{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:E6HMMDXU4R7QX6PZ7XGOW3EDBY","short_pith_number":"pith:E6HMMDXU","canonical_record":{"source":{"id":"1009.0875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-09-04T21:37:42Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"2131b7b67c8b84de02d019aa662ebe1b7c4f129d8dfb6f59e7afd3bead2c80fd","abstract_canon_sha256":"883b7d21756b9f64f0af9ec066f6bc5427be0e990257eacf19102458ddd7febd"},"schema_version":"1.0"},"canonical_sha256":"278ec60ef4e47f0bf9f9fdcceb6c830e04b9628aeaa952e1c80a42234f956561","source":{"kind":"arxiv","id":"1009.0875","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.0875","created_at":"2026-05-18T02:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1009.0875v1","created_at":"2026-05-18T02:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0875","created_at":"2026-05-18T02:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"E6HMMDXU4R7Q","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"E6HMMDXU4R7QX6PZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"E6HMMDXU","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:E6HMMDXU4R7QX6PZ7XGOW3EDBY","target":"record","payload":{"canonical_record":{"source":{"id":"1009.0875","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-09-04T21:37:42Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"2131b7b67c8b84de02d019aa662ebe1b7c4f129d8dfb6f59e7afd3bead2c80fd","abstract_canon_sha256":"883b7d21756b9f64f0af9ec066f6bc5427be0e990257eacf19102458ddd7febd"},"schema_version":"1.0"},"canonical_sha256":"278ec60ef4e47f0bf9f9fdcceb6c830e04b9628aeaa952e1c80a42234f956561","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:36.720845Z","signature_b64":"wghdZ6Ya4pEYMSz2o81rvWUepvV/iJ1YM+RVUjMx6BzLTDjIb3zsR6QoZkXe67DTw+19Qpi8Tkpin9K14YzABg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"278ec60ef4e47f0bf9f9fdcceb6c830e04b9628aeaa952e1c80a42234f956561","last_reissued_at":"2026-05-18T02:05:36.719548Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:36.719548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1009.0875","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":"2026-05-18T02:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xKuYVrhtNEs3y9Cov1u8IyAa/Sytdu3P76WSdu2TTc9Ff9z2V+ae9A7Oh7lBoACcqefzHEUItP4ogE8dzIqsBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:20:44.549264Z"},"content_sha256":"b69b3fbc62b69300cae192096b5af92bb86e0b06f95fbd620edefddf1218fb3c","schema_version":"1.0","event_id":"sha256:b69b3fbc62b69300cae192096b5af92bb86e0b06f95fbd620edefddf1218fb3c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:E6HMMDXU4R7QX6PZ7XGOW3EDBY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extending a Hybrid Godunov Method for Radiation Hydrodynamics to Multiple Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"physics.comp-ph","authors_text":"Michael D. Sekora","submitted_at":"2010-09-04T21:37:42Z","abstract_excerpt":"This paper presents a hybrid Godunov method for three-dimensional radiation hydrodynamics. The multidimensional technique outlined in this paper is an extension of the one-dimensional method that was developed by Sekora & Stone 2009, 2010. The earlier one-dimensional technique was shown to preserve certain asymptotic limits and be uniformly well behaved from the photon free streaming (hyperbolic) limit through the weak equilibrium diffusion (parabolic) limit and to the strong equilibrium diffusion (hyperbolic) limit. This paper gives the algorithmic details for constructing a multidimensional "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0875","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":"2026-05-18T02:05:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FifTp45hBUw8vDyB8RHq6rEAMiW7ElnPlcDPvovigDYos1e8QV1KEeAPRIFlbH0V1cMbv+cRWT4rf51Mk8i4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T09:20:44.549640Z"},"content_sha256":"21b6cae3ac1a9f25e5e85f85d774c8cac97aad69554920ddedc5b6d59fffc4ec","schema_version":"1.0","event_id":"sha256:21b6cae3ac1a9f25e5e85f85d774c8cac97aad69554920ddedc5b6d59fffc4ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/E6HMMDXU4R7QX6PZ7XGOW3EDBY/bundle.json","state_url":"https://pith.science/pith/E6HMMDXU4R7QX6PZ7XGOW3EDBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/E6HMMDXU4R7QX6PZ7XGOW3EDBY/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":"2026-07-05T09:20:44Z","links":{"resolver":"https://pith.science/pith/E6HMMDXU4R7QX6PZ7XGOW3EDBY","bundle":"https://pith.science/pith/E6HMMDXU4R7QX6PZ7XGOW3EDBY/bundle.json","state":"https://pith.science/pith/E6HMMDXU4R7QX6PZ7XGOW3EDBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/E6HMMDXU4R7QX6PZ7XGOW3EDBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:E6HMMDXU4R7QX6PZ7XGOW3EDBY","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":"883b7d21756b9f64f0af9ec066f6bc5427be0e990257eacf19102458ddd7febd","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-09-04T21:37:42Z","title_canon_sha256":"2131b7b67c8b84de02d019aa662ebe1b7c4f129d8dfb6f59e7afd3bead2c80fd"},"schema_version":"1.0","source":{"id":"1009.0875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1009.0875","created_at":"2026-05-18T02:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"1009.0875v1","created_at":"2026-05-18T02:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1009.0875","created_at":"2026-05-18T02:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"E6HMMDXU4R7Q","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"E6HMMDXU4R7QX6PZ","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"E6HMMDXU","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:21b6cae3ac1a9f25e5e85f85d774c8cac97aad69554920ddedc5b6d59fffc4ec","target":"graph","created_at":"2026-05-18T02:05:36Z","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":"This paper presents a hybrid Godunov method for three-dimensional radiation hydrodynamics. The multidimensional technique outlined in this paper is an extension of the one-dimensional method that was developed by Sekora & Stone 2009, 2010. The earlier one-dimensional technique was shown to preserve certain asymptotic limits and be uniformly well behaved from the photon free streaming (hyperbolic) limit through the weak equilibrium diffusion (parabolic) limit and to the strong equilibrium diffusion (hyperbolic) limit. This paper gives the algorithmic details for constructing a multidimensional ","authors_text":"Michael D. Sekora","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-09-04T21:37:42Z","title":"Extending a Hybrid Godunov Method for Radiation Hydrodynamics to Multiple Dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1009.0875","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:b69b3fbc62b69300cae192096b5af92bb86e0b06f95fbd620edefddf1218fb3c","target":"record","created_at":"2026-05-18T02:05:36Z","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":"883b7d21756b9f64f0af9ec066f6bc5427be0e990257eacf19102458ddd7febd","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2010-09-04T21:37:42Z","title_canon_sha256":"2131b7b67c8b84de02d019aa662ebe1b7c4f129d8dfb6f59e7afd3bead2c80fd"},"schema_version":"1.0","source":{"id":"1009.0875","kind":"arxiv","version":1}},"canonical_sha256":"278ec60ef4e47f0bf9f9fdcceb6c830e04b9628aeaa952e1c80a42234f956561","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"278ec60ef4e47f0bf9f9fdcceb6c830e04b9628aeaa952e1c80a42234f956561","first_computed_at":"2026-05-18T02:05:36.719548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:36.719548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wghdZ6Ya4pEYMSz2o81rvWUepvV/iJ1YM+RVUjMx6BzLTDjIb3zsR6QoZkXe67DTw+19Qpi8Tkpin9K14YzABg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:36.720845Z","signed_message":"canonical_sha256_bytes"},"source_id":"1009.0875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b69b3fbc62b69300cae192096b5af92bb86e0b06f95fbd620edefddf1218fb3c","sha256:21b6cae3ac1a9f25e5e85f85d774c8cac97aad69554920ddedc5b6d59fffc4ec"],"state_sha256":"066a36f36227cf03da894ddd71be38643f527fdad0c2220a2cc30a8a986767f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6p2822N6UI55Xmgpg80BJ4G5HLLk2xn9vWpI1FwkX3TkUKkJ8v6BWo96dwbscmDglUJTU85R/iw+aGZOrTH8Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T09:20:44.551569Z","bundle_sha256":"6e3fc774fdbc23d87a387772d708b45bd34cf53524cdfa57bc4a3863d5e2085c"}}