{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TSADXTNKGDB7KHF45Z6CHPXY4A","short_pith_number":"pith:TSADXTNK","canonical_record":{"source":{"id":"1306.0247","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-06-02T19:51:13Z","cross_cats_sorted":["math.AT","math.DG"],"title_canon_sha256":"8b2ac1e36acb49ca67b625e65fb8044a3de7af9bd19b475f406f862ff75e177d","abstract_canon_sha256":"3a00de6a385a9c6491dd89e323e2410db7fc97508fab2eeea26e6886ebf2d577"},"schema_version":"1.0"},"canonical_sha256":"9c803bcdaa30c3f51cbcee7c23bef8e01b2aa7400953f02754e336c9a14e876f","source":{"kind":"arxiv","id":"1306.0247","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0247","created_at":"2026-05-18T01:21:14Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0247v2","created_at":"2026-05-18T01:21:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0247","created_at":"2026-05-18T01:21:14Z"},{"alias_kind":"pith_short_12","alias_value":"TSADXTNKGDB7","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TSADXTNKGDB7KHF4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TSADXTNK","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TSADXTNKGDB7KHF45Z6CHPXY4A","target":"record","payload":{"canonical_record":{"source":{"id":"1306.0247","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-06-02T19:51:13Z","cross_cats_sorted":["math.AT","math.DG"],"title_canon_sha256":"8b2ac1e36acb49ca67b625e65fb8044a3de7af9bd19b475f406f862ff75e177d","abstract_canon_sha256":"3a00de6a385a9c6491dd89e323e2410db7fc97508fab2eeea26e6886ebf2d577"},"schema_version":"1.0"},"canonical_sha256":"9c803bcdaa30c3f51cbcee7c23bef8e01b2aa7400953f02754e336c9a14e876f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:14.093267Z","signature_b64":"/uC9hOXf1AMh6qBX//OXoNz/rFofGSPF2UBU/shRBzcVPLyKLppRuAwv1WIzYgLQ4aLIXCkCHfB7jRGDu0JSAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c803bcdaa30c3f51cbcee7c23bef8e01b2aa7400953f02754e336c9a14e876f","last_reissued_at":"2026-05-18T01:21:14.092592Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:14.092592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.0247","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":"2026-05-18T01:21:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q5kql71mzGfqK4hJBn3uC9KF799V3b4uFQH7fM1RyWV8+MAv5TVsF0/QG8RAg+NLCl2tZN6mg42OhznNr9FUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T10:47:33.307945Z"},"content_sha256":"d8c2247d9322dc7acab236f0fcad799f4880dc2e576ba7091a199b60ef6c1f53","schema_version":"1.0","event_id":"sha256:d8c2247d9322dc7acab236f0fcad799f4880dc2e576ba7091a199b60ef6c1f53"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TSADXTNKGDB7KHF45Z6CHPXY4A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG"],"primary_cat":"math.KT","authors_text":"David Gepner, Ulrich Bunke","submitted_at":"2013-06-02T19:51:13Z","abstract_excerpt":"We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects of differential cohomology, including differential function spectra and the differential Becker-Gottlieb transfer. We then state a transfer index conjecture about the equality of the Becker-Gottlieb transfer and the analytic transfer defined by Lott. In support of this conjecture, we derive some non-trivial consequences which are provable by indep"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0247","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":"2026-05-18T01:21:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7BWedo6H6+Qc2TZQQIipLCZZsyTJ7NnTuafWz4RAwiikqSjt/lhed1aRnHa/cWUX+Nggf783iUt7yP1+RvNiBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T10:47:33.308289Z"},"content_sha256":"5c79590de96663dc7c81dcecf190d5329917f92423f1ebbbe63fbb1d3cbe6504","schema_version":"1.0","event_id":"sha256:5c79590de96663dc7c81dcecf190d5329917f92423f1ebbbe63fbb1d3cbe6504"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TSADXTNKGDB7KHF45Z6CHPXY4A/bundle.json","state_url":"https://pith.science/pith/TSADXTNKGDB7KHF45Z6CHPXY4A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TSADXTNKGDB7KHF45Z6CHPXY4A/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":"2026-05-20T10:47:33Z","links":{"resolver":"https://pith.science/pith/TSADXTNKGDB7KHF45Z6CHPXY4A","bundle":"https://pith.science/pith/TSADXTNKGDB7KHF45Z6CHPXY4A/bundle.json","state":"https://pith.science/pith/TSADXTNKGDB7KHF45Z6CHPXY4A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TSADXTNKGDB7KHF45Z6CHPXY4A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TSADXTNKGDB7KHF45Z6CHPXY4A","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":"3a00de6a385a9c6491dd89e323e2410db7fc97508fab2eeea26e6886ebf2d577","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-06-02T19:51:13Z","title_canon_sha256":"8b2ac1e36acb49ca67b625e65fb8044a3de7af9bd19b475f406f862ff75e177d"},"schema_version":"1.0","source":{"id":"1306.0247","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.0247","created_at":"2026-05-18T01:21:14Z"},{"alias_kind":"arxiv_version","alias_value":"1306.0247v2","created_at":"2026-05-18T01:21:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0247","created_at":"2026-05-18T01:21:14Z"},{"alias_kind":"pith_short_12","alias_value":"TSADXTNKGDB7","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TSADXTNKGDB7KHF4","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TSADXTNK","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:5c79590de96663dc7c81dcecf190d5329917f92423f1ebbbe63fbb1d3cbe6504","target":"graph","created_at":"2026-05-18T01:21:14Z","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":"We develop differential algebraic K-theory for rings of integers in number fields and we construct a cycle map from geometrized bundles of modules over such a ring to the differential algebraic K-theory. We also treat some of the foundational aspects of differential cohomology, including differential function spectra and the differential Becker-Gottlieb transfer. We then state a transfer index conjecture about the equality of the Becker-Gottlieb transfer and the analytic transfer defined by Lott. In support of this conjecture, we derive some non-trivial consequences which are provable by indep","authors_text":"David Gepner, Ulrich Bunke","cross_cats":["math.AT","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-06-02T19:51:13Z","title":"Differential function spectra, the differential Becker-Gottlieb transfer, and applications to differential algebraic K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0247","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:d8c2247d9322dc7acab236f0fcad799f4880dc2e576ba7091a199b60ef6c1f53","target":"record","created_at":"2026-05-18T01:21:14Z","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":"3a00de6a385a9c6491dd89e323e2410db7fc97508fab2eeea26e6886ebf2d577","cross_cats_sorted":["math.AT","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-06-02T19:51:13Z","title_canon_sha256":"8b2ac1e36acb49ca67b625e65fb8044a3de7af9bd19b475f406f862ff75e177d"},"schema_version":"1.0","source":{"id":"1306.0247","kind":"arxiv","version":2}},"canonical_sha256":"9c803bcdaa30c3f51cbcee7c23bef8e01b2aa7400953f02754e336c9a14e876f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c803bcdaa30c3f51cbcee7c23bef8e01b2aa7400953f02754e336c9a14e876f","first_computed_at":"2026-05-18T01:21:14.092592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:14.092592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/uC9hOXf1AMh6qBX//OXoNz/rFofGSPF2UBU/shRBzcVPLyKLppRuAwv1WIzYgLQ4aLIXCkCHfB7jRGDu0JSAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:14.093267Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.0247","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d8c2247d9322dc7acab236f0fcad799f4880dc2e576ba7091a199b60ef6c1f53","sha256:5c79590de96663dc7c81dcecf190d5329917f92423f1ebbbe63fbb1d3cbe6504"],"state_sha256":"10103aed251c66266f0be3d519f9aa1f19f031ed92d19780d6fb7506ef3069a8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJ+atgFA5N4tsbEaPjrU8NKb0YMC0WD7sy4Hws6fUbSTrhqo1312XtPaWjCQXFcrgWUmYnXs2pWrJYyPHl2sCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T10:47:33.310295Z","bundle_sha256":"983e5232d7235f41bf6a57f4a8fe21cfcb6a324e0041e98d74c560fe2d349bc7"}}