{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WMDLFM7L5ZW7LP2E3W7C75FFTT","short_pith_number":"pith:WMDLFM7L","canonical_record":{"source":{"id":"1805.01494","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-03T18:17:35Z","cross_cats_sorted":[],"title_canon_sha256":"58147fdf79fb8fc1e44fadf7f6915b6ca7d3e90b67b2d17241719b447dda32a3","abstract_canon_sha256":"83384d85246664f761a17c37fcb3b42b02260e1ffc31ef03df2055ff02f83743"},"schema_version":"1.0"},"canonical_sha256":"b306b2b3ebee6df5bf44ddbe2ff4a59cd8667657465c6881ac64d9d4cedbb543","source":{"kind":"arxiv","id":"1805.01494","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01494","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01494v3","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01494","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"pith_short_12","alias_value":"WMDLFM7L5ZW7","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WMDLFM7L5ZW7LP2E","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WMDLFM7L","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WMDLFM7L5ZW7LP2E3W7C75FFTT","target":"record","payload":{"canonical_record":{"source":{"id":"1805.01494","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-03T18:17:35Z","cross_cats_sorted":[],"title_canon_sha256":"58147fdf79fb8fc1e44fadf7f6915b6ca7d3e90b67b2d17241719b447dda32a3","abstract_canon_sha256":"83384d85246664f761a17c37fcb3b42b02260e1ffc31ef03df2055ff02f83743"},"schema_version":"1.0"},"canonical_sha256":"b306b2b3ebee6df5bf44ddbe2ff4a59cd8667657465c6881ac64d9d4cedbb543","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:28.057787Z","signature_b64":"mrTxa9pnMSNUalMKAWgY/THb4OE6OjxLhz8z09VYZagArJz6WMZtAKmgEQ1P1Ch6R1ZC2/GNzPVxP+C4I+AJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b306b2b3ebee6df5bf44ddbe2ff4a59cd8667657465c6881ac64d9d4cedbb543","last_reissued_at":"2026-05-17T23:50:28.057373Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:28.057373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.01494","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lZ9U4/yd8TDD7t4pUy8DKVpc0V9cCLzCTKOOtDpCklSHrO85M9KkR8AlLJ8zBrCCR1WTwMHAr1M6Gw8Fw09vCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:21:46.519165Z"},"content_sha256":"299785c610cff16d9a03a9f3ed3d709ee7cd3db6d6006e9c28991f8c6da26d9e","schema_version":"1.0","event_id":"sha256:299785c610cff16d9a03a9f3ed3d709ee7cd3db6d6006e9c28991f8c6da26d9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WMDLFM7L5ZW7LP2E3W7C75FFTT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spatio-temporal Proper Orthogonal Decomposition of turbulent channel flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"B\\'ereng\\`ere Podvin, Lionel Mathelin, Srikanth Derebail Muralidhar, Yann Fraigneau","submitted_at":"2018-05-03T18:17:35Z","abstract_excerpt":"An extension of Proper Orthogonal Decomposition is applied to the wall layer of a turbulent channel flow (Re {\\tau} = 590), so that empirical eigenfunctions are defined in both space and time. Due to the statistical symmetries of the flow, the igenfunctions are associated with individual wavenumbers and frequencies. Self-similarity of the dominant eigenfunctions, consistent with wall-attached structures transferring energy into the core region, is established. The most energetic modes are characterized by a fundamental time scale in the range 200-300 viscous wall units. The full spatio-tempora"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01494","kind":"arxiv","version":3},"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":"2026-05-17T23:50:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X7HvTkuhskkLnx3l4Pr3qmGAZwXflgdgYsASwr/RWsSikfr0Dkkno7M1Ptj3W4bSpgM6Ej77P8c0/ROI+xRTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:21:46.519520Z"},"content_sha256":"c100b1ead50d24cdd9078c732f4ff5bd5a4ef47af3ca39b28550bebabbe92a42","schema_version":"1.0","event_id":"sha256:c100b1ead50d24cdd9078c732f4ff5bd5a4ef47af3ca39b28550bebabbe92a42"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WMDLFM7L5ZW7LP2E3W7C75FFTT/bundle.json","state_url":"https://pith.science/pith/WMDLFM7L5ZW7LP2E3W7C75FFTT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WMDLFM7L5ZW7LP2E3W7C75FFTT/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":"2026-06-27T14:21:46Z","links":{"resolver":"https://pith.science/pith/WMDLFM7L5ZW7LP2E3W7C75FFTT","bundle":"https://pith.science/pith/WMDLFM7L5ZW7LP2E3W7C75FFTT/bundle.json","state":"https://pith.science/pith/WMDLFM7L5ZW7LP2E3W7C75FFTT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WMDLFM7L5ZW7LP2E3W7C75FFTT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WMDLFM7L5ZW7LP2E3W7C75FFTT","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":"83384d85246664f761a17c37fcb3b42b02260e1ffc31ef03df2055ff02f83743","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-03T18:17:35Z","title_canon_sha256":"58147fdf79fb8fc1e44fadf7f6915b6ca7d3e90b67b2d17241719b447dda32a3"},"schema_version":"1.0","source":{"id":"1805.01494","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.01494","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"arxiv_version","alias_value":"1805.01494v3","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.01494","created_at":"2026-05-17T23:50:28Z"},{"alias_kind":"pith_short_12","alias_value":"WMDLFM7L5ZW7","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WMDLFM7L5ZW7LP2E","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WMDLFM7L","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:c100b1ead50d24cdd9078c732f4ff5bd5a4ef47af3ca39b28550bebabbe92a42","target":"graph","created_at":"2026-05-17T23:50:28Z","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":"An extension of Proper Orthogonal Decomposition is applied to the wall layer of a turbulent channel flow (Re {\\tau} = 590), so that empirical eigenfunctions are defined in both space and time. Due to the statistical symmetries of the flow, the igenfunctions are associated with individual wavenumbers and frequencies. Self-similarity of the dominant eigenfunctions, consistent with wall-attached structures transferring energy into the core region, is established. The most energetic modes are characterized by a fundamental time scale in the range 200-300 viscous wall units. The full spatio-tempora","authors_text":"B\\'ereng\\`ere Podvin, Lionel Mathelin, Srikanth Derebail Muralidhar, Yann Fraigneau","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-03T18:17:35Z","title":"Spatio-temporal Proper Orthogonal Decomposition of turbulent channel flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.01494","kind":"arxiv","version":3},"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":"sha256:299785c610cff16d9a03a9f3ed3d709ee7cd3db6d6006e9c28991f8c6da26d9e","target":"record","created_at":"2026-05-17T23:50:28Z","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":"83384d85246664f761a17c37fcb3b42b02260e1ffc31ef03df2055ff02f83743","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-05-03T18:17:35Z","title_canon_sha256":"58147fdf79fb8fc1e44fadf7f6915b6ca7d3e90b67b2d17241719b447dda32a3"},"schema_version":"1.0","source":{"id":"1805.01494","kind":"arxiv","version":3}},"canonical_sha256":"b306b2b3ebee6df5bf44ddbe2ff4a59cd8667657465c6881ac64d9d4cedbb543","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b306b2b3ebee6df5bf44ddbe2ff4a59cd8667657465c6881ac64d9d4cedbb543","first_computed_at":"2026-05-17T23:50:28.057373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:28.057373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mrTxa9pnMSNUalMKAWgY/THb4OE6OjxLhz8z09VYZagArJz6WMZtAKmgEQ1P1Ch6R1ZC2/GNzPVxP+C4I+AJDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:28.057787Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.01494","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:299785c610cff16d9a03a9f3ed3d709ee7cd3db6d6006e9c28991f8c6da26d9e","sha256:c100b1ead50d24cdd9078c732f4ff5bd5a4ef47af3ca39b28550bebabbe92a42"],"state_sha256":"6db4267c63be20542b0663499c3745bec8e06e3032fb3fe5fc7a7065d9658d26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8KikQud7nmuQP6z84J/KVrsRmQ5NPsMYtn7UUn2WV+Dr54OtN1L8xX7T/s211g4livyIDmwyp1ClVjGjsoSGCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T14:21:46.521339Z","bundle_sha256":"cd8319e11e2f4d79db5de4ee6eb7f80eab3b1c11b4d640c83ec5f7f526ee4e75"}}