{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:AM3KTB4TDAJJJBKTMHGC5UGJ5Y","short_pith_number":"pith:AM3KTB4T","canonical_record":{"source":{"id":"1305.2215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-09T20:59:55Z","cross_cats_sorted":[],"title_canon_sha256":"80756010eaf5d793db014b199ce3fddb138b9661aa94aa70e966ae9a4b762a88","abstract_canon_sha256":"dc768ab296d6fe9372b352f2c8aac52ef63752b7bd94f2481b730198e7ec725a"},"schema_version":"1.0"},"canonical_sha256":"0336a98793181294855361cc2ed0c9ee1bdeb50237ec56ddb78639347179f822","source":{"kind":"arxiv","id":"1305.2215","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2215","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2215v1","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2215","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"pith_short_12","alias_value":"AM3KTB4TDAJJ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AM3KTB4TDAJJJBKT","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AM3KTB4T","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:AM3KTB4TDAJJJBKTMHGC5UGJ5Y","target":"record","payload":{"canonical_record":{"source":{"id":"1305.2215","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-09T20:59:55Z","cross_cats_sorted":[],"title_canon_sha256":"80756010eaf5d793db014b199ce3fddb138b9661aa94aa70e966ae9a4b762a88","abstract_canon_sha256":"dc768ab296d6fe9372b352f2c8aac52ef63752b7bd94f2481b730198e7ec725a"},"schema_version":"1.0"},"canonical_sha256":"0336a98793181294855361cc2ed0c9ee1bdeb50237ec56ddb78639347179f822","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:26:08.411265Z","signature_b64":"UUxG6zeVX0vi/ayFxo9S5D/XNUt7iCKwtx4Vhd97ELivov2/mFB/V2vEDvq/W7aJZr7CR9ubvTJAVrUquzGJBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0336a98793181294855361cc2ed0c9ee1bdeb50237ec56ddb78639347179f822","last_reissued_at":"2026-05-18T03:26:08.410549Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:26:08.410549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.2215","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":"2026-05-18T03:26:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yNTtAcNkGuaoohbuZUbD9OB2IBX1PRtq5BRDM0AiywEyBjVCyzlNtzKj4xqDNHZnEjLAc5Rc3sshWWaQSOUtCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:25:29.076462Z"},"content_sha256":"ee3ed755e3343f8b9ea608548016d93b3a97fc43e62ae48212a515b47cdace0c","schema_version":"1.0","event_id":"sha256:ee3ed755e3343f8b9ea608548016d93b3a97fc43e62ae48212a515b47cdace0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:AM3KTB4TDAJJJBKTMHGC5UGJ5Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-entwining structures and their applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Bartosz Zielinski, Deepak Parashar, Florin F. Nichita","submitted_at":"2013-05-09T20:59:55Z","abstract_excerpt":"Semi-entwining structures are proposed as concepts simpler than entwining structures, yet they are shown to have interesting applications in constructing intertwining operators and braided algebras, lifting functors, finding solutions for Yang-Baxter systems, etc. While for entwining structures one can associate corings, for semi-entwining structures one can associate comodule algebra structures where the algebra involved is a bialgebra satisfying certain properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2215","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":"2026-05-18T03:26:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"otwGoFAqoRgOBSxI94PRj3v8jZYnodqdMrJdq4ftn+6B6LumDwbhgW+BgKjMVRJZ6vwNjsKbEiPk3bRDkyaqAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:25:29.076817Z"},"content_sha256":"896d24de0814f398f0353c20d157dbafd8fddd1aa61d57bdc96e7af442c89566","schema_version":"1.0","event_id":"sha256:896d24de0814f398f0353c20d157dbafd8fddd1aa61d57bdc96e7af442c89566"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AM3KTB4TDAJJJBKTMHGC5UGJ5Y/bundle.json","state_url":"https://pith.science/pith/AM3KTB4TDAJJJBKTMHGC5UGJ5Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AM3KTB4TDAJJJBKTMHGC5UGJ5Y/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":"2026-05-28T03:25:29Z","links":{"resolver":"https://pith.science/pith/AM3KTB4TDAJJJBKTMHGC5UGJ5Y","bundle":"https://pith.science/pith/AM3KTB4TDAJJJBKTMHGC5UGJ5Y/bundle.json","state":"https://pith.science/pith/AM3KTB4TDAJJJBKTMHGC5UGJ5Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AM3KTB4TDAJJJBKTMHGC5UGJ5Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:AM3KTB4TDAJJJBKTMHGC5UGJ5Y","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":"dc768ab296d6fe9372b352f2c8aac52ef63752b7bd94f2481b730198e7ec725a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-09T20:59:55Z","title_canon_sha256":"80756010eaf5d793db014b199ce3fddb138b9661aa94aa70e966ae9a4b762a88"},"schema_version":"1.0","source":{"id":"1305.2215","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2215","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2215v1","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2215","created_at":"2026-05-18T03:26:08Z"},{"alias_kind":"pith_short_12","alias_value":"AM3KTB4TDAJJ","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"AM3KTB4TDAJJJBKT","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"AM3KTB4T","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:896d24de0814f398f0353c20d157dbafd8fddd1aa61d57bdc96e7af442c89566","target":"graph","created_at":"2026-05-18T03:26:08Z","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":"Semi-entwining structures are proposed as concepts simpler than entwining structures, yet they are shown to have interesting applications in constructing intertwining operators and braided algebras, lifting functors, finding solutions for Yang-Baxter systems, etc. While for entwining structures one can associate corings, for semi-entwining structures one can associate comodule algebra structures where the algebra involved is a bialgebra satisfying certain properties.","authors_text":"Bartosz Zielinski, Deepak Parashar, Florin F. Nichita","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-09T20:59:55Z","title":"Semi-entwining structures and their applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2215","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:ee3ed755e3343f8b9ea608548016d93b3a97fc43e62ae48212a515b47cdace0c","target":"record","created_at":"2026-05-18T03:26:08Z","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":"dc768ab296d6fe9372b352f2c8aac52ef63752b7bd94f2481b730198e7ec725a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-05-09T20:59:55Z","title_canon_sha256":"80756010eaf5d793db014b199ce3fddb138b9661aa94aa70e966ae9a4b762a88"},"schema_version":"1.0","source":{"id":"1305.2215","kind":"arxiv","version":1}},"canonical_sha256":"0336a98793181294855361cc2ed0c9ee1bdeb50237ec56ddb78639347179f822","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0336a98793181294855361cc2ed0c9ee1bdeb50237ec56ddb78639347179f822","first_computed_at":"2026-05-18T03:26:08.410549Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:26:08.410549Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UUxG6zeVX0vi/ayFxo9S5D/XNUt7iCKwtx4Vhd97ELivov2/mFB/V2vEDvq/W7aJZr7CR9ubvTJAVrUquzGJBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:26:08.411265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2215","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee3ed755e3343f8b9ea608548016d93b3a97fc43e62ae48212a515b47cdace0c","sha256:896d24de0814f398f0353c20d157dbafd8fddd1aa61d57bdc96e7af442c89566"],"state_sha256":"4277d5ecef94f23f83f61369055bc32638ba1153ddf14c3fb26a4c2006df2fa6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cuEAPccBJ7en+xrBDtu1ZvQ/Q8drezoVT4AYLQY3gigImutoGVNp2jH08KeylQBU4UWl0Ji5InWXZ1WDtsGQBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:25:29.078800Z","bundle_sha256":"a0ea880c0188a6f86296c12ef1941ae6e9bed2632cbbc40c62b93a3b4002e103"}}