{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:VFUOY6LRA5RFUFN7NZFJGEZXB4","short_pith_number":"pith:VFUOY6LR","canonical_record":{"source":{"id":"1711.03696","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-10T05:13:06Z","cross_cats_sorted":[],"title_canon_sha256":"bd278488429389443be32daabcdee62016a3bd736b372cecc6ccdc6eb9bd24be","abstract_canon_sha256":"48bbe29ed01b5cd200c8c62649e1a802d2cd4a899e4d9459186dcf84db8c7931"},"schema_version":"1.0"},"canonical_sha256":"a968ec797107625a15bf6e4a9313370f0fc6bb402d6cf00b66ec337180251769","source":{"kind":"arxiv","id":"1711.03696","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.03696","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"arxiv_version","alias_value":"1711.03696v1","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03696","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"pith_short_12","alias_value":"VFUOY6LRA5RF","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VFUOY6LRA5RFUFN7","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VFUOY6LR","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:VFUOY6LRA5RFUFN7NZFJGEZXB4","target":"record","payload":{"canonical_record":{"source":{"id":"1711.03696","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-10T05:13:06Z","cross_cats_sorted":[],"title_canon_sha256":"bd278488429389443be32daabcdee62016a3bd736b372cecc6ccdc6eb9bd24be","abstract_canon_sha256":"48bbe29ed01b5cd200c8c62649e1a802d2cd4a899e4d9459186dcf84db8c7931"},"schema_version":"1.0"},"canonical_sha256":"a968ec797107625a15bf6e4a9313370f0fc6bb402d6cf00b66ec337180251769","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:01.889056Z","signature_b64":"0tcHwrbtdYq79uIfC3q6PYG77sqVOMuerwM5+eocWl9brdfktYgWuIitijCYJhpOJEDqweF92jMckyAiWCtSDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a968ec797107625a15bf6e4a9313370f0fc6bb402d6cf00b66ec337180251769","last_reissued_at":"2026-05-18T00:02:01.887888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:01.887888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.03696","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":"2026-05-18T00:02:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rzHkh8igh1kj8jLGr2exsBkwsNgukSvOyUFXIThWoT4LfLEb+FgzEnwqV+71AYd/SlkWUabQskxqY+muPi5mBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T17:40:25.638229Z"},"content_sha256":"996e40ccea46b2d1e8b40fb8bc5ed905aec39f04bc4d990d542435b3c403dc93","schema_version":"1.0","event_id":"sha256:996e40ccea46b2d1e8b40fb8bc5ed905aec39f04bc4d990d542435b3c403dc93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:VFUOY6LRA5RFUFN7NZFJGEZXB4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-dual binary quadratic operads","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Pavel Kolesnikov","submitted_at":"2017-11-10T05:13:06Z","abstract_excerpt":"We describe those binary quadratic operads generated by a two-dimensional space that are isomorphic to their Koszul dual operads."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03696","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":""},"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":"2026-05-18T00:02:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z8L9Pofigrs7HuHoDm83OM/VTAyzZ5s9+5UN35Jraft7ssGY3KxbWd6KtvB8VVIJrlAfZERr5KQi6ttEYh7bBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T17:40:25.638994Z"},"content_sha256":"769ca506f4aaacb923dfd5f23365b9f870fb856e156f81fdccb0f896356a50fb","schema_version":"1.0","event_id":"sha256:769ca506f4aaacb923dfd5f23365b9f870fb856e156f81fdccb0f896356a50fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFUOY6LRA5RFUFN7NZFJGEZXB4/bundle.json","state_url":"https://pith.science/pith/VFUOY6LRA5RFUFN7NZFJGEZXB4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFUOY6LRA5RFUFN7NZFJGEZXB4/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":"2026-06-10T17:40:25Z","links":{"resolver":"https://pith.science/pith/VFUOY6LRA5RFUFN7NZFJGEZXB4","bundle":"https://pith.science/pith/VFUOY6LRA5RFUFN7NZFJGEZXB4/bundle.json","state":"https://pith.science/pith/VFUOY6LRA5RFUFN7NZFJGEZXB4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFUOY6LRA5RFUFN7NZFJGEZXB4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:VFUOY6LRA5RFUFN7NZFJGEZXB4","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":"48bbe29ed01b5cd200c8c62649e1a802d2cd4a899e4d9459186dcf84db8c7931","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-10T05:13:06Z","title_canon_sha256":"bd278488429389443be32daabcdee62016a3bd736b372cecc6ccdc6eb9bd24be"},"schema_version":"1.0","source":{"id":"1711.03696","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.03696","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"arxiv_version","alias_value":"1711.03696v1","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.03696","created_at":"2026-05-18T00:02:01Z"},{"alias_kind":"pith_short_12","alias_value":"VFUOY6LRA5RF","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"VFUOY6LRA5RFUFN7","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"VFUOY6LR","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:769ca506f4aaacb923dfd5f23365b9f870fb856e156f81fdccb0f896356a50fb","target":"graph","created_at":"2026-05-18T00:02:01Z","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 describe those binary quadratic operads generated by a two-dimensional space that are isomorphic to their Koszul dual operads.","authors_text":"Pavel Kolesnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-10T05:13:06Z","title":"Self-dual binary quadratic operads"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.03696","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":"sha256:996e40ccea46b2d1e8b40fb8bc5ed905aec39f04bc4d990d542435b3c403dc93","target":"record","created_at":"2026-05-18T00:02:01Z","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":"48bbe29ed01b5cd200c8c62649e1a802d2cd4a899e4d9459186dcf84db8c7931","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-11-10T05:13:06Z","title_canon_sha256":"bd278488429389443be32daabcdee62016a3bd736b372cecc6ccdc6eb9bd24be"},"schema_version":"1.0","source":{"id":"1711.03696","kind":"arxiv","version":1}},"canonical_sha256":"a968ec797107625a15bf6e4a9313370f0fc6bb402d6cf00b66ec337180251769","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a968ec797107625a15bf6e4a9313370f0fc6bb402d6cf00b66ec337180251769","first_computed_at":"2026-05-18T00:02:01.887888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:01.887888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0tcHwrbtdYq79uIfC3q6PYG77sqVOMuerwM5+eocWl9brdfktYgWuIitijCYJhpOJEDqweF92jMckyAiWCtSDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:01.889056Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.03696","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:996e40ccea46b2d1e8b40fb8bc5ed905aec39f04bc4d990d542435b3c403dc93","sha256:769ca506f4aaacb923dfd5f23365b9f870fb856e156f81fdccb0f896356a50fb"],"state_sha256":"3cfe2f1c335141831d1d8d727767ac6955e89f96ae5c59e3ade57c188780fd26"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mky0HFREswSwVb5mFISxe0rKBojSV9gisnBvyshOI+mimIxFkDXov/uoMKm/uK5dIuUUU+L5xqAtSip0TUWEAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T17:40:25.643206Z","bundle_sha256":"215024b345b8cad68c61fb3eb53ab44c91ce6fb17531acce4834887da26c0e19"}}