{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:N73YVPXHNJKADGF63Y4V5RVEOV","short_pith_number":"pith:N73YVPXH","schema_version":"1.0","canonical_sha256":"6ff78abee76a540198bede395ec6a4757c834e4e08fc2b70bc3d4283efd75614","source":{"kind":"arxiv","id":"1311.7522","version":2},"attestation_state":"computed","paper":{"title":"Equivalences of 5-dimensional CR manifolds III: Six models and elementary normalizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Joel Merker (LM-Orsay)","submitted_at":"2013-11-29T11:22:40Z","abstract_excerpt":"The six nondegeneracy conditions of geometric nature that are satisfied by the only six possibly existing nondegenerate general classes I, II, III-1, III-2, IV-1, IV-2 of 5-dimensional CR manifolds are shown to be readable instantaneously from their elementarily normalized respective defining graphed equations, without advanced Moser theory."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1311.7522","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-29T11:22:40Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"220eeadf1b25de3430244aba0a3e5fb1777e03eb8a178d977ab61e1672e599df","abstract_canon_sha256":"8f3639b97a9b88b4053c707cf1c75d0486aad33e299b5acd6cc1c472538a75d5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:51:11.207765Z","signature_b64":"N3wRljyrxZ2DkFiZ73HBWMSzA7SxXHrfxGP1nr2z/T+51P8xABnRdNegarU4avvuIJoXcCEvAGtjJcNdPIqJDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ff78abee76a540198bede395ec6a4757c834e4e08fc2b70bc3d4283efd75614","last_reissued_at":"2026-07-05T11:51:11.207215Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:51:11.207215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivalences of 5-dimensional CR manifolds III: Six models and elementary normalizations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.CV","authors_text":"Joel Merker (LM-Orsay)","submitted_at":"2013-11-29T11:22:40Z","abstract_excerpt":"The six nondegeneracy conditions of geometric nature that are satisfied by the only six possibly existing nondegenerate general classes I, II, III-1, III-2, IV-1, IV-2 of 5-dimensional CR manifolds are shown to be readable instantaneously from their elementarily normalized respective defining graphed equations, without advanced Moser theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.7522","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1311.7522/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1311.7522","created_at":"2026-07-05T11:51:11.207274+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.7522v2","created_at":"2026-07-05T11:51:11.207274+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.7522","created_at":"2026-07-05T11:51:11.207274+00:00"},{"alias_kind":"pith_short_12","alias_value":"N73YVPXHNJKA","created_at":"2026-07-05T11:51:11.207274+00:00"},{"alias_kind":"pith_short_16","alias_value":"N73YVPXHNJKADGF6","created_at":"2026-07-05T11:51:11.207274+00:00"},{"alias_kind":"pith_short_8","alias_value":"N73YVPXH","created_at":"2026-07-05T11:51:11.207274+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.08305","citing_title":"Holomorphic immersions of bi-disks into $9$ dimensional real hypersurfaces with Levi signature $(2, 2)$","ref_index":17,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV","json":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV.json","graph_json":"https://pith.science/api/pith-number/N73YVPXHNJKADGF63Y4V5RVEOV/graph.json","events_json":"https://pith.science/api/pith-number/N73YVPXHNJKADGF63Y4V5RVEOV/events.json","paper":"https://pith.science/paper/N73YVPXH"},"agent_actions":{"view_html":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV","download_json":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV.json","view_paper":"https://pith.science/paper/N73YVPXH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.7522&json=true","fetch_graph":"https://pith.science/api/pith-number/N73YVPXHNJKADGF63Y4V5RVEOV/graph.json","fetch_events":"https://pith.science/api/pith-number/N73YVPXHNJKADGF63Y4V5RVEOV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV/action/storage_attestation","attest_author":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV/action/author_attestation","sign_citation":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV/action/citation_signature","submit_replication":"https://pith.science/pith/N73YVPXHNJKADGF63Y4V5RVEOV/action/replication_record"}},"created_at":"2026-07-05T11:51:11.207274+00:00","updated_at":"2026-07-05T11:51:11.207274+00:00"}