{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:NCHLMTO45HO52EH5Z6PY4DGT5W","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":"2081f285350f877cab6d76a59ea7d53e5cdcacdf2151926f24a820940a57547e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2022-08-20T03:28:43Z","title_canon_sha256":"e961b2d9bef7b996e81af9ebfc2316105a4aa81e969e776096307f93b733e23b"},"schema_version":"1.0","source":{"id":"2208.09593","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.09593","created_at":"2026-07-05T10:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"2208.09593v3","created_at":"2026-07-05T10:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.09593","created_at":"2026-07-05T10:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"NCHLMTO45HO5","created_at":"2026-07-05T10:03:37Z"},{"alias_kind":"pith_short_16","alias_value":"NCHLMTO45HO52EH5","created_at":"2026-07-05T10:03:37Z"},{"alias_kind":"pith_short_8","alias_value":"NCHLMTO4","created_at":"2026-07-05T10:03:37Z"}],"graph_snapshots":[{"event_id":"sha256:f0e18fae3bd5655f7ccd9115e0316213c18255a03514aa5e0d64abe9a7d34e25","target":"graph","created_at":"2026-07-05T10:03:37Z","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/2208.09593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we define and study a variant of multiple zeta values (MZVs) of level four, called alternating multiple mixed values or alternating multiple $M$-values (AMMVs), forming a $\\Q[i]$-subspace of the colored MZVs of level four. This variant includes the alternating version of Hoffman's multiple $t$-values, Kaneko-Tsumura's multiple $T$-values, and the multiple $S$-values studied by the authors previously as special cases. We exhibit nice properties similar to the ordinary MZVs such as the generalized duality, integral shuffle and series stuffle relations. After setting up the algebra","authors_text":"Ce Xu, Jianqiang Zhao, Lu Yan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2022-08-20T03:28:43Z","title":"Alternating Multiple Mixed Values: Regularization, Special Values, Parity and Dimension Conjectures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.09593","kind":"arxiv","version":3},"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:c0bb197c67981d439b7c8edb4594705ff56ed59c5025d5e50453935443064a8b","target":"record","created_at":"2026-07-05T10:03:37Z","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":"2081f285350f877cab6d76a59ea7d53e5cdcacdf2151926f24a820940a57547e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2022-08-20T03:28:43Z","title_canon_sha256":"e961b2d9bef7b996e81af9ebfc2316105a4aa81e969e776096307f93b733e23b"},"schema_version":"1.0","source":{"id":"2208.09593","kind":"arxiv","version":3}},"canonical_sha256":"688eb64ddce9dddd10fdcf9f8e0cd3ed8493dd59831397c6f6b6d7c2518fecac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"688eb64ddce9dddd10fdcf9f8e0cd3ed8493dd59831397c6f6b6d7c2518fecac","first_computed_at":"2026-07-05T10:03:37.469029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:03:37.469029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A3dqcKQCWJezY7uvx5PBa9QOLW06XyY5HQKE2bVcFV/b744F7SN4mWyxudJE39zplsW2tF64YNiZ65a4/HaRBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:03:37.469423Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.09593","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0bb197c67981d439b7c8edb4594705ff56ed59c5025d5e50453935443064a8b","sha256:f0e18fae3bd5655f7ccd9115e0316213c18255a03514aa5e0d64abe9a7d34e25"],"state_sha256":"566e76cac9be81002b14c76d0c049907de644e750d9867cdbbd07a8ad0bf2ba0"}