{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:IBEKTZMAIUCSOF4IWGZUTLP36Z","short_pith_number":"pith:IBEKTZMA","canonical_record":{"source":{"id":"1708.06193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-21T12:54:05Z","cross_cats_sorted":[],"title_canon_sha256":"cbff054487003899b9edd6a7b230d99699a38edb5833c0166682cfca1b7fd23d","abstract_canon_sha256":"c3dec50303a74b135be43280dfa369e353482630c1d4f7f147d10caeeb336ebd"},"schema_version":"1.0"},"canonical_sha256":"4048a9e5804505271788b1b349adfbf676327bab76c5b015494f8a92faeccce1","source":{"kind":"arxiv","id":"1708.06193","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06193","created_at":"2026-05-18T00:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06193v1","created_at":"2026-05-18T00:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06193","created_at":"2026-05-18T00:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"IBEKTZMAIUCS","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IBEKTZMAIUCSOF4I","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IBEKTZMA","created_at":"2026-05-18T12:31:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:IBEKTZMAIUCSOF4IWGZUTLP36Z","target":"record","payload":{"canonical_record":{"source":{"id":"1708.06193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-21T12:54:05Z","cross_cats_sorted":[],"title_canon_sha256":"cbff054487003899b9edd6a7b230d99699a38edb5833c0166682cfca1b7fd23d","abstract_canon_sha256":"c3dec50303a74b135be43280dfa369e353482630c1d4f7f147d10caeeb336ebd"},"schema_version":"1.0"},"canonical_sha256":"4048a9e5804505271788b1b349adfbf676327bab76c5b015494f8a92faeccce1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:42.952542Z","signature_b64":"ZMUyYUkdjzLx0bV4AfY6O6JZPXrBRmM7ekhALYnRf35/h/duj+U17ZRTsCrA7fBqosiynHO1z6iblcyyQ4JoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4048a9e5804505271788b1b349adfbf676327bab76c5b015494f8a92faeccce1","last_reissued_at":"2026-05-18T00:37:42.951927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:42.951927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.06193","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":"2026-05-18T00:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vs5n8j19vaFpNYHssLlLEvqKfkRrJMc1II2liEdS8+DNsAmlpEwwgf2mlK/I0H4bGAgHi+nI7CSaej45WT1FAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:37:34.631924Z"},"content_sha256":"fa1aebc3f99330c101c6ffbb01ff268a1d3dee73af9336d48c8e5f59e624215c","schema_version":"1.0","event_id":"sha256:fa1aebc3f99330c101c6ffbb01ff268a1d3dee73af9336d48c8e5f59e624215c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:IBEKTZMAIUCSOF4IWGZUTLP36Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relaxation of Compressible Euler Flow in a Toroidal Domain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Naoki Sato, Robert L. Dewar","submitted_at":"2017-08-21T12:54:05Z","abstract_excerpt":"It is shown that the universal steady Euler flow field, independent of boundary shape or symmetry, in a toroidal domain with fixed boundary obeys a nonlinear Beltrami equation, with the nonlinearity arising from a Boltzmann-like, velocity-dependent factor. Moreover, this is a relaxed velocity field, in the sense that it extremizes the total kinetic energy in the domain under free variations of the velocity field, constrained only by tangential velocity and vorticity boundary conditions and conservation of total fluid helicity and entropy. This is analogous to Woltjer-Taylor relaxation of plasm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06193","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":"2026-05-18T00:37:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ldBhw3IiCVNY8kF3TrMVLGlFCtZqhlHNkWVgQ1szPXERDyR1IrU6jJeIub2Jxswtv0tCdGRR+d5ZsGoy7nxMBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T20:37:34.632256Z"},"content_sha256":"be07910a3fa22cc868313cb8b8e68729f9b72474d57cdee66721f52ec03363ee","schema_version":"1.0","event_id":"sha256:be07910a3fa22cc868313cb8b8e68729f9b72474d57cdee66721f52ec03363ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IBEKTZMAIUCSOF4IWGZUTLP36Z/bundle.json","state_url":"https://pith.science/pith/IBEKTZMAIUCSOF4IWGZUTLP36Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IBEKTZMAIUCSOF4IWGZUTLP36Z/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":"2026-06-29T20:37:34Z","links":{"resolver":"https://pith.science/pith/IBEKTZMAIUCSOF4IWGZUTLP36Z","bundle":"https://pith.science/pith/IBEKTZMAIUCSOF4IWGZUTLP36Z/bundle.json","state":"https://pith.science/pith/IBEKTZMAIUCSOF4IWGZUTLP36Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IBEKTZMAIUCSOF4IWGZUTLP36Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IBEKTZMAIUCSOF4IWGZUTLP36Z","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":"c3dec50303a74b135be43280dfa369e353482630c1d4f7f147d10caeeb336ebd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-21T12:54:05Z","title_canon_sha256":"cbff054487003899b9edd6a7b230d99699a38edb5833c0166682cfca1b7fd23d"},"schema_version":"1.0","source":{"id":"1708.06193","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.06193","created_at":"2026-05-18T00:37:42Z"},{"alias_kind":"arxiv_version","alias_value":"1708.06193v1","created_at":"2026-05-18T00:37:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.06193","created_at":"2026-05-18T00:37:42Z"},{"alias_kind":"pith_short_12","alias_value":"IBEKTZMAIUCS","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IBEKTZMAIUCSOF4I","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IBEKTZMA","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:be07910a3fa22cc868313cb8b8e68729f9b72474d57cdee66721f52ec03363ee","target":"graph","created_at":"2026-05-18T00:37:42Z","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":"It is shown that the universal steady Euler flow field, independent of boundary shape or symmetry, in a toroidal domain with fixed boundary obeys a nonlinear Beltrami equation, with the nonlinearity arising from a Boltzmann-like, velocity-dependent factor. Moreover, this is a relaxed velocity field, in the sense that it extremizes the total kinetic energy in the domain under free variations of the velocity field, constrained only by tangential velocity and vorticity boundary conditions and conservation of total fluid helicity and entropy. This is analogous to Woltjer-Taylor relaxation of plasm","authors_text":"Naoki Sato, Robert L. Dewar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-21T12:54:05Z","title":"Relaxation of Compressible Euler Flow in a Toroidal Domain"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06193","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:fa1aebc3f99330c101c6ffbb01ff268a1d3dee73af9336d48c8e5f59e624215c","target":"record","created_at":"2026-05-18T00:37:42Z","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":"c3dec50303a74b135be43280dfa369e353482630c1d4f7f147d10caeeb336ebd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-08-21T12:54:05Z","title_canon_sha256":"cbff054487003899b9edd6a7b230d99699a38edb5833c0166682cfca1b7fd23d"},"schema_version":"1.0","source":{"id":"1708.06193","kind":"arxiv","version":1}},"canonical_sha256":"4048a9e5804505271788b1b349adfbf676327bab76c5b015494f8a92faeccce1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4048a9e5804505271788b1b349adfbf676327bab76c5b015494f8a92faeccce1","first_computed_at":"2026-05-18T00:37:42.951927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:42.951927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZMUyYUkdjzLx0bV4AfY6O6JZPXrBRmM7ekhALYnRf35/h/duj+U17ZRTsCrA7fBqosiynHO1z6iblcyyQ4JoAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:42.952542Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.06193","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fa1aebc3f99330c101c6ffbb01ff268a1d3dee73af9336d48c8e5f59e624215c","sha256:be07910a3fa22cc868313cb8b8e68729f9b72474d57cdee66721f52ec03363ee"],"state_sha256":"72fb5df262d075df89100c233d1de6de7f879e1524392b0e01c919b6b32c5d93"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZjYT+pouoH4wE+x9XaNSIw+xWGn71Y908b8Yqhvx8mXzlT+M/8GfTRws4Gk1aHryLJDqk8R28fmpGVVnA+bUCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T20:37:34.634241Z","bundle_sha256":"07245702552a1752841aafc1ac3d1b1cbd337d881e3daa67519d7cd265637625"}}