{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:CXCADRI2Y73XOQHYDV7FJELAH5","short_pith_number":"pith:CXCADRI2","canonical_record":{"source":{"id":"2605.13802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T17:24:46Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"c9e4ef775885284a9a81cf6ea5c764ece42860912b225dbaedaa58157280873d","abstract_canon_sha256":"a461474fe0ba6c966c559e2674643749bf288f30d4e0ce455846fad156b07880"},"schema_version":"1.0"},"canonical_sha256":"15c401c51ac7f77740f81d7e5491603f6285856edcff14c8cf7b5dcfa5d49c59","source":{"kind":"arxiv","id":"2605.13802","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13802","created_at":"2026-05-18T02:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13802v1","created_at":"2026-05-18T02:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13802","created_at":"2026-05-18T02:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"CXCADRI2Y73X","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"CXCADRI2Y73XOQHY","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"CXCADRI2","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:CXCADRI2Y73XOQHYDV7FJELAH5","target":"record","payload":{"canonical_record":{"source":{"id":"2605.13802","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T17:24:46Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"c9e4ef775885284a9a81cf6ea5c764ece42860912b225dbaedaa58157280873d","abstract_canon_sha256":"a461474fe0ba6c966c559e2674643749bf288f30d4e0ce455846fad156b07880"},"schema_version":"1.0"},"canonical_sha256":"15c401c51ac7f77740f81d7e5491603f6285856edcff14c8cf7b5dcfa5d49c59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:15.498014Z","signature_b64":"qMSrn/2IOuKnX9yb9xbjquBGqKCxsg1Ul+GLKhxtH7INAoUyjRj09H/f40XPeCPDkM74i6VBlEPYLrZIuv8QAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15c401c51ac7f77740f81d7e5491603f6285856edcff14c8cf7b5dcfa5d49c59","last_reissued_at":"2026-05-18T02:44:15.497456Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:15.497456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.13802","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":"2026-05-18T02:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0GXUfPZi0czVrKycAT8bZ/SxtkJm4e2w/3MTwySyzlayf+5tVJmQyFjP4Ec5NANIeV8IQqk6dE9OssSOKdDDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:12:42.099568Z"},"content_sha256":"dc929005c72068e23c4538f93306feced6c4d8bb186ce3654b7f938548e654e8","schema_version":"1.0","event_id":"sha256:dc929005c72068e23c4538f93306feced6c4d8bb186ce3654b7f938548e654e8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:CXCADRI2Y73XOQHYDV7FJELAH5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Irregular SLE(4) martingales and isomonodromic deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Deriving the Loewner evolution of isomonodromic parameters constructs martingale observables for SLE(4) with double poles.","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Aleksandra Korzhenkova, Eveliina Peltola, Harini Desiraju","submitted_at":"2026-05-13T17:24:46Z","abstract_excerpt":"We consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the singularities, together with the Birkhoff (spectral) invariants owing to the presence of irregular singularities. Our first main result is the derivation of the Loewner evolution of these isomonodromic deformation parameters. Using this result, we construct martingale observables for Schramm-Loewner evolution (SLE(4)) processes in the presence of double poles. Geometrically, the expressions contain the pre-Schwarzian a"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our first main result is the derivation of the Loewner evolution of these isomonodromic deformation parameters. Using this result, we construct martingale observables for Schramm-Loewner evolution (SLE(4)) processes in the presence of double poles. Furthermore, we characterize these SLE(4) observables uniquely in terms of confluent BPZ equations of a CFT with central charge c=1.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The deformations are non-Fuchsian monodromy-preserving on the Riemann sphere, with the associated parameters comprising positions of singularities together with Birkhoff invariants due to irregular singularities; the derivation assumes these parameters admit a well-defined Loewner evolution under the SLE(4) driving function.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Derives Loewner evolution for isomonodromic parameters with irregular singularities and constructs unique SLE(4) martingales with double poles via confluent BPZ equations.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Deriving the Loewner evolution of isomonodromic parameters constructs martingale observables for SLE(4) with double poles.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"98452935880a7b469bfbe2c21e4adc4461a2a3cdabf9fed7eae749a2a62aa713"},"source":{"id":"2605.13802","kind":"arxiv","version":1},"verdict":{"id":"3350479c-84a5-4b5a-9fd4-5dd613ba3822","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T17:26:47.877237Z","strongest_claim":"Our first main result is the derivation of the Loewner evolution of these isomonodromic deformation parameters. Using this result, we construct martingale observables for Schramm-Loewner evolution (SLE(4)) processes in the presence of double poles. Furthermore, we characterize these SLE(4) observables uniquely in terms of confluent BPZ equations of a CFT with central charge c=1.","one_line_summary":"Derives Loewner evolution for isomonodromic parameters with irregular singularities and constructs unique SLE(4) martingales with double poles via confluent BPZ equations.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The deformations are non-Fuchsian monodromy-preserving on the Riemann sphere, with the associated parameters comprising positions of singularities together with Birkhoff invariants due to irregular singularities; the derivation assumes these parameters admit a well-defined Loewner evolution under the SLE(4) driving function.","pith_extraction_headline":"Deriving the Loewner evolution of isomonodromic parameters constructs martingale observables for SLE(4) with double poles."},"references":{"count":76,"sample":[{"doi":"","year":2003,"title":"Ablowitz and Athanassios S","work_id":"bf3377cd-b960-44f1-9341-1acc6f45eb4b","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2002,"title":"SLE_ growth processes and conformal field theories","work_id":"4f3e105a-1125-4cbb-aff6-c3659e2ba1f8","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"Conformal field theories of stochastic L oewner evolutions","work_id":"14d5a9c6-0f54-4be8-b8c2-99226a53b900","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2003,"title":"SLE martingales and the V irasoro algebra","work_id":"876aec30-8244-483e-b242-a704ac96d490","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2004,"title":"Conformal transformations and the SLE partition function martingale","work_id":"ace34a6d-c7ba-4d61-bc13-6b2b0462ef97","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":76,"snapshot_sha256":"60c513d60b883dc6dfc63bfbcc2d4be6ec5bef9e5da89f7ded9a52ec22205d3c","internal_anchors":2},"formal_canon":{"evidence_count":2,"snapshot_sha256":"739ac09f9840f9081f17c537d252b3acddc3aa587c48fac6b38442c688a90950"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"3350479c-84a5-4b5a-9fd4-5dd613ba3822"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"phXXxgodSzxDyXiYAjGnWmMltzuTh+OkRYTxNic4t3WCV21Iqo1nuBn3spgO+O4XgCQIGQjbhr1vwOJBqr7eCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:12:42.100647Z"},"content_sha256":"9576990ab73a0c1e38d808f2f923d0be149616280e67dbdf60a1bc6a3908fccd","schema_version":"1.0","event_id":"sha256:9576990ab73a0c1e38d808f2f923d0be149616280e67dbdf60a1bc6a3908fccd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CXCADRI2Y73XOQHYDV7FJELAH5/bundle.json","state_url":"https://pith.science/pith/CXCADRI2Y73XOQHYDV7FJELAH5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CXCADRI2Y73XOQHYDV7FJELAH5/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":"2026-05-22T17:12:42Z","links":{"resolver":"https://pith.science/pith/CXCADRI2Y73XOQHYDV7FJELAH5","bundle":"https://pith.science/pith/CXCADRI2Y73XOQHYDV7FJELAH5/bundle.json","state":"https://pith.science/pith/CXCADRI2Y73XOQHYDV7FJELAH5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CXCADRI2Y73XOQHYDV7FJELAH5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CXCADRI2Y73XOQHYDV7FJELAH5","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":"a461474fe0ba6c966c559e2674643749bf288f30d4e0ce455846fad156b07880","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T17:24:46Z","title_canon_sha256":"c9e4ef775885284a9a81cf6ea5c764ece42860912b225dbaedaa58157280873d"},"schema_version":"1.0","source":{"id":"2605.13802","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13802","created_at":"2026-05-18T02:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13802v1","created_at":"2026-05-18T02:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13802","created_at":"2026-05-18T02:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"CXCADRI2Y73X","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"CXCADRI2Y73XOQHY","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"CXCADRI2","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:9576990ab73a0c1e38d808f2f923d0be149616280e67dbdf60a1bc6a3908fccd","target":"graph","created_at":"2026-05-18T02:44:15Z","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":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"Our first main result is the derivation of the Loewner evolution of these isomonodromic deformation parameters. Using this result, we construct martingale observables for Schramm-Loewner evolution (SLE(4)) processes in the presence of double poles. Furthermore, we characterize these SLE(4) observables uniquely in terms of confluent BPZ equations of a CFT with central charge c=1."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The deformations are non-Fuchsian monodromy-preserving on the Riemann sphere, with the associated parameters comprising positions of singularities together with Birkhoff invariants due to irregular singularities; the derivation assumes these parameters admit a well-defined Loewner evolution under the SLE(4) driving function."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Derives Loewner evolution for isomonodromic parameters with irregular singularities and constructs unique SLE(4) martingales with double poles via confluent BPZ equations."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Deriving the Loewner evolution of isomonodromic parameters constructs martingale observables for SLE(4) with double poles."}],"snapshot_sha256":"98452935880a7b469bfbe2c21e4adc4461a2a3cdabf9fed7eae749a2a62aa713"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"739ac09f9840f9081f17c537d252b3acddc3aa587c48fac6b38442c688a90950"},"paper":{"abstract_excerpt":"We consider non-Fuchsian monodromy preserving deformations on a Riemann sphere. The associated isomonodromic deformation parameters on this surface comprise the positions of the singularities, together with the Birkhoff (spectral) invariants owing to the presence of irregular singularities. Our first main result is the derivation of the Loewner evolution of these isomonodromic deformation parameters. Using this result, we construct martingale observables for Schramm-Loewner evolution (SLE(4)) processes in the presence of double poles. Geometrically, the expressions contain the pre-Schwarzian a","authors_text":"Aleksandra Korzhenkova, Eveliina Peltola, Harini Desiraju","cross_cats":["math.MP","math.PR"],"headline":"Deriving the Loewner evolution of isomonodromic parameters constructs martingale observables for SLE(4) with double poles.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T17:24:46Z","title":"Irregular SLE(4) martingales and isomonodromic deformations"},"references":{"count":76,"internal_anchors":2,"resolved_work":76,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Ablowitz and Athanassios S","work_id":"bf3377cd-b960-44f1-9341-1acc6f45eb4b","year":2003},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"SLE_ growth processes and conformal field theories","work_id":"4f3e105a-1125-4cbb-aff6-c3659e2ba1f8","year":2002},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Conformal field theories of stochastic L oewner evolutions","work_id":"14d5a9c6-0f54-4be8-b8c2-99226a53b900","year":2003},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"SLE martingales and the V irasoro algebra","work_id":"876aec30-8244-483e-b242-a704ac96d490","year":2003},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Conformal transformations and the SLE partition function martingale","work_id":"ace34a6d-c7ba-4d61-bc13-6b2b0462ef97","year":2004}],"snapshot_sha256":"60c513d60b883dc6dfc63bfbcc2d4be6ec5bef9e5da89f7ded9a52ec22205d3c"},"source":{"id":"2605.13802","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T17:26:47.877237Z","id":"3350479c-84a5-4b5a-9fd4-5dd613ba3822","model_set":{"reader":"grok-4.3"},"one_line_summary":"Derives Loewner evolution for isomonodromic parameters with irregular singularities and constructs unique SLE(4) martingales with double poles via confluent BPZ equations.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Deriving the Loewner evolution of isomonodromic parameters constructs martingale observables for SLE(4) with double poles.","strongest_claim":"Our first main result is the derivation of the Loewner evolution of these isomonodromic deformation parameters. Using this result, we construct martingale observables for Schramm-Loewner evolution (SLE(4)) processes in the presence of double poles. Furthermore, we characterize these SLE(4) observables uniquely in terms of confluent BPZ equations of a CFT with central charge c=1.","weakest_assumption":"The deformations are non-Fuchsian monodromy-preserving on the Riemann sphere, with the associated parameters comprising positions of singularities together with Birkhoff invariants due to irregular singularities; the derivation assumes these parameters admit a well-defined Loewner evolution under the SLE(4) driving function."}},"verdict_id":"3350479c-84a5-4b5a-9fd4-5dd613ba3822"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dc929005c72068e23c4538f93306feced6c4d8bb186ce3654b7f938548e654e8","target":"record","created_at":"2026-05-18T02:44:15Z","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":"a461474fe0ba6c966c559e2674643749bf288f30d4e0ce455846fad156b07880","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2026-05-13T17:24:46Z","title_canon_sha256":"c9e4ef775885284a9a81cf6ea5c764ece42860912b225dbaedaa58157280873d"},"schema_version":"1.0","source":{"id":"2605.13802","kind":"arxiv","version":1}},"canonical_sha256":"15c401c51ac7f77740f81d7e5491603f6285856edcff14c8cf7b5dcfa5d49c59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"15c401c51ac7f77740f81d7e5491603f6285856edcff14c8cf7b5dcfa5d49c59","first_computed_at":"2026-05-18T02:44:15.497456Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:15.497456Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qMSrn/2IOuKnX9yb9xbjquBGqKCxsg1Ul+GLKhxtH7INAoUyjRj09H/f40XPeCPDkM74i6VBlEPYLrZIuv8QAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:15.498014Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13802","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc929005c72068e23c4538f93306feced6c4d8bb186ce3654b7f938548e654e8","sha256:9576990ab73a0c1e38d808f2f923d0be149616280e67dbdf60a1bc6a3908fccd"],"state_sha256":"c3f1a0d3785b4747db8e50aa9d1d8f9908df4a67c9167d7de2b35790a4cbeaa8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ckKKCfV7X46iq0bKspDs5MvlxhxX0mXqQtLmzopCK9OG24Yh2vcXUA3USQxcAlOCMbf/ijQYxlqZ9i/3PqN9Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T17:12:42.104902Z","bundle_sha256":"1feddded6891a75bc42931c85ab9ed3cd1d8353b9a1f3abcd0d4f4bd479e7e2b"}}