{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:C64HRHCCW7KGRJRJQZ75NW6QFK","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":"e250b29f40285409c655c3652e995f99ef8ca6ae797f9c1cdbe08ebdf3827b67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-17T03:03:49Z","title_canon_sha256":"97c0666e09a4f56f527bc268255f0f20defd6e13990c795f772f1f7e0f98a786"},"schema_version":"1.0","source":{"id":"1502.04787","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.04787","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"1502.04787v2","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.04787","created_at":"2026-05-18T01:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"C64HRHCCW7KG","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C64HRHCCW7KGRJRJ","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C64HRHCC","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:007ed26a47baf370c76e460a29ce14790d4adee793fbd5bd1849343a7e53c53d","target":"graph","created_at":"2026-05-18T01:12:08Z","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 note we consider a two-component extension of the Kadomtsev-Petviashvili (KP) hierarchy represented with two types of pseudo-differential operators, and construct its Hamiltonian structures by using the $R$-matrix formalism.","authors_text":"Chao-Zhong Wu, Xu Zhou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-17T03:03:49Z","title":"An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.04787","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:bfc981651613dc31311de7060c44faeb72491bf718d9f79c023c459fef90cec1","target":"record","created_at":"2026-05-18T01:12:08Z","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":"e250b29f40285409c655c3652e995f99ef8ca6ae797f9c1cdbe08ebdf3827b67","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2015-02-17T03:03:49Z","title_canon_sha256":"97c0666e09a4f56f527bc268255f0f20defd6e13990c795f772f1f7e0f98a786"},"schema_version":"1.0","source":{"id":"1502.04787","kind":"arxiv","version":2}},"canonical_sha256":"17b8789c42b7d468a629867fd6dbd02aa1f7921a454ea4a4a61ae9a4f065464e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"17b8789c42b7d468a629867fd6dbd02aa1f7921a454ea4a4a61ae9a4f065464e","first_computed_at":"2026-05-18T01:12:08.696373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:08.696373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XIZzj90VBhm0D/OkUTRKARyLuYin5JlkwjZXBYO5YgQiahljVNUrwXl7cTlT/n3/cMk1UHCcQeF0EHsqgl8cBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:08.696822Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.04787","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfc981651613dc31311de7060c44faeb72491bf718d9f79c023c459fef90cec1","sha256:007ed26a47baf370c76e460a29ce14790d4adee793fbd5bd1849343a7e53c53d"],"state_sha256":"8a9d739210eeb5d927e6c67c794f218fb3ea15c7fa76267d042ad99885fbd871"}