{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HXOZJOVIQ63E25VHVXUBJWPCVC","short_pith_number":"pith:HXOZJOVI","canonical_record":{"source":{"id":"1312.7471","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-28T20:27:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"be7edaf6268408311345ee6c544d667f85243473fc7aa3d19e9610bffb0cd924","abstract_canon_sha256":"1452da46ee9c989f2c24d2efebf79e5c4872dc55a7f6bf6ee9e787ebb795d3b9"},"schema_version":"1.0"},"canonical_sha256":"3ddd94baa887b64d76a7ade814d9e2a8973f285f1c263c832c12b11ef5c3679e","source":{"kind":"arxiv","id":"1312.7471","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7471","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7471v3","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7471","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"HXOZJOVIQ63E","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HXOZJOVIQ63E25VH","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HXOZJOVI","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HXOZJOVIQ63E25VHVXUBJWPCVC","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7471","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-28T20:27:40Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"be7edaf6268408311345ee6c544d667f85243473fc7aa3d19e9610bffb0cd924","abstract_canon_sha256":"1452da46ee9c989f2c24d2efebf79e5c4872dc55a7f6bf6ee9e787ebb795d3b9"},"schema_version":"1.0"},"canonical_sha256":"3ddd94baa887b64d76a7ade814d9e2a8973f285f1c263c832c12b11ef5c3679e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:38.745965Z","signature_b64":"UyPPFC72S7Os3I1Qx/DnGWNw2GQalq7/Bm2IyjDktj/w5sepOjI6EPaLzhnI9rLvtzkySeflRlQo8xzy0QSKDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ddd94baa887b64d76a7ade814d9e2a8973f285f1c263c832c12b11ef5c3679e","last_reissued_at":"2026-05-18T01:24:38.745609Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:38.745609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7471","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":"2026-05-18T01:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wEeVNhNthG9zJND1nF3g1+7CkdbMQU0yReE4YC6XQs56lThOqKUKS3jeExtblJk/T+6RUXietkqPcDOX1GVPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:20:08.511746Z"},"content_sha256":"77bbc1ae159a8efc9b32a69d1e9e8f21c38f9c3501a38e30130fa9322c90f806","schema_version":"1.0","event_id":"sha256:77bbc1ae159a8efc9b32a69d1e9e8f21c38f9c3501a38e30130fa9322c90f806"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HXOZJOVIQ63E25VHVXUBJWPCVC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Contact Geometry and T-Duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Daniele Grandini, Marco Aldi","submitted_at":"2013-12-28T20:27:40Z","abstract_excerpt":"We study generalized almost contact structures on odd-dimensional manifolds. We introduce a notion of integrability and show that the class of these structures is closed under symmetries of the Courant-Dorfman bracket, including T-duality. We define a notion of geometric type for generalized almost contact structures, and study its behavior under T-duality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7471","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":""},"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":"2026-05-18T01:24:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D9ikf9yQCWSQ/FEiRdJSBF8GlyuE72+evpxlvSqozuimr6cvqdbg2ymvQo6xEefFW/tuj5Rz65MBZQknHqu/BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T22:20:08.512094Z"},"content_sha256":"6aaa4d0345f4bba2652a1ca23bc171db173542904a4b9cd2dc6af252dd86bf44","schema_version":"1.0","event_id":"sha256:6aaa4d0345f4bba2652a1ca23bc171db173542904a4b9cd2dc6af252dd86bf44"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HXOZJOVIQ63E25VHVXUBJWPCVC/bundle.json","state_url":"https://pith.science/pith/HXOZJOVIQ63E25VHVXUBJWPCVC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HXOZJOVIQ63E25VHVXUBJWPCVC/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":"2026-06-01T22:20:08Z","links":{"resolver":"https://pith.science/pith/HXOZJOVIQ63E25VHVXUBJWPCVC","bundle":"https://pith.science/pith/HXOZJOVIQ63E25VHVXUBJWPCVC/bundle.json","state":"https://pith.science/pith/HXOZJOVIQ63E25VHVXUBJWPCVC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HXOZJOVIQ63E25VHVXUBJWPCVC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HXOZJOVIQ63E25VHVXUBJWPCVC","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":"1452da46ee9c989f2c24d2efebf79e5c4872dc55a7f6bf6ee9e787ebb795d3b9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-28T20:27:40Z","title_canon_sha256":"be7edaf6268408311345ee6c544d667f85243473fc7aa3d19e9610bffb0cd924"},"schema_version":"1.0","source":{"id":"1312.7471","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7471","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7471v3","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7471","created_at":"2026-05-18T01:24:38Z"},{"alias_kind":"pith_short_12","alias_value":"HXOZJOVIQ63E","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HXOZJOVIQ63E25VH","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HXOZJOVI","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:6aaa4d0345f4bba2652a1ca23bc171db173542904a4b9cd2dc6af252dd86bf44","target":"graph","created_at":"2026-05-18T01:24:38Z","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 study generalized almost contact structures on odd-dimensional manifolds. We introduce a notion of integrability and show that the class of these structures is closed under symmetries of the Courant-Dorfman bracket, including T-duality. We define a notion of geometric type for generalized almost contact structures, and study its behavior under T-duality.","authors_text":"Daniele Grandini, Marco Aldi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-28T20:27:40Z","title":"Generalized Contact Geometry and T-Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7471","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":"sha256:77bbc1ae159a8efc9b32a69d1e9e8f21c38f9c3501a38e30130fa9322c90f806","target":"record","created_at":"2026-05-18T01:24:38Z","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":"1452da46ee9c989f2c24d2efebf79e5c4872dc55a7f6bf6ee9e787ebb795d3b9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-12-28T20:27:40Z","title_canon_sha256":"be7edaf6268408311345ee6c544d667f85243473fc7aa3d19e9610bffb0cd924"},"schema_version":"1.0","source":{"id":"1312.7471","kind":"arxiv","version":3}},"canonical_sha256":"3ddd94baa887b64d76a7ade814d9e2a8973f285f1c263c832c12b11ef5c3679e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ddd94baa887b64d76a7ade814d9e2a8973f285f1c263c832c12b11ef5c3679e","first_computed_at":"2026-05-18T01:24:38.745609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:38.745609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UyPPFC72S7Os3I1Qx/DnGWNw2GQalq7/Bm2IyjDktj/w5sepOjI6EPaLzhnI9rLvtzkySeflRlQo8xzy0QSKDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:38.745965Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7471","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77bbc1ae159a8efc9b32a69d1e9e8f21c38f9c3501a38e30130fa9322c90f806","sha256:6aaa4d0345f4bba2652a1ca23bc171db173542904a4b9cd2dc6af252dd86bf44"],"state_sha256":"fd0f0271b749d6f1210c96351b564ad0081c73036210a1fbdb0fd15bcb0ecda6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s7giBXpV+H9aHLOn4hVNg8uG2LeZbRVcaialLVzoA3CtX0mO58h34VBPlRM0cTbOx2GKqh71RthPsv2OS3tiDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T22:20:08.514154Z","bundle_sha256":"0ab18db833eca1483e6929ef698eab44ffc1c00289cd3bd735861736ee313dab"}}