{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:SAZFWI7BT3QIHW3SZHOXIPWLJA","short_pith_number":"pith:SAZFWI7B","canonical_record":{"source":{"id":"0909.3499","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-09-18T18:40:06Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c606710dd4a568147279e8ba61585aa28224c602fe5c5af2e0950c22dbf6ce4f","abstract_canon_sha256":"239a0f4d9544d0578a8e9832257e040b5d2472d29b6632292490fdcb5026a9e9"},"schema_version":"1.0"},"canonical_sha256":"90325b23e19ee083db72c9dd743ecb4825985c590fb8042f06254ca66bdf6b13","source":{"kind":"arxiv","id":"0909.3499","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.3499","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"0909.3499v2","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.3499","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"SAZFWI7BT3QI","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SAZFWI7BT3QIHW3S","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SAZFWI7B","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:SAZFWI7BT3QIHW3SZHOXIPWLJA","target":"record","payload":{"canonical_record":{"source":{"id":"0909.3499","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-09-18T18:40:06Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"c606710dd4a568147279e8ba61585aa28224c602fe5c5af2e0950c22dbf6ce4f","abstract_canon_sha256":"239a0f4d9544d0578a8e9832257e040b5d2472d29b6632292490fdcb5026a9e9"},"schema_version":"1.0"},"canonical_sha256":"90325b23e19ee083db72c9dd743ecb4825985c590fb8042f06254ca66bdf6b13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:01.769046Z","signature_b64":"nQCGOJrm7xN5o8UhJTAcrWgaCFEj47pZFOcuPRb4qQMPFhAcdLColZpF5HrxvT8Mh2ZlvfdLkTfzQSJHQ316DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"90325b23e19ee083db72c9dd743ecb4825985c590fb8042f06254ca66bdf6b13","last_reissued_at":"2026-05-18T01:32:01.768618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:01.768618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.3499","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":"2026-05-18T01:32:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0K0YiE4E9WnMjUIli8WB3Ocv+/f0DIFStG8fNryKHJmy51Uy36kkJWuaNlJqB1aTppr5agkYMxUyRSLazHk6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:02:29.143081Z"},"content_sha256":"a1164b891cef9ad146b4a56bfbecd64f12d107bcf11c1aedf70f0c410051a134","schema_version":"1.0","event_id":"sha256:a1164b891cef9ad146b4a56bfbecd64f12d107bcf11c1aedf70f0c410051a134"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:SAZFWI7BT3QIHW3SZHOXIPWLJA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Cauchy Problem for the modified Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"nlin.SI","authors_text":"Gerald Teschl, Iryna Egorova","submitted_at":"2009-09-18T18:40:06Z","abstract_excerpt":"We solve the Cauchy problem for the modified Korteweg--de Vries equation with steplike quasi-periodic, finite-gap initial conditions under the assumption that the perturbations have a given number of derivatives and moments finite."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.3499","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":"2026-05-18T01:32:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HiWQSJnGSTijCkZ/gMoBVg1q/WWfYkn4TyiEl4fk/9ck9ECxx4dSEijuQQLh2tMMpSpXm3FH7v3tV3UwniIHDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:02:29.143450Z"},"content_sha256":"3467c299ad20335e4761b4a6fc3ba05edd12c1b61704ce746783182b6692f8a3","schema_version":"1.0","event_id":"sha256:3467c299ad20335e4761b4a6fc3ba05edd12c1b61704ce746783182b6692f8a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SAZFWI7BT3QIHW3SZHOXIPWLJA/bundle.json","state_url":"https://pith.science/pith/SAZFWI7BT3QIHW3SZHOXIPWLJA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SAZFWI7BT3QIHW3SZHOXIPWLJA/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":"2026-06-23T16:02:29Z","links":{"resolver":"https://pith.science/pith/SAZFWI7BT3QIHW3SZHOXIPWLJA","bundle":"https://pith.science/pith/SAZFWI7BT3QIHW3SZHOXIPWLJA/bundle.json","state":"https://pith.science/pith/SAZFWI7BT3QIHW3SZHOXIPWLJA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SAZFWI7BT3QIHW3SZHOXIPWLJA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:SAZFWI7BT3QIHW3SZHOXIPWLJA","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":"239a0f4d9544d0578a8e9832257e040b5d2472d29b6632292490fdcb5026a9e9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-09-18T18:40:06Z","title_canon_sha256":"c606710dd4a568147279e8ba61585aa28224c602fe5c5af2e0950c22dbf6ce4f"},"schema_version":"1.0","source":{"id":"0909.3499","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.3499","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"arxiv_version","alias_value":"0909.3499v2","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.3499","created_at":"2026-05-18T01:32:01Z"},{"alias_kind":"pith_short_12","alias_value":"SAZFWI7BT3QI","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"SAZFWI7BT3QIHW3S","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"SAZFWI7B","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:3467c299ad20335e4761b4a6fc3ba05edd12c1b61704ce746783182b6692f8a3","target":"graph","created_at":"2026-05-18T01:32:01Z","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 solve the Cauchy problem for the modified Korteweg--de Vries equation with steplike quasi-periodic, finite-gap initial conditions under the assumption that the perturbations have a given number of derivatives and moments finite.","authors_text":"Gerald Teschl, Iryna Egorova","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-09-18T18:40:06Z","title":"On the Cauchy Problem for the modified Korteweg-de Vries Equation with Steplike Finite-Gap Initial Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.3499","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:a1164b891cef9ad146b4a56bfbecd64f12d107bcf11c1aedf70f0c410051a134","target":"record","created_at":"2026-05-18T01:32:01Z","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":"239a0f4d9544d0578a8e9832257e040b5d2472d29b6632292490fdcb5026a9e9","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-09-18T18:40:06Z","title_canon_sha256":"c606710dd4a568147279e8ba61585aa28224c602fe5c5af2e0950c22dbf6ce4f"},"schema_version":"1.0","source":{"id":"0909.3499","kind":"arxiv","version":2}},"canonical_sha256":"90325b23e19ee083db72c9dd743ecb4825985c590fb8042f06254ca66bdf6b13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90325b23e19ee083db72c9dd743ecb4825985c590fb8042f06254ca66bdf6b13","first_computed_at":"2026-05-18T01:32:01.768618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:01.768618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nQCGOJrm7xN5o8UhJTAcrWgaCFEj47pZFOcuPRb4qQMPFhAcdLColZpF5HrxvT8Mh2ZlvfdLkTfzQSJHQ316DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:01.769046Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.3499","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1164b891cef9ad146b4a56bfbecd64f12d107bcf11c1aedf70f0c410051a134","sha256:3467c299ad20335e4761b4a6fc3ba05edd12c1b61704ce746783182b6692f8a3"],"state_sha256":"b87ed0fc777c200a6e261a798065be35362c9f2773bdabbae2dde96d5448d689"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HWYSZigGxW/VYdFKLEyG6CHbnlDSm+4ixPMMHREDLcDEfTW6pJ9obomFsr81TJwXqj5+422WsCkt+7wxvEfFAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:02:29.145469Z","bundle_sha256":"95ebd28ee0df710d8a74bd4fc84b1120aef1ee561698e97c0ebb4a77dc24dacf"}}