{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:4YXDLJ4CLZQTHMIK4IASEJQXEM","short_pith_number":"pith:4YXDLJ4C","canonical_record":{"source":{"id":"1505.00961","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-05T11:29:33Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"fe93866e5bdd029e3edf22841ec3232530f689b1fa0ddb2a56f075f6096f50db","abstract_canon_sha256":"452f236ddb99f3a70fcfd6d048465cf433fc2f29d941a64f994153f3eadb1db3"},"schema_version":"1.0"},"canonical_sha256":"e62e35a7825e6133b10ae201222617230b1f984ada7f94982ef5b286baa32722","source":{"kind":"arxiv","id":"1505.00961","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00961","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00961v1","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00961","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"pith_short_12","alias_value":"4YXDLJ4CLZQT","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4YXDLJ4CLZQTHMIK","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4YXDLJ4C","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:4YXDLJ4CLZQTHMIK4IASEJQXEM","target":"record","payload":{"canonical_record":{"source":{"id":"1505.00961","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-05T11:29:33Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"fe93866e5bdd029e3edf22841ec3232530f689b1fa0ddb2a56f075f6096f50db","abstract_canon_sha256":"452f236ddb99f3a70fcfd6d048465cf433fc2f29d941a64f994153f3eadb1db3"},"schema_version":"1.0"},"canonical_sha256":"e62e35a7825e6133b10ae201222617230b1f984ada7f94982ef5b286baa32722","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:50.687271Z","signature_b64":"kssovXphzPXrZ3PG5simqc/dvTUD8hybiRZskiuEZqSVjEABJUYlj0mdzg34gS+5faKXOxc3vbe9ANMjAOdTAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e62e35a7825e6133b10ae201222617230b1f984ada7f94982ef5b286baa32722","last_reissued_at":"2026-05-18T01:16:50.686443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:50.686443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.00961","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":"2026-05-18T01:16:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6+wdlO/YjOWXfV/F2lzC/Z9JgRO+2SNNFSYadZ5w9sMu7cs7dSZ3qHSQew5pMCQFwm/vrTM45+XPUMM40lXQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T09:20:35.481608Z"},"content_sha256":"46e4892775d9dba31a3a1b9ad20b135d87391ebafcd9a6a937783bf529355c59","schema_version":"1.0","event_id":"sha256:46e4892775d9dba31a3a1b9ad20b135d87391ebafcd9a6a937783bf529355c59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:4YXDLJ4CLZQTHMIK4IASEJQXEM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reciprocal link for a coupled Camassa-Holm type equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Jinshun Zhang, Lihua Wu, NianHua Li","submitted_at":"2015-05-05T11:29:33Z","abstract_excerpt":"A coupled Camassa-Holm type equation is linked to the first negative flow of a modified Drinfeld-Sokolov III hierarchy by a transformation of reciprocal type. Meanwhile the Lax pair and bi-Hamiltonian structure behaviors of this coupled Camassa-Holm type equation under change of variables are analyzed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00961","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":"2026-05-18T01:16:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q0Qi+qscBkPMca/w4Tp8nRRCVZXi3A+BPi/gHFGHZDLFZ3v5LbXG4Jz9Y4fW098PIzvi2dfsMIRVreBGPq5DBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T09:20:35.481949Z"},"content_sha256":"1623760401f25e720f8f3a793c8133a7f4f7663e3afde2347f9a29f6e9990917","schema_version":"1.0","event_id":"sha256:1623760401f25e720f8f3a793c8133a7f4f7663e3afde2347f9a29f6e9990917"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4YXDLJ4CLZQTHMIK4IASEJQXEM/bundle.json","state_url":"https://pith.science/pith/4YXDLJ4CLZQTHMIK4IASEJQXEM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4YXDLJ4CLZQTHMIK4IASEJQXEM/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":"2026-06-21T09:20:35Z","links":{"resolver":"https://pith.science/pith/4YXDLJ4CLZQTHMIK4IASEJQXEM","bundle":"https://pith.science/pith/4YXDLJ4CLZQTHMIK4IASEJQXEM/bundle.json","state":"https://pith.science/pith/4YXDLJ4CLZQTHMIK4IASEJQXEM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4YXDLJ4CLZQTHMIK4IASEJQXEM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:4YXDLJ4CLZQTHMIK4IASEJQXEM","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":"452f236ddb99f3a70fcfd6d048465cf433fc2f29d941a64f994153f3eadb1db3","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-05T11:29:33Z","title_canon_sha256":"fe93866e5bdd029e3edf22841ec3232530f689b1fa0ddb2a56f075f6096f50db"},"schema_version":"1.0","source":{"id":"1505.00961","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.00961","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"arxiv_version","alias_value":"1505.00961v1","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.00961","created_at":"2026-05-18T01:16:50Z"},{"alias_kind":"pith_short_12","alias_value":"4YXDLJ4CLZQT","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"4YXDLJ4CLZQTHMIK","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"4YXDLJ4C","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:1623760401f25e720f8f3a793c8133a7f4f7663e3afde2347f9a29f6e9990917","target":"graph","created_at":"2026-05-18T01:16:50Z","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":"A coupled Camassa-Holm type equation is linked to the first negative flow of a modified Drinfeld-Sokolov III hierarchy by a transformation of reciprocal type. Meanwhile the Lax pair and bi-Hamiltonian structure behaviors of this coupled Camassa-Holm type equation under change of variables are analyzed.","authors_text":"Jinshun Zhang, Lihua Wu, NianHua Li","cross_cats":["math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-05T11:29:33Z","title":"Reciprocal link for a coupled Camassa-Holm type equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.00961","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":"sha256:46e4892775d9dba31a3a1b9ad20b135d87391ebafcd9a6a937783bf529355c59","target":"record","created_at":"2026-05-18T01:16:50Z","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":"452f236ddb99f3a70fcfd6d048465cf433fc2f29d941a64f994153f3eadb1db3","cross_cats_sorted":["math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-05-05T11:29:33Z","title_canon_sha256":"fe93866e5bdd029e3edf22841ec3232530f689b1fa0ddb2a56f075f6096f50db"},"schema_version":"1.0","source":{"id":"1505.00961","kind":"arxiv","version":1}},"canonical_sha256":"e62e35a7825e6133b10ae201222617230b1f984ada7f94982ef5b286baa32722","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e62e35a7825e6133b10ae201222617230b1f984ada7f94982ef5b286baa32722","first_computed_at":"2026-05-18T01:16:50.686443Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:50.686443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kssovXphzPXrZ3PG5simqc/dvTUD8hybiRZskiuEZqSVjEABJUYlj0mdzg34gS+5faKXOxc3vbe9ANMjAOdTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:50.687271Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.00961","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46e4892775d9dba31a3a1b9ad20b135d87391ebafcd9a6a937783bf529355c59","sha256:1623760401f25e720f8f3a793c8133a7f4f7663e3afde2347f9a29f6e9990917"],"state_sha256":"e990297e32f277a1ef92714ff768010a8022883ddc12fb22b76fefb9415e4c33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Zxr4qt52sFJWD07YpG6JOAq/dDEYpInLLFvlNy/sSuywlucBsoBog+h+Qmtq4DsrX6ngJ0MwQPKNVSbJn/eCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T09:20:35.484185Z","bundle_sha256":"1cd260ddef2f0248a115170681da8745132bc9bf76417ccb2406245b93979f04"}}