{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:2M3CSOK6P2DJLQQMN2LRSZ2ZVS","short_pith_number":"pith:2M3CSOK6","canonical_record":{"source":{"id":"1311.3884","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-15T15:41:16Z","cross_cats_sorted":[],"title_canon_sha256":"25ffe0b115247bb0f515af9b7509675715f06d5f003d1636bb0369004ed61237","abstract_canon_sha256":"28218c5ff72e5826aafef661b6b329c548dc244884b7c1fa8aff795881029ebe"},"schema_version":"1.0"},"canonical_sha256":"d33629395e7e8695c20c6e97196759ac81fd8239bf479ae9064cae374a9a6eec","source":{"kind":"arxiv","id":"1311.3884","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3884","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3884v2","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3884","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"2M3CSOK6P2DJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2M3CSOK6P2DJLQQM","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2M3CSOK6","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:2M3CSOK6P2DJLQQMN2LRSZ2ZVS","target":"record","payload":{"canonical_record":{"source":{"id":"1311.3884","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-15T15:41:16Z","cross_cats_sorted":[],"title_canon_sha256":"25ffe0b115247bb0f515af9b7509675715f06d5f003d1636bb0369004ed61237","abstract_canon_sha256":"28218c5ff72e5826aafef661b6b329c548dc244884b7c1fa8aff795881029ebe"},"schema_version":"1.0"},"canonical_sha256":"d33629395e7e8695c20c6e97196759ac81fd8239bf479ae9064cae374a9a6eec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:52.275485Z","signature_b64":"W5uICl7HPC4qPSRPM+UNnebr9183yFVsXQdccBMhrM18JtCyqGuH7z3SusKg2lzpcksfKPiG2eMAbOnfIZeoAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d33629395e7e8695c20c6e97196759ac81fd8239bf479ae9064cae374a9a6eec","last_reissued_at":"2026-05-18T02:35:52.275003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:52.275003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.3884","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":"2026-05-18T02:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wC19yhWF98XxtTlffbgbIYs/ygyU9WVmGbpW8daW/qRuSorEW0G/AmuIyvgNRpoZdCS1rYL+/L9LXDgovBVxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:28:28.070709Z"},"content_sha256":"176b0379fa62aca28e9613da24ac9c62d020afbddc9d481bad632139b38c2dca","schema_version":"1.0","event_id":"sha256:176b0379fa62aca28e9613da24ac9c62d020afbddc9d481bad632139b38c2dca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:2M3CSOK6P2DJLQQMN2LRSZ2ZVS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Pattern Transitions in Unstable Viscous Convective Medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.PS","authors_text":"A.V. Kirichok, I.V. Gushchin, V.M. Kuklin","submitted_at":"2013-11-15T15:41:16Z","abstract_excerpt":"Convection in a thin layer of liquid (gas) with temperature dependent viscosity between poorly heat conducting boundaries is studied within framework of the Proctor-Sivashinsky model. This model is examined in order to study both the flow pattern formation and the second-order structural phase transitions as between patterns with translational invariance as well as between structures with broken translational invariance but keeping a long-range order. The spatial spectrum of arising patterns and estimation of their visual defectiveness are analyzed. The relation between the density of pattern "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3884","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":"2026-05-18T02:35:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yXZ+9EO1bHz38O/R4knmDu0KQOCnNQ6Z6/TtiG+h0tp6Y8PGcDcl0U28iPsrZ5zzGPNI6DSnZsLHu1wHPFgYCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:28:28.071056Z"},"content_sha256":"7b03abb56654152bbc27126e907c2e2a127e9d6e7f75256bcf8d438164c44d8b","schema_version":"1.0","event_id":"sha256:7b03abb56654152bbc27126e907c2e2a127e9d6e7f75256bcf8d438164c44d8b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2M3CSOK6P2DJLQQMN2LRSZ2ZVS/bundle.json","state_url":"https://pith.science/pith/2M3CSOK6P2DJLQQMN2LRSZ2ZVS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2M3CSOK6P2DJLQQMN2LRSZ2ZVS/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":"2026-06-24T16:28:28Z","links":{"resolver":"https://pith.science/pith/2M3CSOK6P2DJLQQMN2LRSZ2ZVS","bundle":"https://pith.science/pith/2M3CSOK6P2DJLQQMN2LRSZ2ZVS/bundle.json","state":"https://pith.science/pith/2M3CSOK6P2DJLQQMN2LRSZ2ZVS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2M3CSOK6P2DJLQQMN2LRSZ2ZVS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:2M3CSOK6P2DJLQQMN2LRSZ2ZVS","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":"28218c5ff72e5826aafef661b6b329c548dc244884b7c1fa8aff795881029ebe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-15T15:41:16Z","title_canon_sha256":"25ffe0b115247bb0f515af9b7509675715f06d5f003d1636bb0369004ed61237"},"schema_version":"1.0","source":{"id":"1311.3884","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.3884","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"arxiv_version","alias_value":"1311.3884v2","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3884","created_at":"2026-05-18T02:35:52Z"},{"alias_kind":"pith_short_12","alias_value":"2M3CSOK6P2DJ","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"2M3CSOK6P2DJLQQM","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"2M3CSOK6","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:7b03abb56654152bbc27126e907c2e2a127e9d6e7f75256bcf8d438164c44d8b","target":"graph","created_at":"2026-05-18T02:35:52Z","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":"Convection in a thin layer of liquid (gas) with temperature dependent viscosity between poorly heat conducting boundaries is studied within framework of the Proctor-Sivashinsky model. This model is examined in order to study both the flow pattern formation and the second-order structural phase transitions as between patterns with translational invariance as well as between structures with broken translational invariance but keeping a long-range order. The spatial spectrum of arising patterns and estimation of their visual defectiveness are analyzed. The relation between the density of pattern ","authors_text":"A.V. Kirichok, I.V. Gushchin, V.M. Kuklin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-15T15:41:16Z","title":"Pattern Transitions in Unstable Viscous Convective Medium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3884","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":"sha256:176b0379fa62aca28e9613da24ac9c62d020afbddc9d481bad632139b38c2dca","target":"record","created_at":"2026-05-18T02:35:52Z","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":"28218c5ff72e5826aafef661b6b329c548dc244884b7c1fa8aff795881029ebe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-11-15T15:41:16Z","title_canon_sha256":"25ffe0b115247bb0f515af9b7509675715f06d5f003d1636bb0369004ed61237"},"schema_version":"1.0","source":{"id":"1311.3884","kind":"arxiv","version":2}},"canonical_sha256":"d33629395e7e8695c20c6e97196759ac81fd8239bf479ae9064cae374a9a6eec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d33629395e7e8695c20c6e97196759ac81fd8239bf479ae9064cae374a9a6eec","first_computed_at":"2026-05-18T02:35:52.275003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:52.275003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W5uICl7HPC4qPSRPM+UNnebr9183yFVsXQdccBMhrM18JtCyqGuH7z3SusKg2lzpcksfKPiG2eMAbOnfIZeoAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:52.275485Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.3884","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:176b0379fa62aca28e9613da24ac9c62d020afbddc9d481bad632139b38c2dca","sha256:7b03abb56654152bbc27126e907c2e2a127e9d6e7f75256bcf8d438164c44d8b"],"state_sha256":"910b9be87cc99d514ad2d3a87fa5fafd8e0c743a38255f7059191d5fe4be7f4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VTnyPVmW5+50BfcSvePmxMWDY5XDC55eXmctglSpXFkmmr6sJFEzdJUKrpvjxOu1SHodmeb6hu5dGd+lIJ6ICw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T16:28:28.073018Z","bundle_sha256":"28b578f2f7896ffbab1272c0c0b09b1466051c9268871722b1a23ee679bd2233"}}