{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:GMJNJROFUY65MY5PVO7GFCGK3M","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":"6041ee3fe639f92b408bacd70ce86f0637894c20b41628ad1ac6ff2cb52c97de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-31T08:15:01Z","title_canon_sha256":"840c75c438c68aa9d9a542ce478d607c083853eeb841a8a037bc7a00b2c7a3bc"},"schema_version":"1.0","source":{"id":"1701.08940","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.08940","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"arxiv_version","alias_value":"1701.08940v1","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08940","created_at":"2026-05-18T00:51:38Z"},{"alias_kind":"pith_short_12","alias_value":"GMJNJROFUY65","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_16","alias_value":"GMJNJROFUY65MY5P","created_at":"2026-05-18T12:31:18Z"},{"alias_kind":"pith_short_8","alias_value":"GMJNJROF","created_at":"2026-05-18T12:31:18Z"}],"graph_snapshots":[{"event_id":"sha256:56bb9d3a84731921a0d6755e938c238480a580c3cb580170cec03f27658a53c3","target":"graph","created_at":"2026-05-18T00:51:38Z","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 short note, we will construct a harmonic Eisenstein series of weight one, whose image under the $\\xi$-operator is a weight one Eisenstein series studied by Hecke.","authors_text":"Yingkun Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-31T08:15:01Z","title":"Harmonic Eisenstein Series of Weight One"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08940","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:ceceea07173298e3504a256aff068eeb47e8b3995fa0a1e23db6e7b7dd320b32","target":"record","created_at":"2026-05-18T00:51:38Z","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":"6041ee3fe639f92b408bacd70ce86f0637894c20b41628ad1ac6ff2cb52c97de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2017-01-31T08:15:01Z","title_canon_sha256":"840c75c438c68aa9d9a542ce478d607c083853eeb841a8a037bc7a00b2c7a3bc"},"schema_version":"1.0","source":{"id":"1701.08940","kind":"arxiv","version":1}},"canonical_sha256":"3312d4c5c5a63dd663afabbe6288cadb1a0972a1c91893db63cedf41f442033f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3312d4c5c5a63dd663afabbe6288cadb1a0972a1c91893db63cedf41f442033f","first_computed_at":"2026-05-18T00:51:38.845384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:38.845384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5rZumv0MpDgTWRezIPwIFskdALrPK191GK5Ve3kF6QMNZn7pM7eHazY9yFH8GHqzK90lga6/ptpNQi+yG2k8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:38.845810Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.08940","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ceceea07173298e3504a256aff068eeb47e8b3995fa0a1e23db6e7b7dd320b32","sha256:56bb9d3a84731921a0d6755e938c238480a580c3cb580170cec03f27658a53c3"],"state_sha256":"46c909756ad31c1695a259855ad06ed9a10d234ae2506dc8ce9f0272c3a1168e"}