{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:GTTI42SPWQXKR7VLSK644Y46VA","short_pith_number":"pith:GTTI42SP","canonical_record":{"source":{"id":"1006.4309","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-06-22T15:12:35Z","cross_cats_sorted":[],"title_canon_sha256":"1b8443dd13f92c1a8049cf7ba0a2e2fdb757dbc60960a9a2551bf1d255acb3ea","abstract_canon_sha256":"92e92ecfeef224d25284ebd18ddfc34f55f591a094428378e2b182127f7b7886"},"schema_version":"1.0"},"canonical_sha256":"34e68e6a4fb42ea8feab92bdce639ea838988f7695f9cc85b30b06a1052dbf5f","source":{"kind":"arxiv","id":"1006.4309","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4309","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4309v2","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4309","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"GTTI42SPWQXK","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GTTI42SPWQXKR7VL","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GTTI42SP","created_at":"2026-05-18T12:26:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:GTTI42SPWQXKR7VLSK644Y46VA","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4309","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-06-22T15:12:35Z","cross_cats_sorted":[],"title_canon_sha256":"1b8443dd13f92c1a8049cf7ba0a2e2fdb757dbc60960a9a2551bf1d255acb3ea","abstract_canon_sha256":"92e92ecfeef224d25284ebd18ddfc34f55f591a094428378e2b182127f7b7886"},"schema_version":"1.0"},"canonical_sha256":"34e68e6a4fb42ea8feab92bdce639ea838988f7695f9cc85b30b06a1052dbf5f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:43.654701Z","signature_b64":"HGbldQedBiqqn8b1WzDonFYz8DnpZ1w9z/3ojd39kdbBgZ2bK6XopLefuRNTBvUU856RgNPw+66pd9kHzRdbAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"34e68e6a4fb42ea8feab92bdce639ea838988f7695f9cc85b30b06a1052dbf5f","last_reissued_at":"2026-05-18T02:06:43.654004Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:43.654004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4309","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":"2026-05-18T02:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b3FaiZFQdjUMK4Q8brM6/ovw/Q8QKStS4yySGEbhCsAsV+Xgf3nZ+VOWFj2X0W9K/3lAUAz3zcnRbbp15K4BBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:09:37.478771Z"},"content_sha256":"f2f743dd2dbf28f34eec75a61ffeaeb8b52f868879da2adfd28b7153151b65ab","schema_version":"1.0","event_id":"sha256:f2f743dd2dbf28f34eec75a61ffeaeb8b52f868879da2adfd28b7153151b65ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:GTTI42SPWQXKR7VLSK644Y46VA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relativistic slim disks with vertical structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Agata Rozanska, Aleksander Sadowski, Jean-Pierre Lasota, Marek Abramowicz, Michal Bursa, Wlodek Kluzniak","submitted_at":"2010-06-22T15:12:35Z","abstract_excerpt":"We report on a scheme for incorporating vertical radiative energy transport into a fully relativistic, Kerr-metric model of optically thick, advective, transonic alpha disks. Our code couples the radial and vertical equations of the accretion disk. The flux was computed in the diffusion approximation, and convection is included in the mixing-length approximation. We present the detailed structure of this \"two-dimensional\" slim-disk model for alpha=0.01. We then calculated the emergent spectra integrated over the disk surface. The values of surface density, radial velocity, and the photospheric"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4309","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":"2026-05-18T02:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TNDzJZyaFf6ANbLi56pD9a3joX5DDC7376uwuTiTTX9qH0Xqd5kbjaIe+zHNinfcVmqgFCaXtJ9GbRtAeng7DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T22:09:37.479503Z"},"content_sha256":"238ece57b64637047a092d60682eca236a3ed09bc44f071cc355a44d9c91a08e","schema_version":"1.0","event_id":"sha256:238ece57b64637047a092d60682eca236a3ed09bc44f071cc355a44d9c91a08e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GTTI42SPWQXKR7VLSK644Y46VA/bundle.json","state_url":"https://pith.science/pith/GTTI42SPWQXKR7VLSK644Y46VA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GTTI42SPWQXKR7VLSK644Y46VA/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":"2026-06-07T22:09:37Z","links":{"resolver":"https://pith.science/pith/GTTI42SPWQXKR7VLSK644Y46VA","bundle":"https://pith.science/pith/GTTI42SPWQXKR7VLSK644Y46VA/bundle.json","state":"https://pith.science/pith/GTTI42SPWQXKR7VLSK644Y46VA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GTTI42SPWQXKR7VLSK644Y46VA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:GTTI42SPWQXKR7VLSK644Y46VA","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":"92e92ecfeef224d25284ebd18ddfc34f55f591a094428378e2b182127f7b7886","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-06-22T15:12:35Z","title_canon_sha256":"1b8443dd13f92c1a8049cf7ba0a2e2fdb757dbc60960a9a2551bf1d255acb3ea"},"schema_version":"1.0","source":{"id":"1006.4309","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4309","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4309v2","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4309","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"GTTI42SPWQXK","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_16","alias_value":"GTTI42SPWQXKR7VL","created_at":"2026-05-18T12:26:07Z"},{"alias_kind":"pith_short_8","alias_value":"GTTI42SP","created_at":"2026-05-18T12:26:07Z"}],"graph_snapshots":[{"event_id":"sha256:238ece57b64637047a092d60682eca236a3ed09bc44f071cc355a44d9c91a08e","target":"graph","created_at":"2026-05-18T02:06:43Z","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 report on a scheme for incorporating vertical radiative energy transport into a fully relativistic, Kerr-metric model of optically thick, advective, transonic alpha disks. Our code couples the radial and vertical equations of the accretion disk. The flux was computed in the diffusion approximation, and convection is included in the mixing-length approximation. We present the detailed structure of this \"two-dimensional\" slim-disk model for alpha=0.01. We then calculated the emergent spectra integrated over the disk surface. The values of surface density, radial velocity, and the photospheric","authors_text":"Agata Rozanska, Aleksander Sadowski, Jean-Pierre Lasota, Marek Abramowicz, Michal Bursa, Wlodek Kluzniak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-06-22T15:12:35Z","title":"Relativistic slim disks with vertical structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4309","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:f2f743dd2dbf28f34eec75a61ffeaeb8b52f868879da2adfd28b7153151b65ab","target":"record","created_at":"2026-05-18T02:06:43Z","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":"92e92ecfeef224d25284ebd18ddfc34f55f591a094428378e2b182127f7b7886","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2010-06-22T15:12:35Z","title_canon_sha256":"1b8443dd13f92c1a8049cf7ba0a2e2fdb757dbc60960a9a2551bf1d255acb3ea"},"schema_version":"1.0","source":{"id":"1006.4309","kind":"arxiv","version":2}},"canonical_sha256":"34e68e6a4fb42ea8feab92bdce639ea838988f7695f9cc85b30b06a1052dbf5f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"34e68e6a4fb42ea8feab92bdce639ea838988f7695f9cc85b30b06a1052dbf5f","first_computed_at":"2026-05-18T02:06:43.654004Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:43.654004Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HGbldQedBiqqn8b1WzDonFYz8DnpZ1w9z/3ojd39kdbBgZ2bK6XopLefuRNTBvUU856RgNPw+66pd9kHzRdbAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:43.654701Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4309","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2f743dd2dbf28f34eec75a61ffeaeb8b52f868879da2adfd28b7153151b65ab","sha256:238ece57b64637047a092d60682eca236a3ed09bc44f071cc355a44d9c91a08e"],"state_sha256":"62e8a886dafbdec488c6e5713d58227f864f9984823446fceff90d406d5dc698"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cNegP0yauB33t8uDLlB4g+V9p0tfLVybiULxZaPFGSwbCnQDfewYmQtlyuC2kZXqeft5JcxetVvZWxHkEREeDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T22:09:37.482968Z","bundle_sha256":"24da62b9ed0266bfd4ecd78c483b5c91d64bf8458d13c7521cde9f38c575c085"}}