{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YOR7HSC445MYCFPQBAJZTYWTHO","short_pith_number":"pith:YOR7HSC4","canonical_record":{"source":{"id":"1311.1075","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-05T14:43:19Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7dbf714dc10970d4753168e0b67f0e29abb0456312ce65092d5fe13ba104ba26","abstract_canon_sha256":"8a2e1ddf7220e02780097b87941e6672f55dddf3fedc4c165061bd87a971c98c"},"schema_version":"1.0"},"canonical_sha256":"c3a3f3c85ce7598115f0081399e2d33b809facc8ac28571d96ae384063f2c621","source":{"kind":"arxiv","id":"1311.1075","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1075","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1075v2","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1075","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"YOR7HSC445MY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YOR7HSC445MYCFPQ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YOR7HSC4","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YOR7HSC445MYCFPQBAJZTYWTHO","target":"record","payload":{"canonical_record":{"source":{"id":"1311.1075","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-05T14:43:19Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"7dbf714dc10970d4753168e0b67f0e29abb0456312ce65092d5fe13ba104ba26","abstract_canon_sha256":"8a2e1ddf7220e02780097b87941e6672f55dddf3fedc4c165061bd87a971c98c"},"schema_version":"1.0"},"canonical_sha256":"c3a3f3c85ce7598115f0081399e2d33b809facc8ac28571d96ae384063f2c621","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:01.392446Z","signature_b64":"U1c6oJYAgponISs3u/9UsUJsFM+0K/TvFU1cCybTpq1wBQmEVv3ovrpbOwVX4IuMsA/b6IhqV9bmHUCErq1cAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3a3f3c85ce7598115f0081399e2d33b809facc8ac28571d96ae384063f2c621","last_reissued_at":"2026-05-18T02:33:01.392088Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:01.392088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1311.1075","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tnyoPFz9WUp3ehW7qLtBC9GGa7YxeTZnAL0g/lXcjX2ckmHccy96wyGy8T4op+9tMLQEshCSVpJRgRbiC9IJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:08:05.624670Z"},"content_sha256":"debb67cd953e2b9c8a36383638258943f3f1710e41dd30607ff3480203421018","schema_version":"1.0","event_id":"sha256:debb67cd953e2b9c8a36383638258943f3f1710e41dd30607ff3480203421018"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YOR7HSC445MYCFPQBAJZTYWTHO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lie algebra generated by locally nilpotent derivations on Danielewski surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.CV","authors_text":"Frank Kutzschebauch, Matthias Leuenberger","submitted_at":"2013-11-05T14:43:19Z","abstract_excerpt":"We give a full description of the Lie algebra generated by locally nilpotent derivations (short LNDs) on smooth Danielewski surfaces $D_p$ given by $xy=p(z)$. In case $\\mathrm{deg}(p)\\geq 3$ it turns out to be not the whole Lie algebra $\\mathrm{VF}_{alg}^\\omega(D_p)$ of volume preserving algebraic vector fields, thus answering a question posed by Lind and the first author. Also we show algebraic volume density property (short AVDP) for a certain homology plane, a homogeneous space of the form $SL_2 (\\mathbb{C}) /N$, where $N$ is the normalizer of the maximal torus and another related example. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1075","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":""},"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":"2026-05-18T02:33:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZJV9PzxiETl+UTxPAJEWZcPb+TTRLqNKuJugfquFSW4SpDQ1x4yLkGCzxFuFD9XzMzv3O7TP0/EyMoE3qHTMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:08:05.625021Z"},"content_sha256":"3ed77a542dc7eee8f0f9f1eff57b4d98ef115d0de6ff2eb5c2ca78a4e4f374c4","schema_version":"1.0","event_id":"sha256:3ed77a542dc7eee8f0f9f1eff57b4d98ef115d0de6ff2eb5c2ca78a4e4f374c4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YOR7HSC445MYCFPQBAJZTYWTHO/bundle.json","state_url":"https://pith.science/pith/YOR7HSC445MYCFPQBAJZTYWTHO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YOR7HSC445MYCFPQBAJZTYWTHO/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":"2026-05-27T22:08:05Z","links":{"resolver":"https://pith.science/pith/YOR7HSC445MYCFPQBAJZTYWTHO","bundle":"https://pith.science/pith/YOR7HSC445MYCFPQBAJZTYWTHO/bundle.json","state":"https://pith.science/pith/YOR7HSC445MYCFPQBAJZTYWTHO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YOR7HSC445MYCFPQBAJZTYWTHO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YOR7HSC445MYCFPQBAJZTYWTHO","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":"8a2e1ddf7220e02780097b87941e6672f55dddf3fedc4c165061bd87a971c98c","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-05T14:43:19Z","title_canon_sha256":"7dbf714dc10970d4753168e0b67f0e29abb0456312ce65092d5fe13ba104ba26"},"schema_version":"1.0","source":{"id":"1311.1075","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1311.1075","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"arxiv_version","alias_value":"1311.1075v2","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.1075","created_at":"2026-05-18T02:33:01Z"},{"alias_kind":"pith_short_12","alias_value":"YOR7HSC445MY","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YOR7HSC445MYCFPQ","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YOR7HSC4","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:3ed77a542dc7eee8f0f9f1eff57b4d98ef115d0de6ff2eb5c2ca78a4e4f374c4","target":"graph","created_at":"2026-05-18T02:33:01Z","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 give a full description of the Lie algebra generated by locally nilpotent derivations (short LNDs) on smooth Danielewski surfaces $D_p$ given by $xy=p(z)$. In case $\\mathrm{deg}(p)\\geq 3$ it turns out to be not the whole Lie algebra $\\mathrm{VF}_{alg}^\\omega(D_p)$ of volume preserving algebraic vector fields, thus answering a question posed by Lind and the first author. Also we show algebraic volume density property (short AVDP) for a certain homology plane, a homogeneous space of the form $SL_2 (\\mathbb{C}) /N$, where $N$ is the normalizer of the maximal torus and another related example. ","authors_text":"Frank Kutzschebauch, Matthias Leuenberger","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-05T14:43:19Z","title":"Lie algebra generated by locally nilpotent derivations on Danielewski surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1075","kind":"arxiv","version":2},"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:debb67cd953e2b9c8a36383638258943f3f1710e41dd30607ff3480203421018","target":"record","created_at":"2026-05-18T02:33:01Z","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":"8a2e1ddf7220e02780097b87941e6672f55dddf3fedc4c165061bd87a971c98c","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-11-05T14:43:19Z","title_canon_sha256":"7dbf714dc10970d4753168e0b67f0e29abb0456312ce65092d5fe13ba104ba26"},"schema_version":"1.0","source":{"id":"1311.1075","kind":"arxiv","version":2}},"canonical_sha256":"c3a3f3c85ce7598115f0081399e2d33b809facc8ac28571d96ae384063f2c621","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3a3f3c85ce7598115f0081399e2d33b809facc8ac28571d96ae384063f2c621","first_computed_at":"2026-05-18T02:33:01.392088Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:01.392088Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U1c6oJYAgponISs3u/9UsUJsFM+0K/TvFU1cCybTpq1wBQmEVv3ovrpbOwVX4IuMsA/b6IhqV9bmHUCErq1cAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:01.392446Z","signed_message":"canonical_sha256_bytes"},"source_id":"1311.1075","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:debb67cd953e2b9c8a36383638258943f3f1710e41dd30607ff3480203421018","sha256:3ed77a542dc7eee8f0f9f1eff57b4d98ef115d0de6ff2eb5c2ca78a4e4f374c4"],"state_sha256":"b93a746935288916ae81989426a2a6a10d1219ec926525f539ed0338ca757099"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kqbsoAiLhao7wNGRKXS8kKTn+QNCUPTjepO143FQMlNJn4B5hO8GBZV1K/7UjLsD4kMn1QfSrBDCyAZHi9V1Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:08:05.627941Z","bundle_sha256":"8cfd485a3bddc82419db1ccaed270b0b30798f0f99c055d59fd1401fa07b2740"}}