{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LA6APBE7PMJSU2R2JS4LAMASVE","short_pith_number":"pith:LA6APBE7","canonical_record":{"source":{"id":"1209.6451","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-09-28T08:35:21Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"3f7487e9e09b68af3578461b8c09e12920f98468255916d13366434dc3bf5a86","abstract_canon_sha256":"937fada1741bdf84be77a32765cfa6e0f00d710eff5b738acdd112e7967c7f38"},"schema_version":"1.0"},"canonical_sha256":"583c07849f7b132a6a3a4cb8b03012a92fd02f02e602168ed434ba6b9747c3b1","source":{"kind":"arxiv","id":"1209.6451","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.6451","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"arxiv_version","alias_value":"1209.6451v5","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.6451","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"pith_short_12","alias_value":"LA6APBE7PMJS","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LA6APBE7PMJSU2R2","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LA6APBE7","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LA6APBE7PMJSU2R2JS4LAMASVE","target":"record","payload":{"canonical_record":{"source":{"id":"1209.6451","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-09-28T08:35:21Z","cross_cats_sorted":["math.AG","math.KT"],"title_canon_sha256":"3f7487e9e09b68af3578461b8c09e12920f98468255916d13366434dc3bf5a86","abstract_canon_sha256":"937fada1741bdf84be77a32765cfa6e0f00d710eff5b738acdd112e7967c7f38"},"schema_version":"1.0"},"canonical_sha256":"583c07849f7b132a6a3a4cb8b03012a92fd02f02e602168ed434ba6b9747c3b1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:08.664612Z","signature_b64":"dSuMqEtOBS710dp3X+0wtyVODrDhWXuHGnKr46L/yUqg0X8fB1dO2ghWoQN0Gl7tx8E9RUR8gmln3CDYMt36AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"583c07849f7b132a6a3a4cb8b03012a92fd02f02e602168ed434ba6b9747c3b1","last_reissued_at":"2026-05-18T01:32:08.663904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:08.663904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.6451","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZMX+CHWXF2GgpRmOynZeO4glMxGqOBR98oy8mR8TlPxrC+EZ9NwFEC4krbi+cYIf7dDYPdMtnjxhyOo7JLpDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T00:38:37.543380Z"},"content_sha256":"8c2499bf3d1152c8020dc7e8ccaa3565967eca8ff5eccdade82f4569ed300a99","schema_version":"1.0","event_id":"sha256:8c2499bf3d1152c8020dc7e8ccaa3565967eca8ff5eccdade82f4569ed300a99"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LA6APBE7PMJSU2R2JS4LAMASVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regulators and cycle maps in higher-dimensional differential algebraic K-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.KT"],"primary_cat":"math.NT","authors_text":"Georg Tamme, Ulrich Bunke","submitted_at":"2012-09-28T08:35:21Z","abstract_excerpt":"We develop differential algebraic K-theory of regular arithmetic schemes. Our approach is based on a new construction of a functorial, spectrum level Beilinson regulator using differential forms. We construct a cycle map which represents differential algebraic K-theory classes by geometric vector bundles. As an application we derive Lott's relation between short exact sequences of geometric bundles with a higher analytic torsion form."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.6451","kind":"arxiv","version":5},"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":"2026-05-18T01:32:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Yr/mXCgUSi0g/ewHlWaZRZGbxJCrEGqZtnXrmQ85SmugFFeF1cL1DTlWRzQzfyW9298ePMVUT4fRKXR8MPx1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T00:38:37.543725Z"},"content_sha256":"a5c05cc85081e089bcb74216e5d909908ba28258b8f40baaf5b55c0d01fc3a2d","schema_version":"1.0","event_id":"sha256:a5c05cc85081e089bcb74216e5d909908ba28258b8f40baaf5b55c0d01fc3a2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LA6APBE7PMJSU2R2JS4LAMASVE/bundle.json","state_url":"https://pith.science/pith/LA6APBE7PMJSU2R2JS4LAMASVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LA6APBE7PMJSU2R2JS4LAMASVE/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":"2026-06-21T00:38:37Z","links":{"resolver":"https://pith.science/pith/LA6APBE7PMJSU2R2JS4LAMASVE","bundle":"https://pith.science/pith/LA6APBE7PMJSU2R2JS4LAMASVE/bundle.json","state":"https://pith.science/pith/LA6APBE7PMJSU2R2JS4LAMASVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LA6APBE7PMJSU2R2JS4LAMASVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LA6APBE7PMJSU2R2JS4LAMASVE","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":"937fada1741bdf84be77a32765cfa6e0f00d710eff5b738acdd112e7967c7f38","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-09-28T08:35:21Z","title_canon_sha256":"3f7487e9e09b68af3578461b8c09e12920f98468255916d13366434dc3bf5a86"},"schema_version":"1.0","source":{"id":"1209.6451","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.6451","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"arxiv_version","alias_value":"1209.6451v5","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.6451","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"pith_short_12","alias_value":"LA6APBE7PMJS","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LA6APBE7PMJSU2R2","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LA6APBE7","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:a5c05cc85081e089bcb74216e5d909908ba28258b8f40baaf5b55c0d01fc3a2d","target":"graph","created_at":"2026-05-18T01:32:08Z","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 of regular arithmetic schemes. Our approach is based on a new construction of a functorial, spectrum level Beilinson regulator using differential forms. We construct a cycle map which represents differential algebraic K-theory classes by geometric vector bundles. As an application we derive Lott's relation between short exact sequences of geometric bundles with a higher analytic torsion form.","authors_text":"Georg Tamme, Ulrich Bunke","cross_cats":["math.AG","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-09-28T08:35:21Z","title":"Regulators and cycle maps in higher-dimensional differential algebraic K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.6451","kind":"arxiv","version":5},"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":"sha256:8c2499bf3d1152c8020dc7e8ccaa3565967eca8ff5eccdade82f4569ed300a99","target":"record","created_at":"2026-05-18T01:32:08Z","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":"937fada1741bdf84be77a32765cfa6e0f00d710eff5b738acdd112e7967c7f38","cross_cats_sorted":["math.AG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-09-28T08:35:21Z","title_canon_sha256":"3f7487e9e09b68af3578461b8c09e12920f98468255916d13366434dc3bf5a86"},"schema_version":"1.0","source":{"id":"1209.6451","kind":"arxiv","version":5}},"canonical_sha256":"583c07849f7b132a6a3a4cb8b03012a92fd02f02e602168ed434ba6b9747c3b1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"583c07849f7b132a6a3a4cb8b03012a92fd02f02e602168ed434ba6b9747c3b1","first_computed_at":"2026-05-18T01:32:08.663904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:08.663904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dSuMqEtOBS710dp3X+0wtyVODrDhWXuHGnKr46L/yUqg0X8fB1dO2ghWoQN0Gl7tx8E9RUR8gmln3CDYMt36AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:08.664612Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.6451","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c2499bf3d1152c8020dc7e8ccaa3565967eca8ff5eccdade82f4569ed300a99","sha256:a5c05cc85081e089bcb74216e5d909908ba28258b8f40baaf5b55c0d01fc3a2d"],"state_sha256":"6596ae1db7c36631950bd20d3a115e582621ef2eb7adbfe64a2439905d6a89c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zZEjDMHpj+qR2U62iWW/ofKREMoNkQCz3ll1wC9yY3+IYejKoLA49Lin9cxKCsnen0XxbnderGC/u1oABFgxCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T00:38:37.545683Z","bundle_sha256":"ab852f7f6765b168d1bdc597115f0f8c61a516e65b67fdb5463216660220967f"}}