{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MWHGNHRYERGXKBCRWR2QS2JICD","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":"98f6b4e76988ea37e0c43b87af366f9b32be5e81cfa60aeebf47c55b646e7826","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-18T22:33:29Z","title_canon_sha256":"d0298718677eb871aa64c6ae3992de37f5974d23b668674d4fa63a1a3376b58a"},"schema_version":"1.0","source":{"id":"1805.07461","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07461","created_at":"2026-07-05T09:35:44Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07461v1","created_at":"2026-07-05T09:35:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07461","created_at":"2026-07-05T09:35:44Z"},{"alias_kind":"pith_short_12","alias_value":"MWHGNHRYERGX","created_at":"2026-07-05T09:35:44Z"},{"alias_kind":"pith_short_16","alias_value":"MWHGNHRYERGXKBCR","created_at":"2026-07-05T09:35:44Z"},{"alias_kind":"pith_short_8","alias_value":"MWHGNHRY","created_at":"2026-07-05T09:35:44Z"}],"graph_snapshots":[{"event_id":"sha256:eaa081f9cb7d925e581bca825d37ef98d6c5d77b31b05255c5f2c12513ea704e","target":"graph","created_at":"2026-07-05T09:35:44Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1805.07461/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for $\\mathrm{PSL}_2(\\mathbb{Z})$. We also develop a short interval version of this result.","authors_text":"Andr\\'as Bir\\'o, Antal Balog, Gergely Harcos, P\\'eter Maga","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-18T22:33:29Z","title":"The prime geodesic theorem in square mean"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07461","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:b7ab7603e8663b9002503001adac7552b39c5c37d6c095fd6786b6793be7d4d6","target":"record","created_at":"2026-07-05T09:35:44Z","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":"98f6b4e76988ea37e0c43b87af366f9b32be5e81cfa60aeebf47c55b646e7826","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-05-18T22:33:29Z","title_canon_sha256":"d0298718677eb871aa64c6ae3992de37f5974d23b668674d4fa63a1a3376b58a"},"schema_version":"1.0","source":{"id":"1805.07461","kind":"arxiv","version":1}},"canonical_sha256":"658e669e38244d750451b47509692810cb2a13f52331e890c3c45aaa5db78a70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"658e669e38244d750451b47509692810cb2a13f52331e890c3c45aaa5db78a70","first_computed_at":"2026-07-05T09:35:44.640569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:35:44.640569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pThu6HzrSUTIUd072P57hWYdxWaQHWqLEptcFoq6Ma2vQzRnYlnk/B9ITvB50BtrYHTgMalPAkWnSnbwL8qOCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:35:44.641050Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.07461","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7ab7603e8663b9002503001adac7552b39c5c37d6c095fd6786b6793be7d4d6","sha256:eaa081f9cb7d925e581bca825d37ef98d6c5d77b31b05255c5f2c12513ea704e"],"state_sha256":"3ded8755175ee61bdf0da1175d8125f7ea5d57abea9748809256530f14e305ed"}