{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:S26KFKMSZI55KLGF5W6NPGTWTA","short_pith_number":"pith:S26KFKMS","canonical_record":{"source":{"id":"1802.07667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-02-21T17:06:32Z","cross_cats_sorted":["math.DG","math.SG"],"title_canon_sha256":"1d6ec49f8ff79d652f5bd8f01cbf163b6d5e74b8194205b2a1b2ebdd82e9c41d","abstract_canon_sha256":"4add6df73f2f4c5a0cff6d192f31bb541aa583b60f5aa41f5eb834f72f28137a"},"schema_version":"1.0"},"canonical_sha256":"96bca2a992ca3bd52cc5edbcd79a76981dad7527d48460d28a478d366c970ec4","source":{"kind":"arxiv","id":"1802.07667","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07667","created_at":"2026-05-18T00:19:20Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07667v1","created_at":"2026-05-18T00:19:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07667","created_at":"2026-05-18T00:19:20Z"},{"alias_kind":"pith_short_12","alias_value":"S26KFKMSZI55","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S26KFKMSZI55KLGF","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S26KFKMS","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:S26KFKMSZI55KLGF5W6NPGTWTA","target":"record","payload":{"canonical_record":{"source":{"id":"1802.07667","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-02-21T17:06:32Z","cross_cats_sorted":["math.DG","math.SG"],"title_canon_sha256":"1d6ec49f8ff79d652f5bd8f01cbf163b6d5e74b8194205b2a1b2ebdd82e9c41d","abstract_canon_sha256":"4add6df73f2f4c5a0cff6d192f31bb541aa583b60f5aa41f5eb834f72f28137a"},"schema_version":"1.0"},"canonical_sha256":"96bca2a992ca3bd52cc5edbcd79a76981dad7527d48460d28a478d366c970ec4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:20.843753Z","signature_b64":"qI6vqJWWBZQXdMB5BVTDhJUrX5p75zHPuStBDX8Jytx1pQw6Qn4GLg4n4kWluFwsUG6gT/uvrNGSfDxMDGnjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96bca2a992ca3bd52cc5edbcd79a76981dad7527d48460d28a478d366c970ec4","last_reissued_at":"2026-05-18T00:19:20.843021Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:20.843021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.07667","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:19:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u99A9I04RC7FJIzUeHy3Vsg9OhNNkQV1qaX4ngFIG7c09L80TCcNiSzCQlH4zXL/Ta26MuZJglhDVx2PW/uHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:03:55.311674Z"},"content_sha256":"7970ec051ac51a4e123f9b1ffcc5765e1c33dacf7447d55e14b0ef1304c401de","schema_version":"1.0","event_id":"sha256:7970ec051ac51a4e123f9b1ffcc5765e1c33dacf7447d55e14b0ef1304c401de"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:S26KFKMSZI55KLGF5W6NPGTWTA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On higher-dimensional Courant algebroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.SG"],"primary_cat":"math.QA","authors_text":"Camilo Rengifo, Paul Bressler","submitted_at":"2018-02-21T17:06:32Z","abstract_excerpt":"We define the transgression functor which associates to a (higher-dimensional) Courant algebroid on a manifold a Lie algebroid on the shifted tangent bundle of the manifold."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07667","kind":"arxiv","version":1},"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":"2026-05-18T00:19:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RQhWI0i1H+uM2znBucFKL0dvJyeP/aABRK7LAdJ7jYY6T2YkPsJ6aMzb0DxmXSgPjrfLWVBXAO4UiWGxwSuBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:03:55.312324Z"},"content_sha256":"8f785ad0512ca220ea23fbcf8f9a9450fe79ae49f8b7fa868f18ba2e57c32193","schema_version":"1.0","event_id":"sha256:8f785ad0512ca220ea23fbcf8f9a9450fe79ae49f8b7fa868f18ba2e57c32193"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S26KFKMSZI55KLGF5W6NPGTWTA/bundle.json","state_url":"https://pith.science/pith/S26KFKMSZI55KLGF5W6NPGTWTA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S26KFKMSZI55KLGF5W6NPGTWTA/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":"2026-05-26T12:03:55Z","links":{"resolver":"https://pith.science/pith/S26KFKMSZI55KLGF5W6NPGTWTA","bundle":"https://pith.science/pith/S26KFKMSZI55KLGF5W6NPGTWTA/bundle.json","state":"https://pith.science/pith/S26KFKMSZI55KLGF5W6NPGTWTA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S26KFKMSZI55KLGF5W6NPGTWTA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S26KFKMSZI55KLGF5W6NPGTWTA","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":"4add6df73f2f4c5a0cff6d192f31bb541aa583b60f5aa41f5eb834f72f28137a","cross_cats_sorted":["math.DG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-02-21T17:06:32Z","title_canon_sha256":"1d6ec49f8ff79d652f5bd8f01cbf163b6d5e74b8194205b2a1b2ebdd82e9c41d"},"schema_version":"1.0","source":{"id":"1802.07667","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07667","created_at":"2026-05-18T00:19:20Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07667v1","created_at":"2026-05-18T00:19:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07667","created_at":"2026-05-18T00:19:20Z"},{"alias_kind":"pith_short_12","alias_value":"S26KFKMSZI55","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S26KFKMSZI55KLGF","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S26KFKMS","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:8f785ad0512ca220ea23fbcf8f9a9450fe79ae49f8b7fa868f18ba2e57c32193","target":"graph","created_at":"2026-05-18T00:19:20Z","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 define the transgression functor which associates to a (higher-dimensional) Courant algebroid on a manifold a Lie algebroid on the shifted tangent bundle of the manifold.","authors_text":"Camilo Rengifo, Paul Bressler","cross_cats":["math.DG","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-02-21T17:06:32Z","title":"On higher-dimensional Courant algebroids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07667","kind":"arxiv","version":1},"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":"sha256:7970ec051ac51a4e123f9b1ffcc5765e1c33dacf7447d55e14b0ef1304c401de","target":"record","created_at":"2026-05-18T00:19:20Z","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":"4add6df73f2f4c5a0cff6d192f31bb541aa583b60f5aa41f5eb834f72f28137a","cross_cats_sorted":["math.DG","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-02-21T17:06:32Z","title_canon_sha256":"1d6ec49f8ff79d652f5bd8f01cbf163b6d5e74b8194205b2a1b2ebdd82e9c41d"},"schema_version":"1.0","source":{"id":"1802.07667","kind":"arxiv","version":1}},"canonical_sha256":"96bca2a992ca3bd52cc5edbcd79a76981dad7527d48460d28a478d366c970ec4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96bca2a992ca3bd52cc5edbcd79a76981dad7527d48460d28a478d366c970ec4","first_computed_at":"2026-05-18T00:19:20.843021Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:20.843021Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qI6vqJWWBZQXdMB5BVTDhJUrX5p75zHPuStBDX8Jytx1pQw6Qn4GLg4n4kWluFwsUG6gT/uvrNGSfDxMDGnjBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:20.843753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07667","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7970ec051ac51a4e123f9b1ffcc5765e1c33dacf7447d55e14b0ef1304c401de","sha256:8f785ad0512ca220ea23fbcf8f9a9450fe79ae49f8b7fa868f18ba2e57c32193"],"state_sha256":"f41e5282d4c4d11464a22a68021d958efaabdbcd4a240afd3dedf56cc70937b4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f6NdCS1SP1ZdsLrUiadms/XpJveiRbUi7J6HDSEc4cHZnidEC6GIX8a2RCKZTw5k9QgWklhnlBjy3UJNuxZ0BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:03:55.315731Z","bundle_sha256":"598a109ff5b2642706ba5e5b0cec6e296a97a0bce37b25d7d81e4dd6b1bbfedb"}}