{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JTTR4GABSMJBLNNX46CI3L5FMJ","short_pith_number":"pith:JTTR4GAB","canonical_record":{"source":{"id":"1804.00547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-03-30T01:15:06Z","cross_cats_sorted":[],"title_canon_sha256":"1eb22a24f70d9615defc5cbd195839a339f6a4941b03fb385c3f321d31d27719","abstract_canon_sha256":"2f41194223da919486800b01b570580a6370d0554aa661179489a465f9362d9c"},"schema_version":"1.0"},"canonical_sha256":"4ce71e1801931215b5b7e7848dafa56243ed0d2c619c2825693c7d504bb8a376","source":{"kind":"arxiv","id":"1804.00547","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00547","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00547v1","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00547","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"JTTR4GABSMJB","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JTTR4GABSMJBLNNX","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JTTR4GAB","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JTTR4GABSMJBLNNX46CI3L5FMJ","target":"record","payload":{"canonical_record":{"source":{"id":"1804.00547","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-03-30T01:15:06Z","cross_cats_sorted":[],"title_canon_sha256":"1eb22a24f70d9615defc5cbd195839a339f6a4941b03fb385c3f321d31d27719","abstract_canon_sha256":"2f41194223da919486800b01b570580a6370d0554aa661179489a465f9362d9c"},"schema_version":"1.0"},"canonical_sha256":"4ce71e1801931215b5b7e7848dafa56243ed0d2c619c2825693c7d504bb8a376","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:36.704834Z","signature_b64":"RRwZIbnAEq2IuGTZwY300KTyPWusBPFJPU1un++ZK+TYI+OFWKNRdi4/qFE70+zexNhyFmhm/bw0t58ns3k5DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ce71e1801931215b5b7e7848dafa56243ed0d2c619c2825693c7d504bb8a376","last_reissued_at":"2026-05-18T00:19:36.704077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:36.704077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.00547","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":"2026-05-18T00:19:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cocz81Mxvlw8/Si34RfVkmdmzAjwVnsRL6pyV6ziZemnQM/vpguO2R28Uh3nL+cJQxYD9cCFD+r8ytjF0zzmDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:13:28.381129Z"},"content_sha256":"8677a9814226a79b256680fb21a4a9f2757969a344a0b3416a27708d41f90265","schema_version":"1.0","event_id":"sha256:8677a9814226a79b256680fb21a4a9f2757969a344a0b3416a27708d41f90265"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JTTR4GABSMJBLNNX46CI3L5FMJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Periodic motion representing isotropic turbulence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Genta Kawahara, Lennaert van Veen, Shigeo Kida","submitted_at":"2018-03-30T01:15:06Z","abstract_excerpt":"Temporally periodic solutions are extracted numerically from forced box turbulence with high symmetry. Since they are unstable to small perturbations, they are not found by forward integration but can be captured by Newton-Raphson iterations. Several periodic flows of various periods are identified for the micro-scale Reynolds number $R_{\\lambda}$ between $50$ and $67$. The statistical properties of these periodic flows are compared with those of turbulent flow. It is found that the one with the longest period, which is two to three times the large-eddy-turnover time of turbulence, exhibits th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00547","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":"2026-05-18T00:19:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZrCwitbLMFquXwcOpCoqWmwD1VpcEfatbtLaHiP182XdemQ1C0CizaruKOUsd8meLplc2sNd9oWfXvBI8dHiDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T13:13:28.381499Z"},"content_sha256":"7c6d87391a5df27f0a0cc8c0ebe31cb34640e333aa628f61064312cd6cb9e910","schema_version":"1.0","event_id":"sha256:7c6d87391a5df27f0a0cc8c0ebe31cb34640e333aa628f61064312cd6cb9e910"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JTTR4GABSMJBLNNX46CI3L5FMJ/bundle.json","state_url":"https://pith.science/pith/JTTR4GABSMJBLNNX46CI3L5FMJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JTTR4GABSMJBLNNX46CI3L5FMJ/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":"2026-06-04T13:13:28Z","links":{"resolver":"https://pith.science/pith/JTTR4GABSMJBLNNX46CI3L5FMJ","bundle":"https://pith.science/pith/JTTR4GABSMJBLNNX46CI3L5FMJ/bundle.json","state":"https://pith.science/pith/JTTR4GABSMJBLNNX46CI3L5FMJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JTTR4GABSMJBLNNX46CI3L5FMJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JTTR4GABSMJBLNNX46CI3L5FMJ","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":"2f41194223da919486800b01b570580a6370d0554aa661179489a465f9362d9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-03-30T01:15:06Z","title_canon_sha256":"1eb22a24f70d9615defc5cbd195839a339f6a4941b03fb385c3f321d31d27719"},"schema_version":"1.0","source":{"id":"1804.00547","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00547","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00547v1","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00547","created_at":"2026-05-18T00:19:36Z"},{"alias_kind":"pith_short_12","alias_value":"JTTR4GABSMJB","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JTTR4GABSMJBLNNX","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JTTR4GAB","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:7c6d87391a5df27f0a0cc8c0ebe31cb34640e333aa628f61064312cd6cb9e910","target":"graph","created_at":"2026-05-18T00:19:36Z","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":"Temporally periodic solutions are extracted numerically from forced box turbulence with high symmetry. Since they are unstable to small perturbations, they are not found by forward integration but can be captured by Newton-Raphson iterations. Several periodic flows of various periods are identified for the micro-scale Reynolds number $R_{\\lambda}$ between $50$ and $67$. The statistical properties of these periodic flows are compared with those of turbulent flow. It is found that the one with the longest period, which is two to three times the large-eddy-turnover time of turbulence, exhibits th","authors_text":"Genta Kawahara, Lennaert van Veen, Shigeo Kida","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-03-30T01:15:06Z","title":"Periodic motion representing isotropic turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00547","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":"sha256:8677a9814226a79b256680fb21a4a9f2757969a344a0b3416a27708d41f90265","target":"record","created_at":"2026-05-18T00:19:36Z","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":"2f41194223da919486800b01b570580a6370d0554aa661179489a465f9362d9c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-03-30T01:15:06Z","title_canon_sha256":"1eb22a24f70d9615defc5cbd195839a339f6a4941b03fb385c3f321d31d27719"},"schema_version":"1.0","source":{"id":"1804.00547","kind":"arxiv","version":1}},"canonical_sha256":"4ce71e1801931215b5b7e7848dafa56243ed0d2c619c2825693c7d504bb8a376","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ce71e1801931215b5b7e7848dafa56243ed0d2c619c2825693c7d504bb8a376","first_computed_at":"2026-05-18T00:19:36.704077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:36.704077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RRwZIbnAEq2IuGTZwY300KTyPWusBPFJPU1un++ZK+TYI+OFWKNRdi4/qFE70+zexNhyFmhm/bw0t58ns3k5DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:36.704834Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.00547","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8677a9814226a79b256680fb21a4a9f2757969a344a0b3416a27708d41f90265","sha256:7c6d87391a5df27f0a0cc8c0ebe31cb34640e333aa628f61064312cd6cb9e910"],"state_sha256":"817e484f17978071fac07c2e89729037e7e4cb93994679bf6e58a9d0a9696cc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EI3BCBMehpA59r7e1yepk0oi2Etlqy/uWZ6x1RcnJOvSK6IPPmPrb7wVniCQIiVXhTD+anEn8wU4O4rO7ykbDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T13:13:28.383449Z","bundle_sha256":"2bc5268f86e6073d3c4169fc4d959da3206887c051832c8124513d2bd7b79914"}}