{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FNVMCGZWVO6KW5CDAUWAUM3AEW","short_pith_number":"pith:FNVMCGZW","canonical_record":{"source":{"id":"1401.1029","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-01-06T10:13:30Z","cross_cats_sorted":["math.DG","math.KT"],"title_canon_sha256":"4cbafcb1fd1dbbe0773e7a8593814d18073ba784378b82840eaa075a020531c2","abstract_canon_sha256":"49b513d6a99dac111ea6d6afbb0eeabe62743ba0b7262a6f69519d9e9e70dd8f"},"schema_version":"1.0"},"canonical_sha256":"2b6ac11b36abbcab7443052c0a336025854fa7e8cea8a16f6d978fbfd1a34602","source":{"kind":"arxiv","id":"1401.1029","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1029","created_at":"2026-05-18T01:12:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1029v2","created_at":"2026-05-18T01:12:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1029","created_at":"2026-05-18T01:12:18Z"},{"alias_kind":"pith_short_12","alias_value":"FNVMCGZWVO6K","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FNVMCGZWVO6KW5CD","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FNVMCGZW","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FNVMCGZWVO6KW5CDAUWAUM3AEW","target":"record","payload":{"canonical_record":{"source":{"id":"1401.1029","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-01-06T10:13:30Z","cross_cats_sorted":["math.DG","math.KT"],"title_canon_sha256":"4cbafcb1fd1dbbe0773e7a8593814d18073ba784378b82840eaa075a020531c2","abstract_canon_sha256":"49b513d6a99dac111ea6d6afbb0eeabe62743ba0b7262a6f69519d9e9e70dd8f"},"schema_version":"1.0"},"canonical_sha256":"2b6ac11b36abbcab7443052c0a336025854fa7e8cea8a16f6d978fbfd1a34602","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:18.867887Z","signature_b64":"6O7tsAIoUH+oxhg4F3H3X9xOmuODaGALgv8otvLqy9EA8Atc/g40YwAZNLSlAVtlyeFzBxtkKD5r5lX5fjj2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b6ac11b36abbcab7443052c0a336025854fa7e8cea8a16f6d978fbfd1a34602","last_reissued_at":"2026-05-18T01:12:18.867555Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:18.867555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.1029","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":"2026-05-18T01:12:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"22Hd4tmtrQ/cG4EJ9TL7ElA7N2VNzp/56FdR8/CaksFvl1W6G5lGljnXTMbF8nk9Ndn5AVYmS52VFl0Z0WktCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:01:10.641355Z"},"content_sha256":"55372d6bf7000416380904fc4ea9a3a599e77e808b163c1e3137cbde28a5563b","schema_version":"1.0","event_id":"sha256:55372d6bf7000416380904fc4ea9a3a599e77e808b163c1e3137cbde28a5563b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FNVMCGZWVO6KW5CDAUWAUM3AEW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Relative (generalized) differential cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.KT"],"primary_cat":"math.AT","authors_text":"Fabio Ferrari Ruffino","submitted_at":"2014-01-06T10:13:30Z","abstract_excerpt":"Let h be a rationally even cohomology theory and h^ the natural differential refinement, as defined by Hopkins and Singer. We consider the possible definitions of the relative differential cohomology groups, generalizing the analogous picture for the Deligne cohomology, and we show the corresponding long exact sequence in each case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1029","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":"2026-05-18T01:12:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JoFgkFahduAK/h02hePqXMhZBaxKKdJmHzLimRBu7Bbnwb101Strlbp7kS7RE/kprUy26ykyOdMuWi2iJsIgAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:01:10.641712Z"},"content_sha256":"cda335221a360b3cd087c685bc5faf9fea95f4e3488d42d9ffd13a900bf697a8","schema_version":"1.0","event_id":"sha256:cda335221a360b3cd087c685bc5faf9fea95f4e3488d42d9ffd13a900bf697a8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FNVMCGZWVO6KW5CDAUWAUM3AEW/bundle.json","state_url":"https://pith.science/pith/FNVMCGZWVO6KW5CDAUWAUM3AEW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FNVMCGZWVO6KW5CDAUWAUM3AEW/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":"2026-06-03T05:01:10Z","links":{"resolver":"https://pith.science/pith/FNVMCGZWVO6KW5CDAUWAUM3AEW","bundle":"https://pith.science/pith/FNVMCGZWVO6KW5CDAUWAUM3AEW/bundle.json","state":"https://pith.science/pith/FNVMCGZWVO6KW5CDAUWAUM3AEW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FNVMCGZWVO6KW5CDAUWAUM3AEW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FNVMCGZWVO6KW5CDAUWAUM3AEW","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":"49b513d6a99dac111ea6d6afbb0eeabe62743ba0b7262a6f69519d9e9e70dd8f","cross_cats_sorted":["math.DG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-01-06T10:13:30Z","title_canon_sha256":"4cbafcb1fd1dbbe0773e7a8593814d18073ba784378b82840eaa075a020531c2"},"schema_version":"1.0","source":{"id":"1401.1029","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.1029","created_at":"2026-05-18T01:12:18Z"},{"alias_kind":"arxiv_version","alias_value":"1401.1029v2","created_at":"2026-05-18T01:12:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.1029","created_at":"2026-05-18T01:12:18Z"},{"alias_kind":"pith_short_12","alias_value":"FNVMCGZWVO6K","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FNVMCGZWVO6KW5CD","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FNVMCGZW","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:cda335221a360b3cd087c685bc5faf9fea95f4e3488d42d9ffd13a900bf697a8","target":"graph","created_at":"2026-05-18T01:12:18Z","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":"Let h be a rationally even cohomology theory and h^ the natural differential refinement, as defined by Hopkins and Singer. We consider the possible definitions of the relative differential cohomology groups, generalizing the analogous picture for the Deligne cohomology, and we show the corresponding long exact sequence in each case.","authors_text":"Fabio Ferrari Ruffino","cross_cats":["math.DG","math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-01-06T10:13:30Z","title":"Relative (generalized) differential cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.1029","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":"sha256:55372d6bf7000416380904fc4ea9a3a599e77e808b163c1e3137cbde28a5563b","target":"record","created_at":"2026-05-18T01:12:18Z","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":"49b513d6a99dac111ea6d6afbb0eeabe62743ba0b7262a6f69519d9e9e70dd8f","cross_cats_sorted":["math.DG","math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-01-06T10:13:30Z","title_canon_sha256":"4cbafcb1fd1dbbe0773e7a8593814d18073ba784378b82840eaa075a020531c2"},"schema_version":"1.0","source":{"id":"1401.1029","kind":"arxiv","version":2}},"canonical_sha256":"2b6ac11b36abbcab7443052c0a336025854fa7e8cea8a16f6d978fbfd1a34602","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b6ac11b36abbcab7443052c0a336025854fa7e8cea8a16f6d978fbfd1a34602","first_computed_at":"2026-05-18T01:12:18.867555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:18.867555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6O7tsAIoUH+oxhg4F3H3X9xOmuODaGALgv8otvLqy9EA8Atc/g40YwAZNLSlAVtlyeFzBxtkKD5r5lX5fjj2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:18.867887Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.1029","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55372d6bf7000416380904fc4ea9a3a599e77e808b163c1e3137cbde28a5563b","sha256:cda335221a360b3cd087c685bc5faf9fea95f4e3488d42d9ffd13a900bf697a8"],"state_sha256":"a0d02d6426409b1bd0ac5e3dd7095461dc24a3de296184a369a253978177d358"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0lZVJryrKrz2I5FptsKceqDZSOtJ3SC9VkwLZb6TA2FUVeNuFE2fOweCjs6tyCEsfURppiWSQrFkjdL2M5ACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:01:10.643601Z","bundle_sha256":"4d9d42ff8e3ed39e683dc26407b34dbbf7f8ec59c7167dc403a838bf76429c88"}}