{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IXUSR53KHKQEN5AV4I5EHDKF2P","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":"dd4b33002d8c5f1c9c0e244b2fcdd733e299c4c961ea2f639e263ee375526761","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-09T00:26:23Z","title_canon_sha256":"8dcdb33fae6517bb7d6cc2c5d52f7f4f86a69f3d9e57a6f3ebf405dadef0f3d4"},"schema_version":"1.0","source":{"id":"1602.02825","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02825","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02825v4","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02825","created_at":"2026-05-18T01:11:21Z"},{"alias_kind":"pith_short_12","alias_value":"IXUSR53KHKQE","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IXUSR53KHKQEN5AV","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IXUSR53K","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:fdf166c1a673910c16416e80e52175a67f831db6e50cee653d9640f85db3874b","target":"graph","created_at":"2026-05-18T01:11:21Z","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 provide a simplified proof of Zagier's conjecture / Mersmann's theorem which states that of any particular weight, there are only finitely many holomorphic eta quotients, none of which is an integral rescaling of another eta quotient or a product of two holomorphic eta quotients other than 1 and itself.","authors_text":"Soumya Bhattacharya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-09T00:26:23Z","title":"Finiteness of simple holomorphic eta quotients of a given weight"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02825","kind":"arxiv","version":4},"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":"sha256:2fcdc56638d4fbab4a114c98bee9ec8ff3ec9100784e8a0cec613b483a256498","target":"record","created_at":"2026-05-18T01:11:21Z","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":"dd4b33002d8c5f1c9c0e244b2fcdd733e299c4c961ea2f639e263ee375526761","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-02-09T00:26:23Z","title_canon_sha256":"8dcdb33fae6517bb7d6cc2c5d52f7f4f86a69f3d9e57a6f3ebf405dadef0f3d4"},"schema_version":"1.0","source":{"id":"1602.02825","kind":"arxiv","version":4}},"canonical_sha256":"45e928f76a3aa046f415e23a438d45d3f855c79ddef8bea08d3ea17023b24096","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45e928f76a3aa046f415e23a438d45d3f855c79ddef8bea08d3ea17023b24096","first_computed_at":"2026-05-18T01:11:21.514615Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:21.514615Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JLyYjwqznWL095LjW2+IYV8wM2rEE/zIRAwRvfwKZsDa8/R15fAddGR81/mD1VzV+brTcyCTalfrC9vizdFVCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:21.515048Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02825","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fcdc56638d4fbab4a114c98bee9ec8ff3ec9100784e8a0cec613b483a256498","sha256:fdf166c1a673910c16416e80e52175a67f831db6e50cee653d9640f85db3874b"],"state_sha256":"93dba88073bec8331d3275ba11d343dca4b41ac1b15dbe74c88db57fe6bcc86b"}