{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6PR6QPIXNTOHCDNE7G43IZSOAO","short_pith_number":"pith:6PR6QPIX","canonical_record":{"source":{"id":"1307.5511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-07-21T09:54:39Z","cross_cats_sorted":[],"title_canon_sha256":"645f7fd32cf23bf6bbf16f0489975384d047cda315656a36f7de69391e38b4a1","abstract_canon_sha256":"e051d9e6dd826fa5d3a3160ec909f30e26ff907f627263e9b15a6e4dad997f30"},"schema_version":"1.0"},"canonical_sha256":"f3e3e83d176cdc710da4f9b9b4664e03851e6bf7d4fc0ae6a7ffe417324d77cb","source":{"kind":"arxiv","id":"1307.5511","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5511","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5511v1","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5511","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"6PR6QPIXNTOH","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6PR6QPIXNTOHCDNE","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6PR6QPIX","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6PR6QPIXNTOHCDNE7G43IZSOAO","target":"record","payload":{"canonical_record":{"source":{"id":"1307.5511","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-07-21T09:54:39Z","cross_cats_sorted":[],"title_canon_sha256":"645f7fd32cf23bf6bbf16f0489975384d047cda315656a36f7de69391e38b4a1","abstract_canon_sha256":"e051d9e6dd826fa5d3a3160ec909f30e26ff907f627263e9b15a6e4dad997f30"},"schema_version":"1.0"},"canonical_sha256":"f3e3e83d176cdc710da4f9b9b4664e03851e6bf7d4fc0ae6a7ffe417324d77cb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:55.460558Z","signature_b64":"18uv6ccL3sTulwXSMDPJ3Dbu2DNCQX49rMcIxloF5n3Od2XuLuCtZast4iu/coE5EpEz5u/aoHXtz4f/du+CBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3e3e83d176cdc710da4f9b9b4664e03851e6bf7d4fc0ae6a7ffe417324d77cb","last_reissued_at":"2026-05-18T03:17:55.459698Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:55.459698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.5511","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":"2026-05-18T03:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p85hEOgd7twmqUiKJRBrdKw/Lf82t6rfE7NEmUJXKXva23kk6TpnDareXw/xYyOo8kxLIlSkYNZo4KgEtYrIBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:25:48.172722Z"},"content_sha256":"faae5175217fb48248ad1146b717aa458e19ec9b916a2efd078f55eef9f6f58c","schema_version":"1.0","event_id":"sha256:faae5175217fb48248ad1146b717aa458e19ec9b916a2efd078f55eef9f6f58c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6PR6QPIXNTOHCDNE7G43IZSOAO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Faster is More Different: Mean-Field Dynamics of Innovation Diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Mina Kim, Seung Ki Baek, Xavier Durang","submitted_at":"2013-07-21T09:54:39Z","abstract_excerpt":"Based on a recent model of paradigm shifts by Bornholdt et al., we studied mean-field opinion dynamics in an infinite population where an infinite number of ideas compete simultaneously with their values publicly known. We found that a highly innovative society is not characterized by heavy concentration in highly valued ideas: Rather, ideas are more broadly distributed in a more innovative society with faster progress, provided that the rate of adoption is constant, which suggests a positive correlation between innovation and technological disparity. Furthermore, the distribution is generally"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5511","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":"2026-05-18T03:17:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VwQjooJpRRLEIPE0/rmohRHOyIYkQdlaasiTVelt3vP2rK/g2maicz+e6vw0Q/VAsLJY+HYDZKptcbutvcLaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:25:48.173480Z"},"content_sha256":"e83dcb3f8b4381db91b7c5a1e34f5640aab9f467ee555388bfc90efa412871ae","schema_version":"1.0","event_id":"sha256:e83dcb3f8b4381db91b7c5a1e34f5640aab9f467ee555388bfc90efa412871ae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6PR6QPIXNTOHCDNE7G43IZSOAO/bundle.json","state_url":"https://pith.science/pith/6PR6QPIXNTOHCDNE7G43IZSOAO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6PR6QPIXNTOHCDNE7G43IZSOAO/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":"2026-06-05T20:25:48Z","links":{"resolver":"https://pith.science/pith/6PR6QPIXNTOHCDNE7G43IZSOAO","bundle":"https://pith.science/pith/6PR6QPIXNTOHCDNE7G43IZSOAO/bundle.json","state":"https://pith.science/pith/6PR6QPIXNTOHCDNE7G43IZSOAO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6PR6QPIXNTOHCDNE7G43IZSOAO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6PR6QPIXNTOHCDNE7G43IZSOAO","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":"e051d9e6dd826fa5d3a3160ec909f30e26ff907f627263e9b15a6e4dad997f30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-07-21T09:54:39Z","title_canon_sha256":"645f7fd32cf23bf6bbf16f0489975384d047cda315656a36f7de69391e38b4a1"},"schema_version":"1.0","source":{"id":"1307.5511","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.5511","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"arxiv_version","alias_value":"1307.5511v1","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.5511","created_at":"2026-05-18T03:17:55Z"},{"alias_kind":"pith_short_12","alias_value":"6PR6QPIXNTOH","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6PR6QPIXNTOHCDNE","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6PR6QPIX","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:e83dcb3f8b4381db91b7c5a1e34f5640aab9f467ee555388bfc90efa412871ae","target":"graph","created_at":"2026-05-18T03:17:55Z","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":"Based on a recent model of paradigm shifts by Bornholdt et al., we studied mean-field opinion dynamics in an infinite population where an infinite number of ideas compete simultaneously with their values publicly known. We found that a highly innovative society is not characterized by heavy concentration in highly valued ideas: Rather, ideas are more broadly distributed in a more innovative society with faster progress, provided that the rate of adoption is constant, which suggests a positive correlation between innovation and technological disparity. Furthermore, the distribution is generally","authors_text":"Mina Kim, Seung Ki Baek, Xavier Durang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-07-21T09:54:39Z","title":"Faster is More Different: Mean-Field Dynamics of Innovation Diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.5511","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:faae5175217fb48248ad1146b717aa458e19ec9b916a2efd078f55eef9f6f58c","target":"record","created_at":"2026-05-18T03:17:55Z","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":"e051d9e6dd826fa5d3a3160ec909f30e26ff907f627263e9b15a6e4dad997f30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-07-21T09:54:39Z","title_canon_sha256":"645f7fd32cf23bf6bbf16f0489975384d047cda315656a36f7de69391e38b4a1"},"schema_version":"1.0","source":{"id":"1307.5511","kind":"arxiv","version":1}},"canonical_sha256":"f3e3e83d176cdc710da4f9b9b4664e03851e6bf7d4fc0ae6a7ffe417324d77cb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3e3e83d176cdc710da4f9b9b4664e03851e6bf7d4fc0ae6a7ffe417324d77cb","first_computed_at":"2026-05-18T03:17:55.459698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:55.459698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"18uv6ccL3sTulwXSMDPJ3Dbu2DNCQX49rMcIxloF5n3Od2XuLuCtZast4iu/coE5EpEz5u/aoHXtz4f/du+CBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:55.460558Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.5511","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:faae5175217fb48248ad1146b717aa458e19ec9b916a2efd078f55eef9f6f58c","sha256:e83dcb3f8b4381db91b7c5a1e34f5640aab9f467ee555388bfc90efa412871ae"],"state_sha256":"e8f8dc01eedf66d786bef7c62143e98add9aef0355a870fdef940ab3842a63c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vZwTLrUuGBpSwBEluO269Z6u08hyeTLSKKdxywCA1lgw0MSoquH8YS4bD347ZEGgjEKxudFQbt1aAHy5HnjRDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:25:48.177531Z","bundle_sha256":"f8685434080154907d6d85ee00ef99902477bd05e5d9a1f430fd4098ee6680eb"}}