{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IOH7GASZKY2TXGKD5UOQBTH4F7","short_pith_number":"pith:IOH7GASZ","canonical_record":{"source":{"id":"1611.00215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-01T13:20:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ef10ae06e2c118e4c59fc9608724153724bb9d9ad26a30b04acc57158b70fbd0","abstract_canon_sha256":"0a34d1a83f97788aef3ddf44a5f702f5efe53ff1175a2361f75d4573fc130a82"},"schema_version":"1.0"},"canonical_sha256":"438ff3025956353b9943ed1d00ccfc2ff2d2a04f6e305e2c9d632919430dee94","source":{"kind":"arxiv","id":"1611.00215","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00215","created_at":"2026-05-18T01:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00215v1","created_at":"2026-05-18T01:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00215","created_at":"2026-05-18T01:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"IOH7GASZKY2T","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IOH7GASZKY2TXGKD","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IOH7GASZ","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IOH7GASZKY2TXGKD5UOQBTH4F7","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-01T13:20:50Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"ef10ae06e2c118e4c59fc9608724153724bb9d9ad26a30b04acc57158b70fbd0","abstract_canon_sha256":"0a34d1a83f97788aef3ddf44a5f702f5efe53ff1175a2361f75d4573fc130a82"},"schema_version":"1.0"},"canonical_sha256":"438ff3025956353b9943ed1d00ccfc2ff2d2a04f6e305e2c9d632919430dee94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:41.235532Z","signature_b64":"9AR7eBKPfp8gq/gSPhhYJknajQQieWM/rXO542IPrkczXg31B+/984CThN+sFEQfzkxKcRErFIQ5nT9IL8btBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"438ff3025956353b9943ed1d00ccfc2ff2d2a04f6e305e2c9d632919430dee94","last_reissued_at":"2026-05-18T01:00:41.235049Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:41.235049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00215","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":"2026-05-18T01:00:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"124upyN7afcoW7+GnnznItaKOW/KC+upO80mK39S0xGt7Z90cZVE9mCSG8jUon9WbiROdjWZV+rn2L0NYZJhAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:40:20.585200Z"},"content_sha256":"b37f89b1209b820158672135b5610dc68205a9befb7cc57228937083300da051","schema_version":"1.0","event_id":"sha256:b37f89b1209b820158672135b5610dc68205a9befb7cc57228937083300da051"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IOH7GASZKY2TXGKD5UOQBTH4F7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Soliton Solutions and their (In)stability for the Focusing Davey-Stewartson II Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Peter A. Perry","submitted_at":"2016-11-01T13:20:50Z","abstract_excerpt":"We give a rigorous mathematical analysis of the one-soliton solution of the focusing Davey-Stewartson II equation and a proof of its instability under perturbation. Building on the fundamental perturbation analysis of Gadyl'shin and Kiselev, we verify their Assumption 1 and use Fredholm determinants to globalize their perturbation analysis."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00215","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":"2026-05-18T01:00:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BbDcT6FHtMQdAv/jT/Pf+srXZDcQGKjrjDoVslwwvbRqO0oOOTIJLFkSaV1oihtsj4f1QO43Sp+0Ofb5MAlZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:40:20.585578Z"},"content_sha256":"bbac64a62de6416c8ff2fcfdad4d802fc9cd4a8f102cfa77873241435fef2675","schema_version":"1.0","event_id":"sha256:bbac64a62de6416c8ff2fcfdad4d802fc9cd4a8f102cfa77873241435fef2675"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IOH7GASZKY2TXGKD5UOQBTH4F7/bundle.json","state_url":"https://pith.science/pith/IOH7GASZKY2TXGKD5UOQBTH4F7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IOH7GASZKY2TXGKD5UOQBTH4F7/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":"2026-07-04T21:40:20Z","links":{"resolver":"https://pith.science/pith/IOH7GASZKY2TXGKD5UOQBTH4F7","bundle":"https://pith.science/pith/IOH7GASZKY2TXGKD5UOQBTH4F7/bundle.json","state":"https://pith.science/pith/IOH7GASZKY2TXGKD5UOQBTH4F7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IOH7GASZKY2TXGKD5UOQBTH4F7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IOH7GASZKY2TXGKD5UOQBTH4F7","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":"0a34d1a83f97788aef3ddf44a5f702f5efe53ff1175a2361f75d4573fc130a82","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-01T13:20:50Z","title_canon_sha256":"ef10ae06e2c118e4c59fc9608724153724bb9d9ad26a30b04acc57158b70fbd0"},"schema_version":"1.0","source":{"id":"1611.00215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00215","created_at":"2026-05-18T01:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00215v1","created_at":"2026-05-18T01:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00215","created_at":"2026-05-18T01:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"IOH7GASZKY2T","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IOH7GASZKY2TXGKD","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IOH7GASZ","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:bbac64a62de6416c8ff2fcfdad4d802fc9cd4a8f102cfa77873241435fef2675","target":"graph","created_at":"2026-05-18T01:00:41Z","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 give a rigorous mathematical analysis of the one-soliton solution of the focusing Davey-Stewartson II equation and a proof of its instability under perturbation. Building on the fundamental perturbation analysis of Gadyl'shin and Kiselev, we verify their Assumption 1 and use Fredholm determinants to globalize their perturbation analysis.","authors_text":"Peter A. Perry","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-01T13:20:50Z","title":"Soliton Solutions and their (In)stability for the Focusing Davey-Stewartson II Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00215","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:b37f89b1209b820158672135b5610dc68205a9befb7cc57228937083300da051","target":"record","created_at":"2026-05-18T01:00:41Z","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":"0a34d1a83f97788aef3ddf44a5f702f5efe53ff1175a2361f75d4573fc130a82","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-11-01T13:20:50Z","title_canon_sha256":"ef10ae06e2c118e4c59fc9608724153724bb9d9ad26a30b04acc57158b70fbd0"},"schema_version":"1.0","source":{"id":"1611.00215","kind":"arxiv","version":1}},"canonical_sha256":"438ff3025956353b9943ed1d00ccfc2ff2d2a04f6e305e2c9d632919430dee94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"438ff3025956353b9943ed1d00ccfc2ff2d2a04f6e305e2c9d632919430dee94","first_computed_at":"2026-05-18T01:00:41.235049Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:41.235049Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9AR7eBKPfp8gq/gSPhhYJknajQQieWM/rXO542IPrkczXg31B+/984CThN+sFEQfzkxKcRErFIQ5nT9IL8btBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:41.235532Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b37f89b1209b820158672135b5610dc68205a9befb7cc57228937083300da051","sha256:bbac64a62de6416c8ff2fcfdad4d802fc9cd4a8f102cfa77873241435fef2675"],"state_sha256":"4c9fd49b961d0094da58859ad0d286122eaaf19916383f229a1518f29e4020bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VZGo4LfCuOAnOZTCn2yrAJH/m4FXP+9fyBv2mvPlma9K8EIz5BoB65nqF0KJpdA4TPb14szHnZ3/fkD+LbqBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T21:40:20.587506Z","bundle_sha256":"a6625b19b0fb4d03d1df3b7d94d58ef400b3d615d9bc01b012697297c47de89d"}}