{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5ADE76CDOW6ZDX7VPYP3JJKHP5","short_pith_number":"pith:5ADE76CD","canonical_record":{"source":{"id":"1610.00274","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.EC","submitted_at":"2016-10-02T13:01:22Z","cross_cats_sorted":[],"title_canon_sha256":"8b4026aef63a6f58aca452bf06d70a572e60ce8f938e91aa7ff63b495c1837e2","abstract_canon_sha256":"4f79e689e89ebba94f8b90172085bbc579d9a8366fd92f36612b81ace435c35c"},"schema_version":"1.0"},"canonical_sha256":"e8064ff84375bd91dff57e1fb4a5477f62ac0ce87a1b8b5dd7eceb56f4b2ae55","source":{"kind":"arxiv","id":"1610.00274","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00274","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00274v2","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00274","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"pith_short_12","alias_value":"5ADE76CDOW6Z","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"5ADE76CDOW6ZDX7V","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"5ADE76CD","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5ADE76CDOW6ZDX7VPYP3JJKHP5","target":"record","payload":{"canonical_record":{"source":{"id":"1610.00274","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.EC","submitted_at":"2016-10-02T13:01:22Z","cross_cats_sorted":[],"title_canon_sha256":"8b4026aef63a6f58aca452bf06d70a572e60ce8f938e91aa7ff63b495c1837e2","abstract_canon_sha256":"4f79e689e89ebba94f8b90172085bbc579d9a8366fd92f36612b81ace435c35c"},"schema_version":"1.0"},"canonical_sha256":"e8064ff84375bd91dff57e1fb4a5477f62ac0ce87a1b8b5dd7eceb56f4b2ae55","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:43.425536Z","signature_b64":"SLTp3Lk+hLMEx2v98/OtWhVIZZqLUTnbdiPSa2+IrjpbRmBSugs+EqRAyAdYdCK9Q95lseaKGO2Lv0j9PppkCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8064ff84375bd91dff57e1fb4a5477f62ac0ce87a1b8b5dd7eceb56f4b2ae55","last_reissued_at":"2026-05-18T00:43:43.424988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:43.424988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.00274","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:43:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CQNGEmj/W9nUwNFedRCP4dl09RBHIC1x7gZ1tQlpxADk0kQ6Ntr9ajZqP5rmAWdzVWJgWC11husuuYVgTdgUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:48:08.706654Z"},"content_sha256":"53744b6987020ba063739a1171eff7bd20a9c97782c3d3cd40f1d2cf07259401","schema_version":"1.0","event_id":"sha256:53744b6987020ba063739a1171eff7bd20a9c97782c3d3cd40f1d2cf07259401"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5ADE76CDOW6ZDX7VPYP3JJKHP5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The complex dynamics of products and its asymptotic properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-fin.EC","authors_text":"Andrea Zaccaria, Luciano Pietronero, Matthieu Cristelli, Orazio Angelini","submitted_at":"2016-10-02T13:01:22Z","abstract_excerpt":"We analyse global export data within the Economic Complexity framework. We couple the new economic dimension Complexity, which captures how sophisticated products are, with an index called logPRODY, a measure of the income of the respective exporters. Products' aggregate motion is treated as a 2-dimensional dynamical system in the Complexity-logPRODY plane. We find that this motion can be explained by a quantitative model involving the competition on the markets, that can be mapped as a scalar field on the Complexity-logPRODY plane and acts in a way akin to a potential. This explains the movem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00274","kind":"arxiv","version":2},"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":"2026-05-18T00:43:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q9ZDp9igEeOKj/b2K1olQnKgCOUVfWZgfoNPBslB1Dey2S14AUEBwrZdqwmYnVkZgXH3DjLXy3isG0jJOdrsDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:48:08.707029Z"},"content_sha256":"01ebfca395cf921c0fd27583e13a570a0219e5c6114fbd2311e2a1259b59a160","schema_version":"1.0","event_id":"sha256:01ebfca395cf921c0fd27583e13a570a0219e5c6114fbd2311e2a1259b59a160"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ADE76CDOW6ZDX7VPYP3JJKHP5/bundle.json","state_url":"https://pith.science/pith/5ADE76CDOW6ZDX7VPYP3JJKHP5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ADE76CDOW6ZDX7VPYP3JJKHP5/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":"2026-06-05T18:48:08Z","links":{"resolver":"https://pith.science/pith/5ADE76CDOW6ZDX7VPYP3JJKHP5","bundle":"https://pith.science/pith/5ADE76CDOW6ZDX7VPYP3JJKHP5/bundle.json","state":"https://pith.science/pith/5ADE76CDOW6ZDX7VPYP3JJKHP5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ADE76CDOW6ZDX7VPYP3JJKHP5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5ADE76CDOW6ZDX7VPYP3JJKHP5","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":"4f79e689e89ebba94f8b90172085bbc579d9a8366fd92f36612b81ace435c35c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.EC","submitted_at":"2016-10-02T13:01:22Z","title_canon_sha256":"8b4026aef63a6f58aca452bf06d70a572e60ce8f938e91aa7ff63b495c1837e2"},"schema_version":"1.0","source":{"id":"1610.00274","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.00274","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.00274v2","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.00274","created_at":"2026-05-18T00:43:43Z"},{"alias_kind":"pith_short_12","alias_value":"5ADE76CDOW6Z","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"5ADE76CDOW6ZDX7V","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"5ADE76CD","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:01ebfca395cf921c0fd27583e13a570a0219e5c6114fbd2311e2a1259b59a160","target":"graph","created_at":"2026-05-18T00:43:43Z","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":"We analyse global export data within the Economic Complexity framework. We couple the new economic dimension Complexity, which captures how sophisticated products are, with an index called logPRODY, a measure of the income of the respective exporters. Products' aggregate motion is treated as a 2-dimensional dynamical system in the Complexity-logPRODY plane. We find that this motion can be explained by a quantitative model involving the competition on the markets, that can be mapped as a scalar field on the Complexity-logPRODY plane and acts in a way akin to a potential. This explains the movem","authors_text":"Andrea Zaccaria, Luciano Pietronero, Matthieu Cristelli, Orazio Angelini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.EC","submitted_at":"2016-10-02T13:01:22Z","title":"The complex dynamics of products and its asymptotic properties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.00274","kind":"arxiv","version":2},"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":"sha256:53744b6987020ba063739a1171eff7bd20a9c97782c3d3cd40f1d2cf07259401","target":"record","created_at":"2026-05-18T00:43:43Z","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":"4f79e689e89ebba94f8b90172085bbc579d9a8366fd92f36612b81ace435c35c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.EC","submitted_at":"2016-10-02T13:01:22Z","title_canon_sha256":"8b4026aef63a6f58aca452bf06d70a572e60ce8f938e91aa7ff63b495c1837e2"},"schema_version":"1.0","source":{"id":"1610.00274","kind":"arxiv","version":2}},"canonical_sha256":"e8064ff84375bd91dff57e1fb4a5477f62ac0ce87a1b8b5dd7eceb56f4b2ae55","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8064ff84375bd91dff57e1fb4a5477f62ac0ce87a1b8b5dd7eceb56f4b2ae55","first_computed_at":"2026-05-18T00:43:43.424988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:43.424988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SLTp3Lk+hLMEx2v98/OtWhVIZZqLUTnbdiPSa2+IrjpbRmBSugs+EqRAyAdYdCK9Q95lseaKGO2Lv0j9PppkCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:43.425536Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.00274","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:53744b6987020ba063739a1171eff7bd20a9c97782c3d3cd40f1d2cf07259401","sha256:01ebfca395cf921c0fd27583e13a570a0219e5c6114fbd2311e2a1259b59a160"],"state_sha256":"af8161bc0eb23bbcbe9f04b289ed075c36eebb72879f2cd8eaf71c196eee1599"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HRgk4gx93wD8Ych/7Y/t0ePBmI6oN3kuee9AoJ1v2mzA5MgaoX3QuPE6Rsfjk8/SHrZcmQFyddY+4qq1gFPRCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:48:08.709044Z","bundle_sha256":"5764d2afec5cee73c3f8d0394172f9399860bff186168ff62a0bc28335266f21"}}