{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4RPA7GWVPXQJ62TWPTUTTK7YD7","short_pith_number":"pith:4RPA7GWV","canonical_record":{"source":{"id":"1708.03119","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-08-10T08:26:57Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"56bf58c331614a0a0cfdbd6904549bae9613f7cdda77f33261054ab8bcfbd9ff","abstract_canon_sha256":"8af861d1b10851d18ef6f60699ac03aa3342313a0c4849fac01409777b6ce1b6"},"schema_version":"1.0"},"canonical_sha256":"e45e0f9ad57de09f6a767ce939abf81fc11d912f0b92945b27bda8156dda9ac9","source":{"kind":"arxiv","id":"1708.03119","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03119","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03119v2","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03119","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"4RPA7GWVPXQJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4RPA7GWVPXQJ62TW","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4RPA7GWV","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4RPA7GWVPXQJ62TWPTUTTK7YD7","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03119","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-08-10T08:26:57Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"56bf58c331614a0a0cfdbd6904549bae9613f7cdda77f33261054ab8bcfbd9ff","abstract_canon_sha256":"8af861d1b10851d18ef6f60699ac03aa3342313a0c4849fac01409777b6ce1b6"},"schema_version":"1.0"},"canonical_sha256":"e45e0f9ad57de09f6a767ce939abf81fc11d912f0b92945b27bda8156dda9ac9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:44.606305Z","signature_b64":"rjTopT+DjHn32QQTmA4Z3gPinpLJapAM3LcEvyeJEPEXzlhCscfISxvhBS3pMWh7vWnwCc28RXKaD53JXIOnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e45e0f9ad57de09f6a767ce939abf81fc11d912f0b92945b27bda8156dda9ac9","last_reissued_at":"2026-05-18T00:22:44.605735Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:44.605735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03119","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":"2026-05-18T00:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zTv1hGafXo9OCySb3/kKU6uf/NxWakz2d1XJEMpzQtuc2XFxgR30/36Y8na+hrCpFepFphGvz9DKB+n0ReMLCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:45:46.711920Z"},"content_sha256":"97b5e5854966d4261c1a642f148c69ea9cb011297eb2ba7302166b968612cac5","schema_version":"1.0","event_id":"sha256:97b5e5854966d4261c1a642f148c69ea9cb011297eb2ba7302166b968612cac5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4RPA7GWVPXQJ62TWPTUTTK7YD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Goldman-Turaev formality from the Knizhnik-Zamolodchikov connection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.QA","authors_text":"Anton Alekseev, Florian Naef","submitted_at":"2017-08-10T08:26:57Z","abstract_excerpt":"For an oriented 2-dimensional manifold $\\Sigma$ of genus $g$ with $n$ boundary components the space $\\mathbb{C}\\pi_1(\\Sigma)/[\\mathbb{C}\\pi_1(\\Sigma), \\mathbb{C}\\pi_1(\\Sigma)]$ carries the Goldman-Turaev Lie bialgebra structure defined in terms of intersections and self-intersections of curves. Its associated graded (under the natural filtration) is described by cyclic words in $H_1(\\Sigma)$ and carries the structure of a necklace Schedler Lie bialgebra. The isomorphism between these two structures in genus zero has been established in [G. Massuyeau, Formal descriptions of Turaev's loop operat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03119","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":"2026-05-18T00:22:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1VIYTOW2o8gmVUBTUTBukYxLptwcvCSjA33CZBwIQQkla3hvqeg0JLxhX6JwEWQ6eETWsvvB28hxcquAG0pJAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T16:45:46.712666Z"},"content_sha256":"3c91ec6129235af8a01b4054743f8e44b381904fbaae0aea4cb76e37b0615d97","schema_version":"1.0","event_id":"sha256:3c91ec6129235af8a01b4054743f8e44b381904fbaae0aea4cb76e37b0615d97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4RPA7GWVPXQJ62TWPTUTTK7YD7/bundle.json","state_url":"https://pith.science/pith/4RPA7GWVPXQJ62TWPTUTTK7YD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4RPA7GWVPXQJ62TWPTUTTK7YD7/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":"2026-06-07T16:45:46Z","links":{"resolver":"https://pith.science/pith/4RPA7GWVPXQJ62TWPTUTTK7YD7","bundle":"https://pith.science/pith/4RPA7GWVPXQJ62TWPTUTTK7YD7/bundle.json","state":"https://pith.science/pith/4RPA7GWVPXQJ62TWPTUTTK7YD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4RPA7GWVPXQJ62TWPTUTTK7YD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4RPA7GWVPXQJ62TWPTUTTK7YD7","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":"8af861d1b10851d18ef6f60699ac03aa3342313a0c4849fac01409777b6ce1b6","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-08-10T08:26:57Z","title_canon_sha256":"56bf58c331614a0a0cfdbd6904549bae9613f7cdda77f33261054ab8bcfbd9ff"},"schema_version":"1.0","source":{"id":"1708.03119","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03119","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03119v2","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03119","created_at":"2026-05-18T00:22:44Z"},{"alias_kind":"pith_short_12","alias_value":"4RPA7GWVPXQJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4RPA7GWVPXQJ62TW","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4RPA7GWV","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:3c91ec6129235af8a01b4054743f8e44b381904fbaae0aea4cb76e37b0615d97","target":"graph","created_at":"2026-05-18T00:22:44Z","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":"For an oriented 2-dimensional manifold $\\Sigma$ of genus $g$ with $n$ boundary components the space $\\mathbb{C}\\pi_1(\\Sigma)/[\\mathbb{C}\\pi_1(\\Sigma), \\mathbb{C}\\pi_1(\\Sigma)]$ carries the Goldman-Turaev Lie bialgebra structure defined in terms of intersections and self-intersections of curves. Its associated graded (under the natural filtration) is described by cyclic words in $H_1(\\Sigma)$ and carries the structure of a necklace Schedler Lie bialgebra. The isomorphism between these two structures in genus zero has been established in [G. Massuyeau, Formal descriptions of Turaev's loop operat","authors_text":"Anton Alekseev, Florian Naef","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-08-10T08:26:57Z","title":"Goldman-Turaev formality from the Knizhnik-Zamolodchikov connection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03119","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":"sha256:97b5e5854966d4261c1a642f148c69ea9cb011297eb2ba7302166b968612cac5","target":"record","created_at":"2026-05-18T00:22:44Z","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":"8af861d1b10851d18ef6f60699ac03aa3342313a0c4849fac01409777b6ce1b6","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2017-08-10T08:26:57Z","title_canon_sha256":"56bf58c331614a0a0cfdbd6904549bae9613f7cdda77f33261054ab8bcfbd9ff"},"schema_version":"1.0","source":{"id":"1708.03119","kind":"arxiv","version":2}},"canonical_sha256":"e45e0f9ad57de09f6a767ce939abf81fc11d912f0b92945b27bda8156dda9ac9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e45e0f9ad57de09f6a767ce939abf81fc11d912f0b92945b27bda8156dda9ac9","first_computed_at":"2026-05-18T00:22:44.605735Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:44.605735Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rjTopT+DjHn32QQTmA4Z3gPinpLJapAM3LcEvyeJEPEXzlhCscfISxvhBS3pMWh7vWnwCc28RXKaD53JXIOnDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:44.606305Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03119","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97b5e5854966d4261c1a642f148c69ea9cb011297eb2ba7302166b968612cac5","sha256:3c91ec6129235af8a01b4054743f8e44b381904fbaae0aea4cb76e37b0615d97"],"state_sha256":"8bda29cff9632973e997bdf484cb372be006cfce0c9b7b096065116eb1784848"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"twGrSOMBLnauEXuU3JrF4qheJsLIL0rxE4gqcRApObhNmIh/+cYjJxLpfsefKZHhaj/z5NPWfCLTq+Csl1VOAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T16:45:46.716298Z","bundle_sha256":"c8bcd34afb5dbc61a6616107cc16649eae0f86ae7f2acea235b54843937040ac"}}