{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QSG245KSRUY2C36CJBNH3Y4UD7","short_pith_number":"pith:QSG245KS","canonical_record":{"source":{"id":"1103.0114","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-01T09:36:22Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"69fd21c5c9746e565776b10d3e13aa71148eefe816efeed8a9b2a6206dbba1b1","abstract_canon_sha256":"7fce9abbcbe9bd5d7f1ea3462373d0ac094ee4630249b7c34c8c62133438ed28"},"schema_version":"1.0"},"canonical_sha256":"848dae75528d31a16fc2485a7de3941fc72c43f3635480627f831afe2b780557","source":{"kind":"arxiv","id":"1103.0114","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0114","created_at":"2026-05-18T03:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0114v2","created_at":"2026-05-18T03:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0114","created_at":"2026-05-18T03:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"QSG245KSRUY2","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QSG245KSRUY2C36C","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QSG245KS","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QSG245KSRUY2C36CJBNH3Y4UD7","target":"record","payload":{"canonical_record":{"source":{"id":"1103.0114","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-01T09:36:22Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"69fd21c5c9746e565776b10d3e13aa71148eefe816efeed8a9b2a6206dbba1b1","abstract_canon_sha256":"7fce9abbcbe9bd5d7f1ea3462373d0ac094ee4630249b7c34c8c62133438ed28"},"schema_version":"1.0"},"canonical_sha256":"848dae75528d31a16fc2485a7de3941fc72c43f3635480627f831afe2b780557","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:15.151653Z","signature_b64":"x2BSqo4ii9Vsa4EkauO/iU+YYiAtLs6gHy8I4tvnbxIUO7yuJKjm/Y2R7e/erqgK+0vdcttRfgdncLATm4ebBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"848dae75528d31a16fc2485a7de3941fc72c43f3635480627f831afe2b780557","last_reissued_at":"2026-05-18T03:30:15.150865Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:15.150865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.0114","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":"2026-05-18T03:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aNCY2yL1yEp2qqRXta4gcxyprnGwfFWbKcx1LxgwOT5pPebt2HoBD1vq0BpN52FXNf6GD0ages42k1IeIRYHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T03:16:55.788308Z"},"content_sha256":"c0d9fb0a9712170920b1c2fe8764000ef2ca67b6dd6de17cd416b0265ecf8bd3","schema_version":"1.0","event_id":"sha256:c0d9fb0a9712170920b1c2fe8764000ef2ca67b6dd6de17cd416b0265ecf8bd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QSG245KSRUY2C36CJBNH3Y4UD7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Embeddings of SL(2,Z) into the Cremona group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AG","authors_text":"J\\'er\\'emy Blanc, Julie D\\'eserti","submitted_at":"2011-03-01T09:36:22Z","abstract_excerpt":"Geometric and dynamic properties of embeddings of SL(2,Z) into the Cremona group are studied. Infinitely many non-conjugate embeddings which preserve the type (i.e. which send elliptic, parabolic and hyperbolic elements onto elements of the same type) are provided. The existence of infinitely many non-conjugate elliptic, parabolic and hyperbolic embeddings is also shown.\n  In particular, a group G of automorphisms of a smooth surface S obtained by blowing-up 10 points of the complex projective plane is given. The group G is isomorphic to SL(2,Z), preserves an elliptic curve and all its element"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0114","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":"2026-05-18T03:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I5P/3h+1coOMcEKGklH5a0PsgE35ddzeqp4KhI+UUE5ZQjvoRkfDUjIR8sJS9KW1r9HSFNcNFZ4jQrD1abd0Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T03:16:55.788672Z"},"content_sha256":"f38ca011ab1c43fe5e0c1251e5bd70453c3d2810077691fb0b5671dcc4b97347","schema_version":"1.0","event_id":"sha256:f38ca011ab1c43fe5e0c1251e5bd70453c3d2810077691fb0b5671dcc4b97347"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QSG245KSRUY2C36CJBNH3Y4UD7/bundle.json","state_url":"https://pith.science/pith/QSG245KSRUY2C36CJBNH3Y4UD7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QSG245KSRUY2C36CJBNH3Y4UD7/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":"2026-06-29T03:16:55Z","links":{"resolver":"https://pith.science/pith/QSG245KSRUY2C36CJBNH3Y4UD7","bundle":"https://pith.science/pith/QSG245KSRUY2C36CJBNH3Y4UD7/bundle.json","state":"https://pith.science/pith/QSG245KSRUY2C36CJBNH3Y4UD7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QSG245KSRUY2C36CJBNH3Y4UD7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QSG245KSRUY2C36CJBNH3Y4UD7","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":"7fce9abbcbe9bd5d7f1ea3462373d0ac094ee4630249b7c34c8c62133438ed28","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-01T09:36:22Z","title_canon_sha256":"69fd21c5c9746e565776b10d3e13aa71148eefe816efeed8a9b2a6206dbba1b1"},"schema_version":"1.0","source":{"id":"1103.0114","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.0114","created_at":"2026-05-18T03:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1103.0114v2","created_at":"2026-05-18T03:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.0114","created_at":"2026-05-18T03:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"QSG245KSRUY2","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QSG245KSRUY2C36C","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QSG245KS","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:f38ca011ab1c43fe5e0c1251e5bd70453c3d2810077691fb0b5671dcc4b97347","target":"graph","created_at":"2026-05-18T03:30:15Z","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":"Geometric and dynamic properties of embeddings of SL(2,Z) into the Cremona group are studied. Infinitely many non-conjugate embeddings which preserve the type (i.e. which send elliptic, parabolic and hyperbolic elements onto elements of the same type) are provided. The existence of infinitely many non-conjugate elliptic, parabolic and hyperbolic embeddings is also shown.\n  In particular, a group G of automorphisms of a smooth surface S obtained by blowing-up 10 points of the complex projective plane is given. The group G is isomorphic to SL(2,Z), preserves an elliptic curve and all its element","authors_text":"J\\'er\\'emy Blanc, Julie D\\'eserti","cross_cats":["math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-01T09:36:22Z","title":"Embeddings of SL(2,Z) into the Cremona group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.0114","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:c0d9fb0a9712170920b1c2fe8764000ef2ca67b6dd6de17cd416b0265ecf8bd3","target":"record","created_at":"2026-05-18T03:30:15Z","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":"7fce9abbcbe9bd5d7f1ea3462373d0ac094ee4630249b7c34c8c62133438ed28","cross_cats_sorted":["math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-03-01T09:36:22Z","title_canon_sha256":"69fd21c5c9746e565776b10d3e13aa71148eefe816efeed8a9b2a6206dbba1b1"},"schema_version":"1.0","source":{"id":"1103.0114","kind":"arxiv","version":2}},"canonical_sha256":"848dae75528d31a16fc2485a7de3941fc72c43f3635480627f831afe2b780557","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"848dae75528d31a16fc2485a7de3941fc72c43f3635480627f831afe2b780557","first_computed_at":"2026-05-18T03:30:15.150865Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:15.150865Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x2BSqo4ii9Vsa4EkauO/iU+YYiAtLs6gHy8I4tvnbxIUO7yuJKjm/Y2R7e/erqgK+0vdcttRfgdncLATm4ebBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:15.151653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.0114","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0d9fb0a9712170920b1c2fe8764000ef2ca67b6dd6de17cd416b0265ecf8bd3","sha256:f38ca011ab1c43fe5e0c1251e5bd70453c3d2810077691fb0b5671dcc4b97347"],"state_sha256":"7218347b254b03dc5101172b6390fc3666516d489ecc1673bd57e966fd2bb543"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UidFgEECtewpdZPoa+oaEfVj/6MHEACvK+uD4L5I4BRz00bAzCgRpOgYgqZ18N8xKxyKD89YeWHsZuCIgTXwCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T03:16:55.790495Z","bundle_sha256":"acac22e6a0c11110d29799d26b478f74ca069925c2131f7a5228af06ca0d4098"}}