{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:3EL3MK4KZADJQXJJNKBCCCE42F","short_pith_number":"pith:3EL3MK4K","canonical_record":{"source":{"id":"2310.16041","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-24T17:55:22Z","cross_cats_sorted":[],"title_canon_sha256":"fb853534fc94796ef76df3d683d3429a7d70ab1670f0c291144ab05ce7b4a823","abstract_canon_sha256":"dc9d55af735fb9a674747aa738f7383d179e4fa89368fcc37c2b4ca2628a547d"},"schema_version":"1.0"},"canonical_sha256":"d917b62b8ac806985d296a8221089cd15bfbee6f40b82a4dddca2ed0972c45e8","source":{"kind":"arxiv","id":"2310.16041","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.16041","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.16041v1","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.16041","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"3EL3MK4KZADJ","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"pith_short_16","alias_value":"3EL3MK4KZADJQXJJ","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"pith_short_8","alias_value":"3EL3MK4K","created_at":"2026-07-05T07:04:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:3EL3MK4KZADJQXJJNKBCCCE42F","target":"record","payload":{"canonical_record":{"source":{"id":"2310.16041","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-24T17:55:22Z","cross_cats_sorted":[],"title_canon_sha256":"fb853534fc94796ef76df3d683d3429a7d70ab1670f0c291144ab05ce7b4a823","abstract_canon_sha256":"dc9d55af735fb9a674747aa738f7383d179e4fa89368fcc37c2b4ca2628a547d"},"schema_version":"1.0"},"canonical_sha256":"d917b62b8ac806985d296a8221089cd15bfbee6f40b82a4dddca2ed0972c45e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:04:34.258268Z","signature_b64":"BzFyz0O2ofOWKHnnHXDV7VEx7p/cpie7EwwoLQlstz/7gQZGhCJDml1aoRBZMLs2OE2KghW3mCMgOkX8sgORDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d917b62b8ac806985d296a8221089cd15bfbee6f40b82a4dddca2ed0972c45e8","last_reissued_at":"2026-07-05T07:04:34.257794Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:04:34.257794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2310.16041","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:04:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"snITHE8NaGuXvYUfMcTpNg+B+Kj3ySkn5wEPYsHdUfHVZy4H2WlDsVtkW7J53wHn04zGra/ckg/B8aAgl+QSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:31:20.666535Z"},"content_sha256":"a5c1b5f7838d176014fd7887897069f7e1c2911a0c32df6cc8651427cadfbc81","schema_version":"1.0","event_id":"sha256:a5c1b5f7838d176014fd7887897069f7e1c2911a0c32df6cc8651427cadfbc81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:3EL3MK4KZADJQXJJNKBCCCE42F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ramified and Unramified Motivic Multiple $t$-, $T$- and $S$-Values","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Ce Xu, Jianqiang Zhao","submitted_at":"2023-10-24T17:55:22Z","abstract_excerpt":"In this paper we shall consider a few variants of the motivic multiple zeta values of level two by restricting the summation indices in the definition of multiple zeta values to some fixed parity patterns. These include Hoffman's multiple $t$-values, Kaneko and Tsumura's multiple $T$-values, and the multiple $S$-values studied previously by the authors. By applying Brown and Glanois's descent theory on the motivic versions of these values we shall derive some criterion for when these values are ramified and unramified. Assuming Grothendieck's period conjecture, our results partially confirms a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.16041","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2310.16041/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T07:04:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sR+QmnJxnifkFSRyBE/Pmrf/CKpDB8/qnQPX/PNRprwvkiZaDKM0RE6sOpDSMkP2ROiSAStYG86L8NfpguCpBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:31:20.667039Z"},"content_sha256":"8b2e5d2fb1580baee4f5ccc6bc30fc34bd3dd2662dda940638247aba86ec7af1","schema_version":"1.0","event_id":"sha256:8b2e5d2fb1580baee4f5ccc6bc30fc34bd3dd2662dda940638247aba86ec7af1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3EL3MK4KZADJQXJJNKBCCCE42F/bundle.json","state_url":"https://pith.science/pith/3EL3MK4KZADJQXJJNKBCCCE42F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3EL3MK4KZADJQXJJNKBCCCE42F/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T16:31:20Z","links":{"resolver":"https://pith.science/pith/3EL3MK4KZADJQXJJNKBCCCE42F","bundle":"https://pith.science/pith/3EL3MK4KZADJQXJJNKBCCCE42F/bundle.json","state":"https://pith.science/pith/3EL3MK4KZADJQXJJNKBCCCE42F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3EL3MK4KZADJQXJJNKBCCCE42F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:3EL3MK4KZADJQXJJNKBCCCE42F","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":"dc9d55af735fb9a674747aa738f7383d179e4fa89368fcc37c2b4ca2628a547d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-24T17:55:22Z","title_canon_sha256":"fb853534fc94796ef76df3d683d3429a7d70ab1670f0c291144ab05ce7b4a823"},"schema_version":"1.0","source":{"id":"2310.16041","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.16041","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"arxiv_version","alias_value":"2310.16041v1","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.16041","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"pith_short_12","alias_value":"3EL3MK4KZADJ","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"pith_short_16","alias_value":"3EL3MK4KZADJQXJJ","created_at":"2026-07-05T07:04:34Z"},{"alias_kind":"pith_short_8","alias_value":"3EL3MK4K","created_at":"2026-07-05T07:04:34Z"}],"graph_snapshots":[{"event_id":"sha256:8b2e5d2fb1580baee4f5ccc6bc30fc34bd3dd2662dda940638247aba86ec7af1","target":"graph","created_at":"2026-07-05T07:04:34Z","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/2310.16041/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper we shall consider a few variants of the motivic multiple zeta values of level two by restricting the summation indices in the definition of multiple zeta values to some fixed parity patterns. These include Hoffman's multiple $t$-values, Kaneko and Tsumura's multiple $T$-values, and the multiple $S$-values studied previously by the authors. By applying Brown and Glanois's descent theory on the motivic versions of these values we shall derive some criterion for when these values are ramified and unramified. Assuming Grothendieck's period conjecture, our results partially confirms a","authors_text":"Ce Xu, Jianqiang Zhao","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-24T17:55:22Z","title":"Ramified and Unramified Motivic Multiple $t$-, $T$- and $S$-Values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.16041","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:a5c1b5f7838d176014fd7887897069f7e1c2911a0c32df6cc8651427cadfbc81","target":"record","created_at":"2026-07-05T07:04:34Z","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":"dc9d55af735fb9a674747aa738f7383d179e4fa89368fcc37c2b4ca2628a547d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.NT","submitted_at":"2023-10-24T17:55:22Z","title_canon_sha256":"fb853534fc94796ef76df3d683d3429a7d70ab1670f0c291144ab05ce7b4a823"},"schema_version":"1.0","source":{"id":"2310.16041","kind":"arxiv","version":1}},"canonical_sha256":"d917b62b8ac806985d296a8221089cd15bfbee6f40b82a4dddca2ed0972c45e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d917b62b8ac806985d296a8221089cd15bfbee6f40b82a4dddca2ed0972c45e8","first_computed_at":"2026-07-05T07:04:34.257794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:04:34.257794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BzFyz0O2ofOWKHnnHXDV7VEx7p/cpie7EwwoLQlstz/7gQZGhCJDml1aoRBZMLs2OE2KghW3mCMgOkX8sgORDA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:04:34.258268Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.16041","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5c1b5f7838d176014fd7887897069f7e1c2911a0c32df6cc8651427cadfbc81","sha256:8b2e5d2fb1580baee4f5ccc6bc30fc34bd3dd2662dda940638247aba86ec7af1"],"state_sha256":"0248f12162115bcbfe230d5e056601eb16e80c86192f4cda84d8199cf881e5ce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hm10dybfHmqUwdH16SBkCI863fUKAByuKAGmPNIPPnBN0K0AixSDt+xeP74k5YQH63Bl1wH1uoVqa5sTRLz3DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:31:20.671944Z","bundle_sha256":"f59ec95d35298ada34f65bfdecf482b300d3772794fe1bd76b35174ea12bb390"}}