{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:7R5JQ3ZD2XB6LBDE6YAVXIUP7T","short_pith_number":"pith:7R5JQ3ZD","canonical_record":{"source":{"id":"1006.1536","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T11:46:38Z","cross_cats_sorted":[],"title_canon_sha256":"f232fa3b8649ae94f00ba8c7151513e78df4ed5c9ae623d770b731063d796717","abstract_canon_sha256":"fca725c7618df2d2496015e320b26e991bc84fb286650187591f983fce788be3"},"schema_version":"1.0"},"canonical_sha256":"fc7a986f23d5c3e58464f6015ba28ffcf4c073a8e20486cf66fd9d89d976f3d1","source":{"kind":"arxiv","id":"1006.1536","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1536","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1536v2","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1536","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"7R5JQ3ZD2XB6","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7R5JQ3ZD2XB6LBDE","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7R5JQ3ZD","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:7R5JQ3ZD2XB6LBDE6YAVXIUP7T","target":"record","payload":{"canonical_record":{"source":{"id":"1006.1536","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T11:46:38Z","cross_cats_sorted":[],"title_canon_sha256":"f232fa3b8649ae94f00ba8c7151513e78df4ed5c9ae623d770b731063d796717","abstract_canon_sha256":"fca725c7618df2d2496015e320b26e991bc84fb286650187591f983fce788be3"},"schema_version":"1.0"},"canonical_sha256":"fc7a986f23d5c3e58464f6015ba28ffcf4c073a8e20486cf66fd9d89d976f3d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:28:29.877521Z","signature_b64":"NkLwFeJGEV0G5sZty6QgF2pwOcPAd4Y8tPk90sf8XLAkdluthg23gMk5/ak+OtQtTyHRzqtPK1ci2ExfurKfCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fc7a986f23d5c3e58464f6015ba28ffcf4c073a8e20486cf66fd9d89d976f3d1","last_reissued_at":"2026-05-18T04:28:29.876732Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:28:29.876732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.1536","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":"2026-05-18T04:28:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"USVMfwyLbVFPrCE3hJ/cxpKiGAZjhzgchdo5cTk/kkEq1I+d4oUXGDZFu7SJmRW1lUwyg6GGfv1cxa6ohNjRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:21:24.724485Z"},"content_sha256":"da9b0ddc8807961b8fb14518addbecb5f07ca5bc371e023eb57b13b8f293f8e9","schema_version":"1.0","event_id":"sha256:da9b0ddc8807961b8fb14518addbecb5f07ca5bc371e023eb57b13b8f293f8e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:7R5JQ3ZD2XB6LBDE6YAVXIUP7T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lectures on Generalized Complex Geometry for Physicists","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Paul Koerber","submitted_at":"2010-06-08T11:46:38Z","abstract_excerpt":"In these lectures we review Generalized Complex Geometry and discuss two main applications to string theory: the description of supersymmetric flux compactifications and the supersymmetric embedding of D-branes. We start by reviewing G-structures, and in particular SU(3)-structure and its torsion classes, before extending to Generalized Complex Geometry. We then discuss the supersymmetry conditions of type II supergravity in terms of differential conditions on pure spinors, and finally introduce generalized calibrations to describe D-branes. As examples we discuss in some detail AdS4 compactif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1536","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":"2026-05-18T04:28:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yByt9bEAbN2r5/zIOs11hK6m7YlYe8JpjX7/JUU5BD7bMi0m/8ypSXX3YNqVZamM6kWf+17WAjZbnxb4qVahDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T06:21:24.725162Z"},"content_sha256":"d66f23c73472d2be639198b2fd65a77a5d47befad48f355261207aae16ead354","schema_version":"1.0","event_id":"sha256:d66f23c73472d2be639198b2fd65a77a5d47befad48f355261207aae16ead354"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7R5JQ3ZD2XB6LBDE6YAVXIUP7T/bundle.json","state_url":"https://pith.science/pith/7R5JQ3ZD2XB6LBDE6YAVXIUP7T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7R5JQ3ZD2XB6LBDE6YAVXIUP7T/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":"2026-06-09T06:21:24Z","links":{"resolver":"https://pith.science/pith/7R5JQ3ZD2XB6LBDE6YAVXIUP7T","bundle":"https://pith.science/pith/7R5JQ3ZD2XB6LBDE6YAVXIUP7T/bundle.json","state":"https://pith.science/pith/7R5JQ3ZD2XB6LBDE6YAVXIUP7T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7R5JQ3ZD2XB6LBDE6YAVXIUP7T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:7R5JQ3ZD2XB6LBDE6YAVXIUP7T","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":"fca725c7618df2d2496015e320b26e991bc84fb286650187591f983fce788be3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T11:46:38Z","title_canon_sha256":"f232fa3b8649ae94f00ba8c7151513e78df4ed5c9ae623d770b731063d796717"},"schema_version":"1.0","source":{"id":"1006.1536","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.1536","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"1006.1536v2","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.1536","created_at":"2026-05-18T04:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"7R5JQ3ZD2XB6","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"7R5JQ3ZD2XB6LBDE","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"7R5JQ3ZD","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:d66f23c73472d2be639198b2fd65a77a5d47befad48f355261207aae16ead354","target":"graph","created_at":"2026-05-18T04:28:29Z","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":"In these lectures we review Generalized Complex Geometry and discuss two main applications to string theory: the description of supersymmetric flux compactifications and the supersymmetric embedding of D-branes. We start by reviewing G-structures, and in particular SU(3)-structure and its torsion classes, before extending to Generalized Complex Geometry. We then discuss the supersymmetry conditions of type II supergravity in terms of differential conditions on pure spinors, and finally introduce generalized calibrations to describe D-branes. As examples we discuss in some detail AdS4 compactif","authors_text":"Paul Koerber","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T11:46:38Z","title":"Lectures on Generalized Complex Geometry for Physicists"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1536","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:da9b0ddc8807961b8fb14518addbecb5f07ca5bc371e023eb57b13b8f293f8e9","target":"record","created_at":"2026-05-18T04:28:29Z","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":"fca725c7618df2d2496015e320b26e991bc84fb286650187591f983fce788be3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-08T11:46:38Z","title_canon_sha256":"f232fa3b8649ae94f00ba8c7151513e78df4ed5c9ae623d770b731063d796717"},"schema_version":"1.0","source":{"id":"1006.1536","kind":"arxiv","version":2}},"canonical_sha256":"fc7a986f23d5c3e58464f6015ba28ffcf4c073a8e20486cf66fd9d89d976f3d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc7a986f23d5c3e58464f6015ba28ffcf4c073a8e20486cf66fd9d89d976f3d1","first_computed_at":"2026-05-18T04:28:29.876732Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:28:29.876732Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NkLwFeJGEV0G5sZty6QgF2pwOcPAd4Y8tPk90sf8XLAkdluthg23gMk5/ak+OtQtTyHRzqtPK1ci2ExfurKfCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:28:29.877521Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.1536","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:da9b0ddc8807961b8fb14518addbecb5f07ca5bc371e023eb57b13b8f293f8e9","sha256:d66f23c73472d2be639198b2fd65a77a5d47befad48f355261207aae16ead354"],"state_sha256":"185d7c38b6ecab43b9e1a2f8d321c58189dae83600a6488e6b544eac6e3fc3ec"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h2Z06WxZlSO8frr7foLuguKSy3gkYvmpssLah3jHLNExy0lIma0Vc+bxz+w5p2HRQ2kIjrkRXRZvaH800I1vBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T06:21:24.728855Z","bundle_sha256":"a2a77fb2181cda2ecdcfa67d89bf959b0f3a36d505fdcc63029d81656873109c"}}