{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:UES3T53YDLFICU4FKQWJRWZRH3","short_pith_number":"pith:UES3T53Y","canonical_record":{"source":{"id":"2505.09657","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T04:35:12Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"4f793d0b50034230308b93a06b88d9210ce55ecd29b63e4402c599d25919f2e2","abstract_canon_sha256":"f8441a54ac2835ce9b97c06f57c2a74e8141efe7e6d926982eaa9da57c635a86"},"schema_version":"1.0"},"canonical_sha256":"a125b9f7781aca815385542c98db313eca0eab4e5ceb5329c5b05acdc6d67f5a","source":{"kind":"arxiv","id":"2505.09657","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.09657","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"arxiv_version","alias_value":"2505.09657v1","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.09657","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"pith_short_12","alias_value":"UES3T53YDLFI","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"pith_short_16","alias_value":"UES3T53YDLFICU4F","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"pith_short_8","alias_value":"UES3T53Y","created_at":"2026-07-05T11:03:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:UES3T53YDLFICU4FKQWJRWZRH3","target":"record","payload":{"canonical_record":{"source":{"id":"2505.09657","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T04:35:12Z","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"title_canon_sha256":"4f793d0b50034230308b93a06b88d9210ce55ecd29b63e4402c599d25919f2e2","abstract_canon_sha256":"f8441a54ac2835ce9b97c06f57c2a74e8141efe7e6d926982eaa9da57c635a86"},"schema_version":"1.0"},"canonical_sha256":"a125b9f7781aca815385542c98db313eca0eab4e5ceb5329c5b05acdc6d67f5a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:03:26.656488Z","signature_b64":"1t70eG0862TFce0MGgxpswYnpfUSQQfke8pCmbCDCwXwoFe3+TL1uGIqHTugG5pWeKdtkhXqKuPQ1QRqKZB6Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a125b9f7781aca815385542c98db313eca0eab4e5ceb5329c5b05acdc6d67f5a","last_reissued_at":"2026-07-05T11:03:26.655960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:03:26.655960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.09657","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":"2026-07-05T11:03:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KBBdMUKsLWvf+48bMn9MT9h+oYnLaVClJ70dM6UgBP+ppY1oXvxVA2kWAnhWS4bKT1q0M+TcaVcBwFlr7mUgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:53:12.496682Z"},"content_sha256":"8e29c6a40eb44810ff4dc8ade7c4e8df70acca75b05b1b45991cf466928ecbf2","schema_version":"1.0","event_id":"sha256:8e29c6a40eb44810ff4dc8ade7c4e8df70acca75b05b1b45991cf466928ecbf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:UES3T53YDLFICU4FKQWJRWZRH3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topology and the Conformal Invariance of Nodal Lines in Two-Dimensional Active Scalar Turbulence","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.stat-mech","nlin.CD"],"primary_cat":"hep-th","authors_text":"Christopher Eling","submitted_at":"2025-05-14T04:35:12Z","abstract_excerpt":"The inverse cascade in two-dimensional hydrodynamic turbulence exhibits a mysterious phenomenon. Numerical simulations have shown that the nodal isolines of certain scalars actively transported in the flow (eg, the vorticity in Navier-Stokes theory) obey Schramm-Loewner evolution (SLE), which indicates the presence of conformal invariance. Therefore, these turbulent isolines are somehow in the same class as cluster boundaries in equilibrium statistical mechanical models at criticality, such as critical percolation. In this paper, we propose that the inverse cascade is characterized by a local "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.09657","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.09657/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:03:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PDAzLI+PTeX5Z1+qD5xILRv/sBVFX2D3NUpuRknEBhFL5PCqOKV8zZAtS+0mobntQGFltwqqSZgM/kgR6mbfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T10:53:12.497186Z"},"content_sha256":"415d73714d1568697f3eca63cd4d566644d25fe33859e337ed7a1dcd5d4bdf1c","schema_version":"1.0","event_id":"sha256:415d73714d1568697f3eca63cd4d566644d25fe33859e337ed7a1dcd5d4bdf1c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UES3T53YDLFICU4FKQWJRWZRH3/bundle.json","state_url":"https://pith.science/pith/UES3T53YDLFICU4FKQWJRWZRH3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UES3T53YDLFICU4FKQWJRWZRH3/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":"2026-08-16T10:53:12Z","links":{"resolver":"https://pith.science/pith/UES3T53YDLFICU4FKQWJRWZRH3","bundle":"https://pith.science/pith/UES3T53YDLFICU4FKQWJRWZRH3/bundle.json","state":"https://pith.science/pith/UES3T53YDLFICU4FKQWJRWZRH3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UES3T53YDLFICU4FKQWJRWZRH3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UES3T53YDLFICU4FKQWJRWZRH3","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":"f8441a54ac2835ce9b97c06f57c2a74e8141efe7e6d926982eaa9da57c635a86","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T04:35:12Z","title_canon_sha256":"4f793d0b50034230308b93a06b88d9210ce55ecd29b63e4402c599d25919f2e2"},"schema_version":"1.0","source":{"id":"2505.09657","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.09657","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"arxiv_version","alias_value":"2505.09657v1","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.09657","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"pith_short_12","alias_value":"UES3T53YDLFI","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"pith_short_16","alias_value":"UES3T53YDLFICU4F","created_at":"2026-07-05T11:03:26Z"},{"alias_kind":"pith_short_8","alias_value":"UES3T53Y","created_at":"2026-07-05T11:03:26Z"}],"graph_snapshots":[{"event_id":"sha256:415d73714d1568697f3eca63cd4d566644d25fe33859e337ed7a1dcd5d4bdf1c","target":"graph","created_at":"2026-07-05T11:03:26Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.09657/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The inverse cascade in two-dimensional hydrodynamic turbulence exhibits a mysterious phenomenon. Numerical simulations have shown that the nodal isolines of certain scalars actively transported in the flow (eg, the vorticity in Navier-Stokes theory) obey Schramm-Loewner evolution (SLE), which indicates the presence of conformal invariance. Therefore, these turbulent isolines are somehow in the same class as cluster boundaries in equilibrium statistical mechanical models at criticality, such as critical percolation. In this paper, we propose that the inverse cascade is characterized by a local ","authors_text":"Christopher Eling","cross_cats":["cond-mat.stat-mech","nlin.CD"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T04:35:12Z","title":"Topology and the Conformal Invariance of Nodal Lines in Two-Dimensional Active Scalar Turbulence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.09657","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":"sha256:8e29c6a40eb44810ff4dc8ade7c4e8df70acca75b05b1b45991cf466928ecbf2","target":"record","created_at":"2026-07-05T11:03:26Z","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":"f8441a54ac2835ce9b97c06f57c2a74e8141efe7e6d926982eaa9da57c635a86","cross_cats_sorted":["cond-mat.stat-mech","nlin.CD"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-05-14T04:35:12Z","title_canon_sha256":"4f793d0b50034230308b93a06b88d9210ce55ecd29b63e4402c599d25919f2e2"},"schema_version":"1.0","source":{"id":"2505.09657","kind":"arxiv","version":1}},"canonical_sha256":"a125b9f7781aca815385542c98db313eca0eab4e5ceb5329c5b05acdc6d67f5a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a125b9f7781aca815385542c98db313eca0eab4e5ceb5329c5b05acdc6d67f5a","first_computed_at":"2026-07-05T11:03:26.655960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:03:26.655960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1t70eG0862TFce0MGgxpswYnpfUSQQfke8pCmbCDCwXwoFe3+TL1uGIqHTugG5pWeKdtkhXqKuPQ1QRqKZB6Cg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:03:26.656488Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.09657","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8e29c6a40eb44810ff4dc8ade7c4e8df70acca75b05b1b45991cf466928ecbf2","sha256:415d73714d1568697f3eca63cd4d566644d25fe33859e337ed7a1dcd5d4bdf1c"],"state_sha256":"ecdd6dbf2f218db565bce1302ce192999186c34d441bb5d5351ef667b2848617"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sP7kZsJQuREs/qCuvRLFf6MBPY6ajXgqkvdjYhvwP7FgrqaX0cyLk2bAO78NHgu++M5nlbBZq02Z4T9kZk+DAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T10:53:12.501226Z","bundle_sha256":"92003ab7b75ef0b9bf746cd23f04f9d7485884b49380f0e14bfc0fdfc9829632"}}