{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:I4UBUI2VT5HPZIPYEELYQBBZZY","short_pith_number":"pith:I4UBUI2V","canonical_record":{"source":{"id":"math/0502280","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-02-14T04:35:22Z","cross_cats_sorted":["math.DG","math.KT","math.QA"],"title_canon_sha256":"8303147d061460d6572a29b050a9257dd698f278a0b88cd3800e20db1507c201","abstract_canon_sha256":"168a8f25f592d75c0faed9688672793ce61e7b2a6d6f46e1594b0eac69461da2"},"schema_version":"1.0"},"canonical_sha256":"47281a23559f4efca1f82117880439ce0c31f284a7d89d52d1ad35e3d0feb102","source":{"kind":"arxiv","id":"math/0502280","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0502280","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0502280v3","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0502280","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_12","alias_value":"I4UBUI2VT5HP","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_16","alias_value":"I4UBUI2VT5HPZIPY","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_8","alias_value":"I4UBUI2V","created_at":"2026-07-04T16:56:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:I4UBUI2VT5HPZIPYEELYQBBZZY","target":"record","payload":{"canonical_record":{"source":{"id":"math/0502280","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-02-14T04:35:22Z","cross_cats_sorted":["math.DG","math.KT","math.QA"],"title_canon_sha256":"8303147d061460d6572a29b050a9257dd698f278a0b88cd3800e20db1507c201","abstract_canon_sha256":"168a8f25f592d75c0faed9688672793ce61e7b2a6d6f46e1594b0eac69461da2"},"schema_version":"1.0"},"canonical_sha256":"47281a23559f4efca1f82117880439ce0c31f284a7d89d52d1ad35e3d0feb102","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:56:27.272572Z","signature_b64":"NVk2XJJfbg1OYSBCw5VGZEuX1eBJYvhxnMWCxtmlVmarL8T2fhgng7yZAHUO4KTom4Gaiqc/IqWmjRNi7z99Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"47281a23559f4efca1f82117880439ce0c31f284a7d89d52d1ad35e3d0feb102","last_reissued_at":"2026-07-04T16:56:27.272070Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:56:27.272070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0502280","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:56:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uR+snXsxoiBF4vnDhtpk1noV+jcEGaEhlyc16/eif1oSu8zdw9FLW8KFJmzQNGuUt12YwUT/YNVFE2P2MZKqBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:21:39.496064Z"},"content_sha256":"2dd5b34f3b9e57ecfa08896335c75b2e1d75ee2327f9c2f5bf440686c8f065ec","schema_version":"1.0","event_id":"sha256:2dd5b34f3b9e57ecfa08896335c75b2e1d75ee2327f9c2f5bf440686c8f065ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:I4UBUI2VT5HPZIPYEELYQBBZZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stringy K-theory and the Chern character","license":"","headline":"","cross_cats":["math.DG","math.KT","math.QA"],"primary_cat":"math.AG","authors_text":"Ralph Kaufmann, Takashi Kimura, Tyler J. Jarvis","submitted_at":"2005-02-14T04:35:22Z","abstract_excerpt":"For a finite group G acting on a smooth projective variety X, we construct two new G-equivariant rings: first the stringy K-theory of X, and second the stringy cohomology of X. For a smooth Deligne-Mumford stack Y we also construct a new ring called the full orbifold K-theory of Y. For a global quotient Y=[X/G], the ring of G-invariants of the stringy K-theory of X is a subalgebra of the full orbifold K-theory of the the stack Y and is linearly isomorphic to the ``orbifold K-theory'' of Adem-Ruan (and hence Atiyah-Segal), but carries a different, ``quantum,'' product, which respects the natura"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0502280","kind":"arxiv","version":3},"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/math/0502280/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":"2026-07-04T16:56:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cad6EJzXGObmKgNn//Qo6Oyj1fSbkEDu+XU9Z8ArLMMVL2ORsK5cJESWFjPdZBSYEah/AfFZg+qiXBh1t6NIAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:21:39.497142Z"},"content_sha256":"8ebcd7c5f75a4877ad04b578ad51695476ab8ad48dfedf9e99ada39bfe80d033","schema_version":"1.0","event_id":"sha256:8ebcd7c5f75a4877ad04b578ad51695476ab8ad48dfedf9e99ada39bfe80d033"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I4UBUI2VT5HPZIPYEELYQBBZZY/bundle.json","state_url":"https://pith.science/pith/I4UBUI2VT5HPZIPYEELYQBBZZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I4UBUI2VT5HPZIPYEELYQBBZZY/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":"2026-08-08T15:21:39Z","links":{"resolver":"https://pith.science/pith/I4UBUI2VT5HPZIPYEELYQBBZZY","bundle":"https://pith.science/pith/I4UBUI2VT5HPZIPYEELYQBBZZY/bundle.json","state":"https://pith.science/pith/I4UBUI2VT5HPZIPYEELYQBBZZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I4UBUI2VT5HPZIPYEELYQBBZZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:I4UBUI2VT5HPZIPYEELYQBBZZY","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":"168a8f25f592d75c0faed9688672793ce61e7b2a6d6f46e1594b0eac69461da2","cross_cats_sorted":["math.DG","math.KT","math.QA"],"license":"","primary_cat":"math.AG","submitted_at":"2005-02-14T04:35:22Z","title_canon_sha256":"8303147d061460d6572a29b050a9257dd698f278a0b88cd3800e20db1507c201"},"schema_version":"1.0","source":{"id":"math/0502280","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0502280","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"arxiv_version","alias_value":"math/0502280v3","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0502280","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_12","alias_value":"I4UBUI2VT5HP","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_16","alias_value":"I4UBUI2VT5HPZIPY","created_at":"2026-07-04T16:56:27Z"},{"alias_kind":"pith_short_8","alias_value":"I4UBUI2V","created_at":"2026-07-04T16:56:27Z"}],"graph_snapshots":[{"event_id":"sha256:8ebcd7c5f75a4877ad04b578ad51695476ab8ad48dfedf9e99ada39bfe80d033","target":"graph","created_at":"2026-07-04T16:56:27Z","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/math/0502280/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a finite group G acting on a smooth projective variety X, we construct two new G-equivariant rings: first the stringy K-theory of X, and second the stringy cohomology of X. For a smooth Deligne-Mumford stack Y we also construct a new ring called the full orbifold K-theory of Y. For a global quotient Y=[X/G], the ring of G-invariants of the stringy K-theory of X is a subalgebra of the full orbifold K-theory of the the stack Y and is linearly isomorphic to the ``orbifold K-theory'' of Adem-Ruan (and hence Atiyah-Segal), but carries a different, ``quantum,'' product, which respects the natura","authors_text":"Ralph Kaufmann, Takashi Kimura, Tyler J. Jarvis","cross_cats":["math.DG","math.KT","math.QA"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2005-02-14T04:35:22Z","title":"Stringy K-theory and the Chern character"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0502280","kind":"arxiv","version":3},"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":"sha256:2dd5b34f3b9e57ecfa08896335c75b2e1d75ee2327f9c2f5bf440686c8f065ec","target":"record","created_at":"2026-07-04T16:56:27Z","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":"168a8f25f592d75c0faed9688672793ce61e7b2a6d6f46e1594b0eac69461da2","cross_cats_sorted":["math.DG","math.KT","math.QA"],"license":"","primary_cat":"math.AG","submitted_at":"2005-02-14T04:35:22Z","title_canon_sha256":"8303147d061460d6572a29b050a9257dd698f278a0b88cd3800e20db1507c201"},"schema_version":"1.0","source":{"id":"math/0502280","kind":"arxiv","version":3}},"canonical_sha256":"47281a23559f4efca1f82117880439ce0c31f284a7d89d52d1ad35e3d0feb102","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"47281a23559f4efca1f82117880439ce0c31f284a7d89d52d1ad35e3d0feb102","first_computed_at":"2026-07-04T16:56:27.272070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:56:27.272070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NVk2XJJfbg1OYSBCw5VGZEuX1eBJYvhxnMWCxtmlVmarL8T2fhgng7yZAHUO4KTom4Gaiqc/IqWmjRNi7z99Dw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:56:27.272572Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0502280","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dd5b34f3b9e57ecfa08896335c75b2e1d75ee2327f9c2f5bf440686c8f065ec","sha256:8ebcd7c5f75a4877ad04b578ad51695476ab8ad48dfedf9e99ada39bfe80d033"],"state_sha256":"8af5839df8b312bcb6b103dd5654268a7479a6b32554c6d11c31108f5c11b32d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P7rjixkmqIb2PpeUpmmOTgArh8OeccYb5ClEK//JSGIJ8ma4DoV0i9fLAeV87ZEK2yxBOGAQUKNw5eaSseXyBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T15:21:39.506240Z","bundle_sha256":"d99178b0cc0b717eeddb5bf4e056a7a7307ec8f26567e3a8f8f2016dd9bc4bec"}}