{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:3LFWGDQHQNNLZA53MRPLMHAZPQ","short_pith_number":"pith:3LFWGDQH","canonical_record":{"source":{"id":"0903.2167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-03-12T13:36:17Z","cross_cats_sorted":[],"title_canon_sha256":"a7927cef8e342ed63974eba6195620d4251cdb946c79baff82209e133680874b","abstract_canon_sha256":"ecd84dccd82fc76fa48e286bb591d0ba6c207cb2b306a26f0c3d5d291747bd57"},"schema_version":"1.0"},"canonical_sha256":"dacb630e07835abc83bb645eb61c197c337fd51845f4e42e1af5f6abc394e6b9","source":{"kind":"arxiv","id":"0903.2167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2167","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2167v1","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2167","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"3LFWGDQHQNNL","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3LFWGDQHQNNLZA53","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3LFWGDQH","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:3LFWGDQHQNNLZA53MRPLMHAZPQ","target":"record","payload":{"canonical_record":{"source":{"id":"0903.2167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-03-12T13:36:17Z","cross_cats_sorted":[],"title_canon_sha256":"a7927cef8e342ed63974eba6195620d4251cdb946c79baff82209e133680874b","abstract_canon_sha256":"ecd84dccd82fc76fa48e286bb591d0ba6c207cb2b306a26f0c3d5d291747bd57"},"schema_version":"1.0"},"canonical_sha256":"dacb630e07835abc83bb645eb61c197c337fd51845f4e42e1af5f6abc394e6b9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:03.400526Z","signature_b64":"w1tMjbSnZIt3bwXsWi2lIK2Hmljj8lEIInkswaYnxWTOZe5YwaXAtxQLUaEM8JOeEp0UrOq8FxVfQHD3nIk+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dacb630e07835abc83bb645eb61c197c337fd51845f4e42e1af5f6abc394e6b9","last_reissued_at":"2026-05-18T02:58:03.399717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:03.399717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0903.2167","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":"2026-05-18T02:58:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jFJwjeF9rxqEHgbshnNQ94eAP/W9ypXmX5IgbAOmg71v2WI4elcGYsFUF+fP97JMrcMFsqWI2ZCFXhjr4GiuBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:24:28.875765Z"},"content_sha256":"3984ac1e4adebdb22a8ae232888280084b2789f84cb81a15e9e1b25b042e7e70","schema_version":"1.0","event_id":"sha256:3984ac1e4adebdb22a8ae232888280084b2789f84cb81a15e9e1b25b042e7e70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:3LFWGDQHQNNLZA53MRPLMHAZPQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Dispersive Stabilization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Guy Metivier (IMB), Jeffrey Rauch","submitted_at":"2009-03-12T13:36:17Z","abstract_excerpt":"Ill posed linear and nonlinear initial value problems may be stabilized, that it converted to to well posed initial value problems, by the addition of purely nonscalar linear dispersive terms. This is a stability analog of the Turing instability. This idea applies to systems of quasilinear Schr\\\"odinger equations from nonlinear optics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2167","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":"2026-05-18T02:58:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Bzj94H95gyPcIccpW3qMUunLHS9OIG6bY+J+txGj7ewzh2tGpxYzryg4D5t2/I+/NIllgCAY2izT3HP7l9mCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:24:28.876110Z"},"content_sha256":"8ab51316719d129fcacf4b7b1e2938eed16082c9d0492e56aa880ade09fefb3e","schema_version":"1.0","event_id":"sha256:8ab51316719d129fcacf4b7b1e2938eed16082c9d0492e56aa880ade09fefb3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3LFWGDQHQNNLZA53MRPLMHAZPQ/bundle.json","state_url":"https://pith.science/pith/3LFWGDQHQNNLZA53MRPLMHAZPQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3LFWGDQHQNNLZA53MRPLMHAZPQ/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":"2026-06-24T21:24:28Z","links":{"resolver":"https://pith.science/pith/3LFWGDQHQNNLZA53MRPLMHAZPQ","bundle":"https://pith.science/pith/3LFWGDQHQNNLZA53MRPLMHAZPQ/bundle.json","state":"https://pith.science/pith/3LFWGDQHQNNLZA53MRPLMHAZPQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3LFWGDQHQNNLZA53MRPLMHAZPQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:3LFWGDQHQNNLZA53MRPLMHAZPQ","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":"ecd84dccd82fc76fa48e286bb591d0ba6c207cb2b306a26f0c3d5d291747bd57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-03-12T13:36:17Z","title_canon_sha256":"a7927cef8e342ed63974eba6195620d4251cdb946c79baff82209e133680874b"},"schema_version":"1.0","source":{"id":"0903.2167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.2167","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"arxiv_version","alias_value":"0903.2167v1","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2167","created_at":"2026-05-18T02:58:03Z"},{"alias_kind":"pith_short_12","alias_value":"3LFWGDQHQNNL","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"3LFWGDQHQNNLZA53","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"3LFWGDQH","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:8ab51316719d129fcacf4b7b1e2938eed16082c9d0492e56aa880ade09fefb3e","target":"graph","created_at":"2026-05-18T02:58:03Z","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":"Ill posed linear and nonlinear initial value problems may be stabilized, that it converted to to well posed initial value problems, by the addition of purely nonscalar linear dispersive terms. This is a stability analog of the Turing instability. This idea applies to systems of quasilinear Schr\\\"odinger equations from nonlinear optics.","authors_text":"Guy Metivier (IMB), Jeffrey Rauch","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-03-12T13:36:17Z","title":"Dispersive Stabilization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2167","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":"sha256:3984ac1e4adebdb22a8ae232888280084b2789f84cb81a15e9e1b25b042e7e70","target":"record","created_at":"2026-05-18T02:58:03Z","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":"ecd84dccd82fc76fa48e286bb591d0ba6c207cb2b306a26f0c3d5d291747bd57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2009-03-12T13:36:17Z","title_canon_sha256":"a7927cef8e342ed63974eba6195620d4251cdb946c79baff82209e133680874b"},"schema_version":"1.0","source":{"id":"0903.2167","kind":"arxiv","version":1}},"canonical_sha256":"dacb630e07835abc83bb645eb61c197c337fd51845f4e42e1af5f6abc394e6b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dacb630e07835abc83bb645eb61c197c337fd51845f4e42e1af5f6abc394e6b9","first_computed_at":"2026-05-18T02:58:03.399717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:58:03.399717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"w1tMjbSnZIt3bwXsWi2lIK2Hmljj8lEIInkswaYnxWTOZe5YwaXAtxQLUaEM8JOeEp0UrOq8FxVfQHD3nIk+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:58:03.400526Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.2167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3984ac1e4adebdb22a8ae232888280084b2789f84cb81a15e9e1b25b042e7e70","sha256:8ab51316719d129fcacf4b7b1e2938eed16082c9d0492e56aa880ade09fefb3e"],"state_sha256":"b1cd68e3c92cbda615eed999453d06a743bc3c4365d2c99461304cd4d929b04d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fa3R14RNorA9jSd1dZy8EBMvbXRL9IpcAusKThpcmFWXlJqj4IAsLMXacbIh5ovTt1uXJ6MUSrv0iwQjPGFTDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:24:28.878064Z","bundle_sha256":"6a28b80b53e54eebb252587523e65c19d48dcfcc748b9302cff20828d999fb1a"}}