{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:RBEBYCUEASIBIF3I25PTWY74MH","short_pith_number":"pith:RBEBYCUE","canonical_record":{"source":{"id":"1602.04443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-02-14T11:57:36Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"891bb16782ef7d4157f43bea3ac9bfafdfef704f886a50f02cd6c6706668c739","abstract_canon_sha256":"f83cd623d802f571b935cbfa7ffa84ecb8ac436fb840fe50cb61d82234c5ade0"},"schema_version":"1.0"},"canonical_sha256":"88481c0a840490141768d75f3b63fc61e75df418a41e0c5a2dd2a8c78d902e94","source":{"kind":"arxiv","id":"1602.04443","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04443","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04443v1","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04443","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"RBEBYCUEASIB","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RBEBYCUEASIBIF3I","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RBEBYCUE","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:RBEBYCUEASIBIF3I25PTWY74MH","target":"record","payload":{"canonical_record":{"source":{"id":"1602.04443","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-02-14T11:57:36Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"891bb16782ef7d4157f43bea3ac9bfafdfef704f886a50f02cd6c6706668c739","abstract_canon_sha256":"f83cd623d802f571b935cbfa7ffa84ecb8ac436fb840fe50cb61d82234c5ade0"},"schema_version":"1.0"},"canonical_sha256":"88481c0a840490141768d75f3b63fc61e75df418a41e0c5a2dd2a8c78d902e94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:49.922534Z","signature_b64":"90M7rXHLE7L1UJzyERglBK+tfr9jjsruSM3mFpyXOgZ6wHG/7F7G8Fs+LeBa6W6QPnr2hBmMI0UACJqCcaVODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88481c0a840490141768d75f3b63fc61e75df418a41e0c5a2dd2a8c78d902e94","last_reissued_at":"2026-05-18T01:20:49.921957Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:49.921957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.04443","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":"2026-05-18T01:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9ur5Rb2zACBTk7Lj2cAnl61k8i05xGDsSgWKGmkGX//O2NhW45Pr6zLbBjHJcOUBZhGYuybSb1cqO5s5nM5gAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:12:47.364854Z"},"content_sha256":"9c0b35d77107b0f58351ae43120729f5d7dddc0ff5eb5482063d132a51e7f228","schema_version":"1.0","event_id":"sha256:9c0b35d77107b0f58351ae43120729f5d7dddc0ff5eb5482063d132a51e7f228"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:RBEBYCUEASIBIF3I25PTWY74MH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-affine horocycle orbit closures on strata of translation surfaces: new examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.DS","authors_text":"Lucien Clavier","submitted_at":"2016-02-14T11:57:36Z","abstract_excerpt":"We investigate specific examples of locally-defined real vector-fields on strata of translation surfaces. Integrating SL(2,R)-loci of Veech surfaces along these vector-fields yield interesting new examples of horocyle-invariant ergodic measures. These measures are supported on closed immersed manifolds with boundary that approach the boundary of strata in a novel way."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04443","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":"2026-05-18T01:20:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WEy4NLAeV06b0Dgv8kSr6BXihZYsAm/Jy6Vd5VPiz0Xq5gpdYHhRfI/Wl0i6CpWDJf4+ASGGKd2aQRtyf89dAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T16:12:47.365195Z"},"content_sha256":"9815eeeb94985ccbc5c1f4856eb97e8ddf3aaa28ca8825af4f3bc9b43c387bde","schema_version":"1.0","event_id":"sha256:9815eeeb94985ccbc5c1f4856eb97e8ddf3aaa28ca8825af4f3bc9b43c387bde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RBEBYCUEASIBIF3I25PTWY74MH/bundle.json","state_url":"https://pith.science/pith/RBEBYCUEASIBIF3I25PTWY74MH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RBEBYCUEASIBIF3I25PTWY74MH/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":"2026-06-24T16:12:47Z","links":{"resolver":"https://pith.science/pith/RBEBYCUEASIBIF3I25PTWY74MH","bundle":"https://pith.science/pith/RBEBYCUEASIBIF3I25PTWY74MH/bundle.json","state":"https://pith.science/pith/RBEBYCUEASIBIF3I25PTWY74MH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RBEBYCUEASIBIF3I25PTWY74MH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:RBEBYCUEASIBIF3I25PTWY74MH","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":"f83cd623d802f571b935cbfa7ffa84ecb8ac436fb840fe50cb61d82234c5ade0","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-02-14T11:57:36Z","title_canon_sha256":"891bb16782ef7d4157f43bea3ac9bfafdfef704f886a50f02cd6c6706668c739"},"schema_version":"1.0","source":{"id":"1602.04443","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04443","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04443v1","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04443","created_at":"2026-05-18T01:20:49Z"},{"alias_kind":"pith_short_12","alias_value":"RBEBYCUEASIB","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"RBEBYCUEASIBIF3I","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"RBEBYCUE","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:9815eeeb94985ccbc5c1f4856eb97e8ddf3aaa28ca8825af4f3bc9b43c387bde","target":"graph","created_at":"2026-05-18T01:20:49Z","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 investigate specific examples of locally-defined real vector-fields on strata of translation surfaces. Integrating SL(2,R)-loci of Veech surfaces along these vector-fields yield interesting new examples of horocyle-invariant ergodic measures. These measures are supported on closed immersed manifolds with boundary that approach the boundary of strata in a novel way.","authors_text":"Lucien Clavier","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-02-14T11:57:36Z","title":"Non-affine horocycle orbit closures on strata of translation surfaces: new examples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04443","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":"sha256:9c0b35d77107b0f58351ae43120729f5d7dddc0ff5eb5482063d132a51e7f228","target":"record","created_at":"2026-05-18T01:20:49Z","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":"f83cd623d802f571b935cbfa7ffa84ecb8ac436fb840fe50cb61d82234c5ade0","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-02-14T11:57:36Z","title_canon_sha256":"891bb16782ef7d4157f43bea3ac9bfafdfef704f886a50f02cd6c6706668c739"},"schema_version":"1.0","source":{"id":"1602.04443","kind":"arxiv","version":1}},"canonical_sha256":"88481c0a840490141768d75f3b63fc61e75df418a41e0c5a2dd2a8c78d902e94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88481c0a840490141768d75f3b63fc61e75df418a41e0c5a2dd2a8c78d902e94","first_computed_at":"2026-05-18T01:20:49.921957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:49.921957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"90M7rXHLE7L1UJzyERglBK+tfr9jjsruSM3mFpyXOgZ6wHG/7F7G8Fs+LeBa6W6QPnr2hBmMI0UACJqCcaVODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:49.922534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04443","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c0b35d77107b0f58351ae43120729f5d7dddc0ff5eb5482063d132a51e7f228","sha256:9815eeeb94985ccbc5c1f4856eb97e8ddf3aaa28ca8825af4f3bc9b43c387bde"],"state_sha256":"20203e7b4d858181506f9772aaf157ee18617c5cd46d0b993e5148dc490747cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hirc8gcL+AoWrVSgsLdMs6HnIBamjL9t5h3+dsvR4GzSC5SWAvqqRgXQgi9FWvPR9OBaUjB8FeUe2OT7Ui7SDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T16:12:47.367004Z","bundle_sha256":"0c45fdda69e3dbc850c62c1e08b51fa86a95c9d1489f7464d1a23c018294dcc2"}}