{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:QR2KSZOUOL6MOU4HSVST3VNYUN","short_pith_number":"pith:QR2KSZOU","canonical_record":{"source":{"id":"1104.4775","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-04-25T19:05:36Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"608cda188190b997a1d141371aa350ed1a6f16b43ce5f3aeacd399fec4a857c6","abstract_canon_sha256":"c40476eb7c320eddee9797baa47ad9230058a5546dffcb1f96dc0e387dbe5d02"},"schema_version":"1.0"},"canonical_sha256":"8474a965d472fcc7538795653dd5b8a35c1d2c213bd45d95a60bb81e58cdbd87","source":{"kind":"arxiv","id":"1104.4775","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4775","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4775v2","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4775","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"QR2KSZOUOL6M","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QR2KSZOUOL6MOU4H","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QR2KSZOU","created_at":"2026-05-18T12:26:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:QR2KSZOUOL6MOU4HSVST3VNYUN","target":"record","payload":{"canonical_record":{"source":{"id":"1104.4775","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-04-25T19:05:36Z","cross_cats_sorted":["stat.AP"],"title_canon_sha256":"608cda188190b997a1d141371aa350ed1a6f16b43ce5f3aeacd399fec4a857c6","abstract_canon_sha256":"c40476eb7c320eddee9797baa47ad9230058a5546dffcb1f96dc0e387dbe5d02"},"schema_version":"1.0"},"canonical_sha256":"8474a965d472fcc7538795653dd5b8a35c1d2c213bd45d95a60bb81e58cdbd87","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:22:00.987575Z","signature_b64":"L5NZ++LKDPAYUWDf3qDId8K0MkYaLm28s0PqfqOurK+5SA5tOHmqkebRZeFghI+wOg1oyd05EI85ZVxWpNn1Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8474a965d472fcc7538795653dd5b8a35c1d2c213bd45d95a60bb81e58cdbd87","last_reissued_at":"2026-05-18T02:22:00.986897Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:22:00.986897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.4775","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":"2026-05-18T02:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DIYg5fNnRYf+TLx81M8aiKpkpfKpYBgDnm+N+b1cgb9hWDYhg8A/gMnQwy2AJtMdFZby0jRa8LwwwWYFLtEuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:09:17.482432Z"},"content_sha256":"e208d506e1ab9ed1684d1ba2912d03fadf5caa3ab8cde64d13e76bae5aa85e18","schema_version":"1.0","event_id":"sha256:e208d506e1ab9ed1684d1ba2912d03fadf5caa3ab8cde64d13e76bae5aa85e18"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:QR2KSZOUOL6MOU4HSVST3VNYUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Of lice and math: using models to understand and control populations of head lice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.AP"],"primary_cat":"q-bio.PE","authors_text":"Mar\\'ia Fabiana Laguna, Sebasti\\'an Risau-Gusman","submitted_at":"2011-04-25T19:05:36Z","abstract_excerpt":"In this paper we use detailed data about the biology of the head louse (pediculus humanus capitis) to build a model of the evolution of head lice colonies. Using theory and computer simulations, we show that the model can be used to assess the impact of the various strategies usually applied to eradicate head lice, both conscious (treatments) and unconscious (grooming). In the case of treatments, we study the difference in performance that arises when they are applied in systematic and non-systematic ways. Using some reasonable simplifying assumptions (as random mixing of human groups and the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4775","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":"2026-05-18T02:22:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dQuKM8Hq0wRszWDoEnFv8V1vLQAHIJGt42uSkLZHadS5HZu1WM02fQU38OKj9GgIuAKwt7Q14X0bsNkgB0iLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T00:09:17.483004Z"},"content_sha256":"36aa9e43fe311183a449075c9a4f21672be8730ec3bf17561f00026d667922b7","schema_version":"1.0","event_id":"sha256:36aa9e43fe311183a449075c9a4f21672be8730ec3bf17561f00026d667922b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QR2KSZOUOL6MOU4HSVST3VNYUN/bundle.json","state_url":"https://pith.science/pith/QR2KSZOUOL6MOU4HSVST3VNYUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QR2KSZOUOL6MOU4HSVST3VNYUN/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":"2026-05-24T00:09:17Z","links":{"resolver":"https://pith.science/pith/QR2KSZOUOL6MOU4HSVST3VNYUN","bundle":"https://pith.science/pith/QR2KSZOUOL6MOU4HSVST3VNYUN/bundle.json","state":"https://pith.science/pith/QR2KSZOUOL6MOU4HSVST3VNYUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QR2KSZOUOL6MOU4HSVST3VNYUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:QR2KSZOUOL6MOU4HSVST3VNYUN","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":"c40476eb7c320eddee9797baa47ad9230058a5546dffcb1f96dc0e387dbe5d02","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-04-25T19:05:36Z","title_canon_sha256":"608cda188190b997a1d141371aa350ed1a6f16b43ce5f3aeacd399fec4a857c6"},"schema_version":"1.0","source":{"id":"1104.4775","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4775","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4775v2","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4775","created_at":"2026-05-18T02:22:00Z"},{"alias_kind":"pith_short_12","alias_value":"QR2KSZOUOL6M","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"QR2KSZOUOL6MOU4H","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"QR2KSZOU","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:36aa9e43fe311183a449075c9a4f21672be8730ec3bf17561f00026d667922b7","target":"graph","created_at":"2026-05-18T02:22:00Z","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":"In this paper we use detailed data about the biology of the head louse (pediculus humanus capitis) to build a model of the evolution of head lice colonies. Using theory and computer simulations, we show that the model can be used to assess the impact of the various strategies usually applied to eradicate head lice, both conscious (treatments) and unconscious (grooming). In the case of treatments, we study the difference in performance that arises when they are applied in systematic and non-systematic ways. Using some reasonable simplifying assumptions (as random mixing of human groups and the ","authors_text":"Mar\\'ia Fabiana Laguna, Sebasti\\'an Risau-Gusman","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-04-25T19:05:36Z","title":"Of lice and math: using models to understand and control populations of head lice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4775","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:e208d506e1ab9ed1684d1ba2912d03fadf5caa3ab8cde64d13e76bae5aa85e18","target":"record","created_at":"2026-05-18T02:22:00Z","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":"c40476eb7c320eddee9797baa47ad9230058a5546dffcb1f96dc0e387dbe5d02","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-04-25T19:05:36Z","title_canon_sha256":"608cda188190b997a1d141371aa350ed1a6f16b43ce5f3aeacd399fec4a857c6"},"schema_version":"1.0","source":{"id":"1104.4775","kind":"arxiv","version":2}},"canonical_sha256":"8474a965d472fcc7538795653dd5b8a35c1d2c213bd45d95a60bb81e58cdbd87","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8474a965d472fcc7538795653dd5b8a35c1d2c213bd45d95a60bb81e58cdbd87","first_computed_at":"2026-05-18T02:22:00.986897Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:00.986897Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L5NZ++LKDPAYUWDf3qDId8K0MkYaLm28s0PqfqOurK+5SA5tOHmqkebRZeFghI+wOg1oyd05EI85ZVxWpNn1Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:00.987575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4775","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e208d506e1ab9ed1684d1ba2912d03fadf5caa3ab8cde64d13e76bae5aa85e18","sha256:36aa9e43fe311183a449075c9a4f21672be8730ec3bf17561f00026d667922b7"],"state_sha256":"15c782deb6b08aae68c5cedc227eda5f62c1603ecb24461ad8f928cd2e50e575"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k2krgsrE/k5lnZInafwCtitAaBsplL37fXj137MzSPjWemJZWaM2pqjSk306W/l1KBGCmaxLRnrR1LW5MxhaDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T00:09:17.486601Z","bundle_sha256":"75c3816828f00cacb1b17beade4ebeed12ee35741e66a9cd8ac1bd8b77f1ab17"}}