{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:L2AJZKLGS7K3ZVUQNSYPNNWGLB","short_pith_number":"pith:L2AJZKLG","canonical_record":{"source":{"id":"2311.14574","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2023-11-24T16:05:34Z","cross_cats_sorted":[],"title_canon_sha256":"b8cfc844c31d6f3cf05d2a0bfafbb23c622a61ca5a4e64875f4ec90aae3dcf6e","abstract_canon_sha256":"a49d07d0c6166056ed5ead01804b3fe763385b3b7833330b0132412cf3361d7d"},"schema_version":"1.0"},"canonical_sha256":"5e809ca96697d5bcd6906cb0f6b6c6587b4aca1d81ba89239c8ea6f2195d488c","source":{"kind":"arxiv","id":"2311.14574","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.14574","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"arxiv_version","alias_value":"2311.14574v1","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.14574","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"pith_short_12","alias_value":"L2AJZKLGS7K3","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"pith_short_16","alias_value":"L2AJZKLGS7K3ZVUQ","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"pith_short_8","alias_value":"L2AJZKLG","created_at":"2026-07-05T07:16:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:L2AJZKLGS7K3ZVUQNSYPNNWGLB","target":"record","payload":{"canonical_record":{"source":{"id":"2311.14574","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2023-11-24T16:05:34Z","cross_cats_sorted":[],"title_canon_sha256":"b8cfc844c31d6f3cf05d2a0bfafbb23c622a61ca5a4e64875f4ec90aae3dcf6e","abstract_canon_sha256":"a49d07d0c6166056ed5ead01804b3fe763385b3b7833330b0132412cf3361d7d"},"schema_version":"1.0"},"canonical_sha256":"5e809ca96697d5bcd6906cb0f6b6c6587b4aca1d81ba89239c8ea6f2195d488c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:16:20.851960Z","signature_b64":"+KlrWxDb7YValrChoJjVKjeMWskiR7O1do8CdTAfEtIDhStLXtrr9KmuyDK4iIuknLM54skxugKCJIAhJwANBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e809ca96697d5bcd6906cb0f6b6c6587b4aca1d81ba89239c8ea6f2195d488c","last_reissued_at":"2026-07-05T07:16:20.851413Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:16:20.851413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.14574","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":"2026-07-05T07:16:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fj41GzRKOkLiZX+P6qyAPHxZ0OajnymrFfV99rIQpYK4u43bFahzWBf0skbIwNGTzOQVbeEqSgUQe8iLuyVbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T01:14:40.247189Z"},"content_sha256":"5c5d899e85c64eb359d5b206eb128039bc8a3ec080849db5a2110e4a9cfd0354","schema_version":"1.0","event_id":"sha256:5c5d899e85c64eb359d5b206eb128039bc8a3ec080849db5a2110e4a9cfd0354"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:L2AJZKLGS7K3ZVUQNSYPNNWGLB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two Galois connections for left quasigroups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Marco Bonatto","submitted_at":"2023-11-24T16:05:34Z","abstract_excerpt":"We investigate two Galois connection between the congruence lattice and the lattice of subgroups of the displacement group of left quasigroups. Such connections were already studied for racks and quandles. We introduce the class of left quasigroups having congruence determined by subgroups (resp. orbits) and we extend a known result for quandles."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.14574","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/2311.14574/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":"2026-07-05T07:16:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H0saiKkqmYVrMqi6dHSqSboekh9E7iHi0zkg6b8OaNB5akyguifegZXnw6QZj2GIS9a9UorVG3EkV/CH87CwAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T01:14:40.248043Z"},"content_sha256":"30fb34bc6c336d28af613352a77a71347c3494238a504c52f8b21c34f16fe7a7","schema_version":"1.0","event_id":"sha256:30fb34bc6c336d28af613352a77a71347c3494238a504c52f8b21c34f16fe7a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L2AJZKLGS7K3ZVUQNSYPNNWGLB/bundle.json","state_url":"https://pith.science/pith/L2AJZKLGS7K3ZVUQNSYPNNWGLB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L2AJZKLGS7K3ZVUQNSYPNNWGLB/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":"2026-08-24T01:14:40Z","links":{"resolver":"https://pith.science/pith/L2AJZKLGS7K3ZVUQNSYPNNWGLB","bundle":"https://pith.science/pith/L2AJZKLGS7K3ZVUQNSYPNNWGLB/bundle.json","state":"https://pith.science/pith/L2AJZKLGS7K3ZVUQNSYPNNWGLB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L2AJZKLGS7K3ZVUQNSYPNNWGLB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:L2AJZKLGS7K3ZVUQNSYPNNWGLB","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":"a49d07d0c6166056ed5ead01804b3fe763385b3b7833330b0132412cf3361d7d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2023-11-24T16:05:34Z","title_canon_sha256":"b8cfc844c31d6f3cf05d2a0bfafbb23c622a61ca5a4e64875f4ec90aae3dcf6e"},"schema_version":"1.0","source":{"id":"2311.14574","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.14574","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"arxiv_version","alias_value":"2311.14574v1","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.14574","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"pith_short_12","alias_value":"L2AJZKLGS7K3","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"pith_short_16","alias_value":"L2AJZKLGS7K3ZVUQ","created_at":"2026-07-05T07:16:20Z"},{"alias_kind":"pith_short_8","alias_value":"L2AJZKLG","created_at":"2026-07-05T07:16:20Z"}],"graph_snapshots":[{"event_id":"sha256:30fb34bc6c336d28af613352a77a71347c3494238a504c52f8b21c34f16fe7a7","target":"graph","created_at":"2026-07-05T07:16:20Z","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/2311.14574/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate two Galois connection between the congruence lattice and the lattice of subgroups of the displacement group of left quasigroups. Such connections were already studied for racks and quandles. We introduce the class of left quasigroups having congruence determined by subgroups (resp. orbits) and we extend a known result for quandles.","authors_text":"Marco Bonatto","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2023-11-24T16:05:34Z","title":"Two Galois connections for left quasigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.14574","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":"sha256:5c5d899e85c64eb359d5b206eb128039bc8a3ec080849db5a2110e4a9cfd0354","target":"record","created_at":"2026-07-05T07:16:20Z","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":"a49d07d0c6166056ed5ead01804b3fe763385b3b7833330b0132412cf3361d7d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GR","submitted_at":"2023-11-24T16:05:34Z","title_canon_sha256":"b8cfc844c31d6f3cf05d2a0bfafbb23c622a61ca5a4e64875f4ec90aae3dcf6e"},"schema_version":"1.0","source":{"id":"2311.14574","kind":"arxiv","version":1}},"canonical_sha256":"5e809ca96697d5bcd6906cb0f6b6c6587b4aca1d81ba89239c8ea6f2195d488c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e809ca96697d5bcd6906cb0f6b6c6587b4aca1d81ba89239c8ea6f2195d488c","first_computed_at":"2026-07-05T07:16:20.851413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:16:20.851413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+KlrWxDb7YValrChoJjVKjeMWskiR7O1do8CdTAfEtIDhStLXtrr9KmuyDK4iIuknLM54skxugKCJIAhJwANBA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:16:20.851960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.14574","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c5d899e85c64eb359d5b206eb128039bc8a3ec080849db5a2110e4a9cfd0354","sha256:30fb34bc6c336d28af613352a77a71347c3494238a504c52f8b21c34f16fe7a7"],"state_sha256":"ce6f5612c3b69edd12fa359fe30c0fde9ea4c77b377574836ba0f856641835ab"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ECDGG6DhBKsfGkb+s7K52Erly9Hp9GOtxWZ657FO8I3NfZ3OXDp9W+EiYx3V2SRFClpujmVqhsTzsgdEVi84Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-24T01:14:40.254464Z","bundle_sha256":"f464c86957a9233c920903f8412df1ef740f22beabbe614c65228248f4648ed1"}}