{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YB7HQLDQ7JX33PYVOYOLGDTFXM","short_pith_number":"pith:YB7HQLDQ","canonical_record":{"source":{"id":"1603.06991","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T21:27:03Z","cross_cats_sorted":[],"title_canon_sha256":"9b2b6d73b10b964d628540d8ccc79d420d75db74da3f5393796d84d1d94063c2","abstract_canon_sha256":"5be2af176a3271105e35c6c6a54ce975807e0c488527fcb3b507b70635c77e57"},"schema_version":"1.0"},"canonical_sha256":"c07e782c70fa6fbdbf15761cb30e65bb1943205a0af10b77d9ebfaf16c40e30b","source":{"kind":"arxiv","id":"1603.06991","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06991","created_at":"2026-05-18T00:33:02Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06991v2","created_at":"2026-05-18T00:33:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06991","created_at":"2026-05-18T00:33:02Z"},{"alias_kind":"pith_short_12","alias_value":"YB7HQLDQ7JX3","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YB7HQLDQ7JX33PYV","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YB7HQLDQ","created_at":"2026-05-18T12:30:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YB7HQLDQ7JX33PYVOYOLGDTFXM","target":"record","payload":{"canonical_record":{"source":{"id":"1603.06991","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T21:27:03Z","cross_cats_sorted":[],"title_canon_sha256":"9b2b6d73b10b964d628540d8ccc79d420d75db74da3f5393796d84d1d94063c2","abstract_canon_sha256":"5be2af176a3271105e35c6c6a54ce975807e0c488527fcb3b507b70635c77e57"},"schema_version":"1.0"},"canonical_sha256":"c07e782c70fa6fbdbf15761cb30e65bb1943205a0af10b77d9ebfaf16c40e30b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:02.508026Z","signature_b64":"443H0JnibPq+NCo14S6seG5CpP8l+bkUH9MyK7FQeYM7kR3U9On0D1wCjTBhPYHw8f0kEaOIOiIViNkXehQLCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c07e782c70fa6fbdbf15761cb30e65bb1943205a0af10b77d9ebfaf16c40e30b","last_reissued_at":"2026-05-18T00:33:02.507479Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:02.507479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.06991","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":"2026-05-18T00:33:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UuHZAvFOhoxJO8m7hoDCL2138QvIt3x/JbG4pnE+17r2qmUTn7K7KxkimuNpG8AUySgcCsXKY+2/V+NbbeJ1Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:03:27.028096Z"},"content_sha256":"17ff931e91db274f92662bcdfb292f0273a44c5d3cd5fdbc88fb2fbc3b8c1959","schema_version":"1.0","event_id":"sha256:17ff931e91db274f92662bcdfb292f0273a44c5d3cd5fdbc88fb2fbc3b8c1959"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YB7HQLDQ7JX33PYVOYOLGDTFXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the biregular geometry of the Fulton-MacPherson compactification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alex Massarenti","submitted_at":"2016-03-22T21:27:03Z","abstract_excerpt":"Let $X[n]$ be the Fulton-MacPherson compactification of the configuration space of $n$ ordered points on a smooth projective variety $X$. We prove that if either $n\\neq 2$ or $\\dim(X)\\geq 2$, then the connected component of the identity of $Aut(X[n])$ is isomorphic to the connected component of the identity of $Aut(X)$. When $X = C$ is a curve of genus $g(C)\\neq 1$ we classify the dominant morphisms $C[n]\\rightarrow C[r]$, and thanks to this we manage to compute the whole automorphism group of $C[n]$, namely $Aut(C[n])\\cong S_n\\times Aut(C)$ for any $n\\neq 2$, while $Aut(C[2])\\cong S_2\\ltimes "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06991","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":"2026-05-18T00:33:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KUXg4A6Nr6nYKFpEMjZubg3gTbWi5MvrbllXi7rfJQKvJgPisyy/m691xO3C/5Gc1PmR3BuE1KmjYlwpFEa0Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T15:03:27.028486Z"},"content_sha256":"c5d52b8b55fbe1f2333b74719a980b89b0ff2c8d6dba2c87bd59daaf73244936","schema_version":"1.0","event_id":"sha256:c5d52b8b55fbe1f2333b74719a980b89b0ff2c8d6dba2c87bd59daaf73244936"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YB7HQLDQ7JX33PYVOYOLGDTFXM/bundle.json","state_url":"https://pith.science/pith/YB7HQLDQ7JX33PYVOYOLGDTFXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YB7HQLDQ7JX33PYVOYOLGDTFXM/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":"2026-06-23T15:03:27Z","links":{"resolver":"https://pith.science/pith/YB7HQLDQ7JX33PYVOYOLGDTFXM","bundle":"https://pith.science/pith/YB7HQLDQ7JX33PYVOYOLGDTFXM/bundle.json","state":"https://pith.science/pith/YB7HQLDQ7JX33PYVOYOLGDTFXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YB7HQLDQ7JX33PYVOYOLGDTFXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YB7HQLDQ7JX33PYVOYOLGDTFXM","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":"5be2af176a3271105e35c6c6a54ce975807e0c488527fcb3b507b70635c77e57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T21:27:03Z","title_canon_sha256":"9b2b6d73b10b964d628540d8ccc79d420d75db74da3f5393796d84d1d94063c2"},"schema_version":"1.0","source":{"id":"1603.06991","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06991","created_at":"2026-05-18T00:33:02Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06991v2","created_at":"2026-05-18T00:33:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06991","created_at":"2026-05-18T00:33:02Z"},{"alias_kind":"pith_short_12","alias_value":"YB7HQLDQ7JX3","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_16","alias_value":"YB7HQLDQ7JX33PYV","created_at":"2026-05-18T12:30:53Z"},{"alias_kind":"pith_short_8","alias_value":"YB7HQLDQ","created_at":"2026-05-18T12:30:53Z"}],"graph_snapshots":[{"event_id":"sha256:c5d52b8b55fbe1f2333b74719a980b89b0ff2c8d6dba2c87bd59daaf73244936","target":"graph","created_at":"2026-05-18T00:33:02Z","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":"Let $X[n]$ be the Fulton-MacPherson compactification of the configuration space of $n$ ordered points on a smooth projective variety $X$. We prove that if either $n\\neq 2$ or $\\dim(X)\\geq 2$, then the connected component of the identity of $Aut(X[n])$ is isomorphic to the connected component of the identity of $Aut(X)$. When $X = C$ is a curve of genus $g(C)\\neq 1$ we classify the dominant morphisms $C[n]\\rightarrow C[r]$, and thanks to this we manage to compute the whole automorphism group of $C[n]$, namely $Aut(C[n])\\cong S_n\\times Aut(C)$ for any $n\\neq 2$, while $Aut(C[2])\\cong S_2\\ltimes ","authors_text":"Alex Massarenti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T21:27:03Z","title":"On the biregular geometry of the Fulton-MacPherson compactification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06991","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":"sha256:17ff931e91db274f92662bcdfb292f0273a44c5d3cd5fdbc88fb2fbc3b8c1959","target":"record","created_at":"2026-05-18T00:33:02Z","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":"5be2af176a3271105e35c6c6a54ce975807e0c488527fcb3b507b70635c77e57","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-03-22T21:27:03Z","title_canon_sha256":"9b2b6d73b10b964d628540d8ccc79d420d75db74da3f5393796d84d1d94063c2"},"schema_version":"1.0","source":{"id":"1603.06991","kind":"arxiv","version":2}},"canonical_sha256":"c07e782c70fa6fbdbf15761cb30e65bb1943205a0af10b77d9ebfaf16c40e30b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c07e782c70fa6fbdbf15761cb30e65bb1943205a0af10b77d9ebfaf16c40e30b","first_computed_at":"2026-05-18T00:33:02.507479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:02.507479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"443H0JnibPq+NCo14S6seG5CpP8l+bkUH9MyK7FQeYM7kR3U9On0D1wCjTBhPYHw8f0kEaOIOiIViNkXehQLCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:02.508026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06991","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17ff931e91db274f92662bcdfb292f0273a44c5d3cd5fdbc88fb2fbc3b8c1959","sha256:c5d52b8b55fbe1f2333b74719a980b89b0ff2c8d6dba2c87bd59daaf73244936"],"state_sha256":"de3180ac9e8ec7b8aa5faf280ea5ed6c67953431a9db91a5406f3bbd0c4eff2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"anorKde7o32eQF8uVfPy3+CS/fAnwa44uqd3fokbNAdW5h/yyB/LSU5NREwl27LieW/jdLAydOXu7GwFTHv+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T15:03:27.030646Z","bundle_sha256":"fca05d098c48eb38193dd27269cb18c5dd6ddb9b0f950cdf8b4c7436d5402bf3"}}