{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:X5Z7OF2V7GC7CK7J4FF5G3NXQ3","short_pith_number":"pith:X5Z7OF2V","canonical_record":{"source":{"id":"1301.1645","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-08T19:23:31Z","cross_cats_sorted":[],"title_canon_sha256":"5014ee94a5728a70ff5a5b299d504a750ce4321ddcafef7c73aec460894c42c3","abstract_canon_sha256":"4655533db9237df47b11a2bb7c47459b2eb5f4b3fe2c97eac1360216e4521270"},"schema_version":"1.0"},"canonical_sha256":"bf73f71755f985f12be9e14bd36db786d3d567b244e26265bf2598e79045ccbf","source":{"kind":"arxiv","id":"1301.1645","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1645","created_at":"2026-05-18T03:14:52Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1645v2","created_at":"2026-05-18T03:14:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1645","created_at":"2026-05-18T03:14:52Z"},{"alias_kind":"pith_short_12","alias_value":"X5Z7OF2V7GC7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X5Z7OF2V7GC7CK7J","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X5Z7OF2V","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:X5Z7OF2V7GC7CK7J4FF5G3NXQ3","target":"record","payload":{"canonical_record":{"source":{"id":"1301.1645","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-08T19:23:31Z","cross_cats_sorted":[],"title_canon_sha256":"5014ee94a5728a70ff5a5b299d504a750ce4321ddcafef7c73aec460894c42c3","abstract_canon_sha256":"4655533db9237df47b11a2bb7c47459b2eb5f4b3fe2c97eac1360216e4521270"},"schema_version":"1.0"},"canonical_sha256":"bf73f71755f985f12be9e14bd36db786d3d567b244e26265bf2598e79045ccbf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:52.929516Z","signature_b64":"xn3QfBD6W/0GVhfY1tC+xH8NSPjfiFYDWE5XvgX6ZNEO15r2cvAOqFBC2qu3N0htNSPrwZSueHpr7KAe/Hs9BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf73f71755f985f12be9e14bd36db786d3d567b244e26265bf2598e79045ccbf","last_reissued_at":"2026-05-18T03:14:52.929073Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:52.929073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.1645","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":"2026-05-18T03:14:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VmLR3GGZgv4XluJdueBnPvS/B1hduP5wj6hUEIdF/i/AES388dCh7z6wcyxMzr5oyv4uY/90bsfelYM7qEgqDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:56:24.296128Z"},"content_sha256":"25a4298a9f376c2d5d07bcf414766e8072e58bd596369ad4ea7a17280ea45b32","schema_version":"1.0","event_id":"sha256:25a4298a9f376c2d5d07bcf414766e8072e58bd596369ad4ea7a17280ea45b32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:X5Z7OF2V7GC7CK7J4FF5G3NXQ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slow epidemic extinction in populations with heterogeneous infection rates","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"C. Buono, F. Vazquez, L. A. Braunstein, P. A. Macri","submitted_at":"2013-01-08T19:23:31Z","abstract_excerpt":"We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals $i$ and $j$ is endowed with an infection rate $\\beta_{ij} = \\lambda w_{ij}$ proportional to the intensity of their contact $w_{ij}$, with a distribution $P(w_{ij})$ taken from face-to-face experiments analyzed in Cattuto $et\\;al.$ (PLoS ONE 5, e11596, 2010). We find an extremely slow decay of the fraction of infected individuals, for a wide range of the control parameter $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1645","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":"2026-05-18T03:14:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1mmGNdoas8BRu3THC89AHcaoG0vTjv4oaFLHpjsMbN+pioCBmd0Ed173ECAUcY2ACsYJfsiBOJmLWB5ZNnR5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:56:24.296595Z"},"content_sha256":"bb55a0d77f6603de3d61d221fdcde4547ae12d3f1a09ca4b83aa9ae2d6c7a56b","schema_version":"1.0","event_id":"sha256:bb55a0d77f6603de3d61d221fdcde4547ae12d3f1a09ca4b83aa9ae2d6c7a56b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X5Z7OF2V7GC7CK7J4FF5G3NXQ3/bundle.json","state_url":"https://pith.science/pith/X5Z7OF2V7GC7CK7J4FF5G3NXQ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X5Z7OF2V7GC7CK7J4FF5G3NXQ3/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":"2026-05-26T13:56:24Z","links":{"resolver":"https://pith.science/pith/X5Z7OF2V7GC7CK7J4FF5G3NXQ3","bundle":"https://pith.science/pith/X5Z7OF2V7GC7CK7J4FF5G3NXQ3/bundle.json","state":"https://pith.science/pith/X5Z7OF2V7GC7CK7J4FF5G3NXQ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X5Z7OF2V7GC7CK7J4FF5G3NXQ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X5Z7OF2V7GC7CK7J4FF5G3NXQ3","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":"4655533db9237df47b11a2bb7c47459b2eb5f4b3fe2c97eac1360216e4521270","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-08T19:23:31Z","title_canon_sha256":"5014ee94a5728a70ff5a5b299d504a750ce4321ddcafef7c73aec460894c42c3"},"schema_version":"1.0","source":{"id":"1301.1645","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.1645","created_at":"2026-05-18T03:14:52Z"},{"alias_kind":"arxiv_version","alias_value":"1301.1645v2","created_at":"2026-05-18T03:14:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.1645","created_at":"2026-05-18T03:14:52Z"},{"alias_kind":"pith_short_12","alias_value":"X5Z7OF2V7GC7","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X5Z7OF2V7GC7CK7J","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X5Z7OF2V","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:bb55a0d77f6603de3d61d221fdcde4547ae12d3f1a09ca4b83aa9ae2d6c7a56b","target":"graph","created_at":"2026-05-18T03:14:52Z","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 explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals $i$ and $j$ is endowed with an infection rate $\\beta_{ij} = \\lambda w_{ij}$ proportional to the intensity of their contact $w_{ij}$, with a distribution $P(w_{ij})$ taken from face-to-face experiments analyzed in Cattuto $et\\;al.$ (PLoS ONE 5, e11596, 2010). We find an extremely slow decay of the fraction of infected individuals, for a wide range of the control parameter $","authors_text":"C. Buono, F. Vazquez, L. A. Braunstein, P. A. Macri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-08T19:23:31Z","title":"Slow epidemic extinction in populations with heterogeneous infection rates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.1645","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":"sha256:25a4298a9f376c2d5d07bcf414766e8072e58bd596369ad4ea7a17280ea45b32","target":"record","created_at":"2026-05-18T03:14:52Z","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":"4655533db9237df47b11a2bb7c47459b2eb5f4b3fe2c97eac1360216e4521270","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-08T19:23:31Z","title_canon_sha256":"5014ee94a5728a70ff5a5b299d504a750ce4321ddcafef7c73aec460894c42c3"},"schema_version":"1.0","source":{"id":"1301.1645","kind":"arxiv","version":2}},"canonical_sha256":"bf73f71755f985f12be9e14bd36db786d3d567b244e26265bf2598e79045ccbf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf73f71755f985f12be9e14bd36db786d3d567b244e26265bf2598e79045ccbf","first_computed_at":"2026-05-18T03:14:52.929073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:52.929073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xn3QfBD6W/0GVhfY1tC+xH8NSPjfiFYDWE5XvgX6ZNEO15r2cvAOqFBC2qu3N0htNSPrwZSueHpr7KAe/Hs9BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:52.929516Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.1645","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25a4298a9f376c2d5d07bcf414766e8072e58bd596369ad4ea7a17280ea45b32","sha256:bb55a0d77f6603de3d61d221fdcde4547ae12d3f1a09ca4b83aa9ae2d6c7a56b"],"state_sha256":"e58dd187568db042a7f7e41115bc119533ed9f2ee2d262a024cab561a9089daf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C4miRjooqtmkqWNQhmU4fQKc+rQCMW5D5YtEXunglTH1u3eb8+TJgOfwOj3h0PCvjamQg/DOOOYpx6RkAeRhDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:56:24.299745Z","bundle_sha256":"7c3f6662f685786118a465317cb04a9d43cce6e37a447e88184257b0c9081609"}}