{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:3BMXP4OR2XK55XVKCBYOST335E","short_pith_number":"pith:3BMXP4OR","canonical_record":{"source":{"id":"1106.2180","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-06-10T21:48:46Z","cross_cats_sorted":[],"title_canon_sha256":"e50ace163c4e3d2c4148424dc7894a62270773c49570bfbdc3dd764a9db7965d","abstract_canon_sha256":"40a08ad41df7b951a679ae1cf281470dfd8a980d1fbe2a68395ede28caf5c2e9"},"schema_version":"1.0"},"canonical_sha256":"d85977f1d1d5d5dedeaa1070e94f7be9047ef911b602178fbb90482e7aef629e","source":{"kind":"arxiv","id":"1106.2180","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2180","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2180v1","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2180","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"3BMXP4OR2XK5","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3BMXP4OR2XK55XVK","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3BMXP4OR","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:3BMXP4OR2XK55XVKCBYOST335E","target":"record","payload":{"canonical_record":{"source":{"id":"1106.2180","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-06-10T21:48:46Z","cross_cats_sorted":[],"title_canon_sha256":"e50ace163c4e3d2c4148424dc7894a62270773c49570bfbdc3dd764a9db7965d","abstract_canon_sha256":"40a08ad41df7b951a679ae1cf281470dfd8a980d1fbe2a68395ede28caf5c2e9"},"schema_version":"1.0"},"canonical_sha256":"d85977f1d1d5d5dedeaa1070e94f7be9047ef911b602178fbb90482e7aef629e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:06.292413Z","signature_b64":"eiM4jMrEh/P+xuqFzNc6ltp3i6g98AMRoxKGtVnQ88F1JbKxxkwO0igIOLHCGeYw35Ty2SyzgJ4heHYXncnyBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d85977f1d1d5d5dedeaa1070e94f7be9047ef911b602178fbb90482e7aef629e","last_reissued_at":"2026-05-18T04:20:06.291939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:06.291939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.2180","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":"2026-05-18T04:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HEEDEYg+OPtfiqyxUW7qSAUiNC56i99SqOVsvnOMOxJkyCLxnypvVf7SEg2BGNu6qQqHwZyOgQDNQzWfb31Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:37:44.944817Z"},"content_sha256":"d4ed7b6da771b64db1b38bf7d4aba788e59053a1a4b05715fa498b4592200650","schema_version":"1.0","event_id":"sha256:d4ed7b6da771b64db1b38bf7d4aba788e59053a1a4b05715fa498b4592200650"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:3BMXP4OR2XK55XVKCBYOST335E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pakal: A Three-dimensional Model to Solve the Radiative Transfer Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Alejandro Lara, Caius L. Selhorst, J. E. Mendoza-Torres, Victor De la Luz","submitted_at":"2011-06-10T21:48:46Z","abstract_excerpt":"We present a new numerical model called \"Pakal\" intended to solve the radiative transfer equation in a three-dimensional (3D) geometry, using the approximation for a locally plane-parallel atmosphere. Pakal uses pre-calculated radial profiles of density and temperature (based on hydrostatic, hydrodynamic, or MHD models) to compute the emission from 3D source structures with high spatial resolution. Then, Pakal solves the radiative transfer equation in a set of (3D) ray paths, going from the source to the observer. Pakal uses a new algorithm to compute the radiative transfer equation by using a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2180","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":"2026-05-18T04:20:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xn0LQe8wonwAsWT5ooVMi737sYnsJBfRJ6lL1nsTWiz6cBwwO/xuk4h+KvJ92Sb/jrewx+LUlP4kVoOwchTfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:37:44.945155Z"},"content_sha256":"271feea0e7b99b994402f74bc2c5eb57a9eb92c523ba204fc65c3f3e0b71bd85","schema_version":"1.0","event_id":"sha256:271feea0e7b99b994402f74bc2c5eb57a9eb92c523ba204fc65c3f3e0b71bd85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3BMXP4OR2XK55XVKCBYOST335E/bundle.json","state_url":"https://pith.science/pith/3BMXP4OR2XK55XVKCBYOST335E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3BMXP4OR2XK55XVKCBYOST335E/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":"2026-06-02T15:37:44Z","links":{"resolver":"https://pith.science/pith/3BMXP4OR2XK55XVKCBYOST335E","bundle":"https://pith.science/pith/3BMXP4OR2XK55XVKCBYOST335E/bundle.json","state":"https://pith.science/pith/3BMXP4OR2XK55XVKCBYOST335E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3BMXP4OR2XK55XVKCBYOST335E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3BMXP4OR2XK55XVKCBYOST335E","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":"40a08ad41df7b951a679ae1cf281470dfd8a980d1fbe2a68395ede28caf5c2e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-06-10T21:48:46Z","title_canon_sha256":"e50ace163c4e3d2c4148424dc7894a62270773c49570bfbdc3dd764a9db7965d"},"schema_version":"1.0","source":{"id":"1106.2180","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.2180","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"arxiv_version","alias_value":"1106.2180v1","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2180","created_at":"2026-05-18T04:20:06Z"},{"alias_kind":"pith_short_12","alias_value":"3BMXP4OR2XK5","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3BMXP4OR2XK55XVK","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3BMXP4OR","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:271feea0e7b99b994402f74bc2c5eb57a9eb92c523ba204fc65c3f3e0b71bd85","target":"graph","created_at":"2026-05-18T04:20:06Z","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 present a new numerical model called \"Pakal\" intended to solve the radiative transfer equation in a three-dimensional (3D) geometry, using the approximation for a locally plane-parallel atmosphere. Pakal uses pre-calculated radial profiles of density and temperature (based on hydrostatic, hydrodynamic, or MHD models) to compute the emission from 3D source structures with high spatial resolution. Then, Pakal solves the radiative transfer equation in a set of (3D) ray paths, going from the source to the observer. Pakal uses a new algorithm to compute the radiative transfer equation by using a","authors_text":"Alejandro Lara, Caius L. Selhorst, J. E. Mendoza-Torres, Victor De la Luz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-06-10T21:48:46Z","title":"Pakal: A Three-dimensional Model to Solve the Radiative Transfer Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2180","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:d4ed7b6da771b64db1b38bf7d4aba788e59053a1a4b05715fa498b4592200650","target":"record","created_at":"2026-05-18T04:20:06Z","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":"40a08ad41df7b951a679ae1cf281470dfd8a980d1fbe2a68395ede28caf5c2e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2011-06-10T21:48:46Z","title_canon_sha256":"e50ace163c4e3d2c4148424dc7894a62270773c49570bfbdc3dd764a9db7965d"},"schema_version":"1.0","source":{"id":"1106.2180","kind":"arxiv","version":1}},"canonical_sha256":"d85977f1d1d5d5dedeaa1070e94f7be9047ef911b602178fbb90482e7aef629e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d85977f1d1d5d5dedeaa1070e94f7be9047ef911b602178fbb90482e7aef629e","first_computed_at":"2026-05-18T04:20:06.291939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:06.291939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eiM4jMrEh/P+xuqFzNc6ltp3i6g98AMRoxKGtVnQ88F1JbKxxkwO0igIOLHCGeYw35Ty2SyzgJ4heHYXncnyBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:06.292413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.2180","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4ed7b6da771b64db1b38bf7d4aba788e59053a1a4b05715fa498b4592200650","sha256:271feea0e7b99b994402f74bc2c5eb57a9eb92c523ba204fc65c3f3e0b71bd85"],"state_sha256":"f6e93c3f9092af53282b8ae93d3d8178c2c43377e0940aedd6e614d8d2e8c128"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dv+TbLf9wswi9oVBFcOsDV4KlWD5GtQFF90nhPsXobhcvEoLl/CgJVt547b3jrKTHkg8zuFgMyaDa1BwmAKvAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:37:44.947043Z","bundle_sha256":"69bc6b93dc9db2c268638bbebf1cac971c13fca9a78f877b817bc650518b5205"}}