{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:AUWEAL3CCJYV3NTSCQGOJUBCFS","short_pith_number":"pith:AUWEAL3C","canonical_record":{"source":{"id":"1801.00295","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T14:42:34Z","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"title_canon_sha256":"0408b4673ba331b0e4512553c880a256affb62fd5a65fa9904a53f2223746479","abstract_canon_sha256":"36c8a733159a5b009551377c6ed3b16da6a83e6d62221943fa4f1529de747d0f"},"schema_version":"1.0"},"canonical_sha256":"052c402f6212715db672140ce4d0222c92cd6c6f7f4fa7182aeed0a22cafb4a9","source":{"kind":"arxiv","id":"1801.00295","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00295","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00295v4","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00295","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"pith_short_12","alias_value":"AUWEAL3CCJYV","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AUWEAL3CCJYV3NTS","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AUWEAL3C","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:AUWEAL3CCJYV3NTSCQGOJUBCFS","target":"record","payload":{"canonical_record":{"source":{"id":"1801.00295","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T14:42:34Z","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"title_canon_sha256":"0408b4673ba331b0e4512553c880a256affb62fd5a65fa9904a53f2223746479","abstract_canon_sha256":"36c8a733159a5b009551377c6ed3b16da6a83e6d62221943fa4f1529de747d0f"},"schema_version":"1.0"},"canonical_sha256":"052c402f6212715db672140ce4d0222c92cd6c6f7f4fa7182aeed0a22cafb4a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:09.533253Z","signature_b64":"eL4f/7RRo9iVOw+BngYHrBewChLkKwxsdES0gnMw1UnaN6ijoInMT21/xIqh5PCkFwQ/HlfBWWLF3maN32LLAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"052c402f6212715db672140ce4d0222c92cd6c6f7f4fa7182aeed0a22cafb4a9","last_reissued_at":"2026-05-17T23:52:09.532707Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:09.532707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.00295","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:52:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i6yFdZoaJ2LahEd5iKB8Ik18CHIQGfl8CfDp/6ku7EaOaEMkMA/VGQO7p3uJU3D/eKwT6vnlpVhEcgpKpOUGCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:51:22.330009Z"},"content_sha256":"58ad9d93c62286c13a647ac0dfde30e994f0516829a5a4fac950968e51c4cf5d","schema_version":"1.0","event_id":"sha256:58ad9d93c62286c13a647ac0dfde30e994f0516829a5a4fac950968e51c4cf5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:AUWEAL3CCJYV3NTSCQGOJUBCFS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Moutard transform for the conductivity equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"2), (2) Lomonosov Moscow State University, (3) CMAP, 4) ((1) L.D. Landau Institute for Theoretical Physics, (4) Institute of Earthquake Prediction, Ecole polytechnique, France, P.G. Grinevich (1, RAS, R.G. Novikov (3, Russia, Russia)","submitted_at":"2017-12-31T14:42:34Z","abstract_excerpt":"We construct Darboux-Moutard type transforms for the two-dimensional conductivity equation. This result continues our recent studies of Darboux-Moutard type transforms for generalized analytic functions. In addition, at least, some of the Darboux-Moutard type transforms of the present work admit direct extension to the conductivity equation in multidimensions. Relations to the Schr\\\"odinger equation at zero energy are also shown."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00295","kind":"arxiv","version":4},"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":"2026-05-17T23:52:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6On5hcWSeezD3kr/lL4829diqGZ9lifAT+MEmD6iYqkJnIwsZIct+ZWVCUJL59rRtrnSBVh+DiJ5eYlyKa1EAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T17:51:22.330411Z"},"content_sha256":"10f684794ca8635013fe30343bcab980cd0cf2b3444fba669224875001cb04d5","schema_version":"1.0","event_id":"sha256:10f684794ca8635013fe30343bcab980cd0cf2b3444fba669224875001cb04d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AUWEAL3CCJYV3NTSCQGOJUBCFS/bundle.json","state_url":"https://pith.science/pith/AUWEAL3CCJYV3NTSCQGOJUBCFS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AUWEAL3CCJYV3NTSCQGOJUBCFS/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":"2026-05-29T17:51:22Z","links":{"resolver":"https://pith.science/pith/AUWEAL3CCJYV3NTSCQGOJUBCFS","bundle":"https://pith.science/pith/AUWEAL3CCJYV3NTSCQGOJUBCFS/bundle.json","state":"https://pith.science/pith/AUWEAL3CCJYV3NTSCQGOJUBCFS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AUWEAL3CCJYV3NTSCQGOJUBCFS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AUWEAL3CCJYV3NTSCQGOJUBCFS","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":"36c8a733159a5b009551377c6ed3b16da6a83e6d62221943fa4f1529de747d0f","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T14:42:34Z","title_canon_sha256":"0408b4673ba331b0e4512553c880a256affb62fd5a65fa9904a53f2223746479"},"schema_version":"1.0","source":{"id":"1801.00295","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.00295","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"arxiv_version","alias_value":"1801.00295v4","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.00295","created_at":"2026-05-17T23:52:09Z"},{"alias_kind":"pith_short_12","alias_value":"AUWEAL3CCJYV","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AUWEAL3CCJYV3NTS","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AUWEAL3C","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:10f684794ca8635013fe30343bcab980cd0cf2b3444fba669224875001cb04d5","target":"graph","created_at":"2026-05-17T23:52:09Z","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 construct Darboux-Moutard type transforms for the two-dimensional conductivity equation. This result continues our recent studies of Darboux-Moutard type transforms for generalized analytic functions. In addition, at least, some of the Darboux-Moutard type transforms of the present work admit direct extension to the conductivity equation in multidimensions. Relations to the Schr\\\"odinger equation at zero energy are also shown.","authors_text":"2), (2) Lomonosov Moscow State University, (3) CMAP, 4) ((1) L.D. Landau Institute for Theoretical Physics, (4) Institute of Earthquake Prediction, Ecole polytechnique, France, P.G. Grinevich (1, RAS, R.G. Novikov (3, Russia, Russia)","cross_cats":["math.AP","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T14:42:34Z","title":"Moutard transform for the conductivity equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.00295","kind":"arxiv","version":4},"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":"sha256:58ad9d93c62286c13a647ac0dfde30e994f0516829a5a4fac950968e51c4cf5d","target":"record","created_at":"2026-05-17T23:52:09Z","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":"36c8a733159a5b009551377c6ed3b16da6a83e6d62221943fa4f1529de747d0f","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-12-31T14:42:34Z","title_canon_sha256":"0408b4673ba331b0e4512553c880a256affb62fd5a65fa9904a53f2223746479"},"schema_version":"1.0","source":{"id":"1801.00295","kind":"arxiv","version":4}},"canonical_sha256":"052c402f6212715db672140ce4d0222c92cd6c6f7f4fa7182aeed0a22cafb4a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"052c402f6212715db672140ce4d0222c92cd6c6f7f4fa7182aeed0a22cafb4a9","first_computed_at":"2026-05-17T23:52:09.532707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:09.532707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eL4f/7RRo9iVOw+BngYHrBewChLkKwxsdES0gnMw1UnaN6ijoInMT21/xIqh5PCkFwQ/HlfBWWLF3maN32LLAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:09.533253Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.00295","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58ad9d93c62286c13a647ac0dfde30e994f0516829a5a4fac950968e51c4cf5d","sha256:10f684794ca8635013fe30343bcab980cd0cf2b3444fba669224875001cb04d5"],"state_sha256":"16b3e7c96c558e940b18f7166f4b501dddd2275cc5992f23e007f39c7bc7c034"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uuVxAN/tIxVy8dom9LkvX9iTxRgWIsLI6dZRNIBwjRSQpy7iXzBR4wk2WYhhnpQmpFwc+hQEdMhDAfUgzOCcDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T17:51:22.333525Z","bundle_sha256":"6271834cb3f860c31e166b9352d0d5ab0980f20ba939242bf1419282bae1934f"}}