{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:UBD4A4ITE7HO4X574TLKXPWY2R","short_pith_number":"pith:UBD4A4IT","canonical_record":{"source":{"id":"1711.04201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-11T21:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"1a70be61d41cb8fd6a1f9e07fa13608335b623deda5b75a4731bf78758c040df","abstract_canon_sha256":"236a1e63d5d291d600cce28b3109d0d42a0959bacafbb422e8774d8fa94d1c65"},"schema_version":"1.0"},"canonical_sha256":"a047c0711327ceee5fbfe4d6abbed8d460b3bf7b80cf40613e66a1af8d112107","source":{"kind":"arxiv","id":"1711.04201","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04201","created_at":"2026-05-18T00:30:39Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04201v1","created_at":"2026-05-18T00:30:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04201","created_at":"2026-05-18T00:30:39Z"},{"alias_kind":"pith_short_12","alias_value":"UBD4A4ITE7HO","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UBD4A4ITE7HO4X57","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UBD4A4IT","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:UBD4A4ITE7HO4X574TLKXPWY2R","target":"record","payload":{"canonical_record":{"source":{"id":"1711.04201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-11T21:47:25Z","cross_cats_sorted":[],"title_canon_sha256":"1a70be61d41cb8fd6a1f9e07fa13608335b623deda5b75a4731bf78758c040df","abstract_canon_sha256":"236a1e63d5d291d600cce28b3109d0d42a0959bacafbb422e8774d8fa94d1c65"},"schema_version":"1.0"},"canonical_sha256":"a047c0711327ceee5fbfe4d6abbed8d460b3bf7b80cf40613e66a1af8d112107","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:39.775890Z","signature_b64":"sS2IFPlZiseQNymA33QKBIdtrTd8FsRsjVsSx/a/VWw6yQTAshOQn2bioExyhZF6qxLuegVSqHnBAsbu9sZTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a047c0711327ceee5fbfe4d6abbed8d460b3bf7b80cf40613e66a1af8d112107","last_reissued_at":"2026-05-18T00:30:39.774860Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:39.774860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.04201","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":"2026-05-18T00:30:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fuymPHfc+SzQEukwLk1NXpQGjGEGFGKrhw6kgFGwP+c2YPCy2OvDbIsPrLUK1+/DKF4U3+mYQoYFy4ABviEaDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:38:13.359526Z"},"content_sha256":"357f2c5d8843fe0b2712302e31346db3bc089fba464cd20db58789ba9e8c5fc1","schema_version":"1.0","event_id":"sha256:357f2c5d8843fe0b2712302e31346db3bc089fba464cd20db58789ba9e8c5fc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:UBD4A4ITE7HO4X574TLKXPWY2R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander Givental","submitted_at":"2017-11-11T21:47:25Z","abstract_excerpt":"We introduce twisted permutation-equivariant GW-invariants, and compute them in terms of untwisted ones. The computation is based on Grothendieck-like RR formula corresponding to Adams' operations from K-theory to itself, and the result can be understood as a \"quantum\" version of such Adams-RR. As in the case of cohomological quantum RR theorem [3], the result is applied to express the invariants of bundle and super-bundle spaces in terms of those of the base. The bonus feature of permutation-equivariant K-theory is that the twisting classes can be understood as the simpler kappa-classes of Ka"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04201","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":"2026-05-18T00:30:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xGZeD0rtGsXyWV5k1hUO0xWNteN/RzpZ2yzf1CS4Nc+0s7+Wl6wJJuxtkPD7EvwKPjx44ZSpaLB5SUNd5tJ4Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T17:38:13.359870Z"},"content_sha256":"0430ceb8910305d58b32b80db7fdfb2b0b06ac8d58125e6cd4bab5bdb13c0722","schema_version":"1.0","event_id":"sha256:0430ceb8910305d58b32b80db7fdfb2b0b06ac8d58125e6cd4bab5bdb13c0722"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UBD4A4ITE7HO4X574TLKXPWY2R/bundle.json","state_url":"https://pith.science/pith/UBD4A4ITE7HO4X574TLKXPWY2R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UBD4A4ITE7HO4X574TLKXPWY2R/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":"2026-06-05T17:38:13Z","links":{"resolver":"https://pith.science/pith/UBD4A4ITE7HO4X574TLKXPWY2R","bundle":"https://pith.science/pith/UBD4A4ITE7HO4X574TLKXPWY2R/bundle.json","state":"https://pith.science/pith/UBD4A4ITE7HO4X574TLKXPWY2R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UBD4A4ITE7HO4X574TLKXPWY2R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:UBD4A4ITE7HO4X574TLKXPWY2R","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":"236a1e63d5d291d600cce28b3109d0d42a0959bacafbb422e8774d8fa94d1c65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-11T21:47:25Z","title_canon_sha256":"1a70be61d41cb8fd6a1f9e07fa13608335b623deda5b75a4731bf78758c040df"},"schema_version":"1.0","source":{"id":"1711.04201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.04201","created_at":"2026-05-18T00:30:39Z"},{"alias_kind":"arxiv_version","alias_value":"1711.04201v1","created_at":"2026-05-18T00:30:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.04201","created_at":"2026-05-18T00:30:39Z"},{"alias_kind":"pith_short_12","alias_value":"UBD4A4ITE7HO","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"UBD4A4ITE7HO4X57","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"UBD4A4IT","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:0430ceb8910305d58b32b80db7fdfb2b0b06ac8d58125e6cd4bab5bdb13c0722","target":"graph","created_at":"2026-05-18T00:30:39Z","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":"We introduce twisted permutation-equivariant GW-invariants, and compute them in terms of untwisted ones. The computation is based on Grothendieck-like RR formula corresponding to Adams' operations from K-theory to itself, and the result can be understood as a \"quantum\" version of such Adams-RR. As in the case of cohomological quantum RR theorem [3], the result is applied to express the invariants of bundle and super-bundle spaces in terms of those of the base. The bonus feature of permutation-equivariant K-theory is that the twisting classes can be understood as the simpler kappa-classes of Ka","authors_text":"Alexander Givental","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-11T21:47:25Z","title":"Permutation-equivariant quantum K-theory XI. Quantum Adams-Riemann-Roch"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.04201","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":"sha256:357f2c5d8843fe0b2712302e31346db3bc089fba464cd20db58789ba9e8c5fc1","target":"record","created_at":"2026-05-18T00:30:39Z","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":"236a1e63d5d291d600cce28b3109d0d42a0959bacafbb422e8774d8fa94d1c65","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-11-11T21:47:25Z","title_canon_sha256":"1a70be61d41cb8fd6a1f9e07fa13608335b623deda5b75a4731bf78758c040df"},"schema_version":"1.0","source":{"id":"1711.04201","kind":"arxiv","version":1}},"canonical_sha256":"a047c0711327ceee5fbfe4d6abbed8d460b3bf7b80cf40613e66a1af8d112107","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a047c0711327ceee5fbfe4d6abbed8d460b3bf7b80cf40613e66a1af8d112107","first_computed_at":"2026-05-18T00:30:39.774860Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:39.774860Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sS2IFPlZiseQNymA33QKBIdtrTd8FsRsjVsSx/a/VWw6yQTAshOQn2bioExyhZF6qxLuegVSqHnBAsbu9sZTAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:39.775890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.04201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:357f2c5d8843fe0b2712302e31346db3bc089fba464cd20db58789ba9e8c5fc1","sha256:0430ceb8910305d58b32b80db7fdfb2b0b06ac8d58125e6cd4bab5bdb13c0722"],"state_sha256":"2b6ab6663e9178d61690ac6dc1efc74f0969868d4e113816a76f119697d664d7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UWk5+wz1nzucqREt2LZrx21SvYbeCHhJfUUqtLQGnYMMmnAlREKG6oIaU0//gN7IbAOBpFcEqcfNeSGqOzlOCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T17:38:13.361850Z","bundle_sha256":"a374d9cd47b740d78ce76be89002598b1fc55b4edaa2b58379e668dd2cc77872"}}