{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:5GHLYR5H4FKH34IZFWCZEUF4MG","short_pith_number":"pith:5GHLYR5H","canonical_record":{"source":{"id":"1705.07610","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-22T08:41:43Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"bc2404225f9e3880bbdf194a37dba2236c711b1bf0dba31ef000de084404e6c8","abstract_canon_sha256":"62eb4e4413ba972d4f435d4a40a06d4f29bac747a7072e61507b9b4ab66e40ec"},"schema_version":"1.0"},"canonical_sha256":"e98ebc47a7e1547df1192d859250bc61b249d01f2dd7d86c4456a35c48714516","source":{"kind":"arxiv","id":"1705.07610","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07610","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07610v3","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07610","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"pith_short_12","alias_value":"5GHLYR5H4FKH","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"pith_short_16","alias_value":"5GHLYR5H4FKH34IZ","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"pith_short_8","alias_value":"5GHLYR5H","created_at":"2026-07-05T01:08:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:5GHLYR5H4FKH34IZFWCZEUF4MG","target":"record","payload":{"canonical_record":{"source":{"id":"1705.07610","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-22T08:41:43Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"bc2404225f9e3880bbdf194a37dba2236c711b1bf0dba31ef000de084404e6c8","abstract_canon_sha256":"62eb4e4413ba972d4f435d4a40a06d4f29bac747a7072e61507b9b4ab66e40ec"},"schema_version":"1.0"},"canonical_sha256":"e98ebc47a7e1547df1192d859250bc61b249d01f2dd7d86c4456a35c48714516","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:08:57.212109Z","signature_b64":"553TA0h0V6ZfMHtxoaskx7t3nP++y/ZGtwZ7NKxNMNLcnWd3Df2bEvj7xTRLxbRAbcrmpEW5gfBjNz+Jig7SCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e98ebc47a7e1547df1192d859250bc61b249d01f2dd7d86c4456a35c48714516","last_reissued_at":"2026-07-05T01:08:57.211743Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:08:57.211743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.07610","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:08:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7pROcX8OZKCln6oRAbcf6S383oyCk1U7RJ0QbXvkC2LBenRBi0DyH89I9di4lBABhnuFGvXiSZSQ9B/iZhKcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:32:06.740184Z"},"content_sha256":"82acd3fd1da4cb5bd2dbf1523b6e1aec384c489b10ed00215d5338eeb0691f37","schema_version":"1.0","event_id":"sha256:82acd3fd1da4cb5bd2dbf1523b6e1aec384c489b10ed00215d5338eeb0691f37"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:5GHLYR5H4FKH34IZFWCZEUF4MG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological computation of some Stokes phenomena on the affine line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.AG","authors_text":"Andrea D'Agnolo, Claude Sabbah, Giovanni Morando, Marco Hien","submitted_at":"2017-05-22T08:41:43Z","abstract_excerpt":"Let $\\mathcal M$ be a holonomic algebraic $\\mathcal D$-module on the affine line, regular everywhere including at infinity. Malgrange gave a complete description of the Fourier-Laplace transform $\\widehat{\\mathcal M}$, including its Stokes multipliers at infinity, in terms of the quiver of $\\mathcal M$. Let $F$ be the perverse sheaf of holomorphic solutions to $\\mathcal M$. By the irregular Riemann-Hilbert correspondence, $\\widehat{\\mathcal M}$ is determined by the enhanced Fourier-Sato transform $F^\\curlywedge$ of $F$. Our aim here is to recover Malgrange's result in a purely topological way,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07610","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1705.07610/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T01:08:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cYXBsvJ5PpuzcC95DUTqotKzo6rEftFZSeOAAFnvHZ887MNsaYb12km4WCFJn3Bn5tZru75PLaScdXKWW+bUDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T11:32:06.740751Z"},"content_sha256":"e91d0c799ffae5cd96f7c1f900a0811d518b147b4ad8e66d91fdf7cf43376d69","schema_version":"1.0","event_id":"sha256:e91d0c799ffae5cd96f7c1f900a0811d518b147b4ad8e66d91fdf7cf43376d69"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5GHLYR5H4FKH34IZFWCZEUF4MG/bundle.json","state_url":"https://pith.science/pith/5GHLYR5H4FKH34IZFWCZEUF4MG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5GHLYR5H4FKH34IZFWCZEUF4MG/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":"2026-08-16T11:32:06Z","links":{"resolver":"https://pith.science/pith/5GHLYR5H4FKH34IZFWCZEUF4MG","bundle":"https://pith.science/pith/5GHLYR5H4FKH34IZFWCZEUF4MG/bundle.json","state":"https://pith.science/pith/5GHLYR5H4FKH34IZFWCZEUF4MG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5GHLYR5H4FKH34IZFWCZEUF4MG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5GHLYR5H4FKH34IZFWCZEUF4MG","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":"62eb4e4413ba972d4f435d4a40a06d4f29bac747a7072e61507b9b4ab66e40ec","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-22T08:41:43Z","title_canon_sha256":"bc2404225f9e3880bbdf194a37dba2236c711b1bf0dba31ef000de084404e6c8"},"schema_version":"1.0","source":{"id":"1705.07610","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.07610","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"arxiv_version","alias_value":"1705.07610v3","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.07610","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"pith_short_12","alias_value":"5GHLYR5H4FKH","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"pith_short_16","alias_value":"5GHLYR5H4FKH34IZ","created_at":"2026-07-05T01:08:57Z"},{"alias_kind":"pith_short_8","alias_value":"5GHLYR5H","created_at":"2026-07-05T01:08:57Z"}],"graph_snapshots":[{"event_id":"sha256:e91d0c799ffae5cd96f7c1f900a0811d518b147b4ad8e66d91fdf7cf43376d69","target":"graph","created_at":"2026-07-05T01:08:57Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1705.07610/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\mathcal M$ be a holonomic algebraic $\\mathcal D$-module on the affine line, regular everywhere including at infinity. Malgrange gave a complete description of the Fourier-Laplace transform $\\widehat{\\mathcal M}$, including its Stokes multipliers at infinity, in terms of the quiver of $\\mathcal M$. Let $F$ be the perverse sheaf of holomorphic solutions to $\\mathcal M$. By the irregular Riemann-Hilbert correspondence, $\\widehat{\\mathcal M}$ is determined by the enhanced Fourier-Sato transform $F^\\curlywedge$ of $F$. Our aim here is to recover Malgrange's result in a purely topological way,","authors_text":"Andrea D'Agnolo, Claude Sabbah, Giovanni Morando, Marco Hien","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-22T08:41:43Z","title":"Topological computation of some Stokes phenomena on the affine line"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.07610","kind":"arxiv","version":3},"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":"sha256:82acd3fd1da4cb5bd2dbf1523b6e1aec384c489b10ed00215d5338eeb0691f37","target":"record","created_at":"2026-07-05T01:08:57Z","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":"62eb4e4413ba972d4f435d4a40a06d4f29bac747a7072e61507b9b4ab66e40ec","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-05-22T08:41:43Z","title_canon_sha256":"bc2404225f9e3880bbdf194a37dba2236c711b1bf0dba31ef000de084404e6c8"},"schema_version":"1.0","source":{"id":"1705.07610","kind":"arxiv","version":3}},"canonical_sha256":"e98ebc47a7e1547df1192d859250bc61b249d01f2dd7d86c4456a35c48714516","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e98ebc47a7e1547df1192d859250bc61b249d01f2dd7d86c4456a35c48714516","first_computed_at":"2026-07-05T01:08:57.211743Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:08:57.211743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"553TA0h0V6ZfMHtxoaskx7t3nP++y/ZGtwZ7NKxNMNLcnWd3Df2bEvj7xTRLxbRAbcrmpEW5gfBjNz+Jig7SCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:08:57.212109Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.07610","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:82acd3fd1da4cb5bd2dbf1523b6e1aec384c489b10ed00215d5338eeb0691f37","sha256:e91d0c799ffae5cd96f7c1f900a0811d518b147b4ad8e66d91fdf7cf43376d69"],"state_sha256":"9ab08685a5ae15eaf4e6d459d3b9bf63fd5d480da1e82ec949dc49a2b56fb457"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kddVSNoOLt+ujAwKSZjukHY49D4koNlAKakcF7jXoYSkT01knmMw09ipxWbFPRzYCc4hKX1VeygW4wuEuIsNCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T11:32:06.746489Z","bundle_sha256":"2b11732f20aad1bacb609adf6beb93e51c0f1ddbbb3f5cf86db025f795b8ad56"}}