{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OAS7WQN7LHIQZL7JS64YX5MHHI","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":"e78ebcbd2b062bd871cf24198fc802eaf7e546d949d62af7205f4fdcb7e97eac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-22T12:53:14Z","title_canon_sha256":"fbfac7242ad9ccbdfd27c630b5ad44d49135dea52029330540934d96a8812950"},"schema_version":"1.0","source":{"id":"1707.07156","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.07156","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"arxiv_version","alias_value":"1707.07156v1","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.07156","created_at":"2026-05-18T00:39:45Z"},{"alias_kind":"pith_short_12","alias_value":"OAS7WQN7LHIQ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OAS7WQN7LHIQZL7J","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OAS7WQN7","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:b6045ffb46dc9dde7e922d5236676001dbe2c08c8a68943c4a5fbfabfd7a688e","target":"graph","created_at":"2026-05-18T00:39:45Z","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":"In this paper, we study the degree counting formula of the rank two Toda system with simple singular source when $\\rho_1\\in(0,4\\pi)\\cup(4\\pi,8\\pi)$ and $\\rho_2\\notin 4\\pi\\mathbb{N}.$ The key step is to derive the degree formula of the shadow system, which arises from the bubbling solutions as $\\rho_1$ tends to $4\\pi$. In order to compute the topological degree of the shadow system, we need to find some suitable deformation. During this deformation, we shall deal with \\textit{new} difficulty arising from the new phenomena: blow up does not necessarily imply concentration of mass. This phenomena","authors_text":"Chang-shou Lin, Lei Zhang, Wen Yang, Youngae Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-22T12:53:14Z","title":"Degree counting for Toda system with simple singularity : one point blow up"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.07156","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:eeadf3ef1aacc4c8f0602ea400e36bc6ad966978190c760bcecd7e5acc12705c","target":"record","created_at":"2026-05-18T00:39:45Z","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":"e78ebcbd2b062bd871cf24198fc802eaf7e546d949d62af7205f4fdcb7e97eac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-07-22T12:53:14Z","title_canon_sha256":"fbfac7242ad9ccbdfd27c630b5ad44d49135dea52029330540934d96a8812950"},"schema_version":"1.0","source":{"id":"1707.07156","kind":"arxiv","version":1}},"canonical_sha256":"7025fb41bf59d10cafe997b98bf5873a34e72a1be36d6bd674e07a9d9ac1dd71","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7025fb41bf59d10cafe997b98bf5873a34e72a1be36d6bd674e07a9d9ac1dd71","first_computed_at":"2026-05-18T00:39:45.202154Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:45.202154Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qkObmIC98/EJBuU8AuHBzzvGDJbpGgfs4uq5gPdZwtWbYF7LAMX0yEJTPcLDQRPUeNPf/GrvHAyZjnzwAQPjAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:45.202858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.07156","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eeadf3ef1aacc4c8f0602ea400e36bc6ad966978190c760bcecd7e5acc12705c","sha256:b6045ffb46dc9dde7e922d5236676001dbe2c08c8a68943c4a5fbfabfd7a688e"],"state_sha256":"b6bdf9488cca8af47e0eff748dbaa4b8c497675e8b979223535db0efcc76b4ee"}