{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IAK72AYXYXW56RWZIYXMZGEFYO","short_pith_number":"pith:IAK72AYX","canonical_record":{"source":{"id":"1307.7200","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-27T01:23:18Z","cross_cats_sorted":[],"title_canon_sha256":"b70fbc34db81603836dcf253dc8353361b4a77d6ad569f0651f7b1246c73e404","abstract_canon_sha256":"fc438f7cd2bb150a5efc2fbc2a86a63858baec4353ea6250a9cde79404e048b8"},"schema_version":"1.0"},"canonical_sha256":"4015fd0317c5eddf46d9462ecc9885c39a7b6dfa7e9a8ea944c88e2e15c2ad9b","source":{"kind":"arxiv","id":"1307.7200","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7200","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7200v3","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7200","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"IAK72AYXYXW5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IAK72AYXYXW56RWZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IAK72AYX","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IAK72AYXYXW56RWZIYXMZGEFYO","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7200","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-27T01:23:18Z","cross_cats_sorted":[],"title_canon_sha256":"b70fbc34db81603836dcf253dc8353361b4a77d6ad569f0651f7b1246c73e404","abstract_canon_sha256":"fc438f7cd2bb150a5efc2fbc2a86a63858baec4353ea6250a9cde79404e048b8"},"schema_version":"1.0"},"canonical_sha256":"4015fd0317c5eddf46d9462ecc9885c39a7b6dfa7e9a8ea944c88e2e15c2ad9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:18.406646Z","signature_b64":"NzRqnfNY3TX6RnSA7Y7xcaQp5nwumrsa9kiWJX4JlwI7zOI8zHKherRkEZBrfEZnz67S+v2lVhrz7r4J0yIOCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4015fd0317c5eddf46d9462ecc9885c39a7b6dfa7e9a8ea944c88e2e15c2ad9b","last_reissued_at":"2026-05-18T02:55:18.406182Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:18.406182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7200","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SA36EaJG8XSN0sodTuKxfICIEO48492rAmeA9thiRDCrUfWCIGcks4tf0H25MujD0aqGggCDXI1/qis/W/AlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T22:59:41.346003Z"},"content_sha256":"0239f9edd10d34b1e4873d88b88210019bafa8fc6a1e6623c8eb76e3bd9e1f7a","schema_version":"1.0","event_id":"sha256:0239f9edd10d34b1e4873d88b88210019bafa8fc6a1e6623c8eb76e3bd9e1f7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IAK72AYXYXW56RWZIYXMZGEFYO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"A. Soubeyran, G. C. Bento, J. X. Cruz Neto, P.A. Soares Jr","submitted_at":"2013-07-27T01:23:18Z","abstract_excerpt":"In this paper we present a sufficient condition for the existence of a solution for an equilibrium problem on an Hadamard manifold and under suitable assumptions on the sectional curvature, we propose a framework for the convergence analysis of a proximal point algorithm to solve this equilibrium problem in finite time. Finally we offer an application to personal equilibrum problems as behavioral traps problems, using a recent \"variational rationality\" approach of human behavior."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7200","kind":"arxiv","version":3},"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":"2026-05-18T02:55:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sxgFBv08twVVjvpZ4IcFrE1zIeQthqYZWXZeaAa+Uzh53ZARqj+OSn/Xk2+N3WNZ+pqNwsYnP9CxGjuZ4Ry2Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T22:59:41.346727Z"},"content_sha256":"96f5f1cfc183907aeb78c71dc7b663226f3d8ad92b03c7ff1d08b6972f309063","schema_version":"1.0","event_id":"sha256:96f5f1cfc183907aeb78c71dc7b663226f3d8ad92b03c7ff1d08b6972f309063"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IAK72AYXYXW56RWZIYXMZGEFYO/bundle.json","state_url":"https://pith.science/pith/IAK72AYXYXW56RWZIYXMZGEFYO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IAK72AYXYXW56RWZIYXMZGEFYO/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":"2026-06-05T22:59:41Z","links":{"resolver":"https://pith.science/pith/IAK72AYXYXW56RWZIYXMZGEFYO","bundle":"https://pith.science/pith/IAK72AYXYXW56RWZIYXMZGEFYO/bundle.json","state":"https://pith.science/pith/IAK72AYXYXW56RWZIYXMZGEFYO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IAK72AYXYXW56RWZIYXMZGEFYO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IAK72AYXYXW56RWZIYXMZGEFYO","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":"fc438f7cd2bb150a5efc2fbc2a86a63858baec4353ea6250a9cde79404e048b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-27T01:23:18Z","title_canon_sha256":"b70fbc34db81603836dcf253dc8353361b4a77d6ad569f0651f7b1246c73e404"},"schema_version":"1.0","source":{"id":"1307.7200","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7200","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7200v3","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7200","created_at":"2026-05-18T02:55:18Z"},{"alias_kind":"pith_short_12","alias_value":"IAK72AYXYXW5","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IAK72AYXYXW56RWZ","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IAK72AYX","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:96f5f1cfc183907aeb78c71dc7b663226f3d8ad92b03c7ff1d08b6972f309063","target":"graph","created_at":"2026-05-18T02:55:18Z","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 present a sufficient condition for the existence of a solution for an equilibrium problem on an Hadamard manifold and under suitable assumptions on the sectional curvature, we propose a framework for the convergence analysis of a proximal point algorithm to solve this equilibrium problem in finite time. Finally we offer an application to personal equilibrum problems as behavioral traps problems, using a recent \"variational rationality\" approach of human behavior.","authors_text":"A. Soubeyran, G. C. Bento, J. X. Cruz Neto, P.A. Soares Jr","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-27T01:23:18Z","title":"Behavioral Traps and the Equilibrium Problem on Hadamard Manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7200","kind":"arxiv","version":3},"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":"sha256:0239f9edd10d34b1e4873d88b88210019bafa8fc6a1e6623c8eb76e3bd9e1f7a","target":"record","created_at":"2026-05-18T02:55:18Z","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":"fc438f7cd2bb150a5efc2fbc2a86a63858baec4353ea6250a9cde79404e048b8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-07-27T01:23:18Z","title_canon_sha256":"b70fbc34db81603836dcf253dc8353361b4a77d6ad569f0651f7b1246c73e404"},"schema_version":"1.0","source":{"id":"1307.7200","kind":"arxiv","version":3}},"canonical_sha256":"4015fd0317c5eddf46d9462ecc9885c39a7b6dfa7e9a8ea944c88e2e15c2ad9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4015fd0317c5eddf46d9462ecc9885c39a7b6dfa7e9a8ea944c88e2e15c2ad9b","first_computed_at":"2026-05-18T02:55:18.406182Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:18.406182Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NzRqnfNY3TX6RnSA7Y7xcaQp5nwumrsa9kiWJX4JlwI7zOI8zHKherRkEZBrfEZnz67S+v2lVhrz7r4J0yIOCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:18.406646Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7200","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0239f9edd10d34b1e4873d88b88210019bafa8fc6a1e6623c8eb76e3bd9e1f7a","sha256:96f5f1cfc183907aeb78c71dc7b663226f3d8ad92b03c7ff1d08b6972f309063"],"state_sha256":"2fb9c5b9c0c2c486b0d63277d30fb1333ed92bca3124a9b66cfe4819bc3edfe3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VoKIsoFaz4qZm++gSLlpT7/JVHA8FdMX3rQhcyfZBOCz/1PtmGT81Iq0XzyapnIdRJalKxb5OPHS2tqqOQXrDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T22:59:41.350101Z","bundle_sha256":"54179c16cdd5597ba99a8b838a7de969502619e079e377be44e30f6808c25d50"}}