{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:NBVJLT2IXFTNSJAQBXSAOVSJ4P","short_pith_number":"pith:NBVJLT2I","canonical_record":{"source":{"id":"1701.03377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-01-12T15:23:06Z","cross_cats_sorted":[],"title_canon_sha256":"35f5fffa784ba88db4d1ea2934d5edf9a208c990ada4e6460b77731e024ad6b6","abstract_canon_sha256":"aa24222fef1aa1ebd2cd46a322e934e8c25a7f1e3cec6eef0c1815f04b94a939"},"schema_version":"1.0"},"canonical_sha256":"686a95cf48b966d924100de4075649e3d6f88ee98a03f9a91631a25c640d873d","source":{"kind":"arxiv","id":"1701.03377","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03377","created_at":"2026-05-18T00:52:56Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03377v1","created_at":"2026-05-18T00:52:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03377","created_at":"2026-05-18T00:52:56Z"},{"alias_kind":"pith_short_12","alias_value":"NBVJLT2IXFTN","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NBVJLT2IXFTNSJAQ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NBVJLT2I","created_at":"2026-05-18T12:31:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:NBVJLT2IXFTNSJAQBXSAOVSJ4P","target":"record","payload":{"canonical_record":{"source":{"id":"1701.03377","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-01-12T15:23:06Z","cross_cats_sorted":[],"title_canon_sha256":"35f5fffa784ba88db4d1ea2934d5edf9a208c990ada4e6460b77731e024ad6b6","abstract_canon_sha256":"aa24222fef1aa1ebd2cd46a322e934e8c25a7f1e3cec6eef0c1815f04b94a939"},"schema_version":"1.0"},"canonical_sha256":"686a95cf48b966d924100de4075649e3d6f88ee98a03f9a91631a25c640d873d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:56.009486Z","signature_b64":"V+ZYgptHCWf8fG2h/0rxvKTSzrvjURpQHuNbqdpaguzvq6S9NnbueVxlwSPTbZCF/7Ot64RMYLeGHBSxRWsgAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"686a95cf48b966d924100de4075649e3d6f88ee98a03f9a91631a25c640d873d","last_reissued_at":"2026-05-18T00:52:56.008974Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:56.008974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.03377","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":"2026-05-18T00:52:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"agrDumOxtrsPXqrsrYBKzl+0mwb8iXWgbw7aiF2/i7T9LdYWr3AR08KNHN4ijIusVKQFHLMDc4BwcbtUyoepCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:56:16.889102Z"},"content_sha256":"bf0f31f6cb1cdbae7001e8cc29bc31b9991ae02cb03cf5df2cfb64a38ef04518","schema_version":"1.0","event_id":"sha256:bf0f31f6cb1cdbae7001e8cc29bc31b9991ae02cb03cf5df2cfb64a38ef04518"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:NBVJLT2IXFTNSJAQBXSAOVSJ4P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling laws and bounds for the turbulent G.O. Roberts dynamo","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"A. Tilgner","submitted_at":"2017-01-12T15:23:06Z","abstract_excerpt":"Numerical simulations of the G.O. Roberts dynamo are presented. Dynamos both with and without a significant mean field are obtained. Exact bounds are derived for the total energy which conform with the Kolmogorov phenomenology of turbulence. Best fits to numerical data show the same functional dependences as the inequalities obtained from optimum theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03377","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":"2026-05-18T00:52:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PIfEacZF/P285KxREVyb2iDUybkGl2fYN0a9LMaaiw/xU2wDgFe5ksv4FprgvxxWGCZaxXPCHC6KUPJ8ccrfDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T19:56:16.889461Z"},"content_sha256":"a60f7433e6df8e7ec427328c6c40da3a9fcb216a8b3904a120363e14f698be0a","schema_version":"1.0","event_id":"sha256:a60f7433e6df8e7ec427328c6c40da3a9fcb216a8b3904a120363e14f698be0a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBVJLT2IXFTNSJAQBXSAOVSJ4P/bundle.json","state_url":"https://pith.science/pith/NBVJLT2IXFTNSJAQBXSAOVSJ4P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBVJLT2IXFTNSJAQBXSAOVSJ4P/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":"2026-06-29T19:56:16Z","links":{"resolver":"https://pith.science/pith/NBVJLT2IXFTNSJAQBXSAOVSJ4P","bundle":"https://pith.science/pith/NBVJLT2IXFTNSJAQBXSAOVSJ4P/bundle.json","state":"https://pith.science/pith/NBVJLT2IXFTNSJAQBXSAOVSJ4P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBVJLT2IXFTNSJAQBXSAOVSJ4P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:NBVJLT2IXFTNSJAQBXSAOVSJ4P","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":"aa24222fef1aa1ebd2cd46a322e934e8c25a7f1e3cec6eef0c1815f04b94a939","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-01-12T15:23:06Z","title_canon_sha256":"35f5fffa784ba88db4d1ea2934d5edf9a208c990ada4e6460b77731e024ad6b6"},"schema_version":"1.0","source":{"id":"1701.03377","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.03377","created_at":"2026-05-18T00:52:56Z"},{"alias_kind":"arxiv_version","alias_value":"1701.03377v1","created_at":"2026-05-18T00:52:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03377","created_at":"2026-05-18T00:52:56Z"},{"alias_kind":"pith_short_12","alias_value":"NBVJLT2IXFTN","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_16","alias_value":"NBVJLT2IXFTNSJAQ","created_at":"2026-05-18T12:31:31Z"},{"alias_kind":"pith_short_8","alias_value":"NBVJLT2I","created_at":"2026-05-18T12:31:31Z"}],"graph_snapshots":[{"event_id":"sha256:a60f7433e6df8e7ec427328c6c40da3a9fcb216a8b3904a120363e14f698be0a","target":"graph","created_at":"2026-05-18T00:52:56Z","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":"Numerical simulations of the G.O. Roberts dynamo are presented. Dynamos both with and without a significant mean field are obtained. Exact bounds are derived for the total energy which conform with the Kolmogorov phenomenology of turbulence. Best fits to numerical data show the same functional dependences as the inequalities obtained from optimum theory.","authors_text":"A. Tilgner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-01-12T15:23:06Z","title":"Scaling laws and bounds for the turbulent G.O. Roberts dynamo"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03377","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:bf0f31f6cb1cdbae7001e8cc29bc31b9991ae02cb03cf5df2cfb64a38ef04518","target":"record","created_at":"2026-05-18T00:52:56Z","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":"aa24222fef1aa1ebd2cd46a322e934e8c25a7f1e3cec6eef0c1815f04b94a939","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2017-01-12T15:23:06Z","title_canon_sha256":"35f5fffa784ba88db4d1ea2934d5edf9a208c990ada4e6460b77731e024ad6b6"},"schema_version":"1.0","source":{"id":"1701.03377","kind":"arxiv","version":1}},"canonical_sha256":"686a95cf48b966d924100de4075649e3d6f88ee98a03f9a91631a25c640d873d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"686a95cf48b966d924100de4075649e3d6f88ee98a03f9a91631a25c640d873d","first_computed_at":"2026-05-18T00:52:56.008974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:56.008974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V+ZYgptHCWf8fG2h/0rxvKTSzrvjURpQHuNbqdpaguzvq6S9NnbueVxlwSPTbZCF/7Ot64RMYLeGHBSxRWsgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:56.009486Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.03377","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bf0f31f6cb1cdbae7001e8cc29bc31b9991ae02cb03cf5df2cfb64a38ef04518","sha256:a60f7433e6df8e7ec427328c6c40da3a9fcb216a8b3904a120363e14f698be0a"],"state_sha256":"e381c94810ee4c43018a1639d2543effb4ea33348da00fca1f3acb3b2616a97e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wbIiD9BDm1/U0lryi6AV1u0J6xQzjaOwHGn1Cgn71iSK5rYfxMAQnOiuqVrK1wSNW1e8czAQSj6Yr0mEXuZuBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T19:56:16.891301Z","bundle_sha256":"feb2edb325d6bcea745a6dad60f2141d4ac973e9f61968d61a341f014ee1d4e4"}}