{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:K6E2QZ7FPUAM5ZH6AIO4V5UYTO","short_pith_number":"pith:K6E2QZ7F","canonical_record":{"source":{"id":"1506.07130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-23T18:44:07Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft"],"title_canon_sha256":"f9d31f1c52deaa7a1dc42568a8a0b45fa3532367ba2e811cc37ecd9b044605e6","abstract_canon_sha256":"0b37ea773b14349aecdd241329a784551571964e78bb893d68eceac16b0bb291"},"schema_version":"1.0"},"canonical_sha256":"5789a867e57d00cee4fe021dcaf6989ba7e427e8d38afcc0a52a5f3eb3d7fb37","source":{"kind":"arxiv","id":"1506.07130","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07130","created_at":"2026-05-18T01:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07130v1","created_at":"2026-05-18T01:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07130","created_at":"2026-05-18T01:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"K6E2QZ7FPUAM","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K6E2QZ7FPUAM5ZH6","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K6E2QZ7F","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:K6E2QZ7FPUAM5ZH6AIO4V5UYTO","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07130","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-23T18:44:07Z","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft"],"title_canon_sha256":"f9d31f1c52deaa7a1dc42568a8a0b45fa3532367ba2e811cc37ecd9b044605e6","abstract_canon_sha256":"0b37ea773b14349aecdd241329a784551571964e78bb893d68eceac16b0bb291"},"schema_version":"1.0"},"canonical_sha256":"5789a867e57d00cee4fe021dcaf6989ba7e427e8d38afcc0a52a5f3eb3d7fb37","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:39.569878Z","signature_b64":"EuW049N1Q6aqbV/IwbhSxWsqWHKX2z/gTtVP3mcS7Bx71VanTxEDlumlH3YHmj6b31TAxTmuQ2B8LGoDvyr8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5789a867e57d00cee4fe021dcaf6989ba7e427e8d38afcc0a52a5f3eb3d7fb37","last_reissued_at":"2026-05-18T01:22:39.569100Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:39.569100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07130","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":"2026-05-18T01:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JJvHISFHIhEC2sCiXlbnEX+PpvLntOKpnDFNYM6PF6/irrluGAtfrpYNMPL+R8bIl9s8yo9F1TeYVEQk0SRBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T07:25:27.630969Z"},"content_sha256":"c41fe3b6ddd11df9a21e9b82eb0b26e8e85bee4d1584afd263255f697e9d3492","schema_version":"1.0","event_id":"sha256:c41fe3b6ddd11df9a21e9b82eb0b26e8e85bee4d1584afd263255f697e9d3492"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:K6E2QZ7FPUAM5ZH6AIO4V5UYTO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thin film instability with thermal noise","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","cond-mat.soft"],"primary_cat":"physics.flu-dyn","authors_text":"Alejandro G. Gonz\\'alez, Javier A. Diez, Roberto Fern\\'andez","submitted_at":"2015-06-23T18:44:07Z","abstract_excerpt":"We study the effects of stochastic thermal fluctuations on the instability of the free surface of a flat liquid film upon a solid substrate. These fluctuations are represented as a standard Brownian motion that can be added to the deterministic equation for the film thickness within the lubrication approximation. Here, we consider that while the noise term is white in time, it is coloured in space. This allows for the introduction of a finite correlation length in the description of the randomized intermolecular interaction. Together with the expected spatial periodicity of the flow, we find a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07130","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":"2026-05-18T01:22:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oMflWttPqh5wZRK2iD1EEREp50oB8VTaWD4+Fux/ESG2VyHYB9pgkyO+6mWZcHXSZZ3SMth3GX5broY3cryUCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T07:25:27.631576Z"},"content_sha256":"0f543a6e5e0fb958cd45ed56ca1dcc56e78f60119d98c39e16bd2bd443a873fc","schema_version":"1.0","event_id":"sha256:0f543a6e5e0fb958cd45ed56ca1dcc56e78f60119d98c39e16bd2bd443a873fc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K6E2QZ7FPUAM5ZH6AIO4V5UYTO/bundle.json","state_url":"https://pith.science/pith/K6E2QZ7FPUAM5ZH6AIO4V5UYTO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K6E2QZ7FPUAM5ZH6AIO4V5UYTO/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":"2026-05-25T07:25:27Z","links":{"resolver":"https://pith.science/pith/K6E2QZ7FPUAM5ZH6AIO4V5UYTO","bundle":"https://pith.science/pith/K6E2QZ7FPUAM5ZH6AIO4V5UYTO/bundle.json","state":"https://pith.science/pith/K6E2QZ7FPUAM5ZH6AIO4V5UYTO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K6E2QZ7FPUAM5ZH6AIO4V5UYTO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:K6E2QZ7FPUAM5ZH6AIO4V5UYTO","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":"0b37ea773b14349aecdd241329a784551571964e78bb893d68eceac16b0bb291","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-23T18:44:07Z","title_canon_sha256":"f9d31f1c52deaa7a1dc42568a8a0b45fa3532367ba2e811cc37ecd9b044605e6"},"schema_version":"1.0","source":{"id":"1506.07130","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07130","created_at":"2026-05-18T01:22:39Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07130v1","created_at":"2026-05-18T01:22:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07130","created_at":"2026-05-18T01:22:39Z"},{"alias_kind":"pith_short_12","alias_value":"K6E2QZ7FPUAM","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"K6E2QZ7FPUAM5ZH6","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"K6E2QZ7F","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:0f543a6e5e0fb958cd45ed56ca1dcc56e78f60119d98c39e16bd2bd443a873fc","target":"graph","created_at":"2026-05-18T01:22:39Z","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":"We study the effects of stochastic thermal fluctuations on the instability of the free surface of a flat liquid film upon a solid substrate. These fluctuations are represented as a standard Brownian motion that can be added to the deterministic equation for the film thickness within the lubrication approximation. Here, we consider that while the noise term is white in time, it is coloured in space. This allows for the introduction of a finite correlation length in the description of the randomized intermolecular interaction. Together with the expected spatial periodicity of the flow, we find a","authors_text":"Alejandro G. Gonz\\'alez, Javier A. Diez, Roberto Fern\\'andez","cross_cats":["cond-mat.mes-hall","cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-23T18:44:07Z","title":"Thin film instability with thermal noise"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07130","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:c41fe3b6ddd11df9a21e9b82eb0b26e8e85bee4d1584afd263255f697e9d3492","target":"record","created_at":"2026-05-18T01:22:39Z","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":"0b37ea773b14349aecdd241329a784551571964e78bb893d68eceac16b0bb291","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2015-06-23T18:44:07Z","title_canon_sha256":"f9d31f1c52deaa7a1dc42568a8a0b45fa3532367ba2e811cc37ecd9b044605e6"},"schema_version":"1.0","source":{"id":"1506.07130","kind":"arxiv","version":1}},"canonical_sha256":"5789a867e57d00cee4fe021dcaf6989ba7e427e8d38afcc0a52a5f3eb3d7fb37","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5789a867e57d00cee4fe021dcaf6989ba7e427e8d38afcc0a52a5f3eb3d7fb37","first_computed_at":"2026-05-18T01:22:39.569100Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:39.569100Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EuW049N1Q6aqbV/IwbhSxWsqWHKX2z/gTtVP3mcS7Bx71VanTxEDlumlH3YHmj6b31TAxTmuQ2B8LGoDvyr8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:39.569878Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07130","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c41fe3b6ddd11df9a21e9b82eb0b26e8e85bee4d1584afd263255f697e9d3492","sha256:0f543a6e5e0fb958cd45ed56ca1dcc56e78f60119d98c39e16bd2bd443a873fc"],"state_sha256":"1193232d8fccd3c0e8693384ff49b8c001d1a6692ecf925a68de16b07b8d28e0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RlrSZHdAAiDVmDoKP+XE3AXkLlLhSQWq6hbnYFk0cdnema0e8M8bAIgt/VBfdaS8jb5TvwzId1Xx+wkZlK/4Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T07:25:27.635262Z","bundle_sha256":"69550b85edd2dd5f4e27c2f022b444a8afffdd25954f6a174ae31c959ffddf51"}}