{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:VE42M77CSQ6J2AISKSS77YKLIM","short_pith_number":"pith:VE42M77C","canonical_record":{"source":{"id":"1106.4580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-22T21:06:49Z","cross_cats_sorted":[],"title_canon_sha256":"ab27cef88982a6ed10af3043fdf5f59fe67ef6fa875380cf24ebdfdea607f2b5","abstract_canon_sha256":"c7e0b1b5dda9853480d90e419e03cd35d8913c84c89368853dc4196ecfcb90e3"},"schema_version":"1.0"},"canonical_sha256":"a939a67fe2943c9d011254a5ffe14b433cf58080b12d03aeeacfadeec441dd35","source":{"kind":"arxiv","id":"1106.4580","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4580","created_at":"2026-05-18T02:48:53Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4580v1","created_at":"2026-05-18T02:48:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4580","created_at":"2026-05-18T02:48:53Z"},{"alias_kind":"pith_short_12","alias_value":"VE42M77CSQ6J","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VE42M77CSQ6J2AIS","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VE42M77C","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:VE42M77CSQ6J2AISKSS77YKLIM","target":"record","payload":{"canonical_record":{"source":{"id":"1106.4580","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-22T21:06:49Z","cross_cats_sorted":[],"title_canon_sha256":"ab27cef88982a6ed10af3043fdf5f59fe67ef6fa875380cf24ebdfdea607f2b5","abstract_canon_sha256":"c7e0b1b5dda9853480d90e419e03cd35d8913c84c89368853dc4196ecfcb90e3"},"schema_version":"1.0"},"canonical_sha256":"a939a67fe2943c9d011254a5ffe14b433cf58080b12d03aeeacfadeec441dd35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:53.505355Z","signature_b64":"irKKTaVppKtSmqMuDGx5L3hDv7xyIyI5vZFiIMtY8TyLZsEYpV+Vffir5WF+aVjt0GUNUkCgiqqYihQSak4fAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a939a67fe2943c9d011254a5ffe14b433cf58080b12d03aeeacfadeec441dd35","last_reissued_at":"2026-05-18T02:48:53.504829Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:53.504829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.4580","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":"2026-05-18T02:48:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fpNbJki0OU4QIuqarwDe+pBn6FAe4dFXfMSARqK7RNT72vUAxjJdgqOIFUx3dcCOoRhomyaD3Gd8F2mHNIATCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:21:20.071281Z"},"content_sha256":"fdc5fa4d2dd468f0c0b506be9614612f8dafd58a86692eb2d51fbb0710b27189","schema_version":"1.0","event_id":"sha256:fdc5fa4d2dd468f0c0b506be9614612f8dafd58a86692eb2d51fbb0710b27189"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:VE42M77CSQ6J2AISKSS77YKLIM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holomorphic automorphisms of Danielewski surfaces II -- structure of the overshear group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Andreas Lind, Frank Kutzschebauch, Rafael B. Andrist","submitted_at":"2011-06-22T21:06:49Z","abstract_excerpt":"We apply Nevanlinna theory for algebraic varieties to Danielewski surfaces and investigate their group of holomorphic automorphisms. Our main result states that the overshear group which is known to be dense in the identity component of the holomorphic automorphism group, is a free amalgamated product."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4580","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":"2026-05-18T02:48:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vkA294DoRGRr9LQsmlZDJEDDaZatf6rGSB62qLVnVxVoz1IPdT2qlSeBuFV7YXJcaVfyzrMWmTaLFokpFcBICQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:21:20.071640Z"},"content_sha256":"eb226d6b69874a1283b80934957f5f36f4e96a45520b009f17ab7cb3bccd8414","schema_version":"1.0","event_id":"sha256:eb226d6b69874a1283b80934957f5f36f4e96a45520b009f17ab7cb3bccd8414"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VE42M77CSQ6J2AISKSS77YKLIM/bundle.json","state_url":"https://pith.science/pith/VE42M77CSQ6J2AISKSS77YKLIM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VE42M77CSQ6J2AISKSS77YKLIM/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":"2026-05-28T18:21:20Z","links":{"resolver":"https://pith.science/pith/VE42M77CSQ6J2AISKSS77YKLIM","bundle":"https://pith.science/pith/VE42M77CSQ6J2AISKSS77YKLIM/bundle.json","state":"https://pith.science/pith/VE42M77CSQ6J2AISKSS77YKLIM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VE42M77CSQ6J2AISKSS77YKLIM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:VE42M77CSQ6J2AISKSS77YKLIM","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":"c7e0b1b5dda9853480d90e419e03cd35d8913c84c89368853dc4196ecfcb90e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-22T21:06:49Z","title_canon_sha256":"ab27cef88982a6ed10af3043fdf5f59fe67ef6fa875380cf24ebdfdea607f2b5"},"schema_version":"1.0","source":{"id":"1106.4580","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4580","created_at":"2026-05-18T02:48:53Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4580v1","created_at":"2026-05-18T02:48:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4580","created_at":"2026-05-18T02:48:53Z"},{"alias_kind":"pith_short_12","alias_value":"VE42M77CSQ6J","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"VE42M77CSQ6J2AIS","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"VE42M77C","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:eb226d6b69874a1283b80934957f5f36f4e96a45520b009f17ab7cb3bccd8414","target":"graph","created_at":"2026-05-18T02:48:53Z","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 apply Nevanlinna theory for algebraic varieties to Danielewski surfaces and investigate their group of holomorphic automorphisms. Our main result states that the overshear group which is known to be dense in the identity component of the holomorphic automorphism group, is a free amalgamated product.","authors_text":"Andreas Lind, Frank Kutzschebauch, Rafael B. Andrist","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-22T21:06:49Z","title":"Holomorphic automorphisms of Danielewski surfaces II -- structure of the overshear group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4580","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:fdc5fa4d2dd468f0c0b506be9614612f8dafd58a86692eb2d51fbb0710b27189","target":"record","created_at":"2026-05-18T02:48:53Z","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":"c7e0b1b5dda9853480d90e419e03cd35d8913c84c89368853dc4196ecfcb90e3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2011-06-22T21:06:49Z","title_canon_sha256":"ab27cef88982a6ed10af3043fdf5f59fe67ef6fa875380cf24ebdfdea607f2b5"},"schema_version":"1.0","source":{"id":"1106.4580","kind":"arxiv","version":1}},"canonical_sha256":"a939a67fe2943c9d011254a5ffe14b433cf58080b12d03aeeacfadeec441dd35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a939a67fe2943c9d011254a5ffe14b433cf58080b12d03aeeacfadeec441dd35","first_computed_at":"2026-05-18T02:48:53.504829Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:53.504829Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"irKKTaVppKtSmqMuDGx5L3hDv7xyIyI5vZFiIMtY8TyLZsEYpV+Vffir5WF+aVjt0GUNUkCgiqqYihQSak4fAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:53.505355Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4580","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdc5fa4d2dd468f0c0b506be9614612f8dafd58a86692eb2d51fbb0710b27189","sha256:eb226d6b69874a1283b80934957f5f36f4e96a45520b009f17ab7cb3bccd8414"],"state_sha256":"ff1b98802e85605cc04d0d5d66361ed5e2620296cb708cef8d836e544d6c5965"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fHOE/zmIkO8Hb3pZoCHxae+m6zKi/29/KU4jMegoe/W6wvmW4l//q1jIPFRSlub4k0RhJloDwyWCUZmMtIESDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:21:20.074057Z","bundle_sha256":"40b71089cd729c82d7a1ef5d2076a5d7add47bbd1b54eef2a20581020c82adbe"}}