{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:U76ZFY3GPTRNM6CRMF356KV5Z2","short_pith_number":"pith:U76ZFY3G","canonical_record":{"source":{"id":"1305.5489","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-23T17:23:47Z","cross_cats_sorted":[],"title_canon_sha256":"29afd4c3f031f5fa94588be8df39aa4cfb1aa1ead4af83371e8b8cc28d9024c7","abstract_canon_sha256":"8c274178b92aeb139175196a84000efeb4ef46b58f641e5134fba966b835ccde"},"schema_version":"1.0"},"canonical_sha256":"a7fd92e3667ce2d678516177df2abdce92bd455f58dceb0e530bc51e4fbf975c","source":{"kind":"arxiv","id":"1305.5489","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5489","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5489v2","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5489","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"pith_short_12","alias_value":"U76ZFY3GPTRN","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U76ZFY3GPTRNM6CR","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U76ZFY3G","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:U76ZFY3GPTRNM6CRMF356KV5Z2","target":"record","payload":{"canonical_record":{"source":{"id":"1305.5489","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-23T17:23:47Z","cross_cats_sorted":[],"title_canon_sha256":"29afd4c3f031f5fa94588be8df39aa4cfb1aa1ead4af83371e8b8cc28d9024c7","abstract_canon_sha256":"8c274178b92aeb139175196a84000efeb4ef46b58f641e5134fba966b835ccde"},"schema_version":"1.0"},"canonical_sha256":"a7fd92e3667ce2d678516177df2abdce92bd455f58dceb0e530bc51e4fbf975c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:14.996928Z","signature_b64":"+WL3f7yuV6jU+asQJh76+pDFuHzGoDUwTBI4E0f7wjvdsp8Z5r8OMDNIYRFzweGAv/zi10PLQkJtKwshzx/0BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7fd92e3667ce2d678516177df2abdce92bd455f58dceb0e530bc51e4fbf975c","last_reissued_at":"2026-05-18T01:24:14.996413Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:14.996413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.5489","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yWCMCGj89WlGYCO8zJKMHbgkM4GsvMcMREABsMm7vK03SDplA5/5Vrn2Cy5rpa4Nx8dFPhbVlV4yhxV6REeNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:41:51.807848Z"},"content_sha256":"c3aacdcdac09f1efc477180988ab61378efb64df9f4ebdb144089ada8b61495f","schema_version":"1.0","event_id":"sha256:c3aacdcdac09f1efc477180988ab61378efb64df9f4ebdb144089ada8b61495f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:U76ZFY3GPTRNM6CRMF356KV5Z2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exotic coactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"John Quigg, Magnus B. Landstad, S. Kaliszewski","submitted_at":"2013-05-23T17:23:47Z","abstract_excerpt":"If a locally compact group G acts on a C*-algebra B, we have both full and reduced crossed products, and each has a coaction of G. We investigate \"exotic\" coactions in between, that are determined by certain ideals E of the Fourier-Stieltjes algebra B(G) -- an approach that is inspired by recent work of Brown and Guentner on new C*-group algebra completions. We actually carry out the bulk of our investigation in the general context of coactions on a C*-algebra A. Buss and Echterhoff have shown that not every coaction comes from one of these ideals, but nevertheless the ideals do generate a wid"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5489","kind":"arxiv","version":2},"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":"2026-05-18T01:24:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OBfkx+DjU2TjS2FwwpLrpL66kYlyZd3XnrF1ghiGi7rEbK/4FxFao/3KE+FV+4yErXm5Q6HNbgLeDi3yHNdlCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T00:41:51.808194Z"},"content_sha256":"6bcddf949ca1a4a1e58348a6a134ab30949b738b2df2409d950003ba11d186c0","schema_version":"1.0","event_id":"sha256:6bcddf949ca1a4a1e58348a6a134ab30949b738b2df2409d950003ba11d186c0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U76ZFY3GPTRNM6CRMF356KV5Z2/bundle.json","state_url":"https://pith.science/pith/U76ZFY3GPTRNM6CRMF356KV5Z2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U76ZFY3GPTRNM6CRMF356KV5Z2/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":"2026-06-02T00:41:51Z","links":{"resolver":"https://pith.science/pith/U76ZFY3GPTRNM6CRMF356KV5Z2","bundle":"https://pith.science/pith/U76ZFY3GPTRNM6CRMF356KV5Z2/bundle.json","state":"https://pith.science/pith/U76ZFY3GPTRNM6CRMF356KV5Z2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U76ZFY3GPTRNM6CRMF356KV5Z2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:U76ZFY3GPTRNM6CRMF356KV5Z2","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":"8c274178b92aeb139175196a84000efeb4ef46b58f641e5134fba966b835ccde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-23T17:23:47Z","title_canon_sha256":"29afd4c3f031f5fa94588be8df39aa4cfb1aa1ead4af83371e8b8cc28d9024c7"},"schema_version":"1.0","source":{"id":"1305.5489","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.5489","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"arxiv_version","alias_value":"1305.5489v2","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.5489","created_at":"2026-05-18T01:24:14Z"},{"alias_kind":"pith_short_12","alias_value":"U76ZFY3GPTRN","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"U76ZFY3GPTRNM6CR","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"U76ZFY3G","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:6bcddf949ca1a4a1e58348a6a134ab30949b738b2df2409d950003ba11d186c0","target":"graph","created_at":"2026-05-18T01:24:14Z","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":"If a locally compact group G acts on a C*-algebra B, we have both full and reduced crossed products, and each has a coaction of G. We investigate \"exotic\" coactions in between, that are determined by certain ideals E of the Fourier-Stieltjes algebra B(G) -- an approach that is inspired by recent work of Brown and Guentner on new C*-group algebra completions. We actually carry out the bulk of our investigation in the general context of coactions on a C*-algebra A. Buss and Echterhoff have shown that not every coaction comes from one of these ideals, but nevertheless the ideals do generate a wid","authors_text":"John Quigg, Magnus B. Landstad, S. Kaliszewski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-23T17:23:47Z","title":"Exotic coactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.5489","kind":"arxiv","version":2},"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:c3aacdcdac09f1efc477180988ab61378efb64df9f4ebdb144089ada8b61495f","target":"record","created_at":"2026-05-18T01:24:14Z","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":"8c274178b92aeb139175196a84000efeb4ef46b58f641e5134fba966b835ccde","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2013-05-23T17:23:47Z","title_canon_sha256":"29afd4c3f031f5fa94588be8df39aa4cfb1aa1ead4af83371e8b8cc28d9024c7"},"schema_version":"1.0","source":{"id":"1305.5489","kind":"arxiv","version":2}},"canonical_sha256":"a7fd92e3667ce2d678516177df2abdce92bd455f58dceb0e530bc51e4fbf975c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7fd92e3667ce2d678516177df2abdce92bd455f58dceb0e530bc51e4fbf975c","first_computed_at":"2026-05-18T01:24:14.996413Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:14.996413Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+WL3f7yuV6jU+asQJh76+pDFuHzGoDUwTBI4E0f7wjvdsp8Z5r8OMDNIYRFzweGAv/zi10PLQkJtKwshzx/0BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:14.996928Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.5489","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3aacdcdac09f1efc477180988ab61378efb64df9f4ebdb144089ada8b61495f","sha256:6bcddf949ca1a4a1e58348a6a134ab30949b738b2df2409d950003ba11d186c0"],"state_sha256":"fc6af06d0b48dfd3b2f0bfb1495126a46c64ca10f6c0c5ac623624b3a487e093"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w1YVzcbI2Zb842HRTOg6gn8zZH+EQRREVG5kcqlnikZVaBsyl+lYKJY5z9F1imX7zk32i2hO4r8ngtaCrLRfDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T00:41:51.810161Z","bundle_sha256":"d84350686b6753348ad72264195555615e9915cbb186fe17fff53463d468b6cd"}}