{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:JANIKKKMRMCVOF62XP3OQSHR4S","short_pith_number":"pith:JANIKKKM","canonical_record":{"source":{"id":"1104.3699","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-19T10:24:45Z","cross_cats_sorted":["math.HO","math.OA"],"title_canon_sha256":"90087af281b4831fae6113bfd16c94d15e2d38fb0dea20aa56c1e406a17df1df","abstract_canon_sha256":"2f8cb640d42fe20d724578cebfd86ec3df03bbfbfe6505ee18ca0bd1f67c8d20"},"schema_version":"1.0"},"canonical_sha256":"481a85294c8b055717dabbf6e848f1e49af0c8f66d27fd8843cf03deb6dce944","source":{"kind":"arxiv","id":"1104.3699","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3699","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3699v6","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3699","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"pith_short_12","alias_value":"JANIKKKMRMCV","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JANIKKKMRMCVOF62","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JANIKKKM","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:JANIKKKMRMCVOF62XP3OQSHR4S","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3699","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-19T10:24:45Z","cross_cats_sorted":["math.HO","math.OA"],"title_canon_sha256":"90087af281b4831fae6113bfd16c94d15e2d38fb0dea20aa56c1e406a17df1df","abstract_canon_sha256":"2f8cb640d42fe20d724578cebfd86ec3df03bbfbfe6505ee18ca0bd1f67c8d20"},"schema_version":"1.0"},"canonical_sha256":"481a85294c8b055717dabbf6e848f1e49af0c8f66d27fd8843cf03deb6dce944","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:58.149885Z","signature_b64":"FY+Vb7SZY+mc7omv9bYCxrk6otEknJ1ml9a/p4Mw5AC3dwU2ZZVwvt4H0e4WUIL5kcDMcpPk4nAb8tqiGzF6Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"481a85294c8b055717dabbf6e848f1e49af0c8f66d27fd8843cf03deb6dce944","last_reissued_at":"2026-05-18T01:32:58.149253Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:58.149253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3699","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:32:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VICAvKyJw1B9lub33BvUfOUvCRPTWW5+qWWudKQwyPK9xtF7ifHHBwHH0jYGWuFfiNX+TtbBCNns3vYUrf3ADw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:19:16.987333Z"},"content_sha256":"b1690ad56c3e6f497743555c7f6e8f1991651be6b51debd9ef048c58134a4b65","schema_version":"1.0","event_id":"sha256:b1690ad56c3e6f497743555c7f6e8f1991651be6b51debd9ef048c58134a4b65"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:JANIKKKMRMCVOF62XP3OQSHR4S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Alcune Note di Analisi Matematica","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.HO","math.OA"],"primary_cat":"math.CA","authors_text":"Ezio Vasselli","submitted_at":"2011-04-19T10:24:45Z","abstract_excerpt":"Lectures notes (in italian) of some arguments of classical analysis, with exercises. A particular emphasis to functional analysis and elementary operator algebra theory is given, by means of exercises and examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3699","kind":"arxiv","version":6},"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":"2026-05-18T01:32:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bl21VGklXdIvHoSrIVd4Z69rMNgZMX1gbUfca8mqeqB4peXbO8H+LWRlVdW+7/z9CUzKI6dKB41AWYMuIDLyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T07:19:16.987669Z"},"content_sha256":"bfd207d6bb6787432e4d10004e4a7692ee6ab7c0ac8949f66e6990cd634dc927","schema_version":"1.0","event_id":"sha256:bfd207d6bb6787432e4d10004e4a7692ee6ab7c0ac8949f66e6990cd634dc927"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JANIKKKMRMCVOF62XP3OQSHR4S/bundle.json","state_url":"https://pith.science/pith/JANIKKKMRMCVOF62XP3OQSHR4S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JANIKKKMRMCVOF62XP3OQSHR4S/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":"2026-06-28T07:19:16Z","links":{"resolver":"https://pith.science/pith/JANIKKKMRMCVOF62XP3OQSHR4S","bundle":"https://pith.science/pith/JANIKKKMRMCVOF62XP3OQSHR4S/bundle.json","state":"https://pith.science/pith/JANIKKKMRMCVOF62XP3OQSHR4S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JANIKKKMRMCVOF62XP3OQSHR4S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:JANIKKKMRMCVOF62XP3OQSHR4S","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":"2f8cb640d42fe20d724578cebfd86ec3df03bbfbfe6505ee18ca0bd1f67c8d20","cross_cats_sorted":["math.HO","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-19T10:24:45Z","title_canon_sha256":"90087af281b4831fae6113bfd16c94d15e2d38fb0dea20aa56c1e406a17df1df"},"schema_version":"1.0","source":{"id":"1104.3699","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3699","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3699v6","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3699","created_at":"2026-05-18T01:32:58Z"},{"alias_kind":"pith_short_12","alias_value":"JANIKKKMRMCV","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"JANIKKKMRMCVOF62","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"JANIKKKM","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:bfd207d6bb6787432e4d10004e4a7692ee6ab7c0ac8949f66e6990cd634dc927","target":"graph","created_at":"2026-05-18T01:32:58Z","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":"Lectures notes (in italian) of some arguments of classical analysis, with exercises. A particular emphasis to functional analysis and elementary operator algebra theory is given, by means of exercises and examples.","authors_text":"Ezio Vasselli","cross_cats":["math.HO","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-19T10:24:45Z","title":"Alcune Note di Analisi Matematica"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3699","kind":"arxiv","version":6},"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:b1690ad56c3e6f497743555c7f6e8f1991651be6b51debd9ef048c58134a4b65","target":"record","created_at":"2026-05-18T01:32:58Z","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":"2f8cb640d42fe20d724578cebfd86ec3df03bbfbfe6505ee18ca0bd1f67c8d20","cross_cats_sorted":["math.HO","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-04-19T10:24:45Z","title_canon_sha256":"90087af281b4831fae6113bfd16c94d15e2d38fb0dea20aa56c1e406a17df1df"},"schema_version":"1.0","source":{"id":"1104.3699","kind":"arxiv","version":6}},"canonical_sha256":"481a85294c8b055717dabbf6e848f1e49af0c8f66d27fd8843cf03deb6dce944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"481a85294c8b055717dabbf6e848f1e49af0c8f66d27fd8843cf03deb6dce944","first_computed_at":"2026-05-18T01:32:58.149253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:58.149253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FY+Vb7SZY+mc7omv9bYCxrk6otEknJ1ml9a/p4Mw5AC3dwU2ZZVwvt4H0e4WUIL5kcDMcpPk4nAb8tqiGzF6Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:58.149885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3699","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1690ad56c3e6f497743555c7f6e8f1991651be6b51debd9ef048c58134a4b65","sha256:bfd207d6bb6787432e4d10004e4a7692ee6ab7c0ac8949f66e6990cd634dc927"],"state_sha256":"93b7147bb732c6b8bdd43233e1e92d59a54de1ef485d556b2e7433815d036e09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q8QmYDDG9Vad84/03YMPb2sT7l6g677u6ItaLtgz6hTGoukywmSubp7EaRGRLcs15QCsEzv3Y0yoQjBaNqfmCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T07:19:16.989426Z","bundle_sha256":"6970da600466ec08fda46465f00d1ed828de4b5de0d8475f5fc472943177f870"}}