{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:WGEJZNTOTOM77BEPTJ3S5OHFND","short_pith_number":"pith:WGEJZNTO","canonical_record":{"source":{"id":"1705.04917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-05-14T06:24:40Z","cross_cats_sorted":[],"title_canon_sha256":"bffafde92e2ed9c44d6103e8a95631fcbe8a54b5d55996f5cfd4166b57eb40f7","abstract_canon_sha256":"7555afd72e7618be67f7e83afd9c87c40ac3f1593f4363985e4981e6a92e2a6e"},"schema_version":"1.0"},"canonical_sha256":"b1889cb66e9b99ff848f9a772eb8e568d4409ac133613df28f64654d0422ed83","source":{"kind":"arxiv","id":"1705.04917","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04917","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04917v2","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04917","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"WGEJZNTOTOM7","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WGEJZNTOTOM77BEP","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WGEJZNTO","created_at":"2026-05-18T12:31:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:WGEJZNTOTOM77BEPTJ3S5OHFND","target":"record","payload":{"canonical_record":{"source":{"id":"1705.04917","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-05-14T06:24:40Z","cross_cats_sorted":[],"title_canon_sha256":"bffafde92e2ed9c44d6103e8a95631fcbe8a54b5d55996f5cfd4166b57eb40f7","abstract_canon_sha256":"7555afd72e7618be67f7e83afd9c87c40ac3f1593f4363985e4981e6a92e2a6e"},"schema_version":"1.0"},"canonical_sha256":"b1889cb66e9b99ff848f9a772eb8e568d4409ac133613df28f64654d0422ed83","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:52.284696Z","signature_b64":"/0I8QqfXl4sU+fRptf+yxQPprMAl2umbQKjv0ESYFX7xVsBHPf9sXVDG9OmnIzz5qbelD/psvcjm0IcIVUe5Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1889cb66e9b99ff848f9a772eb8e568d4409ac133613df28f64654d0422ed83","last_reissued_at":"2026-05-17T23:53:52.283823Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:52.283823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.04917","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":"2026-05-17T23:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WyLTVwdv9siGiMJq1LBkTzLstZYZKOdXXCNEYIbjA+qk9f2g4+GrMxOM/uWNRRwc/lVnrB1yJPrOVL9a56OWBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:39:20.707349Z"},"content_sha256":"fb05f0bddc7dc26573a5c99343801475bfa95c800ed53113730340385f24e3bc","schema_version":"1.0","event_id":"sha256:fb05f0bddc7dc26573a5c99343801475bfa95c800ed53113730340385f24e3bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:WGEJZNTOTOM77BEPTJ3S5OHFND","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Abhishek Kumar, Anando G. Chatterjee, Mahendra K. Verma, Praveen Kumar, Ravi Samtaney, Rodion Stepanov, Satyajit Barman","submitted_at":"2017-05-14T06:24:40Z","abstract_excerpt":"Two well-known turbulence models that describe the energy spectrum in the inertial and dissipative ranges simultaneously are by Pao~(1965) and Pope~(2000). In this paper, we compute the energy spectrum $E(k)$ and energy flux $\\Pi(k)$ using direct numerical simulations on grids up to $4096^3$, and show consistency between the numerical results and the predictions by the aforementioned models. We also construct a model for laminar flows that predicts $E(k)\\sim k^{-1} \\exp(-k)$ and $\\Pi(k)\\sim k \\exp(-k)$. Our model predictions match with the numerical results. We emphasize differences on the ene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04917","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":"2026-05-17T23:53:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ASZo/snlkcks3SZ9TqTsKRtIxOdaWK2kK0ljthwymnICgoNclgJFMCofs4Liu8Ol204NhdaIWVytKomgVN93AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T22:39:20.708092Z"},"content_sha256":"de57fdeeee3cdb68cc674dab9c45d458ec6290b35dfb14431745c6c5c4b7b250","schema_version":"1.0","event_id":"sha256:de57fdeeee3cdb68cc674dab9c45d458ec6290b35dfb14431745c6c5c4b7b250"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WGEJZNTOTOM77BEPTJ3S5OHFND/bundle.json","state_url":"https://pith.science/pith/WGEJZNTOTOM77BEPTJ3S5OHFND/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WGEJZNTOTOM77BEPTJ3S5OHFND/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":"2026-05-31T22:39:20Z","links":{"resolver":"https://pith.science/pith/WGEJZNTOTOM77BEPTJ3S5OHFND","bundle":"https://pith.science/pith/WGEJZNTOTOM77BEPTJ3S5OHFND/bundle.json","state":"https://pith.science/pith/WGEJZNTOTOM77BEPTJ3S5OHFND/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WGEJZNTOTOM77BEPTJ3S5OHFND/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:WGEJZNTOTOM77BEPTJ3S5OHFND","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":"7555afd72e7618be67f7e83afd9c87c40ac3f1593f4363985e4981e6a92e2a6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-05-14T06:24:40Z","title_canon_sha256":"bffafde92e2ed9c44d6103e8a95631fcbe8a54b5d55996f5cfd4166b57eb40f7"},"schema_version":"1.0","source":{"id":"1705.04917","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.04917","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"arxiv_version","alias_value":"1705.04917v2","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.04917","created_at":"2026-05-17T23:53:52Z"},{"alias_kind":"pith_short_12","alias_value":"WGEJZNTOTOM7","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_16","alias_value":"WGEJZNTOTOM77BEP","created_at":"2026-05-18T12:31:53Z"},{"alias_kind":"pith_short_8","alias_value":"WGEJZNTO","created_at":"2026-05-18T12:31:53Z"}],"graph_snapshots":[{"event_id":"sha256:de57fdeeee3cdb68cc674dab9c45d458ec6290b35dfb14431745c6c5c4b7b250","target":"graph","created_at":"2026-05-17T23:53:52Z","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":"Two well-known turbulence models that describe the energy spectrum in the inertial and dissipative ranges simultaneously are by Pao~(1965) and Pope~(2000). In this paper, we compute the energy spectrum $E(k)$ and energy flux $\\Pi(k)$ using direct numerical simulations on grids up to $4096^3$, and show consistency between the numerical results and the predictions by the aforementioned models. We also construct a model for laminar flows that predicts $E(k)\\sim k^{-1} \\exp(-k)$ and $\\Pi(k)\\sim k \\exp(-k)$. Our model predictions match with the numerical results. We emphasize differences on the ene","authors_text":"Abhishek Kumar, Anando G. Chatterjee, Mahendra K. Verma, Praveen Kumar, Ravi Samtaney, Rodion Stepanov, Satyajit Barman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-05-14T06:24:40Z","title":"Energy Spectra and Fluxes in Dissipation Range of Turbulent and Laminar Flows"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.04917","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:fb05f0bddc7dc26573a5c99343801475bfa95c800ed53113730340385f24e3bc","target":"record","created_at":"2026-05-17T23:53:52Z","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":"7555afd72e7618be67f7e83afd9c87c40ac3f1593f4363985e4981e6a92e2a6e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-05-14T06:24:40Z","title_canon_sha256":"bffafde92e2ed9c44d6103e8a95631fcbe8a54b5d55996f5cfd4166b57eb40f7"},"schema_version":"1.0","source":{"id":"1705.04917","kind":"arxiv","version":2}},"canonical_sha256":"b1889cb66e9b99ff848f9a772eb8e568d4409ac133613df28f64654d0422ed83","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1889cb66e9b99ff848f9a772eb8e568d4409ac133613df28f64654d0422ed83","first_computed_at":"2026-05-17T23:53:52.283823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:52.283823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/0I8QqfXl4sU+fRptf+yxQPprMAl2umbQKjv0ESYFX7xVsBHPf9sXVDG9OmnIzz5qbelD/psvcjm0IcIVUe5Cw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:52.284696Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.04917","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb05f0bddc7dc26573a5c99343801475bfa95c800ed53113730340385f24e3bc","sha256:de57fdeeee3cdb68cc674dab9c45d458ec6290b35dfb14431745c6c5c4b7b250"],"state_sha256":"f5326582a3cfc4c0393b9e19f5a4b5ba1e9a53d96bd5289d6f8c83e8ae9f0e0b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rx++M7G3HneL3qeuP7qaNi6ieCq2sfwZygctlAdtpKqzZt/ZsqO9LP7zbcuTnKuOvj3rD8MiJSt2ZODshIFpBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T22:39:20.711611Z","bundle_sha256":"ce976cb5e974f900ab235e12e1a85e976db7c2c2aded48670edd6e02c77d0398"}}