{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IQFWVWWL66NHO3XALWS4MIFXX4","short_pith_number":"pith:IQFWVWWL","canonical_record":{"source":{"id":"1512.08389","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T12:25:28Z","cross_cats_sorted":["hep-ph","math-ph","math.MP","math.NT"],"title_canon_sha256":"04764bcb2bd4fb3b3414a2fb249a06ffb8406730a8fb02a9e903eff41ce72698","abstract_canon_sha256":"2b45bf2010b74500f0cacc80a742f23062633da6caef1f266b8aa171cf645663"},"schema_version":"1.0"},"canonical_sha256":"440b6adacbf79a776ee05da5c620b7bf03f3af7d12b9fb440b37a11699cd9cf6","source":{"kind":"arxiv","id":"1512.08389","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08389","created_at":"2026-05-18T00:47:54Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08389v2","created_at":"2026-05-18T00:47:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08389","created_at":"2026-05-18T00:47:54Z"},{"alias_kind":"pith_short_12","alias_value":"IQFWVWWL66NH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IQFWVWWL66NHO3XA","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IQFWVWWL","created_at":"2026-05-18T12:29:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IQFWVWWL66NHO3XALWS4MIFXX4","target":"record","payload":{"canonical_record":{"source":{"id":"1512.08389","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T12:25:28Z","cross_cats_sorted":["hep-ph","math-ph","math.MP","math.NT"],"title_canon_sha256":"04764bcb2bd4fb3b3414a2fb249a06ffb8406730a8fb02a9e903eff41ce72698","abstract_canon_sha256":"2b45bf2010b74500f0cacc80a742f23062633da6caef1f266b8aa171cf645663"},"schema_version":"1.0"},"canonical_sha256":"440b6adacbf79a776ee05da5c620b7bf03f3af7d12b9fb440b37a11699cd9cf6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:54.879892Z","signature_b64":"m9M4CaWMGYBKcRgcxCnQ6Zud52XgiWI1XGSQWsyslFnOQfWEAiuDyTUN2JV/WRCGblulNm17gSZJ0XNCVVgTAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"440b6adacbf79a776ee05da5c620b7bf03f3af7d12b9fb440b37a11699cd9cf6","last_reissued_at":"2026-05-18T00:47:54.879349Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:54.879349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.08389","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WPxVE31HPd3k7LVneew/qf8kYWujV2ayZCRavwF7+fAPwKSJQaocUso5uW4cvZ2c56TFEfZfKckoGKQ2Ko6XAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:44:35.283594Z"},"content_sha256":"afb5717e27ca5b1fcc91435a0826be6cb9609798b02f73929e2690d907f7b1e1","schema_version":"1.0","event_id":"sha256:afb5717e27ca5b1fcc91435a0826be6cb9609798b02f73929e2690d907f7b1e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IQFWVWWL66NHO3XALWS4MIFXX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evaluating Multiple Polylogarithm Values at Sixth Roots of Unity up to Weight Six","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP","math.NT"],"primary_cat":"hep-th","authors_text":"Alexander V. Smirnov, Johannes M. Henn, Vladimir A. Smirnov","submitted_at":"2015-12-28T12:25:28Z","abstract_excerpt":"We evaluate multiple polylogarithm values at sixth roots of unity up to weight six, i.e. of the form $G(a_1,\\ldots,a_w;1)$ where the indices $a_i$ are equal to zero or a sixth root of unity, with $a_1\\neq 1$. For $w\\leq 6$, we present bases of the linear spaces generated by the real and imaginary parts of $G(a_1,\\ldots,a_w;1)$ and present a table for expressing them as linear combinations of the elements of the bases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08389","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:47:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IHPggo7t0jyuq7QQHqUJjOqi+nqAHwDqUrdLVMqVRSTRYZDGHMtEbhxbdcI+mcrWL3MibHbFShecAP8FzxLoDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T16:44:35.283921Z"},"content_sha256":"51c9c5e76b8fa8bc7662f85d6a85421bfc542940b1df058a60764c2492bc9f3c","schema_version":"1.0","event_id":"sha256:51c9c5e76b8fa8bc7662f85d6a85421bfc542940b1df058a60764c2492bc9f3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IQFWVWWL66NHO3XALWS4MIFXX4/bundle.json","state_url":"https://pith.science/pith/IQFWVWWL66NHO3XALWS4MIFXX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IQFWVWWL66NHO3XALWS4MIFXX4/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":"2026-06-01T16:44:35Z","links":{"resolver":"https://pith.science/pith/IQFWVWWL66NHO3XALWS4MIFXX4","bundle":"https://pith.science/pith/IQFWVWWL66NHO3XALWS4MIFXX4/bundle.json","state":"https://pith.science/pith/IQFWVWWL66NHO3XALWS4MIFXX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IQFWVWWL66NHO3XALWS4MIFXX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IQFWVWWL66NHO3XALWS4MIFXX4","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":"2b45bf2010b74500f0cacc80a742f23062633da6caef1f266b8aa171cf645663","cross_cats_sorted":["hep-ph","math-ph","math.MP","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T12:25:28Z","title_canon_sha256":"04764bcb2bd4fb3b3414a2fb249a06ffb8406730a8fb02a9e903eff41ce72698"},"schema_version":"1.0","source":{"id":"1512.08389","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08389","created_at":"2026-05-18T00:47:54Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08389v2","created_at":"2026-05-18T00:47:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08389","created_at":"2026-05-18T00:47:54Z"},{"alias_kind":"pith_short_12","alias_value":"IQFWVWWL66NH","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_16","alias_value":"IQFWVWWL66NHO3XA","created_at":"2026-05-18T12:29:25Z"},{"alias_kind":"pith_short_8","alias_value":"IQFWVWWL","created_at":"2026-05-18T12:29:25Z"}],"graph_snapshots":[{"event_id":"sha256:51c9c5e76b8fa8bc7662f85d6a85421bfc542940b1df058a60764c2492bc9f3c","target":"graph","created_at":"2026-05-18T00:47:54Z","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 evaluate multiple polylogarithm values at sixth roots of unity up to weight six, i.e. of the form $G(a_1,\\ldots,a_w;1)$ where the indices $a_i$ are equal to zero or a sixth root of unity, with $a_1\\neq 1$. For $w\\leq 6$, we present bases of the linear spaces generated by the real and imaginary parts of $G(a_1,\\ldots,a_w;1)$ and present a table for expressing them as linear combinations of the elements of the bases.","authors_text":"Alexander V. Smirnov, Johannes M. Henn, Vladimir A. Smirnov","cross_cats":["hep-ph","math-ph","math.MP","math.NT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T12:25:28Z","title":"Evaluating Multiple Polylogarithm Values at Sixth Roots of Unity up to Weight Six"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08389","kind":"arxiv","version":2},"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:afb5717e27ca5b1fcc91435a0826be6cb9609798b02f73929e2690d907f7b1e1","target":"record","created_at":"2026-05-18T00:47:54Z","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":"2b45bf2010b74500f0cacc80a742f23062633da6caef1f266b8aa171cf645663","cross_cats_sorted":["hep-ph","math-ph","math.MP","math.NT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-12-28T12:25:28Z","title_canon_sha256":"04764bcb2bd4fb3b3414a2fb249a06ffb8406730a8fb02a9e903eff41ce72698"},"schema_version":"1.0","source":{"id":"1512.08389","kind":"arxiv","version":2}},"canonical_sha256":"440b6adacbf79a776ee05da5c620b7bf03f3af7d12b9fb440b37a11699cd9cf6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"440b6adacbf79a776ee05da5c620b7bf03f3af7d12b9fb440b37a11699cd9cf6","first_computed_at":"2026-05-18T00:47:54.879349Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:54.879349Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m9M4CaWMGYBKcRgcxCnQ6Zud52XgiWI1XGSQWsyslFnOQfWEAiuDyTUN2JV/WRCGblulNm17gSZJ0XNCVVgTAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:54.879892Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08389","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afb5717e27ca5b1fcc91435a0826be6cb9609798b02f73929e2690d907f7b1e1","sha256:51c9c5e76b8fa8bc7662f85d6a85421bfc542940b1df058a60764c2492bc9f3c"],"state_sha256":"7b89dc779b53c9e899cccf725dd9c17d038ff19a5dd395b8e15352093e93d261"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7UvT6K3dmsM1xM9mQids8MRkpyQQmkKf1oabCQuYYsD5bzGO/2Z3C9vhBfbkn+176ETlr7I27ySf5o73OmPAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T16:44:35.285719Z","bundle_sha256":"54b67f8d868278d234ffdf83febecc839ab220e854c66bb1dbf9fe83c1a01ed0"}}