{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:3VICUENQ2N5QMVCKMMSH3XZQQP","short_pith_number":"pith:3VICUENQ","canonical_record":{"source":{"id":"0909.0513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-09-02T20:12:20Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"e2837839cf880b4d77994f2e09b6df4777f134d00db2d9c00124493d58f61cc9","abstract_canon_sha256":"509aaf378717dfa412d5b136e4784b85968fe8f4827d86fe3f2ef58513b7c7c0"},"schema_version":"1.0"},"canonical_sha256":"dd502a11b0d37b06544a63247ddf3083ccfac00360b44adcecfafbbca8c440d9","source":{"kind":"arxiv","id":"0909.0513","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.0513","created_at":"2026-05-18T04:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"0909.0513v2","created_at":"2026-05-18T04:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.0513","created_at":"2026-05-18T04:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"3VICUENQ2N5Q","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3VICUENQ2N5QMVCK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3VICUENQ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:3VICUENQ2N5QMVCKMMSH3XZQQP","target":"record","payload":{"canonical_record":{"source":{"id":"0909.0513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-09-02T20:12:20Z","cross_cats_sorted":["astro-ph.IM"],"title_canon_sha256":"e2837839cf880b4d77994f2e09b6df4777f134d00db2d9c00124493d58f61cc9","abstract_canon_sha256":"509aaf378717dfa412d5b136e4784b85968fe8f4827d86fe3f2ef58513b7c7c0"},"schema_version":"1.0"},"canonical_sha256":"dd502a11b0d37b06544a63247ddf3083ccfac00360b44adcecfafbbca8c440d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:51.373154Z","signature_b64":"ASEv3ogp3trM1bnN7mdbEh/JXbegdTGELgA41P9L+kyUMTjMiwRJ217loDJanhPjfHwCrtSsUqRIFIpuUO2UCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dd502a11b0d37b06544a63247ddf3083ccfac00360b44adcecfafbbca8c440d9","last_reissued_at":"2026-05-18T04:20:51.372366Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:51.372366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.0513","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":"2026-05-18T04:20:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VP6uRQPStnoQCv/5REWPKPoy7RIN26NN3PrT2i/1TmN36wZv2RRhb6mHYqPyZ/IQYtXE5tUsqPiRKzm5Iy5BBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T08:11:40.828371Z"},"content_sha256":"66b4631af2ebbb2b80f8aa0564bcbb0e71a8c3f6032e6fc6faa26a84e56d2beb","schema_version":"1.0","event_id":"sha256:66b4631af2ebbb2b80f8aa0564bcbb0e71a8c3f6032e6fc6faa26a84e56d2beb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:3VICUENQ2N5QMVCKMMSH3XZQQP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computational Eulerian Hydrodynamics and Galilean Invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.IM"],"primary_cat":"astro-ph.CO","authors_text":"2), (2) EFI, 3), (3) FNAL, (4) KIPAC/Stanford, (5) IAS), Andrey V. Kravtsov (1, Brant E. Robertson (1, Douglas H. Rudd (5) ((1) KICP/UChicago, Nickolay Y. Gnedin (1, Tom Abel (4)","submitted_at":"2009-09-02T20:12:20Z","abstract_excerpt":"Eulerian hydrodynamical simulations are a powerful and popular tool for modeling fluids in astrophysical systems. In this work, we critically examine recent claims that these methods violate Galilean invariance of the Euler equations. We demonstrate that Eulerian hydrodynamics methods do converge to a Galilean-invariant solution, provided a well-defined convergent solution exists. Specifically, we show that numerical diffusion, resulting from diffusion-like terms in the discretized hydrodynamical equations solved by Eulerian methods, accounts for the effects previously identified as evidence f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0513","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":"2026-05-18T04:20:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CjsNLEMy6/SXhK1DB1mjmNfPhNVADhiHMb5MV06GsGGAoJYXGlwsks5MAHqHhSGmk08QyzUKzEpcJ1zi2TYmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T08:11:40.828801Z"},"content_sha256":"3d8bb7cca4e2753f66450295f1e39af70335fa694ff2d57d718e4d1ff2668cc1","schema_version":"1.0","event_id":"sha256:3d8bb7cca4e2753f66450295f1e39af70335fa694ff2d57d718e4d1ff2668cc1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3VICUENQ2N5QMVCKMMSH3XZQQP/bundle.json","state_url":"https://pith.science/pith/3VICUENQ2N5QMVCKMMSH3XZQQP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3VICUENQ2N5QMVCKMMSH3XZQQP/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":"2026-05-19T08:11:40Z","links":{"resolver":"https://pith.science/pith/3VICUENQ2N5QMVCKMMSH3XZQQP","bundle":"https://pith.science/pith/3VICUENQ2N5QMVCKMMSH3XZQQP/bundle.json","state":"https://pith.science/pith/3VICUENQ2N5QMVCKMMSH3XZQQP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3VICUENQ2N5QMVCKMMSH3XZQQP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3VICUENQ2N5QMVCKMMSH3XZQQP","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":"509aaf378717dfa412d5b136e4784b85968fe8f4827d86fe3f2ef58513b7c7c0","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-09-02T20:12:20Z","title_canon_sha256":"e2837839cf880b4d77994f2e09b6df4777f134d00db2d9c00124493d58f61cc9"},"schema_version":"1.0","source":{"id":"0909.0513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.0513","created_at":"2026-05-18T04:20:51Z"},{"alias_kind":"arxiv_version","alias_value":"0909.0513v2","created_at":"2026-05-18T04:20:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.0513","created_at":"2026-05-18T04:20:51Z"},{"alias_kind":"pith_short_12","alias_value":"3VICUENQ2N5Q","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3VICUENQ2N5QMVCK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3VICUENQ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:3d8bb7cca4e2753f66450295f1e39af70335fa694ff2d57d718e4d1ff2668cc1","target":"graph","created_at":"2026-05-18T04:20:51Z","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":"Eulerian hydrodynamical simulations are a powerful and popular tool for modeling fluids in astrophysical systems. In this work, we critically examine recent claims that these methods violate Galilean invariance of the Euler equations. We demonstrate that Eulerian hydrodynamics methods do converge to a Galilean-invariant solution, provided a well-defined convergent solution exists. Specifically, we show that numerical diffusion, resulting from diffusion-like terms in the discretized hydrodynamical equations solved by Eulerian methods, accounts for the effects previously identified as evidence f","authors_text":"2), (2) EFI, 3), (3) FNAL, (4) KIPAC/Stanford, (5) IAS), Andrey V. Kravtsov (1, Brant E. Robertson (1, Douglas H. Rudd (5) ((1) KICP/UChicago, Nickolay Y. Gnedin (1, Tom Abel (4)","cross_cats":["astro-ph.IM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-09-02T20:12:20Z","title":"Computational Eulerian Hydrodynamics and Galilean Invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.0513","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":"sha256:66b4631af2ebbb2b80f8aa0564bcbb0e71a8c3f6032e6fc6faa26a84e56d2beb","target":"record","created_at":"2026-05-18T04:20:51Z","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":"509aaf378717dfa412d5b136e4784b85968fe8f4827d86fe3f2ef58513b7c7c0","cross_cats_sorted":["astro-ph.IM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-09-02T20:12:20Z","title_canon_sha256":"e2837839cf880b4d77994f2e09b6df4777f134d00db2d9c00124493d58f61cc9"},"schema_version":"1.0","source":{"id":"0909.0513","kind":"arxiv","version":2}},"canonical_sha256":"dd502a11b0d37b06544a63247ddf3083ccfac00360b44adcecfafbbca8c440d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd502a11b0d37b06544a63247ddf3083ccfac00360b44adcecfafbbca8c440d9","first_computed_at":"2026-05-18T04:20:51.372366Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:20:51.372366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ASEv3ogp3trM1bnN7mdbEh/JXbegdTGELgA41P9L+kyUMTjMiwRJ217loDJanhPjfHwCrtSsUqRIFIpuUO2UCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:20:51.373154Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.0513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66b4631af2ebbb2b80f8aa0564bcbb0e71a8c3f6032e6fc6faa26a84e56d2beb","sha256:3d8bb7cca4e2753f66450295f1e39af70335fa694ff2d57d718e4d1ff2668cc1"],"state_sha256":"03028f888d5f11c7250dd122a503181dfec41b9ba1a218e462f54cf6bd56ceaf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P+cVq8AfVXHhcXYXHs3umGW1mOy6E8xckmoi+AFV9AVVwlWxa0C8YLXkL81BRGelRarKXs/CcuBLFQX0t9qbCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T08:11:40.832767Z","bundle_sha256":"0bacba552104031c84a3cdfaa2d09e2b2344d94db70d5f9a0d74244d32dfb067"}}