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0607073v1","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0607073","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"pith_short_12","alias_value":"IELX7DUBKAAS","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"pith_short_16","alias_value":"IELX7DUBKAASFKG3","created_at":"2026-07-04T14:55:25Z"},{"alias_kind":"pith_short_8","alias_value":"IELX7DUB","created_at":"2026-07-04T14:55:25Z"}],"graph_snapshots":[{"event_id":"sha256:d6233795c91ca15dd908367845cc4aebd7f7ae77805679d0929937962bc7bac7","target":"graph","created_at":"2026-07-04T14:55:25Z","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/0607073/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper causal geodesic completeness of FLRW cosmological models is analysed in terms of generalised power expansions of the scale factor in coordinate time. The strength of the found singularities is discussed following the usual definitions due to Tipler and Krolak. It is shown that while classical cosmological models are both timelike and lightlike geodesically incomplete, certain observationally alllowed models which have been proposed recently are lightlike geodesically complete.","authors_text":"L. Fernandez-Jambrina, R. Lazkoz","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2006-07-19T14:23:10Z","title":"Classification of cosmological milestones"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0607073","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":"sha256:56807444c30c92822da2a20d1f1f9790725b34773bc3025ba7367e29ae05ce21","target":"record","created_at":"2026-07-04T14:55:25Z","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":"3acedd59305ddb019780de03bca19167a3d63a0776ad2a00450308cf44b12219","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"2006-07-19T14:23:10Z","title_canon_sha256":"634bf86cd1f0d2f74540db20cbbe7322172816462865ebad99f686f7a8b0bd36"},"schema_version":"1.0","source":{"id":"gr-qc/0607073","kind":"arxiv","version":1}},"canonical_sha256":"41177f8e81500122a8db783bf7f9b5ad33c364112767d782266ea5f1ed8520e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41177f8e81500122a8db783bf7f9b5ad33c364112767d782266ea5f1ed8520e6","first_computed_at":"2026-07-04T14:55:25.871035Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:55:25.871035Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o3bL+N4hUKWlEOQLIUrMXjIEeYU+MALN3PN0hrbGAQh9B0ciBrSFhhg7M31/PY5ByY6ouKehpOEcvLt23pglCw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:55:25.871381Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0607073","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56807444c30c92822da2a20d1f1f9790725b34773bc3025ba7367e29ae05ce21","sha256:d6233795c91ca15dd908367845cc4aebd7f7ae77805679d0929937962bc7bac7"],"state_sha256":"52da4b48341c08809a8cc51736135d11c1ee52217d372b647d2041fa54b1128e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZpPIGSavSkVuBCyMQaqx73hV/8YY9ZxPFwBOO0C9R0we5GU3CG9/SQRIrvOVy2cPvZluvgrpP1f2xxQPlK7kDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T19:26:51.396649Z","bundle_sha256":"1693e8b19d66e54bdfddde52915bc5eba84c4f4e75819d1307763213c61cbd91"}}