{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KPQW3QCBHZRN3J66TNHFQXLJQZ","short_pith_number":"pith:KPQW3QCB","canonical_record":{"source":{"id":"1805.02210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-05-06T13:35:08Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"baa168ff5917f82193ebfbedc70e4dfd154c4f9bb170aa2257adc72aa0864e5c","abstract_canon_sha256":"8576a3fb13bff11e3b743d489a2f8f04805782191a7fb0997330ec598d180802"},"schema_version":"1.0"},"canonical_sha256":"53e16dc0413e62dda7de9b4e585d6986649302d8d2c1dbf0d913859334caff7d","source":{"kind":"arxiv","id":"1805.02210","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02210","created_at":"2026-05-18T00:16:40Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02210v1","created_at":"2026-05-18T00:16:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02210","created_at":"2026-05-18T00:16:40Z"},{"alias_kind":"pith_short_12","alias_value":"KPQW3QCBHZRN","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KPQW3QCBHZRN3J66","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KPQW3QCB","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KPQW3QCBHZRN3J66TNHFQXLJQZ","target":"record","payload":{"canonical_record":{"source":{"id":"1805.02210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-05-06T13:35:08Z","cross_cats_sorted":["math.CV"],"title_canon_sha256":"baa168ff5917f82193ebfbedc70e4dfd154c4f9bb170aa2257adc72aa0864e5c","abstract_canon_sha256":"8576a3fb13bff11e3b743d489a2f8f04805782191a7fb0997330ec598d180802"},"schema_version":"1.0"},"canonical_sha256":"53e16dc0413e62dda7de9b4e585d6986649302d8d2c1dbf0d913859334caff7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:16:40.584982Z","signature_b64":"MHibcnLpilJdBetkyhfofG7y506kXMOkjlh4qnOjU2GLXI/Re433OJvqr84hRQreZNn9FNOrTUZlDIaUko/5BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53e16dc0413e62dda7de9b4e585d6986649302d8d2c1dbf0d913859334caff7d","last_reissued_at":"2026-05-18T00:16:40.584374Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:16:40.584374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.02210","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":"2026-05-18T00:16:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4VFTAzP2H5FJxE5cVWyjBXT0S0866LQog5ePUrmnQMBmI3+nsO57YLgho3QPM5pJSfXTZPgvFzAPWqmtwdlpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:38:46.034348Z"},"content_sha256":"d60d1af98c3db2b7ebb5a5f106220c8dd66892e3750eb19f04bfb73f1faf05c8","schema_version":"1.0","event_id":"sha256:d60d1af98c3db2b7ebb5a5f106220c8dd66892e3750eb19f04bfb73f1faf05c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KPQW3QCBHZRN3J66TNHFQXLJQZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formal factorization of higher order irregular linear differential operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV"],"primary_cat":"math.CA","authors_text":"Leanne Mezuman, Sergei Yakovenko","submitted_at":"2018-05-06T13:35:08Z","abstract_excerpt":"We study the problem of decomposition (non-commutative factorization) of linear ordinary differential operators near an irregular singular point. The solution (given in terms of the Newton diagram and the respective characteristic numbers) is known for quite some time, though the proofs are rather involved.\n  We suggest a process of reduction of the non-commutative problem to its commutative analog, the problem of factorization of pseudopolynomials, which is known since Newton invented his method of rotating ruler. It turns out that there is an \"automatic translation\" which allows to obtain th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02210","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":"2026-05-18T00:16:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7KcVPtjaeXYAyOfuXr/ytqFFNzoDbl80IiS5gWZtV7LcHSBT2ct/3mYgk8IM2ZEExbg8kZ0nllA7t4sDKQtwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:38:46.034720Z"},"content_sha256":"9007be19f9f692cf71320f471a5e8d78f6fdb2ffbcabd638ed6fdcde7f73066f","schema_version":"1.0","event_id":"sha256:9007be19f9f692cf71320f471a5e8d78f6fdb2ffbcabd638ed6fdcde7f73066f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPQW3QCBHZRN3J66TNHFQXLJQZ/bundle.json","state_url":"https://pith.science/pith/KPQW3QCBHZRN3J66TNHFQXLJQZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPQW3QCBHZRN3J66TNHFQXLJQZ/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":"2026-06-07T14:38:46Z","links":{"resolver":"https://pith.science/pith/KPQW3QCBHZRN3J66TNHFQXLJQZ","bundle":"https://pith.science/pith/KPQW3QCBHZRN3J66TNHFQXLJQZ/bundle.json","state":"https://pith.science/pith/KPQW3QCBHZRN3J66TNHFQXLJQZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPQW3QCBHZRN3J66TNHFQXLJQZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KPQW3QCBHZRN3J66TNHFQXLJQZ","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":"8576a3fb13bff11e3b743d489a2f8f04805782191a7fb0997330ec598d180802","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-05-06T13:35:08Z","title_canon_sha256":"baa168ff5917f82193ebfbedc70e4dfd154c4f9bb170aa2257adc72aa0864e5c"},"schema_version":"1.0","source":{"id":"1805.02210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.02210","created_at":"2026-05-18T00:16:40Z"},{"alias_kind":"arxiv_version","alias_value":"1805.02210v1","created_at":"2026-05-18T00:16:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02210","created_at":"2026-05-18T00:16:40Z"},{"alias_kind":"pith_short_12","alias_value":"KPQW3QCBHZRN","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KPQW3QCBHZRN3J66","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KPQW3QCB","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:9007be19f9f692cf71320f471a5e8d78f6fdb2ffbcabd638ed6fdcde7f73066f","target":"graph","created_at":"2026-05-18T00:16:40Z","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 study the problem of decomposition (non-commutative factorization) of linear ordinary differential operators near an irregular singular point. The solution (given in terms of the Newton diagram and the respective characteristic numbers) is known for quite some time, though the proofs are rather involved.\n  We suggest a process of reduction of the non-commutative problem to its commutative analog, the problem of factorization of pseudopolynomials, which is known since Newton invented his method of rotating ruler. It turns out that there is an \"automatic translation\" which allows to obtain th","authors_text":"Leanne Mezuman, Sergei Yakovenko","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-05-06T13:35:08Z","title":"Formal factorization of higher order irregular linear differential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02210","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:d60d1af98c3db2b7ebb5a5f106220c8dd66892e3750eb19f04bfb73f1faf05c8","target":"record","created_at":"2026-05-18T00:16:40Z","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":"8576a3fb13bff11e3b743d489a2f8f04805782191a7fb0997330ec598d180802","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-05-06T13:35:08Z","title_canon_sha256":"baa168ff5917f82193ebfbedc70e4dfd154c4f9bb170aa2257adc72aa0864e5c"},"schema_version":"1.0","source":{"id":"1805.02210","kind":"arxiv","version":1}},"canonical_sha256":"53e16dc0413e62dda7de9b4e585d6986649302d8d2c1dbf0d913859334caff7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53e16dc0413e62dda7de9b4e585d6986649302d8d2c1dbf0d913859334caff7d","first_computed_at":"2026-05-18T00:16:40.584374Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:40.584374Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MHibcnLpilJdBetkyhfofG7y506kXMOkjlh4qnOjU2GLXI/Re433OJvqr84hRQreZNn9FNOrTUZlDIaUko/5BA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:40.584982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.02210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d60d1af98c3db2b7ebb5a5f106220c8dd66892e3750eb19f04bfb73f1faf05c8","sha256:9007be19f9f692cf71320f471a5e8d78f6fdb2ffbcabd638ed6fdcde7f73066f"],"state_sha256":"f0ef0310ea5385931ced70e742dd5d1d007671a0547631a08ae6cf3c7335c292"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tZ9hJWkjoBUzaj/ZC+c5ZYtmmXmHNWdbRsKWiyVjAUJo8Dvd1Egb+LW1q+C8ggnwafYmoaA8ZVs27UqX/LP5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:38:46.036625Z","bundle_sha256":"d3bf4cf1df438ee70738e3ccbaa78c62c02f1dccfa7919d55fe5b79b12b24aa4"}}