{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:YBXSV3WSJXCYE3OETAKYRJGG6H","short_pith_number":"pith:YBXSV3WS","canonical_record":{"source":{"id":"2207.02530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2022-07-06T09:18:48Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"9b32651debc7aaf538b23fdbcc4008a1555191193afa432cbe9799c8aeeb79f4","abstract_canon_sha256":"7b34c51a28835b0e44fea5a19f96f7edfe16d0061f7eb41deb3aba002c6c386b"},"schema_version":"1.0"},"canonical_sha256":"c06f2aeed24dc5826dc4981588a4c6f1e08bf6aa49f12754907401e7c0f1e366","source":{"kind":"arxiv","id":"2207.02530","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.02530","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"arxiv_version","alias_value":"2207.02530v1","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.02530","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"pith_short_12","alias_value":"YBXSV3WSJXCY","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"pith_short_16","alias_value":"YBXSV3WSJXCYE3OE","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"pith_short_8","alias_value":"YBXSV3WS","created_at":"2026-07-05T05:28:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:YBXSV3WSJXCYE3OETAKYRJGG6H","target":"record","payload":{"canonical_record":{"source":{"id":"2207.02530","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2022-07-06T09:18:48Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"9b32651debc7aaf538b23fdbcc4008a1555191193afa432cbe9799c8aeeb79f4","abstract_canon_sha256":"7b34c51a28835b0e44fea5a19f96f7edfe16d0061f7eb41deb3aba002c6c386b"},"schema_version":"1.0"},"canonical_sha256":"c06f2aeed24dc5826dc4981588a4c6f1e08bf6aa49f12754907401e7c0f1e366","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:28:24.424383Z","signature_b64":"MzJBqFnj1a0mHG6+b3Lpe3U16HKLYJBqUVIjr1haSncsBq0ATD3fl/qBLUfJo8lOaAUvftkTkHPUzipBDs0ICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c06f2aeed24dc5826dc4981588a4c6f1e08bf6aa49f12754907401e7c0f1e366","last_reissued_at":"2026-07-05T05:28:24.423840Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:28:24.423840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.02530","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":"2026-07-05T05:28:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U+TGEigff2EVzeDmw0u7Qn9wugF6onXdKjg1Ib4MvgM+lrgdLfzjQgOi5KnxNDMqsFTh3YR+yXjuS81gJFyoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T16:06:19.918711Z"},"content_sha256":"ccc9791582d5fcb1367b80425993528c15a036d7cd7931dc853300869ed262a4","schema_version":"1.0","event_id":"sha256:ccc9791582d5fcb1367b80425993528c15a036d7cd7931dc853300869ed262a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:YBXSV3WSJXCYE3OETAKYRJGG6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topology, Vorticity and Limit Cycle in a Stabilized Kuramoto-Sivashinsky Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.AO","authors_text":"Chunxiao Shi, J. M. Kosterlitz, Ping Ao, Xiaomei Zhu, Yong-Cong Chen","submitted_at":"2022-07-06T09:18:48Z","abstract_excerpt":"A noisy stabilized Kuramoto-Sivashinsky equation is analyzed by stochastic decomposition. For values of control parameter for which periodic stationary patterns exist, the dynamics can be decomposed into diffusive and transverse parts which act on a stochastic potential. The relative positions of stationary states in the stochastic global potential landscape can be obtained from the topology spanned by the low-lying eigenmodes which inter-connect them. Numerical simulations confirm the predicted landscape. The transverse component also predicts a universal class of vortex like circulations aro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.02530","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/2207.02530/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":"2026-07-05T05:28:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JOrmcPcYboUTHKImdLKpppUApevPvAp7TmWdNwsPe6UOLnjUkL11hcWCF7jXmmhkRyz7REQgET2pOJ/3wlShBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T16:06:19.919100Z"},"content_sha256":"60c2d4c3179e79c8ac73ceb1d632f7b2b8e480b720187e26edd6e26ab8f9ad59","schema_version":"1.0","event_id":"sha256:60c2d4c3179e79c8ac73ceb1d632f7b2b8e480b720187e26edd6e26ab8f9ad59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YBXSV3WSJXCYE3OETAKYRJGG6H/bundle.json","state_url":"https://pith.science/pith/YBXSV3WSJXCYE3OETAKYRJGG6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YBXSV3WSJXCYE3OETAKYRJGG6H/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":"2026-08-21T16:06:19Z","links":{"resolver":"https://pith.science/pith/YBXSV3WSJXCYE3OETAKYRJGG6H","bundle":"https://pith.science/pith/YBXSV3WSJXCYE3OETAKYRJGG6H/bundle.json","state":"https://pith.science/pith/YBXSV3WSJXCYE3OETAKYRJGG6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YBXSV3WSJXCYE3OETAKYRJGG6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:YBXSV3WSJXCYE3OETAKYRJGG6H","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":"7b34c51a28835b0e44fea5a19f96f7edfe16d0061f7eb41deb3aba002c6c386b","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2022-07-06T09:18:48Z","title_canon_sha256":"9b32651debc7aaf538b23fdbcc4008a1555191193afa432cbe9799c8aeeb79f4"},"schema_version":"1.0","source":{"id":"2207.02530","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.02530","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"arxiv_version","alias_value":"2207.02530v1","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.02530","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"pith_short_12","alias_value":"YBXSV3WSJXCY","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"pith_short_16","alias_value":"YBXSV3WSJXCYE3OE","created_at":"2026-07-05T05:28:24Z"},{"alias_kind":"pith_short_8","alias_value":"YBXSV3WS","created_at":"2026-07-05T05:28:24Z"}],"graph_snapshots":[{"event_id":"sha256:60c2d4c3179e79c8ac73ceb1d632f7b2b8e480b720187e26edd6e26ab8f9ad59","target":"graph","created_at":"2026-07-05T05:28:24Z","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/2207.02530/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A noisy stabilized Kuramoto-Sivashinsky equation is analyzed by stochastic decomposition. For values of control parameter for which periodic stationary patterns exist, the dynamics can be decomposed into diffusive and transverse parts which act on a stochastic potential. The relative positions of stationary states in the stochastic global potential landscape can be obtained from the topology spanned by the low-lying eigenmodes which inter-connect them. Numerical simulations confirm the predicted landscape. The transverse component also predicts a universal class of vortex like circulations aro","authors_text":"Chunxiao Shi, J. M. Kosterlitz, Ping Ao, Xiaomei Zhu, Yong-Cong Chen","cross_cats":["nlin.PS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2022-07-06T09:18:48Z","title":"Topology, Vorticity and Limit Cycle in a Stabilized Kuramoto-Sivashinsky Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.02530","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:ccc9791582d5fcb1367b80425993528c15a036d7cd7931dc853300869ed262a4","target":"record","created_at":"2026-07-05T05:28:24Z","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":"7b34c51a28835b0e44fea5a19f96f7edfe16d0061f7eb41deb3aba002c6c386b","cross_cats_sorted":["nlin.PS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2022-07-06T09:18:48Z","title_canon_sha256":"9b32651debc7aaf538b23fdbcc4008a1555191193afa432cbe9799c8aeeb79f4"},"schema_version":"1.0","source":{"id":"2207.02530","kind":"arxiv","version":1}},"canonical_sha256":"c06f2aeed24dc5826dc4981588a4c6f1e08bf6aa49f12754907401e7c0f1e366","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c06f2aeed24dc5826dc4981588a4c6f1e08bf6aa49f12754907401e7c0f1e366","first_computed_at":"2026-07-05T05:28:24.423840Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:28:24.423840Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MzJBqFnj1a0mHG6+b3Lpe3U16HKLYJBqUVIjr1haSncsBq0ATD3fl/qBLUfJo8lOaAUvftkTkHPUzipBDs0ICA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:28:24.424383Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.02530","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccc9791582d5fcb1367b80425993528c15a036d7cd7931dc853300869ed262a4","sha256:60c2d4c3179e79c8ac73ceb1d632f7b2b8e480b720187e26edd6e26ab8f9ad59"],"state_sha256":"2b13aedd47c2785f1a8fba9760ee61ac2bd170ca3a7a972546709ef38fbfb7c9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Afh6bjLvOEtfM80bBK1C8fWZCb6bUK8u7oOoetsEYcx0z6X6SmeW7yUOpR9AvO+CUDmIdq3KzOH6BHOYdY4kDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T16:06:19.921821Z","bundle_sha256":"018dfd0f0832117e3f3b2b936f9ba4abe0ebe1d14f072491e8e9be0dcecfe120"}}