{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:IUIN5VAGSNQQGLUJN6563I6OY3","short_pith_number":"pith:IUIN5VAG","canonical_record":{"source":{"id":"1802.08943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-25T02:06:55Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"a75126d7728caff04688a371eb8489fbed2e082c1152090d5734120b415d0238","abstract_canon_sha256":"e3db64314fb67d1f41922fd83171cdc78dc2bd58a325f713cd7de765e7930b38"},"schema_version":"1.0"},"canonical_sha256":"4510ded4069361032e896fbbeda3cec6e3042af222c007e89fe70933c5664a27","source":{"kind":"arxiv","id":"1802.08943","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.08943","created_at":"2026-05-18T00:22:35Z"},{"alias_kind":"arxiv_version","alias_value":"1802.08943v1","created_at":"2026-05-18T00:22:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.08943","created_at":"2026-05-18T00:22:35Z"},{"alias_kind":"pith_short_12","alias_value":"IUIN5VAGSNQQ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IUIN5VAGSNQQGLUJ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IUIN5VAG","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:IUIN5VAGSNQQGLUJN6563I6OY3","target":"record","payload":{"canonical_record":{"source":{"id":"1802.08943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-25T02:06:55Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"a75126d7728caff04688a371eb8489fbed2e082c1152090d5734120b415d0238","abstract_canon_sha256":"e3db64314fb67d1f41922fd83171cdc78dc2bd58a325f713cd7de765e7930b38"},"schema_version":"1.0"},"canonical_sha256":"4510ded4069361032e896fbbeda3cec6e3042af222c007e89fe70933c5664a27","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:35.970753Z","signature_b64":"nGsdoVJwdx6XX2miQYd2oWwU+C5fFZoQ+w/ktwIFR7xqoeb7yd1XhNiQY2RuzFgyTraYxucoACcpk1xcT+SwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4510ded4069361032e896fbbeda3cec6e3042af222c007e89fe70933c5664a27","last_reissued_at":"2026-05-18T00:22:35.970052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:35.970052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.08943","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":"2026-05-18T00:22:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XEhx723nUWDmcUtCfQRtgGdFaluOcXUDc0yAiJHVWQDUB6OnybxbMWb9BJENDmMcgjwub5nulkEfXzTi7gM8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T04:12:02.899819Z"},"content_sha256":"58ab775397e4607187ae5e8c974e9e7b912fb26cf794307fab836258ded7c9f5","schema_version":"1.0","event_id":"sha256:58ab775397e4607187ae5e8c974e9e7b912fb26cf794307fab836258ded7c9f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:IUIN5VAGSNQQGLUJN6563I6OY3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Model for Innovation Diffusion with Intergroup Suppression","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Anirban Chakraborti, Joseph Whitmeyer, Syed S. Husain","submitted_at":"2018-02-25T02:06:55Z","abstract_excerpt":"We present a new model for the diffusion of innovation. Here, the population is segmented into distinct groups. Adoption by a particular group of some cultural product may be inhibited both by large numbers of its own members already having adopted but also, in particular, by members of another group having adopted. Intergroup migration is also permitted. We determine the equilibrium points and carry out stability analysis for the model for a two-group population. We also simulate a discrete time version of the model. Lastly, we present data on tablet use in eight countries from 2012-2016 and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.08943","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":"2026-05-18T00:22:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qX8xWK2MpVoqtilHueHjuWLELs0zM83atuyQcsI+INEvsX0S9NfeABifZOMy+7IjdWzTVhm5OCnsKwSh6gFFAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T04:12:02.900162Z"},"content_sha256":"245049be2c09b2c95e39cf55c3ba80d9e9e60c94d2d65f53ecf6460837af3319","schema_version":"1.0","event_id":"sha256:245049be2c09b2c95e39cf55c3ba80d9e9e60c94d2d65f53ecf6460837af3319"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IUIN5VAGSNQQGLUJN6563I6OY3/bundle.json","state_url":"https://pith.science/pith/IUIN5VAGSNQQGLUJN6563I6OY3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IUIN5VAGSNQQGLUJN6563I6OY3/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":"2026-06-27T04:12:02Z","links":{"resolver":"https://pith.science/pith/IUIN5VAGSNQQGLUJN6563I6OY3","bundle":"https://pith.science/pith/IUIN5VAGSNQQGLUJN6563I6OY3/bundle.json","state":"https://pith.science/pith/IUIN5VAGSNQQGLUJN6563I6OY3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IUIN5VAGSNQQGLUJN6563I6OY3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:IUIN5VAGSNQQGLUJN6563I6OY3","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":"e3db64314fb67d1f41922fd83171cdc78dc2bd58a325f713cd7de765e7930b38","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-25T02:06:55Z","title_canon_sha256":"a75126d7728caff04688a371eb8489fbed2e082c1152090d5734120b415d0238"},"schema_version":"1.0","source":{"id":"1802.08943","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.08943","created_at":"2026-05-18T00:22:35Z"},{"alias_kind":"arxiv_version","alias_value":"1802.08943v1","created_at":"2026-05-18T00:22:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.08943","created_at":"2026-05-18T00:22:35Z"},{"alias_kind":"pith_short_12","alias_value":"IUIN5VAGSNQQ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"IUIN5VAGSNQQGLUJ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"IUIN5VAG","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:245049be2c09b2c95e39cf55c3ba80d9e9e60c94d2d65f53ecf6460837af3319","target":"graph","created_at":"2026-05-18T00:22:35Z","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 present a new model for the diffusion of innovation. Here, the population is segmented into distinct groups. Adoption by a particular group of some cultural product may be inhibited both by large numbers of its own members already having adopted but also, in particular, by members of another group having adopted. Intergroup migration is also permitted. We determine the equilibrium points and carry out stability analysis for the model for a two-group population. We also simulate a discrete time version of the model. Lastly, we present data on tablet use in eight countries from 2012-2016 and ","authors_text":"Anirban Chakraborti, Joseph Whitmeyer, Syed S. Husain","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-25T02:06:55Z","title":"A Model for Innovation Diffusion with Intergroup Suppression"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.08943","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":"sha256:58ab775397e4607187ae5e8c974e9e7b912fb26cf794307fab836258ded7c9f5","target":"record","created_at":"2026-05-18T00:22:35Z","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":"e3db64314fb67d1f41922fd83171cdc78dc2bd58a325f713cd7de765e7930b38","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-25T02:06:55Z","title_canon_sha256":"a75126d7728caff04688a371eb8489fbed2e082c1152090d5734120b415d0238"},"schema_version":"1.0","source":{"id":"1802.08943","kind":"arxiv","version":1}},"canonical_sha256":"4510ded4069361032e896fbbeda3cec6e3042af222c007e89fe70933c5664a27","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4510ded4069361032e896fbbeda3cec6e3042af222c007e89fe70933c5664a27","first_computed_at":"2026-05-18T00:22:35.970052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:35.970052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nGsdoVJwdx6XX2miQYd2oWwU+C5fFZoQ+w/ktwIFR7xqoeb7yd1XhNiQY2RuzFgyTraYxucoACcpk1xcT+SwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:35.970753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.08943","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58ab775397e4607187ae5e8c974e9e7b912fb26cf794307fab836258ded7c9f5","sha256:245049be2c09b2c95e39cf55c3ba80d9e9e60c94d2d65f53ecf6460837af3319"],"state_sha256":"c4658147f745b477f5a15fa8a1f6901effe26d579b6f0c451a03837ce0bf9f5d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gMCo4XRMUWSllHuv4kEtcjTH/11YATdWmoUwf61/q46VXxCz8LuIdlsmtRtqDGgADFqMWlFYvciaORNwGqmFAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T04:12:02.902150Z","bundle_sha256":"6a18385cdf1fd9611286fbf112bcaa0ef6d09c81aff97dada225d14f49328ddd"}}