{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PPLEFG56NMAJKRU5HXEYO5OZ2K","short_pith_number":"pith:PPLEFG56","canonical_record":{"source":{"id":"1501.01923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-01-08T18:51:06Z","cross_cats_sorted":[],"title_canon_sha256":"ab42b123594900bd94d9bce50a7ea9670e3f2cd1ca9166859faa4306ed467886","abstract_canon_sha256":"7505dedc719261e3319e8cd409ea58c54aab45423a08902173a4b33897015a94"},"schema_version":"1.0"},"canonical_sha256":"7bd6429bbe6b0095469d3dc98775d9d2b5334de7ade9503053ed5161332fa145","source":{"kind":"arxiv","id":"1501.01923","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01923","created_at":"2026-05-18T01:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01923v1","created_at":"2026-05-18T01:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01923","created_at":"2026-05-18T01:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"PPLEFG56NMAJ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PPLEFG56NMAJKRU5","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PPLEFG56","created_at":"2026-05-18T12:29:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PPLEFG56NMAJKRU5HXEYO5OZ2K","target":"record","payload":{"canonical_record":{"source":{"id":"1501.01923","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-01-08T18:51:06Z","cross_cats_sorted":[],"title_canon_sha256":"ab42b123594900bd94d9bce50a7ea9670e3f2cd1ca9166859faa4306ed467886","abstract_canon_sha256":"7505dedc719261e3319e8cd409ea58c54aab45423a08902173a4b33897015a94"},"schema_version":"1.0"},"canonical_sha256":"7bd6429bbe6b0095469d3dc98775d9d2b5334de7ade9503053ed5161332fa145","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:13.746854Z","signature_b64":"r7yb9DN14nGzT0vxcdSEjZ/9xrXe5MUnucpX6+axn+HTzebnt22dPSi6Vue1e3JIpD5oPaZ5Xv6/WASM9ulcCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bd6429bbe6b0095469d3dc98775d9d2b5334de7ade9503053ed5161332fa145","last_reissued_at":"2026-05-18T01:41:13.746449Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:13.746449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.01923","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":"2026-05-18T01:41:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1JiN6VCExayEaNfb4+faY/37bnaZ9c+RGrLmIEVcJItLS8QwkpLwEjKpa39+IHlAY7aR+XNx1u8fMBNJ3o7dCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:20:24.985147Z"},"content_sha256":"de2e0f66beb6c64b6064028178183dc1b0b219bfee361a47c161db056f793f3d","schema_version":"1.0","event_id":"sha256:de2e0f66beb6c64b6064028178183dc1b0b219bfee361a47c161db056f793f3d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PPLEFG56NMAJKRU5HXEYO5OZ2K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Piecewise Parabolic Method for Compressible Flow with Stellar Equations of State","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"M. P. Katz, M. Zingale","submitted_at":"2015-01-08T18:51:06Z","abstract_excerpt":"The piecewise parabolic method and related schemes are widely used to model stellar flows. Several different methods for extending the validity of these methods to a general equation of state have been proposed over time, but direct comparisons amongst one-another and exact solutions with stellar equations of state are not widely available. We introduce some simple test problems with exact solutions run with a popular stellar equation of state and test how two existing codes with different approaches to incorporating general gases perform. The source code for generating the exact solutions is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01923","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":"2026-05-18T01:41:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vGDTOk6f8+N5SQB+DgMubCozRGfN0ggvuT3lrrl9hQuCFtjGV7ni3jnyhfyjLWWF9qfvxwuTXe8rVW7AvJOIBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T17:20:24.985526Z"},"content_sha256":"3abf419462023a186464368ba25a1686aa0c1ba34c2ddf6c0d2d994de3eb65a3","schema_version":"1.0","event_id":"sha256:3abf419462023a186464368ba25a1686aa0c1ba34c2ddf6c0d2d994de3eb65a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PPLEFG56NMAJKRU5HXEYO5OZ2K/bundle.json","state_url":"https://pith.science/pith/PPLEFG56NMAJKRU5HXEYO5OZ2K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PPLEFG56NMAJKRU5HXEYO5OZ2K/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":"2026-06-03T17:20:24Z","links":{"resolver":"https://pith.science/pith/PPLEFG56NMAJKRU5HXEYO5OZ2K","bundle":"https://pith.science/pith/PPLEFG56NMAJKRU5HXEYO5OZ2K/bundle.json","state":"https://pith.science/pith/PPLEFG56NMAJKRU5HXEYO5OZ2K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PPLEFG56NMAJKRU5HXEYO5OZ2K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PPLEFG56NMAJKRU5HXEYO5OZ2K","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":"7505dedc719261e3319e8cd409ea58c54aab45423a08902173a4b33897015a94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-01-08T18:51:06Z","title_canon_sha256":"ab42b123594900bd94d9bce50a7ea9670e3f2cd1ca9166859faa4306ed467886"},"schema_version":"1.0","source":{"id":"1501.01923","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.01923","created_at":"2026-05-18T01:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"1501.01923v1","created_at":"2026-05-18T01:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.01923","created_at":"2026-05-18T01:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"PPLEFG56NMAJ","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_16","alias_value":"PPLEFG56NMAJKRU5","created_at":"2026-05-18T12:29:37Z"},{"alias_kind":"pith_short_8","alias_value":"PPLEFG56","created_at":"2026-05-18T12:29:37Z"}],"graph_snapshots":[{"event_id":"sha256:3abf419462023a186464368ba25a1686aa0c1ba34c2ddf6c0d2d994de3eb65a3","target":"graph","created_at":"2026-05-18T01:41:13Z","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 piecewise parabolic method and related schemes are widely used to model stellar flows. Several different methods for extending the validity of these methods to a general equation of state have been proposed over time, but direct comparisons amongst one-another and exact solutions with stellar equations of state are not widely available. We introduce some simple test problems with exact solutions run with a popular stellar equation of state and test how two existing codes with different approaches to incorporating general gases perform. The source code for generating the exact solutions is ","authors_text":"M. P. Katz, M. Zingale","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-01-08T18:51:06Z","title":"On the Piecewise Parabolic Method for Compressible Flow with Stellar Equations of State"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.01923","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:de2e0f66beb6c64b6064028178183dc1b0b219bfee361a47c161db056f793f3d","target":"record","created_at":"2026-05-18T01:41:13Z","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":"7505dedc719261e3319e8cd409ea58c54aab45423a08902173a4b33897015a94","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2015-01-08T18:51:06Z","title_canon_sha256":"ab42b123594900bd94d9bce50a7ea9670e3f2cd1ca9166859faa4306ed467886"},"schema_version":"1.0","source":{"id":"1501.01923","kind":"arxiv","version":1}},"canonical_sha256":"7bd6429bbe6b0095469d3dc98775d9d2b5334de7ade9503053ed5161332fa145","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bd6429bbe6b0095469d3dc98775d9d2b5334de7ade9503053ed5161332fa145","first_computed_at":"2026-05-18T01:41:13.746449Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:13.746449Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"r7yb9DN14nGzT0vxcdSEjZ/9xrXe5MUnucpX6+axn+HTzebnt22dPSi6Vue1e3JIpD5oPaZ5Xv6/WASM9ulcCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:13.746854Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.01923","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de2e0f66beb6c64b6064028178183dc1b0b219bfee361a47c161db056f793f3d","sha256:3abf419462023a186464368ba25a1686aa0c1ba34c2ddf6c0d2d994de3eb65a3"],"state_sha256":"b5d0a55edec6c65168a15a0742d1036336eb5b6d99b041fcd12d084ba29f2e76"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kgf+jZSt+rObxipsWk/Nni05eEtzFlGIInaQXBdX9FKwo9jWpzpBJ7sfpXEo6DROXVdbJx1w2bxfzv9UIQVLBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T17:20:24.987503Z","bundle_sha256":"7e4d6bb93c9d6428754f233d38cbe73666a1c5df33ee6c1ae4ba4539f2f99fb4"}}