{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:IW6EJS2PKFHZ5GNPOVJR3G63PD","short_pith_number":"pith:IW6EJS2P","canonical_record":{"source":{"id":"1206.6759","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-28T16:42:46Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"2889c86e03b86161b8050e5e057aea3c25f7f604e43d0746fc113a22564c7a6b","abstract_canon_sha256":"71ba68f280d11d09416def0ddda71cc52087b2e32815349ed93452d07acf21a8"},"schema_version":"1.0"},"canonical_sha256":"45bc44cb4f514f9e99af75531d9bdb78f6e2a8c38a74ec5e9c10b62802e344f3","source":{"kind":"arxiv","id":"1206.6759","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6759","created_at":"2026-05-18T01:56:40Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6759v1","created_at":"2026-05-18T01:56:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6759","created_at":"2026-05-18T01:56:40Z"},{"alias_kind":"pith_short_12","alias_value":"IW6EJS2PKFHZ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IW6EJS2PKFHZ5GNP","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IW6EJS2P","created_at":"2026-05-18T12:27:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:IW6EJS2PKFHZ5GNPOVJR3G63PD","target":"record","payload":{"canonical_record":{"source":{"id":"1206.6759","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-28T16:42:46Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"2889c86e03b86161b8050e5e057aea3c25f7f604e43d0746fc113a22564c7a6b","abstract_canon_sha256":"71ba68f280d11d09416def0ddda71cc52087b2e32815349ed93452d07acf21a8"},"schema_version":"1.0"},"canonical_sha256":"45bc44cb4f514f9e99af75531d9bdb78f6e2a8c38a74ec5e9c10b62802e344f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:56:40.854439Z","signature_b64":"vzTigj2XTAsNGXhLKQK8jfrgSP5DM/j7Tu3PUICYegognrIxqR9hDQQ1MHI3WtuvBziQP4mjSc3MX8bdxSHdDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"45bc44cb4f514f9e99af75531d9bdb78f6e2a8c38a74ec5e9c10b62802e344f3","last_reissued_at":"2026-05-18T01:56:40.854059Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:56:40.854059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.6759","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":"2026-05-18T01:56:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nis24X+lTN0/r1Esp1J1EcjyjbXRRd8d5T9tLZoa5JVi/JQkOjMU/uuD3VkX6goGUz8OI+jQwL7mg8jEqcCCAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:53:31.543742Z"},"content_sha256":"bdf62c7252bea87b1169042b85146f5f55be6d5dbeeeba5350421866570f0404","schema_version":"1.0","event_id":"sha256:bdf62c7252bea87b1169042b85146f5f55be6d5dbeeeba5350421866570f0404"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:IW6EJS2PKFHZ5GNPOVJR3G63PD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The scattering of LyA radiation in the intergalactic medium: numerical methods and solutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"astro-ph.CO","authors_text":"Avery Meiksin (Institute for Astronomy, Jonathan Higgins, UK), University of Edinburgh","submitted_at":"2012-06-28T16:42:46Z","abstract_excerpt":"Two methods are developed for solving the steady-state spherically symmetric radiative transfer equation for resonance line radiation emitted by a point source in the Intergalactic Medium. One method is based on solving the ray and moment equations using finite differences. The second uses a Monte Carlo approach incorporating methods that greatly improve the accuracy compared with previous approaches in this context. Several applications are presented serving as test problems for both a static medium and an expanding medium, including inhomogeneities in the density and velocity fields. Solutio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6759","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":"2026-05-18T01:56:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+5QmKbvm6oEhY076poDG/Z7RWPYFmWrrWCR2Hr+c1eDNhk6lsU017uWsVVEhO5ui+JRNTLCJw+e6t5Dt64SwDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T03:53:31.544411Z"},"content_sha256":"da28c3d0c379a40a9185c454fcc8f86a2b50119a2682ec5f127cc8c8759c9612","schema_version":"1.0","event_id":"sha256:da28c3d0c379a40a9185c454fcc8f86a2b50119a2682ec5f127cc8c8759c9612"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IW6EJS2PKFHZ5GNPOVJR3G63PD/bundle.json","state_url":"https://pith.science/pith/IW6EJS2PKFHZ5GNPOVJR3G63PD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IW6EJS2PKFHZ5GNPOVJR3G63PD/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":"2026-05-27T03:53:31Z","links":{"resolver":"https://pith.science/pith/IW6EJS2PKFHZ5GNPOVJR3G63PD","bundle":"https://pith.science/pith/IW6EJS2PKFHZ5GNPOVJR3G63PD/bundle.json","state":"https://pith.science/pith/IW6EJS2PKFHZ5GNPOVJR3G63PD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IW6EJS2PKFHZ5GNPOVJR3G63PD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IW6EJS2PKFHZ5GNPOVJR3G63PD","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":"71ba68f280d11d09416def0ddda71cc52087b2e32815349ed93452d07acf21a8","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-28T16:42:46Z","title_canon_sha256":"2889c86e03b86161b8050e5e057aea3c25f7f604e43d0746fc113a22564c7a6b"},"schema_version":"1.0","source":{"id":"1206.6759","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.6759","created_at":"2026-05-18T01:56:40Z"},{"alias_kind":"arxiv_version","alias_value":"1206.6759v1","created_at":"2026-05-18T01:56:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.6759","created_at":"2026-05-18T01:56:40Z"},{"alias_kind":"pith_short_12","alias_value":"IW6EJS2PKFHZ","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IW6EJS2PKFHZ5GNP","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IW6EJS2P","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:da28c3d0c379a40a9185c454fcc8f86a2b50119a2682ec5f127cc8c8759c9612","target":"graph","created_at":"2026-05-18T01:56:40Z","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":"Two methods are developed for solving the steady-state spherically symmetric radiative transfer equation for resonance line radiation emitted by a point source in the Intergalactic Medium. One method is based on solving the ray and moment equations using finite differences. The second uses a Monte Carlo approach incorporating methods that greatly improve the accuracy compared with previous approaches in this context. Several applications are presented serving as test problems for both a static medium and an expanding medium, including inhomogeneities in the density and velocity fields. Solutio","authors_text":"Avery Meiksin (Institute for Astronomy, Jonathan Higgins, UK), University of Edinburgh","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-28T16:42:46Z","title":"The scattering of LyA radiation in the intergalactic medium: numerical methods and solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.6759","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:bdf62c7252bea87b1169042b85146f5f55be6d5dbeeeba5350421866570f0404","target":"record","created_at":"2026-05-18T01:56:40Z","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":"71ba68f280d11d09416def0ddda71cc52087b2e32815349ed93452d07acf21a8","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-06-28T16:42:46Z","title_canon_sha256":"2889c86e03b86161b8050e5e057aea3c25f7f604e43d0746fc113a22564c7a6b"},"schema_version":"1.0","source":{"id":"1206.6759","kind":"arxiv","version":1}},"canonical_sha256":"45bc44cb4f514f9e99af75531d9bdb78f6e2a8c38a74ec5e9c10b62802e344f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45bc44cb4f514f9e99af75531d9bdb78f6e2a8c38a74ec5e9c10b62802e344f3","first_computed_at":"2026-05-18T01:56:40.854059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:40.854059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vzTigj2XTAsNGXhLKQK8jfrgSP5DM/j7Tu3PUICYegognrIxqR9hDQQ1MHI3WtuvBziQP4mjSc3MX8bdxSHdDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:40.854439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.6759","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdf62c7252bea87b1169042b85146f5f55be6d5dbeeeba5350421866570f0404","sha256:da28c3d0c379a40a9185c454fcc8f86a2b50119a2682ec5f127cc8c8759c9612"],"state_sha256":"595e90c280bf2c0b662be139acb1d5034421ae32513d26665d32422ec1251690"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gzwvvxr0FhZrmYkk6sWcPEVfG0Is4GYgj49RfRR7en0mw8AnY602JTZWbruPazl5cIw0t8CtXKdjUGb47CvOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T03:53:31.547445Z","bundle_sha256":"dcd9be9c0435f072e884416620100055f3b805db5baeccc8120b8a6ec39ca98c"}}