{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:LBVWQ5SPVR64GJRFU5IOQ5CAD3","short_pith_number":"pith:LBVWQ5SP","canonical_record":{"source":{"id":"2210.03867","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2022-10-08T01:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"e99101453ab1e9692f653fde469747d35bc1aa56375817509602decb456849fe","abstract_canon_sha256":"ab3be29ab0d0288ec936dff88d6c49f46ab6bb32a5f5a7eeb6c150af4e5a28ce"},"schema_version":"1.0"},"canonical_sha256":"586b68764fac7dc32625a750e874401ed61db1ee3bdc3e41c370ad090ac4c852","source":{"kind":"arxiv","id":"2210.03867","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.03867","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"2210.03867v1","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.03867","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"LBVWQ5SPVR64","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"LBVWQ5SPVR64GJRF","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"LBVWQ5SP","created_at":"2026-07-05T05:04:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:LBVWQ5SPVR64GJRFU5IOQ5CAD3","target":"record","payload":{"canonical_record":{"source":{"id":"2210.03867","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2022-10-08T01:20:01Z","cross_cats_sorted":[],"title_canon_sha256":"e99101453ab1e9692f653fde469747d35bc1aa56375817509602decb456849fe","abstract_canon_sha256":"ab3be29ab0d0288ec936dff88d6c49f46ab6bb32a5f5a7eeb6c150af4e5a28ce"},"schema_version":"1.0"},"canonical_sha256":"586b68764fac7dc32625a750e874401ed61db1ee3bdc3e41c370ad090ac4c852","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:04:33.203490Z","signature_b64":"PpYJecVfR4LRGlE0CEtFho7LVFf5I+zv8g/ZM6EIlpNunE1TIE6swKtWnfoJvdecB9Is3HAGIC8/1LsW6oK2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"586b68764fac7dc32625a750e874401ed61db1ee3bdc3e41c370ad090ac4c852","last_reissued_at":"2026-07-05T05:04:33.203102Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:04:33.203102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2210.03867","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":"2026-07-05T05:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0/JIEB1P8jW+qZfkG5t3vG4+MH/tdu6DYO+KCKf8zLDaXjVHX8p67OLyccc5OGsDzCpY1k2vAJn5vx+If7NxCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T01:20:11.176412Z"},"content_sha256":"03f359d1185088b2d275b3ec0a6be2b6e3b98d22d892e585c0af9f6bedd33d1e","schema_version":"1.0","event_id":"sha256:03f359d1185088b2d275b3ec0a6be2b6e3b98d22d892e585c0af9f6bedd33d1e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:LBVWQ5SPVR64GJRFU5IOQ5CAD3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"2-unitary Operads of GK-dimension 3","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Dong-Xing Fu, James J. Zhang, Yan-Hong Bao, Yu Ye","submitted_at":"2022-10-08T01:20:01Z","abstract_excerpt":"We study and classify the 2-unitary operads of Gelfand-Kirillov dimension three."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.03867","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/2210.03867/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":"2026-07-05T05:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l+l+U8olBLVINWBItRx/sPrlqt8YL7UPhqV0DnYmBbtF51MdsVFgohnmBvepxifiOR4uWjJtEimbk2CkhQhaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-15T01:20:11.176772Z"},"content_sha256":"6fd03c4785968bc18652448affa99d316840fec5a701f78b07b7aa917eb02dcc","schema_version":"1.0","event_id":"sha256:6fd03c4785968bc18652448affa99d316840fec5a701f78b07b7aa917eb02dcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LBVWQ5SPVR64GJRFU5IOQ5CAD3/bundle.json","state_url":"https://pith.science/pith/LBVWQ5SPVR64GJRFU5IOQ5CAD3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LBVWQ5SPVR64GJRFU5IOQ5CAD3/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":"2026-07-15T01:20:11Z","links":{"resolver":"https://pith.science/pith/LBVWQ5SPVR64GJRFU5IOQ5CAD3","bundle":"https://pith.science/pith/LBVWQ5SPVR64GJRFU5IOQ5CAD3/bundle.json","state":"https://pith.science/pith/LBVWQ5SPVR64GJRFU5IOQ5CAD3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LBVWQ5SPVR64GJRFU5IOQ5CAD3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:LBVWQ5SPVR64GJRFU5IOQ5CAD3","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":"ab3be29ab0d0288ec936dff88d6c49f46ab6bb32a5f5a7eeb6c150af4e5a28ce","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2022-10-08T01:20:01Z","title_canon_sha256":"e99101453ab1e9692f653fde469747d35bc1aa56375817509602decb456849fe"},"schema_version":"1.0","source":{"id":"2210.03867","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2210.03867","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"2210.03867v1","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.03867","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"LBVWQ5SPVR64","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"LBVWQ5SPVR64GJRF","created_at":"2026-07-05T05:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"LBVWQ5SP","created_at":"2026-07-05T05:04:33Z"}],"graph_snapshots":[{"event_id":"sha256:6fd03c4785968bc18652448affa99d316840fec5a701f78b07b7aa917eb02dcc","target":"graph","created_at":"2026-07-05T05:04:33Z","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/2210.03867/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study and classify the 2-unitary operads of Gelfand-Kirillov dimension three.","authors_text":"Dong-Xing Fu, James J. Zhang, Yan-Hong Bao, Yu Ye","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2022-10-08T01:20:01Z","title":"2-unitary Operads of GK-dimension 3"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.03867","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":"sha256:03f359d1185088b2d275b3ec0a6be2b6e3b98d22d892e585c0af9f6bedd33d1e","target":"record","created_at":"2026-07-05T05:04:33Z","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":"ab3be29ab0d0288ec936dff88d6c49f46ab6bb32a5f5a7eeb6c150af4e5a28ce","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.RA","submitted_at":"2022-10-08T01:20:01Z","title_canon_sha256":"e99101453ab1e9692f653fde469747d35bc1aa56375817509602decb456849fe"},"schema_version":"1.0","source":{"id":"2210.03867","kind":"arxiv","version":1}},"canonical_sha256":"586b68764fac7dc32625a750e874401ed61db1ee3bdc3e41c370ad090ac4c852","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"586b68764fac7dc32625a750e874401ed61db1ee3bdc3e41c370ad090ac4c852","first_computed_at":"2026-07-05T05:04:33.203102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:04:33.203102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PpYJecVfR4LRGlE0CEtFho7LVFf5I+zv8g/ZM6EIlpNunE1TIE6swKtWnfoJvdecB9Is3HAGIC8/1LsW6oK2Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:04:33.203490Z","signed_message":"canonical_sha256_bytes"},"source_id":"2210.03867","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03f359d1185088b2d275b3ec0a6be2b6e3b98d22d892e585c0af9f6bedd33d1e","sha256:6fd03c4785968bc18652448affa99d316840fec5a701f78b07b7aa917eb02dcc"],"state_sha256":"9ea6ea63dcb98921e3f8f5324fc93e9fcff873769eef4317d2a75386e43cdc4e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORqXTgI7RJpGs2lBvzf+dnXqIN99VSFy5ESeO4PUbVUYNFVUD0Jlgjg+8gfJL5v9DSiyfi7iHwXmkxxENU/gAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-15T01:20:11.178823Z","bundle_sha256":"04a7c0b0804cad68a70d4c3775d40469910aa24684935ea5f115694e0d4be409"}}