{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:MKBEKD4UEW44CCBXDL7QHTSGY2","short_pith_number":"pith:MKBEKD4U","canonical_record":{"source":{"id":"2608.02230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-03T13:47:58Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"652ef249aa6f99bd1f93539e29bf1a51e3635de4a80355c909fe558c63b954ad","abstract_canon_sha256":"0d97e94942710df77cb68a72eeda1087aa8c0e17051b5590912e3a26a51afa7d"},"schema_version":"1.0"},"canonical_sha256":"6282450f9425b9c108371aff03ce46c68b43aa1445d74b6de4d30b85a9855491","source":{"kind":"arxiv","id":"2608.02230","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02230","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02230v1","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02230","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"pith_short_12","alias_value":"MKBEKD4UEW44","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"pith_short_16","alias_value":"MKBEKD4UEW44CCBX","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"pith_short_8","alias_value":"MKBEKD4U","created_at":"2026-08-04T02:11:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:MKBEKD4UEW44CCBXDL7QHTSGY2","target":"record","payload":{"canonical_record":{"source":{"id":"2608.02230","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-03T13:47:58Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"652ef249aa6f99bd1f93539e29bf1a51e3635de4a80355c909fe558c63b954ad","abstract_canon_sha256":"0d97e94942710df77cb68a72eeda1087aa8c0e17051b5590912e3a26a51afa7d"},"schema_version":"1.0"},"canonical_sha256":"6282450f9425b9c108371aff03ce46c68b43aa1445d74b6de4d30b85a9855491","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T02:11:27.361571Z","signature_b64":"Fb/exqx5YFzE/WlgLjQRMLUcXMLn8g2Ww7lIf3k4oa+1wrv868QDk5mb+mnviI6vau4IciZisgQQlODg9qThBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6282450f9425b9c108371aff03ce46c68b43aa1445d74b6de4d30b85a9855491","last_reissued_at":"2026-08-04T02:11:27.359919Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T02:11:27.359919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.02230","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":"2026-08-04T02:11:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cvx8B9EG2NRuwGpp354nGGZnMTthjbevkf1jyUww4hnUB/scY6qC88BIl8HholAgjnY3LARiysYpkZVQxgujAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T09:29:28.213210Z"},"content_sha256":"574b2d10103878438aa2f0552a7da418c18f92419e0b5b87bfa93c0fc1beef92","schema_version":"1.0","event_id":"sha256:574b2d10103878438aa2f0552a7da418c18f92419e0b5b87bfa93c0fc1beef92"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:MKBEKD4UEW44CCBXDL7QHTSGY2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multiple Zeta Values","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.NT","authors_text":"Henrik Bachmann","submitted_at":"2026-08-03T13:47:58Z","abstract_excerpt":"These lecture notes are based on three courses given at Nagoya University. Their purpose is to give a beginner-friendly introduction to multiple zeta values and several of their variants, such as finite and symmetric multiple zeta values, q-analogues of multiple zeta values, and multiple Eisenstein series. These notes will be updated in the future."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02230","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/2608.02230/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":"2026-08-04T02:11:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UcoswKnWwSK2Ud3jhiomRvIbpTzU+mGIsKrW358bOulG+mmHTjkap8hiY4LRc6KPwrnPMD5MY+Td5Zk5oBzXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T09:29:28.213846Z"},"content_sha256":"caf6644ab0471e620f9dc865b00eac048a8679e2d6251adac9b8c8031451cf66","schema_version":"1.0","event_id":"sha256:caf6644ab0471e620f9dc865b00eac048a8679e2d6251adac9b8c8031451cf66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MKBEKD4UEW44CCBXDL7QHTSGY2/bundle.json","state_url":"https://pith.science/pith/MKBEKD4UEW44CCBXDL7QHTSGY2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MKBEKD4UEW44CCBXDL7QHTSGY2/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":"2026-08-10T09:29:28Z","links":{"resolver":"https://pith.science/pith/MKBEKD4UEW44CCBXDL7QHTSGY2","bundle":"https://pith.science/pith/MKBEKD4UEW44CCBXDL7QHTSGY2/bundle.json","state":"https://pith.science/pith/MKBEKD4UEW44CCBXDL7QHTSGY2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MKBEKD4UEW44CCBXDL7QHTSGY2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:MKBEKD4UEW44CCBXDL7QHTSGY2","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":"0d97e94942710df77cb68a72eeda1087aa8c0e17051b5590912e3a26a51afa7d","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-03T13:47:58Z","title_canon_sha256":"652ef249aa6f99bd1f93539e29bf1a51e3635de4a80355c909fe558c63b954ad"},"schema_version":"1.0","source":{"id":"2608.02230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.02230","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"arxiv_version","alias_value":"2608.02230v1","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02230","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"pith_short_12","alias_value":"MKBEKD4UEW44","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"pith_short_16","alias_value":"MKBEKD4UEW44CCBX","created_at":"2026-08-04T02:11:27Z"},{"alias_kind":"pith_short_8","alias_value":"MKBEKD4U","created_at":"2026-08-04T02:11:27Z"}],"graph_snapshots":[{"event_id":"sha256:caf6644ab0471e620f9dc865b00eac048a8679e2d6251adac9b8c8031451cf66","target":"graph","created_at":"2026-08-04T02:11:27Z","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/2608.02230/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"These lecture notes are based on three courses given at Nagoya University. Their purpose is to give a beginner-friendly introduction to multiple zeta values and several of their variants, such as finite and symmetric multiple zeta values, q-analogues of multiple zeta values, and multiple Eisenstein series. These notes will be updated in the future.","authors_text":"Henrik Bachmann","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-03T13:47:58Z","title":"Multiple Zeta Values"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02230","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":"sha256:574b2d10103878438aa2f0552a7da418c18f92419e0b5b87bfa93c0fc1beef92","target":"record","created_at":"2026-08-04T02:11:27Z","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":"0d97e94942710df77cb68a72eeda1087aa8c0e17051b5590912e3a26a51afa7d","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2026-08-03T13:47:58Z","title_canon_sha256":"652ef249aa6f99bd1f93539e29bf1a51e3635de4a80355c909fe558c63b954ad"},"schema_version":"1.0","source":{"id":"2608.02230","kind":"arxiv","version":1}},"canonical_sha256":"6282450f9425b9c108371aff03ce46c68b43aa1445d74b6de4d30b85a9855491","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6282450f9425b9c108371aff03ce46c68b43aa1445d74b6de4d30b85a9855491","first_computed_at":"2026-08-04T02:11:27.359919Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T02:11:27.359919Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fb/exqx5YFzE/WlgLjQRMLUcXMLn8g2Ww7lIf3k4oa+1wrv868QDk5mb+mnviI6vau4IciZisgQQlODg9qThBA==","signature_status":"signed_v1","signed_at":"2026-08-04T02:11:27.361571Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.02230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:574b2d10103878438aa2f0552a7da418c18f92419e0b5b87bfa93c0fc1beef92","sha256:caf6644ab0471e620f9dc865b00eac048a8679e2d6251adac9b8c8031451cf66"],"state_sha256":"fc5d294cdc9ea38e2133c99a25bfb190a054e13a7a7ed8a59e9f23ce5af87997"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F64g7dQIb/Uf+PwH853swbhS/rsoMEDrGhkEQ7No7NQRmJA6ZFttdP6sO2rTOEi5UM1snaFaJdpuQQMfB6Q5Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T09:29:28.219190Z","bundle_sha256":"b46ca07c270614be048c5022737c8eecc57b17be340e3f65658238aceedc7033"}}