{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:HT6BPF6WYK5GSCFBXYLXP7MS3Y","short_pith_number":"pith:HT6BPF6W","canonical_record":{"source":{"id":"1402.0647","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-04T07:39:28Z","cross_cats_sorted":[],"title_canon_sha256":"250ae6fd4ca8bb3e370811230a6fe37fcc3d3c41ab5bad200737a8dcc38c4e8e","abstract_canon_sha256":"45e708eee3dad2acf776c0da71849903236d4db824a46987886fbd277a25b95e"},"schema_version":"1.0"},"canonical_sha256":"3cfc1797d6c2ba6908a1be1777fd92de16d624494c3ee7932738a8f4717e3338","source":{"kind":"arxiv","id":"1402.0647","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0647","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0647v4","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0647","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"pith_short_12","alias_value":"HT6BPF6WYK5G","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HT6BPF6WYK5GSCFB","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HT6BPF6W","created_at":"2026-05-18T12:28:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:HT6BPF6WYK5GSCFBXYLXP7MS3Y","target":"record","payload":{"canonical_record":{"source":{"id":"1402.0647","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-04T07:39:28Z","cross_cats_sorted":[],"title_canon_sha256":"250ae6fd4ca8bb3e370811230a6fe37fcc3d3c41ab5bad200737a8dcc38c4e8e","abstract_canon_sha256":"45e708eee3dad2acf776c0da71849903236d4db824a46987886fbd277a25b95e"},"schema_version":"1.0"},"canonical_sha256":"3cfc1797d6c2ba6908a1be1777fd92de16d624494c3ee7932738a8f4717e3338","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:57.662228Z","signature_b64":"45FRMrxRY9TjlK/EzPxXGf21wPNiVgc4srkt4DkmuV7GMmdLngQ5u4NtRcaCDh5Ba4kpjTV3vPyJMiK4L2aLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cfc1797d6c2ba6908a1be1777fd92de16d624494c3ee7932738a8f4717e3338","last_reissued_at":"2026-05-18T01:19:57.661793Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:57.661793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.0647","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8EEHeAhHhfvs2axPC1pAk08cE58CRjTjxh2lkudmg8WsWY+fHmryhVc8iBXyUHEL0Ze5Ge0T8L/Cw5YsnhpTAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:55:25.654716Z"},"content_sha256":"81d122627cf55c2e47aac059c9f1fbad8009d0c2e5a4aa19b7cfc607e439d342","schema_version":"1.0","event_id":"sha256:81d122627cf55c2e47aac059c9f1fbad8009d0c2e5a4aa19b7cfc607e439d342"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:HT6BPF6WYK5GSCFBXYLXP7MS3Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"N\\'eron models of jacobians over base schemes of dimension greater than 1","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"David Holmes","submitted_at":"2014-02-04T07:39:28Z","abstract_excerpt":"We investigate to what extent the theory of N\\'eron models of jacobians and of abel-jacobi maps extends to relative curves over base schemes of dimension greater than 1. We give a necessary and sufficient criterion for the existence of a N\\'eron model. We use this to show that, in general, N\\'eron models do not exist even after making a modification or even alteration of the base. On the other hand, we show that N\\'eron models do exist outside some codimension-2 locus."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0647","kind":"arxiv","version":4},"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":"2026-05-18T01:19:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DZQviAzOmgpbx4vhYSlG1Uc214n3rUbMoZLrxtga/3SMVSBr33mm/Vs4csGQU2UGRXEIPncD6Ns/MBfyBSNwBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T14:55:25.655049Z"},"content_sha256":"5842d97a5047a6aca87f69e480340f3fd40cf6ca7e3449fafd0b155331db357a","schema_version":"1.0","event_id":"sha256:5842d97a5047a6aca87f69e480340f3fd40cf6ca7e3449fafd0b155331db357a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HT6BPF6WYK5GSCFBXYLXP7MS3Y/bundle.json","state_url":"https://pith.science/pith/HT6BPF6WYK5GSCFBXYLXP7MS3Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HT6BPF6WYK5GSCFBXYLXP7MS3Y/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":"2026-06-08T14:55:25Z","links":{"resolver":"https://pith.science/pith/HT6BPF6WYK5GSCFBXYLXP7MS3Y","bundle":"https://pith.science/pith/HT6BPF6WYK5GSCFBXYLXP7MS3Y/bundle.json","state":"https://pith.science/pith/HT6BPF6WYK5GSCFBXYLXP7MS3Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HT6BPF6WYK5GSCFBXYLXP7MS3Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:HT6BPF6WYK5GSCFBXYLXP7MS3Y","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":"45e708eee3dad2acf776c0da71849903236d4db824a46987886fbd277a25b95e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-04T07:39:28Z","title_canon_sha256":"250ae6fd4ca8bb3e370811230a6fe37fcc3d3c41ab5bad200737a8dcc38c4e8e"},"schema_version":"1.0","source":{"id":"1402.0647","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.0647","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"arxiv_version","alias_value":"1402.0647v4","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.0647","created_at":"2026-05-18T01:19:57Z"},{"alias_kind":"pith_short_12","alias_value":"HT6BPF6WYK5G","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_16","alias_value":"HT6BPF6WYK5GSCFB","created_at":"2026-05-18T12:28:30Z"},{"alias_kind":"pith_short_8","alias_value":"HT6BPF6W","created_at":"2026-05-18T12:28:30Z"}],"graph_snapshots":[{"event_id":"sha256:5842d97a5047a6aca87f69e480340f3fd40cf6ca7e3449fafd0b155331db357a","target":"graph","created_at":"2026-05-18T01:19:57Z","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 investigate to what extent the theory of N\\'eron models of jacobians and of abel-jacobi maps extends to relative curves over base schemes of dimension greater than 1. We give a necessary and sufficient criterion for the existence of a N\\'eron model. We use this to show that, in general, N\\'eron models do not exist even after making a modification or even alteration of the base. On the other hand, we show that N\\'eron models do exist outside some codimension-2 locus.","authors_text":"David Holmes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-04T07:39:28Z","title":"N\\'eron models of jacobians over base schemes of dimension greater than 1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.0647","kind":"arxiv","version":4},"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":"sha256:81d122627cf55c2e47aac059c9f1fbad8009d0c2e5a4aa19b7cfc607e439d342","target":"record","created_at":"2026-05-18T01:19:57Z","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":"45e708eee3dad2acf776c0da71849903236d4db824a46987886fbd277a25b95e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-04T07:39:28Z","title_canon_sha256":"250ae6fd4ca8bb3e370811230a6fe37fcc3d3c41ab5bad200737a8dcc38c4e8e"},"schema_version":"1.0","source":{"id":"1402.0647","kind":"arxiv","version":4}},"canonical_sha256":"3cfc1797d6c2ba6908a1be1777fd92de16d624494c3ee7932738a8f4717e3338","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cfc1797d6c2ba6908a1be1777fd92de16d624494c3ee7932738a8f4717e3338","first_computed_at":"2026-05-18T01:19:57.661793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:57.661793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"45FRMrxRY9TjlK/EzPxXGf21wPNiVgc4srkt4DkmuV7GMmdLngQ5u4NtRcaCDh5Ba4kpjTV3vPyJMiK4L2aLAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:57.662228Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.0647","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81d122627cf55c2e47aac059c9f1fbad8009d0c2e5a4aa19b7cfc607e439d342","sha256:5842d97a5047a6aca87f69e480340f3fd40cf6ca7e3449fafd0b155331db357a"],"state_sha256":"a0b080b36b085cdc34eafe7a3159deaa90ce2b8a180a391aecaa8755ec487c2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6LorPzhIaAllyoZP1Em5kJMmhHX7x5/3H3sI4qMJ1A4g1qIUyql8SmMjHHLk3N9WMr51iaNDMFBKlra+XkVFDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T14:55:25.656950Z","bundle_sha256":"2e8c63ebad9660537433797437ef7cc693e070effc7673949c5a9048130972bc"}}