{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:V2JMHNLOZX3Q7QF3GRM2ENLEOY","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":"abb660d2a6e184005e4251c49accc93f6603ba53cef3b23d51068844a618c80c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-15T20:39:54Z","title_canon_sha256":"5cadebfedb4654658c70e65a901fb5ca094598684d7b731633363df24980673d"},"schema_version":"1.0","source":{"id":"1612.05232","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05232","created_at":"2026-07-05T01:42:30Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05232v5","created_at":"2026-07-05T01:42:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05232","created_at":"2026-07-05T01:42:30Z"},{"alias_kind":"pith_short_12","alias_value":"V2JMHNLOZX3Q","created_at":"2026-07-05T01:42:30Z"},{"alias_kind":"pith_short_16","alias_value":"V2JMHNLOZX3Q7QF3","created_at":"2026-07-05T01:42:30Z"},{"alias_kind":"pith_short_8","alias_value":"V2JMHNLO","created_at":"2026-07-05T01:42:30Z"}],"graph_snapshots":[{"event_id":"sha256:82218953eed817b60f31275d6d4a5cb6d84b5f6416bbb9c333ee82bddc051f6b","target":"graph","created_at":"2026-07-05T01:42:30Z","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/1612.05232/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For positive integers $i_1,...,i_k$ with $i_1 > 1$, we define the multiple $t$-value $t(i_1,...,i_k)$ as the sum of those terms in the usual infinite series for the multiple zeta value $\\zeta(i_1,...,i_k)$ with odd denominators. Like the multiple zeta values, the multiple $t$-values can be multiplied according to the rules of the harmonic algebra. Using this fact, we obtain explicit formulas for multiple $t$-values of repeated arguments analogous to those known for multiple zeta values. Multiple $t$-values can be written as rational linear combinations of the alternating or \"colored\" multiple ","authors_text":"Michael E. Hoffman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-15T20:39:54Z","title":"An odd variant of multiple zeta values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05232","kind":"arxiv","version":5},"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":"sha256:950534718e3b6f62b7d04e25f0fba4af0ba9e3aba144f60b23eb87ea00e68891","target":"record","created_at":"2026-07-05T01:42:30Z","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":"abb660d2a6e184005e4251c49accc93f6603ba53cef3b23d51068844a618c80c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-12-15T20:39:54Z","title_canon_sha256":"5cadebfedb4654658c70e65a901fb5ca094598684d7b731633363df24980673d"},"schema_version":"1.0","source":{"id":"1612.05232","kind":"arxiv","version":5}},"canonical_sha256":"ae92c3b56ecdf70fc0bb3459a235647634adc2f41dd1901944a12bb79df02944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae92c3b56ecdf70fc0bb3459a235647634adc2f41dd1901944a12bb79df02944","first_computed_at":"2026-07-05T01:42:30.430548Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:42:30.430548Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7JTbE9ZRPUufPpiJwnyqzpxb4ZvT6gCLMVx2sAWuoDYVB00ap8iecOxUJWpK4xDrgq1DUOXWclZ6HCbAk/aFCA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:42:30.430968Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.05232","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:950534718e3b6f62b7d04e25f0fba4af0ba9e3aba144f60b23eb87ea00e68891","sha256:82218953eed817b60f31275d6d4a5cb6d84b5f6416bbb9c333ee82bddc051f6b"],"state_sha256":"489f73660a9648f0d6d80c9ed52823ef83a26a0fd77e1e48a18e0c90438a6038"}