{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:K7MLOEOLAJRAXKGNFKCZ737ZJJ","short_pith_number":"pith:K7MLOEOL","canonical_record":{"source":{"id":"1608.00740","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-02T08:59:21Z","cross_cats_sorted":[],"title_canon_sha256":"3dd7ef79f833730f16a6573a1f153e4ee91acb60a3ef30b8558b2fd17c2eadb2","abstract_canon_sha256":"fc73d2c783b5e282d365ae3e9e64541db588219209aef939bb3aab1ccc3eb8a0"},"schema_version":"1.0"},"canonical_sha256":"57d8b711cb02620ba8cd2a859feff94a4f16587f0e9f52aec8e19f14e29a5951","source":{"kind":"arxiv","id":"1608.00740","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00740","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00740v3","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00740","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"K7MLOEOLAJRA","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K7MLOEOLAJRAXKGN","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K7MLOEOL","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:K7MLOEOLAJRAXKGNFKCZ737ZJJ","target":"record","payload":{"canonical_record":{"source":{"id":"1608.00740","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-02T08:59:21Z","cross_cats_sorted":[],"title_canon_sha256":"3dd7ef79f833730f16a6573a1f153e4ee91acb60a3ef30b8558b2fd17c2eadb2","abstract_canon_sha256":"fc73d2c783b5e282d365ae3e9e64541db588219209aef939bb3aab1ccc3eb8a0"},"schema_version":"1.0"},"canonical_sha256":"57d8b711cb02620ba8cd2a859feff94a4f16587f0e9f52aec8e19f14e29a5951","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:48.911304Z","signature_b64":"9xy2Cp/FaVdFH5B5d0o7zW+pM3eSb/9nCzbKygtzmGNgLwdJgByrVXjAObNUah6VpyZSU3zpabttyWXw5StDDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"57d8b711cb02620ba8cd2a859feff94a4f16587f0e9f52aec8e19f14e29a5951","last_reissued_at":"2026-05-18T00:30:48.910777Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:48.910777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.00740","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:30:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nltrIhSoI0l21W8nNSsWmljIB/jJ55pyHEKB9ajye1wfzZtJQo4IrBoeX74J0oFaJRUt3tTF4rSLUpac3OtdBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T04:01:23.828164Z"},"content_sha256":"6fa5b83fca1720cf7d447014437af33c0efe18529c88ef5b880680f47716f0fc","schema_version":"1.0","event_id":"sha256:6fa5b83fca1720cf7d447014437af33c0efe18529c88ef5b880680f47716f0fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:K7MLOEOLAJRAXKGNFKCZ737ZJJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The meta-abelian elliptic KZB associator and periods of Eisenstein series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Nils Matthes","submitted_at":"2016-08-02T08:59:21Z","abstract_excerpt":"We compute the image of Enriquez' elliptic KZB associator in the (maximal) meta-abelian quotient of the fundamental Lie algebra of a once-punctured elliptic curve. Our main result is an explicit formula for this image in terms of Eichler integrals of Eisenstein series, and is analogous to Deligne's computation of the depth one quotient of the Drinfeld associator. We also show how to retrieve Zagier's extended period polynomials of Eisenstein series, as well as the values at zero of Beilinson--Levin's elliptic polylogarithms from the meta-abelian elliptic KZB associator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00740","kind":"arxiv","version":3},"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":"2026-05-18T00:30:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UYoKKKrcoti6YMWttxCVQ+BrSkss8OsGEKH//gns5XSCglBoYPfezGPWqilbjXBbqKb/uBqc/z4Cvmj1sf+KCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T04:01:23.828867Z"},"content_sha256":"6b68f5ba2890a6925c18532b7a8bca4620be00027e01cd8da132a3d1e8f66248","schema_version":"1.0","event_id":"sha256:6b68f5ba2890a6925c18532b7a8bca4620be00027e01cd8da132a3d1e8f66248"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K7MLOEOLAJRAXKGNFKCZ737ZJJ/bundle.json","state_url":"https://pith.science/pith/K7MLOEOLAJRAXKGNFKCZ737ZJJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K7MLOEOLAJRAXKGNFKCZ737ZJJ/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":"2026-05-25T04:01:23Z","links":{"resolver":"https://pith.science/pith/K7MLOEOLAJRAXKGNFKCZ737ZJJ","bundle":"https://pith.science/pith/K7MLOEOLAJRAXKGNFKCZ737ZJJ/bundle.json","state":"https://pith.science/pith/K7MLOEOLAJRAXKGNFKCZ737ZJJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K7MLOEOLAJRAXKGNFKCZ737ZJJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:K7MLOEOLAJRAXKGNFKCZ737ZJJ","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":"fc73d2c783b5e282d365ae3e9e64541db588219209aef939bb3aab1ccc3eb8a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-02T08:59:21Z","title_canon_sha256":"3dd7ef79f833730f16a6573a1f153e4ee91acb60a3ef30b8558b2fd17c2eadb2"},"schema_version":"1.0","source":{"id":"1608.00740","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.00740","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"arxiv_version","alias_value":"1608.00740v3","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.00740","created_at":"2026-05-18T00:30:48Z"},{"alias_kind":"pith_short_12","alias_value":"K7MLOEOLAJRA","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"K7MLOEOLAJRAXKGN","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"K7MLOEOL","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:6b68f5ba2890a6925c18532b7a8bca4620be00027e01cd8da132a3d1e8f66248","target":"graph","created_at":"2026-05-18T00:30:48Z","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 compute the image of Enriquez' elliptic KZB associator in the (maximal) meta-abelian quotient of the fundamental Lie algebra of a once-punctured elliptic curve. Our main result is an explicit formula for this image in terms of Eichler integrals of Eisenstein series, and is analogous to Deligne's computation of the depth one quotient of the Drinfeld associator. We also show how to retrieve Zagier's extended period polynomials of Eisenstein series, as well as the values at zero of Beilinson--Levin's elliptic polylogarithms from the meta-abelian elliptic KZB associator.","authors_text":"Nils Matthes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-02T08:59:21Z","title":"The meta-abelian elliptic KZB associator and periods of Eisenstein series"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.00740","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":"sha256:6fa5b83fca1720cf7d447014437af33c0efe18529c88ef5b880680f47716f0fc","target":"record","created_at":"2026-05-18T00:30:48Z","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":"fc73d2c783b5e282d365ae3e9e64541db588219209aef939bb3aab1ccc3eb8a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-08-02T08:59:21Z","title_canon_sha256":"3dd7ef79f833730f16a6573a1f153e4ee91acb60a3ef30b8558b2fd17c2eadb2"},"schema_version":"1.0","source":{"id":"1608.00740","kind":"arxiv","version":3}},"canonical_sha256":"57d8b711cb02620ba8cd2a859feff94a4f16587f0e9f52aec8e19f14e29a5951","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"57d8b711cb02620ba8cd2a859feff94a4f16587f0e9f52aec8e19f14e29a5951","first_computed_at":"2026-05-18T00:30:48.910777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:48.910777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9xy2Cp/FaVdFH5B5d0o7zW+pM3eSb/9nCzbKygtzmGNgLwdJgByrVXjAObNUah6VpyZSU3zpabttyWXw5StDDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:48.911304Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.00740","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fa5b83fca1720cf7d447014437af33c0efe18529c88ef5b880680f47716f0fc","sha256:6b68f5ba2890a6925c18532b7a8bca4620be00027e01cd8da132a3d1e8f66248"],"state_sha256":"b2104f630c2367a579a8d37e40bb7caff5819669b905668557b124f757b2b31f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hbYGVDLm0eNS/7VcRg8B+7KLIcgjvoTIbjr1qFxl7LZjTEtXmo4taSUR30hFgpLKSW19dh7jqBI6IJt5EfDLDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T04:01:23.832383Z","bundle_sha256":"da76b541f268eb7f1cfff15d44b920f4251ed15326a282093517b10dab0395fd"}}