{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:QWUOLUWMNI2GAG6O7NSGXBPHZE","short_pith_number":"pith:QWUOLUWM","canonical_record":{"source":{"id":"alg-geom/9706005","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1997-06-16T23:54:32Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"08521497368a018be6b7d8dee340f569b6cf745693e4ce2f2e1f50ee8f1b3e10","abstract_canon_sha256":"952c718cdd60cc0f632cda912e2267ce673f020a4042947b383c630daed04668"},"schema_version":"1.0"},"canonical_sha256":"85a8e5d2cc6a34601bcefb646b85e7c90775d9ef1cab5c2c5f6f788e392c3f26","source":{"kind":"arxiv","id":"alg-geom/9706005","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:QWUOLUWMNI2GAG6O7NSGXBPHZE","target":"record","payload":{"canonical_record":{"source":{"id":"alg-geom/9706005","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"alg-geom","submitted_at":"1997-06-16T23:54:32Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"08521497368a018be6b7d8dee340f569b6cf745693e4ce2f2e1f50ee8f1b3e10","abstract_canon_sha256":"952c718cdd60cc0f632cda912e2267ce673f020a4042947b383c630daed04668"},"schema_version":"1.0"},"canonical_sha256":"85a8e5d2cc6a34601bcefb646b85e7c90775d9ef1cab5c2c5f6f788e392c3f26","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:50:36.515588Z","signature_b64":"9c0SmW7tmvWDqGPmNB01O4S1f6oqD7erp6Rm9QaB8chqvU0YPrl5YBpZA4Wu1uGS6bmtmbI/uxn/+YiBH8W7AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85a8e5d2cc6a34601bcefb646b85e7c90775d9ef1cab5c2c5f6f788e392c3f26","last_reissued_at":"2026-07-04T15:50:36.515178Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:50:36.515178Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"alg-geom/9706005","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":"2026-07-04T15:50:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHVIKDTeulkDsJ8dpeWiTKNypz0ymjnHXCaw2Z76IBM4Ij346FkyDBjYhVRd85/grlR2o31bOSkKsLPK/1UBDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:43:50.385269Z"},"content_sha256":"2560716f83ae593ea82c5c778348cc21ba824c22c22880fddb968e0c2d1cb799","schema_version":"1.0","event_id":"sha256:2560716f83ae593ea82c5c778348cc21ba824c22c22880fddb968e0c2d1cb799"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:QWUOLUWMNI2GAG6O7NSGXBPHZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"G\\'eom\\'etrie d'Arakelov des vari\\'et\\'es toriques et fibr\\'es en droites int\\'egrables","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"alg-geom","authors_text":"France), V. Maillot (CNRS","submitted_at":"1997-06-16T23:54:32Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9706005","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/alg-geom/9706005/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:50:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OLAwa4b0sitQ/7PdBDBL0A7FEOCo+1IbIKBVaW0mz0ANkAcfmeljuZ1K+cJDHB5etkeYCQUPYLyhhOmsUWtGCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T03:43:50.385783Z"},"content_sha256":"3efe2ac8d254661af9fedb54f9cc5ed23762644d7b9486266a95bb7fce9e045a","schema_version":"1.0","event_id":"sha256:3efe2ac8d254661af9fedb54f9cc5ed23762644d7b9486266a95bb7fce9e045a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWUOLUWMNI2GAG6O7NSGXBPHZE/bundle.json","state_url":"https://pith.science/pith/QWUOLUWMNI2GAG6O7NSGXBPHZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWUOLUWMNI2GAG6O7NSGXBPHZE/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":"2026-08-11T03:43:50Z","links":{"resolver":"https://pith.science/pith/QWUOLUWMNI2GAG6O7NSGXBPHZE","bundle":"https://pith.science/pith/QWUOLUWMNI2GAG6O7NSGXBPHZE/bundle.json","state":"https://pith.science/pith/QWUOLUWMNI2GAG6O7NSGXBPHZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWUOLUWMNI2GAG6O7NSGXBPHZE/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iCn/Ntic/aUGDKVd7biKuITN7YKmxGH3SxXMWF3B4fjS+rkgS3BPaoa1t7lov2Jy0ByQenAmyYH1mhVQH5QKBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T03:43:50.389711Z","bundle_sha256":"84914eb84846d82f7a7f68b6a3bb51159ca1cbff9d77e67f2b0ad304ad448b1a"}}