{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WOVHDONUVYHC367JT2PJWXJL3J","short_pith_number":"pith:WOVHDONU","canonical_record":{"source":{"id":"1512.01312","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-04T04:14:34Z","cross_cats_sorted":[],"title_canon_sha256":"b50dfd6d7ae4da18443f4c1f4f354efc575b377b1a5f812b76235a328ad280c7","abstract_canon_sha256":"7453b00a59c4edc0338621a1a3cd8cefa03de40ddaf4486f4910ec9c430651c8"},"schema_version":"1.0"},"canonical_sha256":"b3aa71b9b4ae0e2dfbe99e9e9b5d2bda627e7d0a3098103744ba8512db79e3d3","source":{"kind":"arxiv","id":"1512.01312","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01312","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01312v2","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01312","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"pith_short_12","alias_value":"WOVHDONUVYHC","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WOVHDONUVYHC367J","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WOVHDONU","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WOVHDONUVYHC367JT2PJWXJL3J","target":"record","payload":{"canonical_record":{"source":{"id":"1512.01312","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-04T04:14:34Z","cross_cats_sorted":[],"title_canon_sha256":"b50dfd6d7ae4da18443f4c1f4f354efc575b377b1a5f812b76235a328ad280c7","abstract_canon_sha256":"7453b00a59c4edc0338621a1a3cd8cefa03de40ddaf4486f4910ec9c430651c8"},"schema_version":"1.0"},"canonical_sha256":"b3aa71b9b4ae0e2dfbe99e9e9b5d2bda627e7d0a3098103744ba8512db79e3d3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:26.268684Z","signature_b64":"i2U6rjhWMLIkfMTfSxdiO5oSnWwUFqHw1UaDROR7O9vKW9bc6TDk7dpTM4/C6YVHOnoABkRo6izNKOfj2IG1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b3aa71b9b4ae0e2dfbe99e9e9b5d2bda627e7d0a3098103744ba8512db79e3d3","last_reissued_at":"2026-05-18T00:59:26.268049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:26.268049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.01312","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:59:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ckuKf6XP4zGkb973hzoKBXtPn5ZJOVWr+ZfQr3Ayo5Q/JxoSOq+sU5O0M9qMxanxYh+g4CrhjPXvil4EMtTIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T23:52:29.511538Z"},"content_sha256":"221c31559636b6555c21583c14023d44c8a6e88d08ae0715efba8eab0d76ff33","schema_version":"1.0","event_id":"sha256:221c31559636b6555c21583c14023d44c8a6e88d08ae0715efba8eab0d76ff33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WOVHDONUVYHC367JT2PJWXJL3J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On improving analytical models of cosmic reionization for matching numerical simulation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alexander A. Kaurov","submitted_at":"2015-12-04T04:14:34Z","abstract_excerpt":"The methods for studying the epoch of cosmic reionization vary from full radiative transfer simulations to purely analytical models. While numerical approaches are computationally expensive and are not suitable for generating many mock catalogs, analytical methods are based on assumptions and approximations. We explore the interconnection between both methods. First, we ask how the analytical framework of excursion set formalism can be used for statistical analysis of numerical simulations and visual representation of the morphology of ionization fronts. Second, we explore the methods of train"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01312","kind":"arxiv","version":2},"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":"2026-05-18T00:59:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cxsfpFsuNAvrKumlbT0lS5GEcF6j1kHApNgkx3YtZTOK2o45XYQaBA/SJxnJRplkJMleUBKCmf0u07Xl/J1BAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T23:52:29.512030Z"},"content_sha256":"8afd59681b982d561302355810d8908e7f0b8a172b7669c473d49d765e794c4c","schema_version":"1.0","event_id":"sha256:8afd59681b982d561302355810d8908e7f0b8a172b7669c473d49d765e794c4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WOVHDONUVYHC367JT2PJWXJL3J/bundle.json","state_url":"https://pith.science/pith/WOVHDONUVYHC367JT2PJWXJL3J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WOVHDONUVYHC367JT2PJWXJL3J/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":"2026-08-14T23:52:29Z","links":{"resolver":"https://pith.science/pith/WOVHDONUVYHC367JT2PJWXJL3J","bundle":"https://pith.science/pith/WOVHDONUVYHC367JT2PJWXJL3J/bundle.json","state":"https://pith.science/pith/WOVHDONUVYHC367JT2PJWXJL3J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WOVHDONUVYHC367JT2PJWXJL3J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WOVHDONUVYHC367JT2PJWXJL3J","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":"7453b00a59c4edc0338621a1a3cd8cefa03de40ddaf4486f4910ec9c430651c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-04T04:14:34Z","title_canon_sha256":"b50dfd6d7ae4da18443f4c1f4f354efc575b377b1a5f812b76235a328ad280c7"},"schema_version":"1.0","source":{"id":"1512.01312","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.01312","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"arxiv_version","alias_value":"1512.01312v2","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.01312","created_at":"2026-05-18T00:59:26Z"},{"alias_kind":"pith_short_12","alias_value":"WOVHDONUVYHC","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WOVHDONUVYHC367J","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WOVHDONU","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:8afd59681b982d561302355810d8908e7f0b8a172b7669c473d49d765e794c4c","target":"graph","created_at":"2026-05-18T00:59:26Z","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":"The methods for studying the epoch of cosmic reionization vary from full radiative transfer simulations to purely analytical models. While numerical approaches are computationally expensive and are not suitable for generating many mock catalogs, analytical methods are based on assumptions and approximations. We explore the interconnection between both methods. First, we ask how the analytical framework of excursion set formalism can be used for statistical analysis of numerical simulations and visual representation of the morphology of ionization fronts. Second, we explore the methods of train","authors_text":"Alexander A. Kaurov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-04T04:14:34Z","title":"On improving analytical models of cosmic reionization for matching numerical simulation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.01312","kind":"arxiv","version":2},"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":"sha256:221c31559636b6555c21583c14023d44c8a6e88d08ae0715efba8eab0d76ff33","target":"record","created_at":"2026-05-18T00:59:26Z","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":"7453b00a59c4edc0338621a1a3cd8cefa03de40ddaf4486f4910ec9c430651c8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2015-12-04T04:14:34Z","title_canon_sha256":"b50dfd6d7ae4da18443f4c1f4f354efc575b377b1a5f812b76235a328ad280c7"},"schema_version":"1.0","source":{"id":"1512.01312","kind":"arxiv","version":2}},"canonical_sha256":"b3aa71b9b4ae0e2dfbe99e9e9b5d2bda627e7d0a3098103744ba8512db79e3d3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b3aa71b9b4ae0e2dfbe99e9e9b5d2bda627e7d0a3098103744ba8512db79e3d3","first_computed_at":"2026-05-18T00:59:26.268049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:26.268049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i2U6rjhWMLIkfMTfSxdiO5oSnWwUFqHw1UaDROR7O9vKW9bc6TDk7dpTM4/C6YVHOnoABkRo6izNKOfj2IG1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:26.268684Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.01312","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:221c31559636b6555c21583c14023d44c8a6e88d08ae0715efba8eab0d76ff33","sha256:8afd59681b982d561302355810d8908e7f0b8a172b7669c473d49d765e794c4c"],"state_sha256":"4844f6105c7c46107e2644df132b8fb8985c8b16baa3d3b7a29f53528a4f8ddb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ez0Oi05Iujn4KTVgyqX6QD1BCGwaYg1lsmDstGw/X5FPaFQNDNgqqTkJyUT1LgfLBAk5MrS4SWRwR87GolPvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T23:52:29.515754Z","bundle_sha256":"b2d11dd9d4c5e97553612e36842d9d06ebd0bb2f793e6f4cd216a7c92b022973"}}