{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:3BUIXI7L2LC3EZ4KER2TJHPUMI","short_pith_number":"pith:3BUIXI7L","schema_version":"1.0","canonical_sha256":"d8688ba3ebd2c5b2678a2475349df462397bead36d6f0d24536763b9ffffb4fc","source":{"kind":"arxiv","id":"1401.0841","version":1},"attestation_state":"computed","paper":{"title":"Rumor processes on $\\N$ and discrete renewal processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nancy L. Garcia, Pablo M. Rodr\\'iguez, Sandro Gallo, Valdivino Vargas Junior","submitted_at":"2014-01-04T19:49:48Z","abstract_excerpt":"We study two rumor processes on $\\N$, the dynamics of which are related to an SI epidemic model with long range transmission. Both models start with one spreader at site $0$ and ignorants at all the other sites of $\\N$, but differ by the transmission mechanism. In one model, the spreaders transmit the information within a random distance on their right, and in the other the ignorants take the information from a spreader within a random distance on their left.\n  We obtain the probability of survival, information on the distribution of the range of the rumor and limit theorems for the proportion"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1401.0841","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-01-04T19:49:48Z","cross_cats_sorted":[],"title_canon_sha256":"901ceb62df474805445fbb051efc66e654f044819f367e3df6d38020ef2fa38d","abstract_canon_sha256":"3affaf55093308bc131cc8248ebc7900e282c1913613dde239bb1612552cccd5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:34.004713Z","signature_b64":"5W0l2wBRz9xMOyNpiZEblK8udftrJv2li5eWPDVm4QLYr5TH+VFYgj1yxhdgHZByZ8ZKJgHw1Vy3KVDIs4OtDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d8688ba3ebd2c5b2678a2475349df462397bead36d6f0d24536763b9ffffb4fc","last_reissued_at":"2026-05-18T01:45:34.004137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:34.004137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Rumor processes on $\\N$ and discrete renewal processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nancy L. Garcia, Pablo M. Rodr\\'iguez, Sandro Gallo, Valdivino Vargas Junior","submitted_at":"2014-01-04T19:49:48Z","abstract_excerpt":"We study two rumor processes on $\\N$, the dynamics of which are related to an SI epidemic model with long range transmission. Both models start with one spreader at site $0$ and ignorants at all the other sites of $\\N$, but differ by the transmission mechanism. In one model, the spreaders transmit the information within a random distance on their right, and in the other the ignorants take the information from a spreader within a random distance on their left.\n  We obtain the probability of survival, information on the distribution of the range of the rumor and limit theorems for the proportion"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0841","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1401.0841","created_at":"2026-05-18T01:45:34.004230+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.0841v1","created_at":"2026-05-18T01:45:34.004230+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0841","created_at":"2026-05-18T01:45:34.004230+00:00"},{"alias_kind":"pith_short_12","alias_value":"3BUIXI7L2LC3","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"3BUIXI7L2LC3EZ4K","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"3BUIXI7L","created_at":"2026-05-18T12:28:11.866339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI","json":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI.json","graph_json":"https://pith.science/api/pith-number/3BUIXI7L2LC3EZ4KER2TJHPUMI/graph.json","events_json":"https://pith.science/api/pith-number/3BUIXI7L2LC3EZ4KER2TJHPUMI/events.json","paper":"https://pith.science/paper/3BUIXI7L"},"agent_actions":{"view_html":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI","download_json":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI.json","view_paper":"https://pith.science/paper/3BUIXI7L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.0841&json=true","fetch_graph":"https://pith.science/api/pith-number/3BUIXI7L2LC3EZ4KER2TJHPUMI/graph.json","fetch_events":"https://pith.science/api/pith-number/3BUIXI7L2LC3EZ4KER2TJHPUMI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI/action/storage_attestation","attest_author":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI/action/author_attestation","sign_citation":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI/action/citation_signature","submit_replication":"https://pith.science/pith/3BUIXI7L2LC3EZ4KER2TJHPUMI/action/replication_record"}},"created_at":"2026-05-18T01:45:34.004230+00:00","updated_at":"2026-05-18T01:45:34.004230+00:00"}