{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IPBACKTGSFPS63PJUJYQMQYY4G","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":"753982df6c2ff51fe4440c91c62407550926762d5fb79fcb542c0a3ba40f7ac9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-01-02T08:42:29Z","title_canon_sha256":"fa3edd29a94b471e220a2bb37b8d863496aed10eafc565246685697b0c3dc358"},"schema_version":"1.0","source":{"id":"1401.0390","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.0390","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"arxiv_version","alias_value":"1401.0390v1","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0390","created_at":"2026-05-18T01:45:34Z"},{"alias_kind":"pith_short_12","alias_value":"IPBACKTGSFPS","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IPBACKTGSFPS63PJ","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IPBACKTG","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:7e40f3cdf005cd7965d483d2b692c86a081292031b329302d9b3981a659e3566","target":"graph","created_at":"2026-05-18T01:45:34Z","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 proved three theorems of $S$-version of the mulyiplicity one.","authors_text":"Song Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-01-02T08:42:29Z","title":"Multiplicity One Theorems, S-Version"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0390","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:ced252f8bca3e27a230ecd90788149b5599fcbb4899593d19a9f77695fe8d792","target":"record","created_at":"2026-05-18T01:45:34Z","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":"753982df6c2ff51fe4440c91c62407550926762d5fb79fcb542c0a3ba40f7ac9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2014-01-02T08:42:29Z","title_canon_sha256":"fa3edd29a94b471e220a2bb37b8d863496aed10eafc565246685697b0c3dc358"},"schema_version":"1.0","source":{"id":"1401.0390","kind":"arxiv","version":1}},"canonical_sha256":"43c2012a66915f2f6de9a271064318e1ac2049cdc9a058fd83636598a2980232","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43c2012a66915f2f6de9a271064318e1ac2049cdc9a058fd83636598a2980232","first_computed_at":"2026-05-18T01:45:34.523505Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:45:34.523505Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VneIAGvBRHXVIcnmYeZtuiMhcgTvRkx8nbkK8WdADLN2e2S6P5QOAjIcxDUkvF780MYUUwji6fCNKsvLGo+4Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:45:34.524079Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.0390","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ced252f8bca3e27a230ecd90788149b5599fcbb4899593d19a9f77695fe8d792","sha256:7e40f3cdf005cd7965d483d2b692c86a081292031b329302d9b3981a659e3566"],"state_sha256":"bf34f6501ae931b60d2754055e6e28fe12798b92548114a560e261179bfbd014"}