{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:2HIRQMXTQQ7S5Q2PIKJFZWL3T2","short_pith_number":"pith:2HIRQMXT","canonical_record":{"source":{"id":"1901.07644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-22T23:23:36Z","cross_cats_sorted":[],"title_canon_sha256":"ec2cff121a480d6875e0b2e4e4d2d7f35732de36240822170d3efd3fd479eea5","abstract_canon_sha256":"c9bd4eca24314f44394c708546db9e56c81285697f264474619d1cce9955368c"},"schema_version":"1.0"},"canonical_sha256":"d1d11832f3843f2ec34f42925cd97b9e9f6b11cef78d5cd159c8db53d88dbedb","source":{"kind":"arxiv","id":"1901.07644","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07644","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07644v1","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07644","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"pith_short_12","alias_value":"2HIRQMXTQQ7S","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"2HIRQMXTQQ7S5Q2P","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"2HIRQMXT","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:2HIRQMXTQQ7S5Q2PIKJFZWL3T2","target":"record","payload":{"canonical_record":{"source":{"id":"1901.07644","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-22T23:23:36Z","cross_cats_sorted":[],"title_canon_sha256":"ec2cff121a480d6875e0b2e4e4d2d7f35732de36240822170d3efd3fd479eea5","abstract_canon_sha256":"c9bd4eca24314f44394c708546db9e56c81285697f264474619d1cce9955368c"},"schema_version":"1.0"},"canonical_sha256":"d1d11832f3843f2ec34f42925cd97b9e9f6b11cef78d5cd159c8db53d88dbedb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:41.968269Z","signature_b64":"ZlBNecp3zlphUMcUG5d8BmO6IyEBtojJwtOWc7z7jHy/BSVEjuam5UcdsDMzw71l0agujfUGMmb79ki8mvmtAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1d11832f3843f2ec34f42925cd97b9e9f6b11cef78d5cd159c8db53d88dbedb","last_reissued_at":"2026-05-17T23:55:41.967631Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:41.967631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.07644","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":"2026-05-17T23:55:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xUxTIhyEotSQPgOrFpQv2O/VEBQI+ucGBbnpUEQfKN+7tEkBLFnHwy58Ypx6WlU6OO4dMr5V4Klzo5B1Aq1rAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T05:31:21.897577Z"},"content_sha256":"3beb96b787f58dbb32756791eb736e562826f4a123a6fa9a5e78af228006589d","schema_version":"1.0","event_id":"sha256:3beb96b787f58dbb32756791eb736e562826f4a123a6fa9a5e78af228006589d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:2HIRQMXTQQ7S5Q2PIKJFZWL3T2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metric uniformization of morphisms of Berkovich curves via $p$-adic differential equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Francesco Baldassarri, Velibor Bojkovi\\'c","submitted_at":"2019-01-22T23:23:36Z","abstract_excerpt":"We consider a finite \\'etale morphism $f:Y \\to X$ of quasi-smooth Berkovich curves over a complete nonarchimedean non-trivially valued field $k$, assumed algebraically closed and of characteristic 0, and a skeleton $\\Gamma_f=(\\Gamma_Y,\\Gamma_X)$\n  of the morphism $f$. We prove that $\\Gamma_f$ radializes $f$ if and only if $\\Gamma_X$ controls the pushforward of the constant $p$-adic differential equation $f_*(\\mathcal{O}_Y,d_Y)$.\n  Furthermore, when $f$ is a finite \\'etale morphism of open unit discs, we prove that $f$ is radial if and only if the number of preimages of a point $x\\in X$, counte"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07644","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":"2026-05-17T23:55:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3MW6oXIjzHH+MGGCWqOraAc+b+xUYDRLZxtZxr2RWiTQimSopqDa4Oen7nSby6ylzzuFIkcQ22b1DhxqFNaOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T05:31:21.897931Z"},"content_sha256":"de1e57a9ce381025540cc2b2ee6f02b722a37f389ef515535386bed2a64a6738","schema_version":"1.0","event_id":"sha256:de1e57a9ce381025540cc2b2ee6f02b722a37f389ef515535386bed2a64a6738"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2HIRQMXTQQ7S5Q2PIKJFZWL3T2/bundle.json","state_url":"https://pith.science/pith/2HIRQMXTQQ7S5Q2PIKJFZWL3T2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2HIRQMXTQQ7S5Q2PIKJFZWL3T2/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":"2026-06-25T05:31:21Z","links":{"resolver":"https://pith.science/pith/2HIRQMXTQQ7S5Q2PIKJFZWL3T2","bundle":"https://pith.science/pith/2HIRQMXTQQ7S5Q2PIKJFZWL3T2/bundle.json","state":"https://pith.science/pith/2HIRQMXTQQ7S5Q2PIKJFZWL3T2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2HIRQMXTQQ7S5Q2PIKJFZWL3T2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:2HIRQMXTQQ7S5Q2PIKJFZWL3T2","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":"c9bd4eca24314f44394c708546db9e56c81285697f264474619d1cce9955368c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-22T23:23:36Z","title_canon_sha256":"ec2cff121a480d6875e0b2e4e4d2d7f35732de36240822170d3efd3fd479eea5"},"schema_version":"1.0","source":{"id":"1901.07644","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.07644","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"arxiv_version","alias_value":"1901.07644v1","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.07644","created_at":"2026-05-17T23:55:41Z"},{"alias_kind":"pith_short_12","alias_value":"2HIRQMXTQQ7S","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"2HIRQMXTQQ7S5Q2P","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"2HIRQMXT","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:de1e57a9ce381025540cc2b2ee6f02b722a37f389ef515535386bed2a64a6738","target":"graph","created_at":"2026-05-17T23:55:41Z","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 consider a finite \\'etale morphism $f:Y \\to X$ of quasi-smooth Berkovich curves over a complete nonarchimedean non-trivially valued field $k$, assumed algebraically closed and of characteristic 0, and a skeleton $\\Gamma_f=(\\Gamma_Y,\\Gamma_X)$\n  of the morphism $f$. We prove that $\\Gamma_f$ radializes $f$ if and only if $\\Gamma_X$ controls the pushforward of the constant $p$-adic differential equation $f_*(\\mathcal{O}_Y,d_Y)$.\n  Furthermore, when $f$ is a finite \\'etale morphism of open unit discs, we prove that $f$ is radial if and only if the number of preimages of a point $x\\in X$, counte","authors_text":"Francesco Baldassarri, Velibor Bojkovi\\'c","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-22T23:23:36Z","title":"Metric uniformization of morphisms of Berkovich curves via $p$-adic differential equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.07644","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":"sha256:3beb96b787f58dbb32756791eb736e562826f4a123a6fa9a5e78af228006589d","target":"record","created_at":"2026-05-17T23:55:41Z","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":"c9bd4eca24314f44394c708546db9e56c81285697f264474619d1cce9955368c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-01-22T23:23:36Z","title_canon_sha256":"ec2cff121a480d6875e0b2e4e4d2d7f35732de36240822170d3efd3fd479eea5"},"schema_version":"1.0","source":{"id":"1901.07644","kind":"arxiv","version":1}},"canonical_sha256":"d1d11832f3843f2ec34f42925cd97b9e9f6b11cef78d5cd159c8db53d88dbedb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1d11832f3843f2ec34f42925cd97b9e9f6b11cef78d5cd159c8db53d88dbedb","first_computed_at":"2026-05-17T23:55:41.967631Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:41.967631Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZlBNecp3zlphUMcUG5d8BmO6IyEBtojJwtOWc7z7jHy/BSVEjuam5UcdsDMzw71l0agujfUGMmb79ki8mvmtAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:41.968269Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.07644","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3beb96b787f58dbb32756791eb736e562826f4a123a6fa9a5e78af228006589d","sha256:de1e57a9ce381025540cc2b2ee6f02b722a37f389ef515535386bed2a64a6738"],"state_sha256":"0f3855f7010b8c7b9bb470681b7bd12d0312f2334c221611226325a4511d6076"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YnncDJWiWTjsXPFWsLd+qdCuA+CER8R33ELrIL9WGI0qT1oASxRjUXzu72g45o7Ct1kddGH33bbCPbP0/nn0AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T05:31:21.899941Z","bundle_sha256":"23ed97b6c22fc96c966a560c6b3fffb4892c808b8842a28dec1783b6843ecdd1"}}