{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LZ42IMU7RY2XWHPCYOY3TLBLST","short_pith_number":"pith:LZ42IMU7","canonical_record":{"source":{"id":"1611.09425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-28T23:29:28Z","cross_cats_sorted":[],"title_canon_sha256":"aee1ca0e586b914a59157720f8848da0531a069d6871cddbe0e420ed023464a1","abstract_canon_sha256":"5a77eaedcb2c321792246f4e1d975ffad3d9efcc6b6ac4d059fa4b5b74c1e513"},"schema_version":"1.0"},"canonical_sha256":"5e79a4329f8e357b1de2c3b1b9ac2b94f598849c5be08aa96ffb4d96317c86c1","source":{"kind":"arxiv","id":"1611.09425","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09425","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09425v1","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09425","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"pith_short_12","alias_value":"LZ42IMU7RY2X","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LZ42IMU7RY2XWHPC","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LZ42IMU7","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LZ42IMU7RY2XWHPCYOY3TLBLST","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09425","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-28T23:29:28Z","cross_cats_sorted":[],"title_canon_sha256":"aee1ca0e586b914a59157720f8848da0531a069d6871cddbe0e420ed023464a1","abstract_canon_sha256":"5a77eaedcb2c321792246f4e1d975ffad3d9efcc6b6ac4d059fa4b5b74c1e513"},"schema_version":"1.0"},"canonical_sha256":"5e79a4329f8e357b1de2c3b1b9ac2b94f598849c5be08aa96ffb4d96317c86c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:18.600690Z","signature_b64":"E23htv/pHnNqby69MBEhRKfa5ynvPt2HFOjXOcFYVE+JM08E5eDdSRLKUPVHxE29tMC7KWRzfgUYkh4QkMlUAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e79a4329f8e357b1de2c3b1b9ac2b94f598849c5be08aa96ffb4d96317c86c1","last_reissued_at":"2026-05-18T00:56:18.600077Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:18.600077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09425","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":"2026-05-18T00:56:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FPl+Kz3iqfTBbDqyLuVgByCC9oXh2ckxtVmDL5AOk61HDZV0BPyEeMD26RRJTs9UqR4oFmbTXA1L3GzoqPdFDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:23:18.766784Z"},"content_sha256":"d56326cbcf13d6f5c40bf9833e3a3d32e1a937a4b81cf01069fa084b684dd2ac","schema_version":"1.0","event_id":"sha256:d56326cbcf13d6f5c40bf9833e3a3d32e1a937a4b81cf01069fa084b684dd2ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LZ42IMU7RY2XWHPCYOY3TLBLST","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Horizontal Distribution Relations for Special Cycles on Unitary Shimura Varieties: Split Case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Dimitar Jetchev, Ernest Hunter Brooks, Reda Boumasmoud","submitted_at":"2016-11-28T23:29:28Z","abstract_excerpt":"We study the local behavior of special cycles on Shimura varieties for $\\mathbf{U}(2, 1) \\times \\mathbf{U}(1, 1)$ in the setting of the Gan-Gross-Prasad conjectures at primes $\\tau$ of the totally real field of definition of the unitary spaces which are split in the corresponding totally imaginary quadratic extension. We establish a local formula for their fields of definition, and prove a distribution relation between the Galois and Hecke actions on them. This complements work of \\cite{jetchev:unitary} at inert primes, where the combinatorics of the formulas are reduced to calculations on the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09425","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":"2026-05-18T00:56:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t8HxAJf4ozUbZz2FH4vkZrrRiWtK4jpmq1iUF4Bz1B1/8VNlgDlWoOG4zO5t1LQCfJ47L1F37lPSjxjYw+I+BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:23:18.767118Z"},"content_sha256":"d95327503e4921bd60e7b6ce923cdcd422b3ccfcb44bd30745348a223c2970e0","schema_version":"1.0","event_id":"sha256:d95327503e4921bd60e7b6ce923cdcd422b3ccfcb44bd30745348a223c2970e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LZ42IMU7RY2XWHPCYOY3TLBLST/bundle.json","state_url":"https://pith.science/pith/LZ42IMU7RY2XWHPCYOY3TLBLST/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LZ42IMU7RY2XWHPCYOY3TLBLST/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":"2026-06-28T17:23:18Z","links":{"resolver":"https://pith.science/pith/LZ42IMU7RY2XWHPCYOY3TLBLST","bundle":"https://pith.science/pith/LZ42IMU7RY2XWHPCYOY3TLBLST/bundle.json","state":"https://pith.science/pith/LZ42IMU7RY2XWHPCYOY3TLBLST/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LZ42IMU7RY2XWHPCYOY3TLBLST/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LZ42IMU7RY2XWHPCYOY3TLBLST","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":"5a77eaedcb2c321792246f4e1d975ffad3d9efcc6b6ac4d059fa4b5b74c1e513","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-28T23:29:28Z","title_canon_sha256":"aee1ca0e586b914a59157720f8848da0531a069d6871cddbe0e420ed023464a1"},"schema_version":"1.0","source":{"id":"1611.09425","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09425","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09425v1","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09425","created_at":"2026-05-18T00:56:18Z"},{"alias_kind":"pith_short_12","alias_value":"LZ42IMU7RY2X","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LZ42IMU7RY2XWHPC","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LZ42IMU7","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:d95327503e4921bd60e7b6ce923cdcd422b3ccfcb44bd30745348a223c2970e0","target":"graph","created_at":"2026-05-18T00:56:18Z","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":"We study the local behavior of special cycles on Shimura varieties for $\\mathbf{U}(2, 1) \\times \\mathbf{U}(1, 1)$ in the setting of the Gan-Gross-Prasad conjectures at primes $\\tau$ of the totally real field of definition of the unitary spaces which are split in the corresponding totally imaginary quadratic extension. We establish a local formula for their fields of definition, and prove a distribution relation between the Galois and Hecke actions on them. This complements work of \\cite{jetchev:unitary} at inert primes, where the combinatorics of the formulas are reduced to calculations on the","authors_text":"Dimitar Jetchev, Ernest Hunter Brooks, Reda Boumasmoud","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-28T23:29:28Z","title":"Horizontal Distribution Relations for Special Cycles on Unitary Shimura Varieties: Split Case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09425","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:d56326cbcf13d6f5c40bf9833e3a3d32e1a937a4b81cf01069fa084b684dd2ac","target":"record","created_at":"2026-05-18T00:56:18Z","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":"5a77eaedcb2c321792246f4e1d975ffad3d9efcc6b6ac4d059fa4b5b74c1e513","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2016-11-28T23:29:28Z","title_canon_sha256":"aee1ca0e586b914a59157720f8848da0531a069d6871cddbe0e420ed023464a1"},"schema_version":"1.0","source":{"id":"1611.09425","kind":"arxiv","version":1}},"canonical_sha256":"5e79a4329f8e357b1de2c3b1b9ac2b94f598849c5be08aa96ffb4d96317c86c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e79a4329f8e357b1de2c3b1b9ac2b94f598849c5be08aa96ffb4d96317c86c1","first_computed_at":"2026-05-18T00:56:18.600077Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:18.600077Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E23htv/pHnNqby69MBEhRKfa5ynvPt2HFOjXOcFYVE+JM08E5eDdSRLKUPVHxE29tMC7KWRzfgUYkh4QkMlUAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:18.600690Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09425","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d56326cbcf13d6f5c40bf9833e3a3d32e1a937a4b81cf01069fa084b684dd2ac","sha256:d95327503e4921bd60e7b6ce923cdcd422b3ccfcb44bd30745348a223c2970e0"],"state_sha256":"0230e294114980db74c43b844d4532c27f44c7098229146daca4fd8f949ff64e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g69ALpewXw7mFj4O/nALpnuaz+MbYrxMXhCEAKZIOgizyjjBAnMIaHlY/VR378+l1zywnKESVOqa+MWjUNpLAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T17:23:18.768955Z","bundle_sha256":"8a5f26a6f943bb671bf8c1388abaa7a27fec92577bb50e7f126ea364dc15f0d1"}}