{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:LXY3Z2GKUA4T35R4PSKA43IHPH","short_pith_number":"pith:LXY3Z2GK","canonical_record":{"source":{"id":"1711.08602","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-23T07:55:08Z","cross_cats_sorted":[],"title_canon_sha256":"2be87de6503cf02d05d75d8a0eecb14b93a87ba9049616d07e79940350f728d1","abstract_canon_sha256":"68ef4391cf1a8d4f841717882169a31b7e5fa202a6480eecccbd0ebff511f186"},"schema_version":"1.0"},"canonical_sha256":"5df1bce8caa0393df63c7c940e6d0779cb15f692f5e0d0c4ab9e3947d198fef1","source":{"kind":"arxiv","id":"1711.08602","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08602","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08602v1","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08602","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"pith_short_12","alias_value":"LXY3Z2GKUA4T","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LXY3Z2GKUA4T35R4","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LXY3Z2GK","created_at":"2026-05-18T12:31:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:LXY3Z2GKUA4T35R4PSKA43IHPH","target":"record","payload":{"canonical_record":{"source":{"id":"1711.08602","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-23T07:55:08Z","cross_cats_sorted":[],"title_canon_sha256":"2be87de6503cf02d05d75d8a0eecb14b93a87ba9049616d07e79940350f728d1","abstract_canon_sha256":"68ef4391cf1a8d4f841717882169a31b7e5fa202a6480eecccbd0ebff511f186"},"schema_version":"1.0"},"canonical_sha256":"5df1bce8caa0393df63c7c940e6d0779cb15f692f5e0d0c4ab9e3947d198fef1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:30.845201Z","signature_b64":"tQPSw8nBNRB3J9P2FhuHqMWeJWLan23Kryxwl/WCmOGWdSZxH784ZnlU/JRfd1vLAPUwItxJMHu03oWc+VORDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5df1bce8caa0393df63c7c940e6d0779cb15f692f5e0d0c4ab9e3947d198fef1","last_reissued_at":"2026-05-18T00:00:30.844476Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:30.844476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1711.08602","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":"2026-05-18T00:00:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FK8W7FmuQHXp408xKs0X9htxXrbET5A+jKR1YUXg4tLQOmtqwndPJtm0lj2613KpiYhyFs4vqAVzGfWjAPNmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:06:19.378344Z"},"content_sha256":"fbfdeb2649e4040aef66aa973f5992f870d4ec4f37b75a402c0f5a8ca8888a90","schema_version":"1.0","event_id":"sha256:fbfdeb2649e4040aef66aa973f5992f870d4ec4f37b75a402c0f5a8ca8888a90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:LXY3Z2GKUA4T35R4PSKA43IHPH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A special class of fuzzy measures: Choquet integral and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Anna Rita Sambucini, Domenico Candeloro, Radko Mesiar","submitted_at":"2017-11-23T07:55:08Z","abstract_excerpt":"Core of an economy and Walras equilibria are considered for a product space $X \\times [0,1]$ using the Choquet integral with respect to a fuzzy measure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08602","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":"2026-05-18T00:00:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ll7FVqXKF6A3DKo3KTskN0LIOD8YZx8jg73tZMvQIMZ5jKAiG0S8dNv+IuPXsbAH/CikY96MArjTI+ms0CjAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T00:06:19.378703Z"},"content_sha256":"c6f128d2a42e085f701b89d72ca8cd94bbad43eda9ec939753f2aa6687149ea7","schema_version":"1.0","event_id":"sha256:c6f128d2a42e085f701b89d72ca8cd94bbad43eda9ec939753f2aa6687149ea7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXY3Z2GKUA4T35R4PSKA43IHPH/bundle.json","state_url":"https://pith.science/pith/LXY3Z2GKUA4T35R4PSKA43IHPH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXY3Z2GKUA4T35R4PSKA43IHPH/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":"2026-05-30T00:06:19Z","links":{"resolver":"https://pith.science/pith/LXY3Z2GKUA4T35R4PSKA43IHPH","bundle":"https://pith.science/pith/LXY3Z2GKUA4T35R4PSKA43IHPH/bundle.json","state":"https://pith.science/pith/LXY3Z2GKUA4T35R4PSKA43IHPH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXY3Z2GKUA4T35R4PSKA43IHPH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:LXY3Z2GKUA4T35R4PSKA43IHPH","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":"68ef4391cf1a8d4f841717882169a31b7e5fa202a6480eecccbd0ebff511f186","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-23T07:55:08Z","title_canon_sha256":"2be87de6503cf02d05d75d8a0eecb14b93a87ba9049616d07e79940350f728d1"},"schema_version":"1.0","source":{"id":"1711.08602","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.08602","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"arxiv_version","alias_value":"1711.08602v1","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.08602","created_at":"2026-05-18T00:00:30Z"},{"alias_kind":"pith_short_12","alias_value":"LXY3Z2GKUA4T","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_16","alias_value":"LXY3Z2GKUA4T35R4","created_at":"2026-05-18T12:31:28Z"},{"alias_kind":"pith_short_8","alias_value":"LXY3Z2GK","created_at":"2026-05-18T12:31:28Z"}],"graph_snapshots":[{"event_id":"sha256:c6f128d2a42e085f701b89d72ca8cd94bbad43eda9ec939753f2aa6687149ea7","target":"graph","created_at":"2026-05-18T00:00:30Z","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":"Core of an economy and Walras equilibria are considered for a product space $X \\times [0,1]$ using the Choquet integral with respect to a fuzzy measure.","authors_text":"Anna Rita Sambucini, Domenico Candeloro, Radko Mesiar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-23T07:55:08Z","title":"A special class of fuzzy measures: Choquet integral and applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08602","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:fbfdeb2649e4040aef66aa973f5992f870d4ec4f37b75a402c0f5a8ca8888a90","target":"record","created_at":"2026-05-18T00:00:30Z","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":"68ef4391cf1a8d4f841717882169a31b7e5fa202a6480eecccbd0ebff511f186","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-11-23T07:55:08Z","title_canon_sha256":"2be87de6503cf02d05d75d8a0eecb14b93a87ba9049616d07e79940350f728d1"},"schema_version":"1.0","source":{"id":"1711.08602","kind":"arxiv","version":1}},"canonical_sha256":"5df1bce8caa0393df63c7c940e6d0779cb15f692f5e0d0c4ab9e3947d198fef1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5df1bce8caa0393df63c7c940e6d0779cb15f692f5e0d0c4ab9e3947d198fef1","first_computed_at":"2026-05-18T00:00:30.844476Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:30.844476Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tQPSw8nBNRB3J9P2FhuHqMWeJWLan23Kryxwl/WCmOGWdSZxH784ZnlU/JRfd1vLAPUwItxJMHu03oWc+VORDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:30.845201Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.08602","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fbfdeb2649e4040aef66aa973f5992f870d4ec4f37b75a402c0f5a8ca8888a90","sha256:c6f128d2a42e085f701b89d72ca8cd94bbad43eda9ec939753f2aa6687149ea7"],"state_sha256":"636158dd5d707b9d6dfb57400ab30000ab0a3dd3559b9df16de6ce24067d6ebd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kayCv0fofuGGnYEZaRCyVuVlSty44Rj4m4SE4B0x+upbsTQCIT13jSQLp8F8Oplax2RUCXS2G1RdpPmsdaDMCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T00:06:19.380887Z","bundle_sha256":"3b7b9cd6aa9985fb38501c08bd10f2d4a39ac360e125a178a1d9667f7e0acb83"}}