{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:QWUOLUWMNI2GAG6O7NSGXBPHZE","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":"952c718cdd60cc0f632cda912e2267ce673f020a4042947b383c630daed04668","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-06-16T23:54:32Z","title_canon_sha256":"08521497368a018be6b7d8dee340f569b6cf745693e4ce2f2e1f50ee8f1b3e10"},"schema_version":"1.0","source":{"id":"alg-geom/9706005","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9706005","created_at":"2026-07-04T15:50:36Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9706005v2","created_at":"2026-07-04T15:50:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9706005","created_at":"2026-07-04T15:50:36Z"},{"alias_kind":"pith_short_12","alias_value":"QWUOLUWMNI2G","created_at":"2026-07-04T15:50:36Z"},{"alias_kind":"pith_short_16","alias_value":"QWUOLUWMNI2GAG6O","created_at":"2026-07-04T15:50:36Z"},{"alias_kind":"pith_short_8","alias_value":"QWUOLUWM","created_at":"2026-07-04T15:50:36Z"}],"graph_snapshots":[{"event_id":"sha256:3efe2ac8d254661af9fedb54f9cc5ed23762644d7b9486266a95bb7fce9e045a","target":"graph","created_at":"2026-07-04T15:50:36Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/alg-geom/9706005/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"En nous appuyant sur une construction due \\`a Bedford et Taylor, et certains r\\'esultats r\\'ecents de Demailly, nous pr\\'esentons une extension (partielle) de la g\\'eom\\'etrie d'Arakelov aux fibr\\'es en droites int\\'egrables. (Ces derniers sont les fibr\\'es en droites hermitiens sur une vari\\'et\\'e arithm\\'etique $X$ pouvant se d\\'ecomposer sous la forme $\\ov{E} = \\ov{E}_{1}\\otimes (\\ov{E}_{2})^{-1}$, o\\`u $\\ov{E}_{1}$ et $\\ov{E}_{2}$ sont des fibr\\'es en droites munis \\`a l'infini d'une m\\'etrique continue approchable uniform\\'ement sur $X(C)$ par des m\\'etriques positives $C^{\\infty}$). Nous","authors_text":"France), V. Maillot (CNRS","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1997-06-16T23:54:32Z","title":"G\\'eom\\'etrie d'Arakelov des vari\\'et\\'es toriques et fibr\\'es en droites int\\'egrables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9706005","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":"sha256:2560716f83ae593ea82c5c778348cc21ba824c22c22880fddb968e0c2d1cb799","target":"record","created_at":"2026-07-04T15:50:36Z","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":"952c718cdd60cc0f632cda912e2267ce673f020a4042947b383c630daed04668","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1997-06-16T23:54:32Z","title_canon_sha256":"08521497368a018be6b7d8dee340f569b6cf745693e4ce2f2e1f50ee8f1b3e10"},"schema_version":"1.0","source":{"id":"alg-geom/9706005","kind":"arxiv","version":2}},"canonical_sha256":"85a8e5d2cc6a34601bcefb646b85e7c90775d9ef1cab5c2c5f6f788e392c3f26","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85a8e5d2cc6a34601bcefb646b85e7c90775d9ef1cab5c2c5f6f788e392c3f26","first_computed_at":"2026-07-04T15:50:36.515178Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:50:36.515178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9c0SmW7tmvWDqGPmNB01O4S1f6oqD7erp6Rm9QaB8chqvU0YPrl5YBpZA4Wu1uGS6bmtmbI/uxn/+YiBH8W7AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:50:36.515588Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9706005","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2560716f83ae593ea82c5c778348cc21ba824c22c22880fddb968e0c2d1cb799","sha256:3efe2ac8d254661af9fedb54f9cc5ed23762644d7b9486266a95bb7fce9e045a"],"state_sha256":"04a477f794558c0609a4ed67e0d7d240aeadbba7daf0e964c0b5177bc855b526"}