{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5CN4EDF27JBKFJ6IIXR5LJRWJK","short_pith_number":"pith:5CN4EDF2","canonical_record":{"source":{"id":"1103.5362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-28T14:15:10Z","cross_cats_sorted":["cs.SI","nlin.AO"],"title_canon_sha256":"94ef27c635755ea22648d75c08cf86cc0fe1ad33df634c0e2da3bc87633fba82","abstract_canon_sha256":"d933b970d45944a8dcc639807df7b8c73474c9da55019b52aebf0b7c6ca12096"},"schema_version":"1.0"},"canonical_sha256":"e89bc20cbafa42a2a7c845e3d5a6364a94bd4396d1fe64890ae162f44e2543a8","source":{"kind":"arxiv","id":"1103.5362","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5362","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5362v1","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5362","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"5CN4EDF27JBK","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5CN4EDF27JBKFJ6I","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5CN4EDF2","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5CN4EDF27JBKFJ6IIXR5LJRWJK","target":"record","payload":{"canonical_record":{"source":{"id":"1103.5362","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-28T14:15:10Z","cross_cats_sorted":["cs.SI","nlin.AO"],"title_canon_sha256":"94ef27c635755ea22648d75c08cf86cc0fe1ad33df634c0e2da3bc87633fba82","abstract_canon_sha256":"d933b970d45944a8dcc639807df7b8c73474c9da55019b52aebf0b7c6ca12096"},"schema_version":"1.0"},"canonical_sha256":"e89bc20cbafa42a2a7c845e3d5a6364a94bd4396d1fe64890ae162f44e2543a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:31.887766Z","signature_b64":"/u/V1wRhZ1g4cawAR75VZNvhcqpwh+0Ug0Hcvbs+XSoq2RVFvIua/sASPYqNiy+R21BPAhws0blnxjm4thUwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e89bc20cbafa42a2a7c845e3d5a6364a94bd4396d1fe64890ae162f44e2543a8","last_reissued_at":"2026-05-18T03:46:31.886240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:31.886240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1103.5362","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":"2026-05-18T03:46:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pXcrSmoTKwwXv+9PSod4q7vA/8MIRl0CoKla4WAQT01pDZ2ntkRYHGgVkGcgq8mgGujqXtlwBYGXo1mIqGbSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:15:12.002468Z"},"content_sha256":"dba3eddb530eceec80118f6b224939b936f08918399c8e1cfc9212f10866a7eb","schema_version":"1.0","event_id":"sha256:dba3eddb530eceec80118f6b224939b936f08918399c8e1cfc9212f10866a7eb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5CN4EDF27JBKFJ6IIXR5LJRWJK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Verhulst-Lotka-Volterra (VLV) model of ideological struggles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","nlin.AO"],"primary_cat":"physics.soc-ph","authors_text":"Marcel R. Ausloos, Nikolay K. Vitanov, Zlatinka I. Dimitrova","submitted_at":"2011-03-28T14:15:10Z","abstract_excerpt":"Let the population of e.g. a country where some opinion struggle occurs be varying in time, according to Verhulst equation. Consider next some competition between opinions such as the dynamics be described by Lotka and Volterra equations. Two kinds of influences can be used, in such a model, for describing the dynamics of an agent opinion conversion: this can occur (i) either by means of mass communication tools, under some external field influence, or (ii) by means of direct interactions between agents. It results, among other features, that change(s) in environmental conditions can prevent t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5362","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":"2026-05-18T03:46:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5NPttiBX9JjLypCA6gjiqpOfUx6ioC8uFHsBMyNCsYOFKToc0mytXpai/RSE9fd8PC+TWIV00XFWrtZbGVjaBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:15:12.003123Z"},"content_sha256":"8519d15de133e56702e4273a7cf49220744519c7f36c3b060a6c3a191e84b59c","schema_version":"1.0","event_id":"sha256:8519d15de133e56702e4273a7cf49220744519c7f36c3b060a6c3a191e84b59c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CN4EDF27JBKFJ6IIXR5LJRWJK/bundle.json","state_url":"https://pith.science/pith/5CN4EDF27JBKFJ6IIXR5LJRWJK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CN4EDF27JBKFJ6IIXR5LJRWJK/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":"2026-05-28T19:15:12Z","links":{"resolver":"https://pith.science/pith/5CN4EDF27JBKFJ6IIXR5LJRWJK","bundle":"https://pith.science/pith/5CN4EDF27JBKFJ6IIXR5LJRWJK/bundle.json","state":"https://pith.science/pith/5CN4EDF27JBKFJ6IIXR5LJRWJK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CN4EDF27JBKFJ6IIXR5LJRWJK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5CN4EDF27JBKFJ6IIXR5LJRWJK","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":"d933b970d45944a8dcc639807df7b8c73474c9da55019b52aebf0b7c6ca12096","cross_cats_sorted":["cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-28T14:15:10Z","title_canon_sha256":"94ef27c635755ea22648d75c08cf86cc0fe1ad33df634c0e2da3bc87633fba82"},"schema_version":"1.0","source":{"id":"1103.5362","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1103.5362","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1103.5362v1","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1103.5362","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"5CN4EDF27JBK","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5CN4EDF27JBKFJ6I","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5CN4EDF2","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:8519d15de133e56702e4273a7cf49220744519c7f36c3b060a6c3a191e84b59c","target":"graph","created_at":"2026-05-18T03:46:31Z","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":"Let the population of e.g. a country where some opinion struggle occurs be varying in time, according to Verhulst equation. Consider next some competition between opinions such as the dynamics be described by Lotka and Volterra equations. Two kinds of influences can be used, in such a model, for describing the dynamics of an agent opinion conversion: this can occur (i) either by means of mass communication tools, under some external field influence, or (ii) by means of direct interactions between agents. It results, among other features, that change(s) in environmental conditions can prevent t","authors_text":"Marcel R. Ausloos, Nikolay K. Vitanov, Zlatinka I. Dimitrova","cross_cats":["cs.SI","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-28T14:15:10Z","title":"Verhulst-Lotka-Volterra (VLV) model of ideological struggles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.5362","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:dba3eddb530eceec80118f6b224939b936f08918399c8e1cfc9212f10866a7eb","target":"record","created_at":"2026-05-18T03:46:31Z","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":"d933b970d45944a8dcc639807df7b8c73474c9da55019b52aebf0b7c6ca12096","cross_cats_sorted":["cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2011-03-28T14:15:10Z","title_canon_sha256":"94ef27c635755ea22648d75c08cf86cc0fe1ad33df634c0e2da3bc87633fba82"},"schema_version":"1.0","source":{"id":"1103.5362","kind":"arxiv","version":1}},"canonical_sha256":"e89bc20cbafa42a2a7c845e3d5a6364a94bd4396d1fe64890ae162f44e2543a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e89bc20cbafa42a2a7c845e3d5a6364a94bd4396d1fe64890ae162f44e2543a8","first_computed_at":"2026-05-18T03:46:31.886240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:31.886240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/u/V1wRhZ1g4cawAR75VZNvhcqpwh+0Ug0Hcvbs+XSoq2RVFvIua/sASPYqNiy+R21BPAhws0blnxjm4thUwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:31.887766Z","signed_message":"canonical_sha256_bytes"},"source_id":"1103.5362","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba3eddb530eceec80118f6b224939b936f08918399c8e1cfc9212f10866a7eb","sha256:8519d15de133e56702e4273a7cf49220744519c7f36c3b060a6c3a191e84b59c"],"state_sha256":"781609992d8a665b799c49820bdf8fa84585434f79acfd51bc584ffea59c022c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KbYUnC50Gst1JSTDEFlPXSAVbSIpqJxZNPf+5m6TGsZTnqGc4Gw3UHFHBQ3r2frO9wYa+HiE4kI3lsHt/XfyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:15:12.008101Z","bundle_sha256":"c17de7bc4be386551f91bb918be7632c2b193337434f8a24ae0ebdccbf1e222e"}}