{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:W5P5DAITZBUVPF2RE6EIXHB577","short_pith_number":"pith:W5P5DAIT","canonical_record":{"source":{"id":"1501.00709","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-01-04T19:29:29Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"726f81bac416f86218601129c999a043193e1e2d18c81dc39ff660f18ac2b44f","abstract_canon_sha256":"b3c1c1ebed76682628d036a97256969a909da85c50d8a1f4f96675298a550eb1"},"schema_version":"1.0"},"canonical_sha256":"b75fd18113c86957975127888b9c3dffde0abdee0b1c87206bf890d759a697f9","source":{"kind":"arxiv","id":"1501.00709","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00709","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00709v1","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00709","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"W5P5DAITZBUV","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W5P5DAITZBUVPF2R","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W5P5DAIT","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:W5P5DAITZBUVPF2RE6EIXHB577","target":"record","payload":{"canonical_record":{"source":{"id":"1501.00709","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-01-04T19:29:29Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"726f81bac416f86218601129c999a043193e1e2d18c81dc39ff660f18ac2b44f","abstract_canon_sha256":"b3c1c1ebed76682628d036a97256969a909da85c50d8a1f4f96675298a550eb1"},"schema_version":"1.0"},"canonical_sha256":"b75fd18113c86957975127888b9c3dffde0abdee0b1c87206bf890d759a697f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:30:01.967001Z","signature_b64":"sQA1Pgqs8KKFx+ykBoF/ohp/JZaMlGrZqWtebWzhRQiviMTewHpiX8weO4qpBqTGS3euYLBARm31tTUyJrVYDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b75fd18113c86957975127888b9c3dffde0abdee0b1c87206bf890d759a697f9","last_reissued_at":"2026-05-18T02:30:01.966631Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:30:01.966631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.00709","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":"2026-05-18T02:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7VG9q/CPPWOQlzCdqQ15r8DX+/nVsmN2BqJ93OOLFDXmDFTK3vu6UcOOB+MxbRpETSE+WVEP1MkFkdGcpuTECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:18:23.100034Z"},"content_sha256":"c2f80c66b3e695d4a2d285c35b9e93166846de913916a0215f620838f9cd3967","schema_version":"1.0","event_id":"sha256:c2f80c66b3e695d4a2d285c35b9e93166846de913916a0215f620838f9cd3967"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:W5P5DAITZBUVPF2RE6EIXHB577","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On standard derived equivalences of orbit categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.RT","authors_text":"Alexandra Zvonareva, Yury Volkov","submitted_at":"2015-01-04T19:29:29Z","abstract_excerpt":"Let $\\kk$ be a commutative ring, $\\AAA$ and $\\BB$ -- two $\\kk$-linear categories with an action of a group $G$. We introduce the notion of a standard $G$-equivalence from $\\Kb\\BB$ to $\\Kb\\AAA$. We construct a map from the set of standard $G$-equivalences to the set of standard equivalences from $\\Kb\\BB$ to $\\Kb\\AAA$ and a map from the set of standard $G$-equivalences from $\\Kb\\BB$ to $\\Kb\\AAA$ to the set of standard equivalences from $\\Kb(\\BB/G)$ to $\\Kb(\\AAA/G)$. We investigate the properties of these maps and apply our results to the case where $\\AAA=\\BB=R$ is a Frobenius $\\kk$-algebra and $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00709","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":"2026-05-18T02:30:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pG7ePYlhlXr3GfNLBCC6AJlovuMPMycUptlgFroqf9MS6Xae9m8fpRT8n931oPKPqayJmxBPFmehZoTYLjB8Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:18:23.100754Z"},"content_sha256":"53e3f7ee3826f2f62ba0d1b9b8ed4ffdc3c62728df23a9e93e35cef32fb90f0e","schema_version":"1.0","event_id":"sha256:53e3f7ee3826f2f62ba0d1b9b8ed4ffdc3c62728df23a9e93e35cef32fb90f0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5P5DAITZBUVPF2RE6EIXHB577/bundle.json","state_url":"https://pith.science/pith/W5P5DAITZBUVPF2RE6EIXHB577/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5P5DAITZBUVPF2RE6EIXHB577/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":"2026-05-26T02:18:23Z","links":{"resolver":"https://pith.science/pith/W5P5DAITZBUVPF2RE6EIXHB577","bundle":"https://pith.science/pith/W5P5DAITZBUVPF2RE6EIXHB577/bundle.json","state":"https://pith.science/pith/W5P5DAITZBUVPF2RE6EIXHB577/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5P5DAITZBUVPF2RE6EIXHB577/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:W5P5DAITZBUVPF2RE6EIXHB577","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":"b3c1c1ebed76682628d036a97256969a909da85c50d8a1f4f96675298a550eb1","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-01-04T19:29:29Z","title_canon_sha256":"726f81bac416f86218601129c999a043193e1e2d18c81dc39ff660f18ac2b44f"},"schema_version":"1.0","source":{"id":"1501.00709","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.00709","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"arxiv_version","alias_value":"1501.00709v1","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.00709","created_at":"2026-05-18T02:30:01Z"},{"alias_kind":"pith_short_12","alias_value":"W5P5DAITZBUV","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"W5P5DAITZBUVPF2R","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"W5P5DAIT","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:53e3f7ee3826f2f62ba0d1b9b8ed4ffdc3c62728df23a9e93e35cef32fb90f0e","target":"graph","created_at":"2026-05-18T02:30:01Z","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":"Let $\\kk$ be a commutative ring, $\\AAA$ and $\\BB$ -- two $\\kk$-linear categories with an action of a group $G$. We introduce the notion of a standard $G$-equivalence from $\\Kb\\BB$ to $\\Kb\\AAA$. We construct a map from the set of standard $G$-equivalences to the set of standard equivalences from $\\Kb\\BB$ to $\\Kb\\AAA$ and a map from the set of standard $G$-equivalences from $\\Kb\\BB$ to $\\Kb\\AAA$ to the set of standard equivalences from $\\Kb(\\BB/G)$ to $\\Kb(\\AAA/G)$. We investigate the properties of these maps and apply our results to the case where $\\AAA=\\BB=R$ is a Frobenius $\\kk$-algebra and $","authors_text":"Alexandra Zvonareva, Yury Volkov","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-01-04T19:29:29Z","title":"On standard derived equivalences of orbit categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.00709","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:c2f80c66b3e695d4a2d285c35b9e93166846de913916a0215f620838f9cd3967","target":"record","created_at":"2026-05-18T02:30:01Z","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":"b3c1c1ebed76682628d036a97256969a909da85c50d8a1f4f96675298a550eb1","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-01-04T19:29:29Z","title_canon_sha256":"726f81bac416f86218601129c999a043193e1e2d18c81dc39ff660f18ac2b44f"},"schema_version":"1.0","source":{"id":"1501.00709","kind":"arxiv","version":1}},"canonical_sha256":"b75fd18113c86957975127888b9c3dffde0abdee0b1c87206bf890d759a697f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b75fd18113c86957975127888b9c3dffde0abdee0b1c87206bf890d759a697f9","first_computed_at":"2026-05-18T02:30:01.966631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:30:01.966631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sQA1Pgqs8KKFx+ykBoF/ohp/JZaMlGrZqWtebWzhRQiviMTewHpiX8weO4qpBqTGS3euYLBARm31tTUyJrVYDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:30:01.967001Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.00709","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c2f80c66b3e695d4a2d285c35b9e93166846de913916a0215f620838f9cd3967","sha256:53e3f7ee3826f2f62ba0d1b9b8ed4ffdc3c62728df23a9e93e35cef32fb90f0e"],"state_sha256":"6c4eb9f516c73d4f60a3ba1abef983795704f51850ca0cf61014fbe3305733e8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VtqwriPJedcgdW1E4aj7lrnZqFl3wnjjjztwzwpt0i20xnKfsv8fmyKxOAgJrKd0A0IT0kuudZ4cZlcdFummBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:18:23.104551Z","bundle_sha256":"e86a0757aa7d231672d749024c4104c271884667e4098e08b26e3e2aeb318a8d"}}