{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BESJ4PTR254JGTS5E3SIDP5MUL","short_pith_number":"pith:BESJ4PTR","canonical_record":{"source":{"id":"1411.6816","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-25T11:10:42Z","cross_cats_sorted":[],"title_canon_sha256":"398200bb2de12ecfc04dd8d38f2f1ab320a0402e00cf95e34e625e0a64ff5114","abstract_canon_sha256":"fb4beba43739f5f10c8bb5ecef318e0ce1e66c6fc1d05850ee73b187874016b2"},"schema_version":"1.0"},"canonical_sha256":"09249e3e71d778934e5d26e481bfaca2e7c72ccb5bf0dc21a3b64975f3ffa108","source":{"kind":"arxiv","id":"1411.6816","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6816","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6816v5","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6816","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"BESJ4PTR254J","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BESJ4PTR254JGTS5","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BESJ4PTR","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BESJ4PTR254JGTS5E3SIDP5MUL","target":"record","payload":{"canonical_record":{"source":{"id":"1411.6816","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-25T11:10:42Z","cross_cats_sorted":[],"title_canon_sha256":"398200bb2de12ecfc04dd8d38f2f1ab320a0402e00cf95e34e625e0a64ff5114","abstract_canon_sha256":"fb4beba43739f5f10c8bb5ecef318e0ce1e66c6fc1d05850ee73b187874016b2"},"schema_version":"1.0"},"canonical_sha256":"09249e3e71d778934e5d26e481bfaca2e7c72ccb5bf0dc21a3b64975f3ffa108","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:00.337053Z","signature_b64":"WcRhXHpC/3bErK7D4E8PDwELxnnVsdq4qHwORdZT4LdCkB2jIwH6bA/ywXQViBQS+v4FXSurASjjAGAqMV/xAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09249e3e71d778934e5d26e481bfaca2e7c72ccb5bf0dc21a3b64975f3ffa108","last_reissued_at":"2026-05-18T01:11:00.336380Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:00.336380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.6816","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G1g46LqaseTZ/PfpLRm5vI/WKKgqMpE8ELm9OKgSXwXlXhj4li+Rp67XvDv/mgr/fWTedon+b2I5OoeWFZa9Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:09:46.537420Z"},"content_sha256":"42047c2741833482a332ce353b4b2debb40a6937c51026cd081a0f413b4d4bcb","schema_version":"1.0","event_id":"sha256:42047c2741833482a332ce353b4b2debb40a6937c51026cd081a0f413b4d4bcb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BESJ4PTR254JGTS5E3SIDP5MUL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Remarks on the arithmetic restricted volumes and the arithmetic base loci","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hideaki Ikoma","submitted_at":"2014-11-25T11:10:42Z","abstract_excerpt":"In this paper, we collect some fundamental properties of the arithmetic restricted volumes (or the arithmetic multiplicities) of the adelically metrized line bundles. The arithmetic restricted volume has the concavity property and characterizes the arithmetic augmented base locus as the null locus. We also show a generalized Fujita approximation for the arithmetic restricted volumes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6816","kind":"arxiv","version":5},"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":"2026-05-18T01:11:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0WicT0AQXhMjak48EVLESZLRKAfmLEsD4t3froTHWwlCPGx99Eib+el3GWZxNnjPgj/PR4C7812C3xxCWQVGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:09:46.537765Z"},"content_sha256":"73a6868fcfb5293e05ffc93f3500c7e21218f8207b516efa036ee95191deda5a","schema_version":"1.0","event_id":"sha256:73a6868fcfb5293e05ffc93f3500c7e21218f8207b516efa036ee95191deda5a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BESJ4PTR254JGTS5E3SIDP5MUL/bundle.json","state_url":"https://pith.science/pith/BESJ4PTR254JGTS5E3SIDP5MUL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BESJ4PTR254JGTS5E3SIDP5MUL/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":"2026-06-25T20:09:46Z","links":{"resolver":"https://pith.science/pith/BESJ4PTR254JGTS5E3SIDP5MUL","bundle":"https://pith.science/pith/BESJ4PTR254JGTS5E3SIDP5MUL/bundle.json","state":"https://pith.science/pith/BESJ4PTR254JGTS5E3SIDP5MUL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BESJ4PTR254JGTS5E3SIDP5MUL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BESJ4PTR254JGTS5E3SIDP5MUL","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":"fb4beba43739f5f10c8bb5ecef318e0ce1e66c6fc1d05850ee73b187874016b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-25T11:10:42Z","title_canon_sha256":"398200bb2de12ecfc04dd8d38f2f1ab320a0402e00cf95e34e625e0a64ff5114"},"schema_version":"1.0","source":{"id":"1411.6816","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.6816","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"arxiv_version","alias_value":"1411.6816v5","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.6816","created_at":"2026-05-18T01:11:00Z"},{"alias_kind":"pith_short_12","alias_value":"BESJ4PTR254J","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BESJ4PTR254JGTS5","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BESJ4PTR","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:73a6868fcfb5293e05ffc93f3500c7e21218f8207b516efa036ee95191deda5a","target":"graph","created_at":"2026-05-18T01:11:00Z","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":"In this paper, we collect some fundamental properties of the arithmetic restricted volumes (or the arithmetic multiplicities) of the adelically metrized line bundles. The arithmetic restricted volume has the concavity property and characterizes the arithmetic augmented base locus as the null locus. We also show a generalized Fujita approximation for the arithmetic restricted volumes.","authors_text":"Hideaki Ikoma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-25T11:10:42Z","title":"Remarks on the arithmetic restricted volumes and the arithmetic base loci"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.6816","kind":"arxiv","version":5},"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":"sha256:42047c2741833482a332ce353b4b2debb40a6937c51026cd081a0f413b4d4bcb","target":"record","created_at":"2026-05-18T01:11:00Z","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":"fb4beba43739f5f10c8bb5ecef318e0ce1e66c6fc1d05850ee73b187874016b2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-25T11:10:42Z","title_canon_sha256":"398200bb2de12ecfc04dd8d38f2f1ab320a0402e00cf95e34e625e0a64ff5114"},"schema_version":"1.0","source":{"id":"1411.6816","kind":"arxiv","version":5}},"canonical_sha256":"09249e3e71d778934e5d26e481bfaca2e7c72ccb5bf0dc21a3b64975f3ffa108","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09249e3e71d778934e5d26e481bfaca2e7c72ccb5bf0dc21a3b64975f3ffa108","first_computed_at":"2026-05-18T01:11:00.336380Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:00.336380Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WcRhXHpC/3bErK7D4E8PDwELxnnVsdq4qHwORdZT4LdCkB2jIwH6bA/ywXQViBQS+v4FXSurASjjAGAqMV/xAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:00.337053Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.6816","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:42047c2741833482a332ce353b4b2debb40a6937c51026cd081a0f413b4d4bcb","sha256:73a6868fcfb5293e05ffc93f3500c7e21218f8207b516efa036ee95191deda5a"],"state_sha256":"d7045c2dbe2b6d003e723734f8531b4cf301378ed3ae21954df9d3a82c7063da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tOnFINBd5N3IPigTiAzAzuYbhiN7w6BoCVKD7wKtS4gDrHuWNLeP6eimekOIB6qolZrYMBjTVWXpSm0jntHLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T20:09:46.539670Z","bundle_sha256":"0c0825b0b7f90cdf1c4294ab9582eac139c4297224c6b2e01ba2065e9966598f"}}