{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:M52HQGM5UTJQTC7S5JIXLSKIOV","short_pith_number":"pith:M52HQGM5","canonical_record":{"source":{"id":"1312.5427","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-19T07:37:41Z","cross_cats_sorted":[],"title_canon_sha256":"37f296591e984eaf350788c90e5b51993174ca88479cfe49ce98485e51536866","abstract_canon_sha256":"a1ba2df808e2154af1479aa9ea732502f26247d8a8eeef2102a20e915664ed5f"},"schema_version":"1.0"},"canonical_sha256":"677478199da4d3098bf2ea5175c9487540ccc53cfe0a813be697662e8cdfce6e","source":{"kind":"arxiv","id":"1312.5427","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5427","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5427v1","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5427","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"pith_short_12","alias_value":"M52HQGM5UTJQ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M52HQGM5UTJQTC7S","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M52HQGM5","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:M52HQGM5UTJQTC7S5JIXLSKIOV","target":"record","payload":{"canonical_record":{"source":{"id":"1312.5427","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-19T07:37:41Z","cross_cats_sorted":[],"title_canon_sha256":"37f296591e984eaf350788c90e5b51993174ca88479cfe49ce98485e51536866","abstract_canon_sha256":"a1ba2df808e2154af1479aa9ea732502f26247d8a8eeef2102a20e915664ed5f"},"schema_version":"1.0"},"canonical_sha256":"677478199da4d3098bf2ea5175c9487540ccc53cfe0a813be697662e8cdfce6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:04:14.801361Z","signature_b64":"U+zWHIVX2rlxYL7CSzQf0jDi9OOAZo4SCgcO/0WPKZUSoY1CrQRXeCou0DluIE33gpWtop4pQSlBht7MFVPFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"677478199da4d3098bf2ea5175c9487540ccc53cfe0a813be697662e8cdfce6e","last_reissued_at":"2026-05-18T03:04:14.800964Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:04:14.800964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.5427","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":"2026-05-18T03:04:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jKTc5lHGGLSo5vtjA446+TWZQI6dB+OhWgnetA+g7imk83+S93xMrblL04wuS4oRZKnaCnl29/J0Q0gu5afnBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:50:43.035514Z"},"content_sha256":"eefeadddcb5bde7abeb90934cebb69907125f0013855f187cc50512c15536c9e","schema_version":"1.0","event_id":"sha256:eefeadddcb5bde7abeb90934cebb69907125f0013855f187cc50512c15536c9e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:M52HQGM5UTJQTC7S5JIXLSKIOV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Novikov-Veselov Equation: Theory and Computation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Andreas Stahel, Jennifer L Mueller, Michael Music, Peter Perry, Ryan Croke, Samuli Siltanen","submitted_at":"2013-12-19T07:37:41Z","abstract_excerpt":"Recent progress in the theory and computation for the Novikov-Veselov (NV) equation is reviewed with initial potentials decaying at infinity, focusing mainly on the zero-energy case. The inverse scattering method for the zero-energy NV equation is presented in the context of Manakov triples, treating initial data of conductivity type rigorously. Special closed-form solutions are presented, including multisolitons, ring solitons, and breathers. The computational inverse scattering method is used to study zero-energy exceptional points and the relationship between supercritical, critical, and su"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5427","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":"2026-05-18T03:04:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y3g0WWHV1X84w5MoeFj+gbmQgcCAUq5YxlomKsoq5uhOWISXqAgNoyytz+Vi6JHikZ4lga/spBbvZC2xD8McAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:50:43.035949Z"},"content_sha256":"b1c5a86240b5d7d2562770b492b9ad61bbce6ba96ce108f47f18664b05992606","schema_version":"1.0","event_id":"sha256:b1c5a86240b5d7d2562770b492b9ad61bbce6ba96ce108f47f18664b05992606"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M52HQGM5UTJQTC7S5JIXLSKIOV/bundle.json","state_url":"https://pith.science/pith/M52HQGM5UTJQTC7S5JIXLSKIOV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M52HQGM5UTJQTC7S5JIXLSKIOV/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":"2026-05-26T22:50:43Z","links":{"resolver":"https://pith.science/pith/M52HQGM5UTJQTC7S5JIXLSKIOV","bundle":"https://pith.science/pith/M52HQGM5UTJQTC7S5JIXLSKIOV/bundle.json","state":"https://pith.science/pith/M52HQGM5UTJQTC7S5JIXLSKIOV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M52HQGM5UTJQTC7S5JIXLSKIOV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:M52HQGM5UTJQTC7S5JIXLSKIOV","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":"a1ba2df808e2154af1479aa9ea732502f26247d8a8eeef2102a20e915664ed5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-19T07:37:41Z","title_canon_sha256":"37f296591e984eaf350788c90e5b51993174ca88479cfe49ce98485e51536866"},"schema_version":"1.0","source":{"id":"1312.5427","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.5427","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"arxiv_version","alias_value":"1312.5427v1","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.5427","created_at":"2026-05-18T03:04:14Z"},{"alias_kind":"pith_short_12","alias_value":"M52HQGM5UTJQ","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"M52HQGM5UTJQTC7S","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"M52HQGM5","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:b1c5a86240b5d7d2562770b492b9ad61bbce6ba96ce108f47f18664b05992606","target":"graph","created_at":"2026-05-18T03:04:14Z","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":"Recent progress in the theory and computation for the Novikov-Veselov (NV) equation is reviewed with initial potentials decaying at infinity, focusing mainly on the zero-energy case. The inverse scattering method for the zero-energy NV equation is presented in the context of Manakov triples, treating initial data of conductivity type rigorously. Special closed-form solutions are presented, including multisolitons, ring solitons, and breathers. The computational inverse scattering method is used to study zero-energy exceptional points and the relationship between supercritical, critical, and su","authors_text":"Andreas Stahel, Jennifer L Mueller, Michael Music, Peter Perry, Ryan Croke, Samuli Siltanen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-19T07:37:41Z","title":"The Novikov-Veselov Equation: Theory and Computation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.5427","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:eefeadddcb5bde7abeb90934cebb69907125f0013855f187cc50512c15536c9e","target":"record","created_at":"2026-05-18T03:04:14Z","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":"a1ba2df808e2154af1479aa9ea732502f26247d8a8eeef2102a20e915664ed5f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-12-19T07:37:41Z","title_canon_sha256":"37f296591e984eaf350788c90e5b51993174ca88479cfe49ce98485e51536866"},"schema_version":"1.0","source":{"id":"1312.5427","kind":"arxiv","version":1}},"canonical_sha256":"677478199da4d3098bf2ea5175c9487540ccc53cfe0a813be697662e8cdfce6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"677478199da4d3098bf2ea5175c9487540ccc53cfe0a813be697662e8cdfce6e","first_computed_at":"2026-05-18T03:04:14.800964Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:04:14.800964Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U+zWHIVX2rlxYL7CSzQf0jDi9OOAZo4SCgcO/0WPKZUSoY1CrQRXeCou0DluIE33gpWtop4pQSlBht7MFVPFCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:04:14.801361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.5427","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eefeadddcb5bde7abeb90934cebb69907125f0013855f187cc50512c15536c9e","sha256:b1c5a86240b5d7d2562770b492b9ad61bbce6ba96ce108f47f18664b05992606"],"state_sha256":"334145ca46063f41f5026dc1a4a2b51795cbe057e7686d1eb201a520d372f125"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DRG+8rgzel4PrNiz57FKXIB57blua+/HIGO01xcLvO9wDWVm9usvPClosZ1f0jbLMKij/Q2mFxp9Hc1gLWL2AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T22:50:43.039545Z","bundle_sha256":"dff220b30934fe275bc4f42a2ae0fd3ed09d80c6356f4060cb3848398f0784c6"}}