{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7Y42QCUXALIKBPNLAZXQK2KBSR","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":"a12aa28d70a43087d007e86970afe0783074a8483c4de79d865d76346d703acc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-10-13T15:02:52Z","title_canon_sha256":"6970512155cc8cc1c2f19173a29d07ad14d73ade1d72fc9da7097f58e946f548"},"schema_version":"1.0","source":{"id":"1410.3338","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.3338","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"arxiv_version","alias_value":"1410.3338v2","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.3338","created_at":"2026-05-18T01:37:07Z"},{"alias_kind":"pith_short_12","alias_value":"7Y42QCUXALIK","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7Y42QCUXALIKBPNL","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7Y42QCUX","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:1cb16cba96b8e9de1aea47cea55110154f9b80ea71db9643982aed8fc277b690","target":"graph","created_at":"2026-05-18T01:37:07Z","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 show that the well-known Hastings-McLeod solution to the second Painlev\\'{e} equation is pole-free in the region $\\arg x \\in [-\\frac{\\pi}{3},\\frac{\\pi}{3}]\\cup [\\frac{2\\pi}{3},\\frac{ 4 \\pi}{3}]$, which proves an important special case of a general conjecture concerning pole distributions of Painlev\\'{e} transcedents proposed by Novokshenov. Our strategy is to construct explicit quasi-solutions approximating the Hastings-McLeod solution in different regions of the complex plane, and estimate the errors rigorously. The main idea is very similar to the one used to prove Dubrovin's conjecture f","authors_text":"Lun Zhang, Min Huang, Shuai-Xia Xu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-10-13T15:02:52Z","title":"Location of Poles for the Hastings-McLeod Solution to the Second Painlev\\'{e} Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3338","kind":"arxiv","version":2},"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":"sha256:0cabd187b72b012a15873983d721738fe2cb593102b466b229275606b9438391","target":"record","created_at":"2026-05-18T01:37:07Z","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":"a12aa28d70a43087d007e86970afe0783074a8483c4de79d865d76346d703acc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-10-13T15:02:52Z","title_canon_sha256":"6970512155cc8cc1c2f19173a29d07ad14d73ade1d72fc9da7097f58e946f548"},"schema_version":"1.0","source":{"id":"1410.3338","kind":"arxiv","version":2}},"canonical_sha256":"fe39a80a9702d0a0bdab066f056941947eac6d44a317a88f09a2b55f55dd96c2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe39a80a9702d0a0bdab066f056941947eac6d44a317a88f09a2b55f55dd96c2","first_computed_at":"2026-05-18T01:37:07.757510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:37:07.757510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ky2oLmGJjhJ1rolBwOVklRj+KS5aRrwcTm2/Y+lneZxjhtnTZLS/tsLBIZK9SWEe+HvuNBE8EUC6lavrEaW/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:37:07.758090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.3338","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cabd187b72b012a15873983d721738fe2cb593102b466b229275606b9438391","sha256:1cb16cba96b8e9de1aea47cea55110154f9b80ea71db9643982aed8fc277b690"],"state_sha256":"86c95bf65e53c255669c534f548a87f3dc472652c43b58cc0b10736ca08a2c05"}