{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:3RDNVZX7PUDPFM7GINAWFED62E","short_pith_number":"pith:3RDNVZX7","canonical_record":{"source":{"id":"math/9604218","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"1996-04-24T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"cece1d47b3be7ef593fc12ee5bf1330d9ad3602495fd8b013a216e653c35ce65","abstract_canon_sha256":"e022b0c55f1f761f026ecd6013f40b75f0bb4ba3a3a1bb0394e958923850c181"},"schema_version":"1.0"},"canonical_sha256":"dc46dae6ff7d06f2b3e6434162907ed115779a7a9578d0e6f3ebfdef81f10ac4","source":{"kind":"arxiv","id":"math/9604218","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9604218","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9604218v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9604218","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"3RDNVZX7PUDP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"3RDNVZX7PUDPFM7G","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"3RDNVZX7","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:3RDNVZX7PUDPFM7GINAWFED62E","target":"record","payload":{"canonical_record":{"source":{"id":"math/9604218","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.FA","submitted_at":"1996-04-24T00:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"cece1d47b3be7ef593fc12ee5bf1330d9ad3602495fd8b013a216e653c35ce65","abstract_canon_sha256":"e022b0c55f1f761f026ecd6013f40b75f0bb4ba3a3a1bb0394e958923850c181"},"schema_version":"1.0"},"canonical_sha256":"dc46dae6ff7d06f2b3e6434162907ed115779a7a9578d0e6f3ebfdef81f10ac4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:47.633841Z","signature_b64":"hqGlwC2p41K6obOFKvF6wZnBJob+z9ET1HUyT06bLwXd7TIgqhcEJeYh4VgyXNlBHZ1e+tWk2cSIe7w5SAy2Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc46dae6ff7d06f2b3e6434162907ed115779a7a9578d0e6f3ebfdef81f10ac4","last_reissued_at":"2026-05-18T01:05:47.633210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:47.633210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/9604218","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lJZyhcytc11R6YD68Z8y5wiUtM7nf+27VpttMuD/eL1IIHu0BGi+4qKJkUhBBaMyjeoThq4S4JRWAskF8UbTDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T06:41:05.548044Z"},"content_sha256":"d796cc4ae364d2a6e5f0ddf69eca68bd9c16be22a5b801eed96e827355dc227b","schema_version":"1.0","event_id":"sha256:d796cc4ae364d2a6e5f0ddf69eca68bd9c16be22a5b801eed96e827355dc227b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:3RDNVZX7PUDPFM7GINAWFED62E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Local properties of accessible injective operator ideals","license":"","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Frank Oertel","submitted_at":"1996-04-24T00:00:00Z","abstract_excerpt":"In addition to Pisier's counterexample of a non-accessible maximal Banach ideal, we will give a large class of maximal Banach ideals which {\\it{are accessible}}. The first step is implied by the observation that a \"good behaviour\" of trace duality, which is canonically induced by conjugate operator ideals can be extended to adjoint Banach ideals, if and only if these adjoint ideals satisfy an accessibility condition (theorem 3.1). This observation leads in a natural way to a characterization of accessible injective Banach ideals, where we also recognize the appearance of the ideal of {\\it{abso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9604218","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":"2026-05-18T01:05:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ibnR3SuKmwsw90sBLj0dIx5MGJKdU+MrhFKYNklR/yTq2DRnEKG8/wzErMjrbvC/Wv6PQd97QhX9a0qHV9AaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T06:41:05.548410Z"},"content_sha256":"e3f019fc14f40335bffd290f09f150f690afad153a3b1ffac23a26cabe0ac484","schema_version":"1.0","event_id":"sha256:e3f019fc14f40335bffd290f09f150f690afad153a3b1ffac23a26cabe0ac484"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3RDNVZX7PUDPFM7GINAWFED62E/bundle.json","state_url":"https://pith.science/pith/3RDNVZX7PUDPFM7GINAWFED62E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3RDNVZX7PUDPFM7GINAWFED62E/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":"2026-06-21T06:41:05Z","links":{"resolver":"https://pith.science/pith/3RDNVZX7PUDPFM7GINAWFED62E","bundle":"https://pith.science/pith/3RDNVZX7PUDPFM7GINAWFED62E/bundle.json","state":"https://pith.science/pith/3RDNVZX7PUDPFM7GINAWFED62E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3RDNVZX7PUDPFM7GINAWFED62E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:3RDNVZX7PUDPFM7GINAWFED62E","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":"e022b0c55f1f761f026ecd6013f40b75f0bb4ba3a3a1bb0394e958923850c181","cross_cats_sorted":[],"license":"","primary_cat":"math.FA","submitted_at":"1996-04-24T00:00:00Z","title_canon_sha256":"cece1d47b3be7ef593fc12ee5bf1330d9ad3602495fd8b013a216e653c35ce65"},"schema_version":"1.0","source":{"id":"math/9604218","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/9604218","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/9604218v1","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/9604218","created_at":"2026-05-18T01:05:47Z"},{"alias_kind":"pith_short_12","alias_value":"3RDNVZX7PUDP","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"3RDNVZX7PUDPFM7G","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"3RDNVZX7","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:e3f019fc14f40335bffd290f09f150f690afad153a3b1ffac23a26cabe0ac484","target":"graph","created_at":"2026-05-18T01:05:47Z","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 addition to Pisier's counterexample of a non-accessible maximal Banach ideal, we will give a large class of maximal Banach ideals which {\\it{are accessible}}. The first step is implied by the observation that a \"good behaviour\" of trace duality, which is canonically induced by conjugate operator ideals can be extended to adjoint Banach ideals, if and only if these adjoint ideals satisfy an accessibility condition (theorem 3.1). This observation leads in a natural way to a characterization of accessible injective Banach ideals, where we also recognize the appearance of the ideal of {\\it{abso","authors_text":"Frank Oertel","cross_cats":[],"headline":"","license":"","primary_cat":"math.FA","submitted_at":"1996-04-24T00:00:00Z","title":"Local properties of accessible injective operator ideals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/9604218","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:d796cc4ae364d2a6e5f0ddf69eca68bd9c16be22a5b801eed96e827355dc227b","target":"record","created_at":"2026-05-18T01:05:47Z","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":"e022b0c55f1f761f026ecd6013f40b75f0bb4ba3a3a1bb0394e958923850c181","cross_cats_sorted":[],"license":"","primary_cat":"math.FA","submitted_at":"1996-04-24T00:00:00Z","title_canon_sha256":"cece1d47b3be7ef593fc12ee5bf1330d9ad3602495fd8b013a216e653c35ce65"},"schema_version":"1.0","source":{"id":"math/9604218","kind":"arxiv","version":1}},"canonical_sha256":"dc46dae6ff7d06f2b3e6434162907ed115779a7a9578d0e6f3ebfdef81f10ac4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc46dae6ff7d06f2b3e6434162907ed115779a7a9578d0e6f3ebfdef81f10ac4","first_computed_at":"2026-05-18T01:05:47.633210Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:47.633210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hqGlwC2p41K6obOFKvF6wZnBJob+z9ET1HUyT06bLwXd7TIgqhcEJeYh4VgyXNlBHZ1e+tWk2cSIe7w5SAy2Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:47.633841Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/9604218","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d796cc4ae364d2a6e5f0ddf69eca68bd9c16be22a5b801eed96e827355dc227b","sha256:e3f019fc14f40335bffd290f09f150f690afad153a3b1ffac23a26cabe0ac484"],"state_sha256":"6d406e65c7031d95daa4e945fcd8d323972396914ae1c219c77685240dd15206"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nXwfOV8IV9Ab4yrEBovL0zqlOy9JaQYC2zEM7NQNn4GkRCvoOP3CHvfo5FjMRCTLRGEmugDyoSj3CI3rP9O9Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T06:41:05.550342Z","bundle_sha256":"fa02d309c9f50a5e40e4e914dfd06e4e4e218085a7c73a952b2afad55f035032"}}