{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2EVZRH2472RUKX7S4M6YRKYKTZ","short_pith_number":"pith:2EVZRH24","canonical_record":{"source":{"id":"1807.02705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-07T18:30:24Z","cross_cats_sorted":[],"title_canon_sha256":"a16a72050ed1334a072e63371affc89f6b48d23db7cd493f808679a43ec02c55","abstract_canon_sha256":"fe9d16f053da9693b583cd4d1a1c6473e3809b8604d51668df1ea2d7d3d06b11"},"schema_version":"1.0"},"canonical_sha256":"d12b989f5cfea3455ff2e33d88ab0a9e4613bbdf099fd9a10d8ec3b818f9d555","source":{"kind":"arxiv","id":"1807.02705","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02705","created_at":"2026-05-18T00:11:16Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02705v1","created_at":"2026-05-18T00:11:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02705","created_at":"2026-05-18T00:11:16Z"},{"alias_kind":"pith_short_12","alias_value":"2EVZRH2472RU","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2EVZRH2472RUKX7S","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2EVZRH24","created_at":"2026-05-18T12:31:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2EVZRH2472RUKX7S4M6YRKYKTZ","target":"record","payload":{"canonical_record":{"source":{"id":"1807.02705","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-07T18:30:24Z","cross_cats_sorted":[],"title_canon_sha256":"a16a72050ed1334a072e63371affc89f6b48d23db7cd493f808679a43ec02c55","abstract_canon_sha256":"fe9d16f053da9693b583cd4d1a1c6473e3809b8604d51668df1ea2d7d3d06b11"},"schema_version":"1.0"},"canonical_sha256":"d12b989f5cfea3455ff2e33d88ab0a9e4613bbdf099fd9a10d8ec3b818f9d555","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:16.253569Z","signature_b64":"I8ss6PTwXyhclmU4/p9gHo+eLgjiULg6wjWbCOIQkB89JIUrDghr043yz3KAgx4eOLaAwpicGmWMjBC487HHCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d12b989f5cfea3455ff2e33d88ab0a9e4613bbdf099fd9a10d8ec3b818f9d555","last_reissued_at":"2026-05-18T00:11:16.252893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:16.252893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.02705","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":"2026-05-18T00:11:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"chPp6/x04ZBq9l5RI1yszY7rjm/pBptYfGlhEi/L3S7qqUbIptx98HBW2JyuDXZW/gYIEwnzol1W8dgciznrCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T05:41:33.430474Z"},"content_sha256":"90b69894398c88bfbbdc42a326403202adc6398e44830e3ce2cd35fce10f7fa1","schema_version":"1.0","event_id":"sha256:90b69894398c88bfbbdc42a326403202adc6398e44830e3ce2cd35fce10f7fa1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2EVZRH2472RUKX7S4M6YRKYKTZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the maximum conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Masoud Sabzevari","submitted_at":"2018-07-07T18:30:24Z","abstract_excerpt":"We verify the maximum conjecture on the rigidity of totally nondegenerate model CR manifolds in the following two cases: (i) for all models of CR dimension one (ii) for the so-called full-models, namely those in which their associated symbol algebras are free CR. In particular, we discover that in each arbitrary CR dimension and length >= 3, there exists at least one totally nondegenerate model, enjoying this conjecture. Our proofs rely upon some recent results in the Tanaka theory of transitive prolongation of fundamental algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02705","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":"2026-05-18T00:11:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DrFtwGoB1N1vtkAyNo8hxzRD3Z819ZJEh5kJQRiR3351HR+k4RPTQBVyvYTT+sgxRAcy1ToE7wzU31Tz9+RlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T05:41:33.430813Z"},"content_sha256":"888b53c4e4c5c4a7a4f552db21b49273fd085f67d615c84151b03fc3f688e7ba","schema_version":"1.0","event_id":"sha256:888b53c4e4c5c4a7a4f552db21b49273fd085f67d615c84151b03fc3f688e7ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2EVZRH2472RUKX7S4M6YRKYKTZ/bundle.json","state_url":"https://pith.science/pith/2EVZRH2472RUKX7S4M6YRKYKTZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2EVZRH2472RUKX7S4M6YRKYKTZ/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":"2026-06-28T05:41:33Z","links":{"resolver":"https://pith.science/pith/2EVZRH2472RUKX7S4M6YRKYKTZ","bundle":"https://pith.science/pith/2EVZRH2472RUKX7S4M6YRKYKTZ/bundle.json","state":"https://pith.science/pith/2EVZRH2472RUKX7S4M6YRKYKTZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2EVZRH2472RUKX7S4M6YRKYKTZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2EVZRH2472RUKX7S4M6YRKYKTZ","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":"fe9d16f053da9693b583cd4d1a1c6473e3809b8604d51668df1ea2d7d3d06b11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-07T18:30:24Z","title_canon_sha256":"a16a72050ed1334a072e63371affc89f6b48d23db7cd493f808679a43ec02c55"},"schema_version":"1.0","source":{"id":"1807.02705","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.02705","created_at":"2026-05-18T00:11:16Z"},{"alias_kind":"arxiv_version","alias_value":"1807.02705v1","created_at":"2026-05-18T00:11:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.02705","created_at":"2026-05-18T00:11:16Z"},{"alias_kind":"pith_short_12","alias_value":"2EVZRH2472RU","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_16","alias_value":"2EVZRH2472RUKX7S","created_at":"2026-05-18T12:31:59Z"},{"alias_kind":"pith_short_8","alias_value":"2EVZRH24","created_at":"2026-05-18T12:31:59Z"}],"graph_snapshots":[{"event_id":"sha256:888b53c4e4c5c4a7a4f552db21b49273fd085f67d615c84151b03fc3f688e7ba","target":"graph","created_at":"2026-05-18T00:11:16Z","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 verify the maximum conjecture on the rigidity of totally nondegenerate model CR manifolds in the following two cases: (i) for all models of CR dimension one (ii) for the so-called full-models, namely those in which their associated symbol algebras are free CR. In particular, we discover that in each arbitrary CR dimension and length >= 3, there exists at least one totally nondegenerate model, enjoying this conjecture. Our proofs rely upon some recent results in the Tanaka theory of transitive prolongation of fundamental algebras.","authors_text":"Masoud Sabzevari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-07T18:30:24Z","title":"On the maximum conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.02705","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":"sha256:90b69894398c88bfbbdc42a326403202adc6398e44830e3ce2cd35fce10f7fa1","target":"record","created_at":"2026-05-18T00:11:16Z","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":"fe9d16f053da9693b583cd4d1a1c6473e3809b8604d51668df1ea2d7d3d06b11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2018-07-07T18:30:24Z","title_canon_sha256":"a16a72050ed1334a072e63371affc89f6b48d23db7cd493f808679a43ec02c55"},"schema_version":"1.0","source":{"id":"1807.02705","kind":"arxiv","version":1}},"canonical_sha256":"d12b989f5cfea3455ff2e33d88ab0a9e4613bbdf099fd9a10d8ec3b818f9d555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d12b989f5cfea3455ff2e33d88ab0a9e4613bbdf099fd9a10d8ec3b818f9d555","first_computed_at":"2026-05-18T00:11:16.252893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:16.252893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"I8ss6PTwXyhclmU4/p9gHo+eLgjiULg6wjWbCOIQkB89JIUrDghr043yz3KAgx4eOLaAwpicGmWMjBC487HHCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:16.253569Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.02705","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90b69894398c88bfbbdc42a326403202adc6398e44830e3ce2cd35fce10f7fa1","sha256:888b53c4e4c5c4a7a4f552db21b49273fd085f67d615c84151b03fc3f688e7ba"],"state_sha256":"8f6f6f4a67bf615c65098eeb7e7165d6491b17d3044c77f2e256764d86991153"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mW+RLez9Wq2HooeVxrquYu5GMhv8u7++RVkkVMfviVghe5AfmFqeGWOeo6jKdjTj9eHdo24m7bzIBOebH+EpBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T05:41:33.432607Z","bundle_sha256":"d869318c7fa80631a8e5458e9cfb6fdc2793511ae2d268c6cd511166f4fe20fd"}}