{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TNVMHKSTJ46RR5DKZL627VAZJK","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":"69b5d0d4c01c10f679cdc39644afe9e4ac5a5d2732be5baf3a253d26672e2fcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-13T04:30:25Z","title_canon_sha256":"8d234bb711173669d8df4827db286dafb29448143d06eb7c0390732c7ad0ae14"},"schema_version":"1.0","source":{"id":"1606.03806","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.03806","created_at":"2026-05-17T23:48:47Z"},{"alias_kind":"arxiv_version","alias_value":"1606.03806v3","created_at":"2026-05-17T23:48:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.03806","created_at":"2026-05-17T23:48:47Z"},{"alias_kind":"pith_short_12","alias_value":"TNVMHKSTJ46R","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TNVMHKSTJ46RR5DK","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TNVMHKST","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:1e02066285931d284a2614435cd80631bcc10ff4a9bd3744a6e9f23eb62a0e14","target":"graph","created_at":"2026-05-17T23:48:47Z","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 behavior of zero-divisors of the double zeta-function $\\zeta_2(s_1,s_2)$. In our former paper \\cite{MatSho14} we studied the case $s_1=s_2$, but in the present paper we consider the more general two variable situation. We carry out numerical computations in order to trace the behavior of zero-divisors. We observe that some divisors approach the points with $s_2=0$, while other divisors approach the points which are solutions of $\\zeta(s_2)=1$.","authors_text":"Kohji Matsumoto, Mayumi Sh\\=oji","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-13T04:30:25Z","title":"Numerical computations on the zeros of the Euler double zeta-function II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03806","kind":"arxiv","version":3},"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":"sha256:7cce1613d2891a523da501ee6eba82057a1e6e1bee940f51198caab17f233631","target":"record","created_at":"2026-05-17T23:48:47Z","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":"69b5d0d4c01c10f679cdc39644afe9e4ac5a5d2732be5baf3a253d26672e2fcc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-06-13T04:30:25Z","title_canon_sha256":"8d234bb711173669d8df4827db286dafb29448143d06eb7c0390732c7ad0ae14"},"schema_version":"1.0","source":{"id":"1606.03806","kind":"arxiv","version":3}},"canonical_sha256":"9b6ac3aa534f3d18f46acafdafd4194aba21f29ef1119345eaa67540ba988e7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9b6ac3aa534f3d18f46acafdafd4194aba21f29ef1119345eaa67540ba988e7b","first_computed_at":"2026-05-17T23:48:47.944685Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:47.944685Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P9b641v3T+6jbW+CbgKLP8osDYT9V/3DWMuDA+jaJTO2AmDtRuD0Iu96NOiHbWHfAfueLV/iRlBfSQAflq6NDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:47.945229Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.03806","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7cce1613d2891a523da501ee6eba82057a1e6e1bee940f51198caab17f233631","sha256:1e02066285931d284a2614435cd80631bcc10ff4a9bd3744a6e9f23eb62a0e14"],"state_sha256":"64763672598507be2ed67e511e4f25418b7c48480017e96732ce808e41e0acc0"}