{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:3KYDN5G3CGARDI245QN6SCQPGK","short_pith_number":"pith:3KYDN5G3","canonical_record":{"source":{"id":"1212.6737","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-30T15:59:26Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"274dcb5fdac04f7a1a46594e9b99328f513d0f2dc6b2c69ca5756b6f10170f76","abstract_canon_sha256":"8765c09db7cf3c1b83e8f1f3923c5938b6a99c993ae8e7fe9e168884e5cb81a0"},"schema_version":"1.0"},"canonical_sha256":"dab036f4db118111a35cec1be90a0f3280d6eb91c826a697625dceb3c9b53680","source":{"kind":"arxiv","id":"1212.6737","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6737","created_at":"2026-05-18T03:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6737v4","created_at":"2026-05-18T03:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6737","created_at":"2026-05-18T03:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"3KYDN5G3CGAR","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3KYDN5G3CGARDI24","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3KYDN5G3","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:3KYDN5G3CGARDI245QN6SCQPGK","target":"record","payload":{"canonical_record":{"source":{"id":"1212.6737","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-30T15:59:26Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"274dcb5fdac04f7a1a46594e9b99328f513d0f2dc6b2c69ca5756b6f10170f76","abstract_canon_sha256":"8765c09db7cf3c1b83e8f1f3923c5938b6a99c993ae8e7fe9e168884e5cb81a0"},"schema_version":"1.0"},"canonical_sha256":"dab036f4db118111a35cec1be90a0f3280d6eb91c826a697625dceb3c9b53680","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:47.925801Z","signature_b64":"l5ovgaNV9kwaxTUoOxAzYn0thwcz5BmYaIj9wA5XaW2Vlf3FZTe2I9OJuP1HXZCScnErJINqgxa+qlFnunVwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dab036f4db118111a35cec1be90a0f3280d6eb91c826a697625dceb3c9b53680","last_reissued_at":"2026-05-18T03:10:47.924947Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:47.924947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.6737","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DDIoyLg/GwJTgqibfY9QhNYUUb/DzrprRu8aqPcEtT4FIy1KHx6Y6gAiDGWYgoflOr+cDwAAjbgy3MBpWuv2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:02:09.583598Z"},"content_sha256":"1799e6ac50b10790e742f56bf4eeeaabcd83418aba4caa42a1c8c255b14f1f65","schema_version":"1.0","event_id":"sha256:1799e6ac50b10790e742f56bf4eeeaabcd83418aba4caa42a1c8c255b14f1f65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:3KYDN5G3CGARDI245QN6SCQPGK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structure of infinity in cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Spiros Cotsakis","submitted_at":"2012-12-30T15:59:26Z","abstract_excerpt":"We discuss recent developments related to certain blow up methods suitable for the analysis of cosmological singularities and asymptotics. We review results obtained in a variety of currently popular themes and describe ongoing research about universes with various kinds of extreme states, higher order gravity, and certain models of braneworlds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6737","kind":"arxiv","version":4},"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":"2026-05-18T03:10:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ZH7n0mD9i/Es8vW0L+jjb+CGIwIrB50at+JyVwVsvBRq7EcTbM9YyVlSHlkxjIhhqWVUK9bQXjo60ICD0ikAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T05:02:09.584295Z"},"content_sha256":"75ae8820c63be3d4d96a7ea9b3b773f927fb6dc2b3c32c4ed9a3e1028f04a648","schema_version":"1.0","event_id":"sha256:75ae8820c63be3d4d96a7ea9b3b773f927fb6dc2b3c32c4ed9a3e1028f04a648"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3KYDN5G3CGARDI245QN6SCQPGK/bundle.json","state_url":"https://pith.science/pith/3KYDN5G3CGARDI245QN6SCQPGK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3KYDN5G3CGARDI245QN6SCQPGK/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":"2026-06-11T05:02:09Z","links":{"resolver":"https://pith.science/pith/3KYDN5G3CGARDI245QN6SCQPGK","bundle":"https://pith.science/pith/3KYDN5G3CGARDI245QN6SCQPGK/bundle.json","state":"https://pith.science/pith/3KYDN5G3CGARDI245QN6SCQPGK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3KYDN5G3CGARDI245QN6SCQPGK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:3KYDN5G3CGARDI245QN6SCQPGK","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":"8765c09db7cf3c1b83e8f1f3923c5938b6a99c993ae8e7fe9e168884e5cb81a0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-30T15:59:26Z","title_canon_sha256":"274dcb5fdac04f7a1a46594e9b99328f513d0f2dc6b2c69ca5756b6f10170f76"},"schema_version":"1.0","source":{"id":"1212.6737","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6737","created_at":"2026-05-18T03:10:47Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6737v4","created_at":"2026-05-18T03:10:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6737","created_at":"2026-05-18T03:10:47Z"},{"alias_kind":"pith_short_12","alias_value":"3KYDN5G3CGAR","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"3KYDN5G3CGARDI24","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"3KYDN5G3","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:75ae8820c63be3d4d96a7ea9b3b773f927fb6dc2b3c32c4ed9a3e1028f04a648","target":"graph","created_at":"2026-05-18T03:10:47Z","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 recent developments related to certain blow up methods suitable for the analysis of cosmological singularities and asymptotics. We review results obtained in a variety of currently popular themes and describe ongoing research about universes with various kinds of extreme states, higher order gravity, and certain models of braneworlds.","authors_text":"Spiros Cotsakis","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-30T15:59:26Z","title":"Structure of infinity in cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6737","kind":"arxiv","version":4},"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":"sha256:1799e6ac50b10790e742f56bf4eeeaabcd83418aba4caa42a1c8c255b14f1f65","target":"record","created_at":"2026-05-18T03:10:47Z","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":"8765c09db7cf3c1b83e8f1f3923c5938b6a99c993ae8e7fe9e168884e5cb81a0","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-30T15:59:26Z","title_canon_sha256":"274dcb5fdac04f7a1a46594e9b99328f513d0f2dc6b2c69ca5756b6f10170f76"},"schema_version":"1.0","source":{"id":"1212.6737","kind":"arxiv","version":4}},"canonical_sha256":"dab036f4db118111a35cec1be90a0f3280d6eb91c826a697625dceb3c9b53680","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dab036f4db118111a35cec1be90a0f3280d6eb91c826a697625dceb3c9b53680","first_computed_at":"2026-05-18T03:10:47.924947Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:47.924947Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l5ovgaNV9kwaxTUoOxAzYn0thwcz5BmYaIj9wA5XaW2Vlf3FZTe2I9OJuP1HXZCScnErJINqgxa+qlFnunVwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:47.925801Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6737","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1799e6ac50b10790e742f56bf4eeeaabcd83418aba4caa42a1c8c255b14f1f65","sha256:75ae8820c63be3d4d96a7ea9b3b773f927fb6dc2b3c32c4ed9a3e1028f04a648"],"state_sha256":"7a914fbea6c7bdebac72b347e13bd51bf352c54b60712790180d7643047477c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v++Vr9HnZYrmUfauB6q/JOaly5oqrFVlawjK0xV4ZVLsVChdqkQ0Ni/Pzzi5FfTOEvDzl0ITbbqCWOuX5rPFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T05:02:09.587893Z","bundle_sha256":"f43aba601ef9b7699ffbc0e078d6509e81500eca805781fd10dc2b921717aa21"}}