{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:2TKP27EDR6T62AFNCJSK45OAZM","short_pith_number":"pith:2TKP27ED","canonical_record":{"source":{"id":"1807.06740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-18T02:23:27Z","cross_cats_sorted":[],"title_canon_sha256":"c4800b1b780175501cf5d7fba5b7c169af34ae23d37c5e12119f0399d97d74bf","abstract_canon_sha256":"a6388256661222a8f2452ef179a01d67fd48eb98ff5ca13ad5ac8672b32ac58b"},"schema_version":"1.0"},"canonical_sha256":"d4d4fd7c838fa7ed00ad1264ae75c0cb33e4a4e8db0ed0555fad618f1a599789","source":{"kind":"arxiv","id":"1807.06740","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06740","created_at":"2026-05-17T23:59:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06740v1","created_at":"2026-05-17T23:59:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06740","created_at":"2026-05-17T23:59:52Z"},{"alias_kind":"pith_short_12","alias_value":"2TKP27EDR6T6","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2TKP27EDR6T62AFN","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2TKP27ED","created_at":"2026-05-18T12:32:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:2TKP27EDR6T62AFNCJSK45OAZM","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06740","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-18T02:23:27Z","cross_cats_sorted":[],"title_canon_sha256":"c4800b1b780175501cf5d7fba5b7c169af34ae23d37c5e12119f0399d97d74bf","abstract_canon_sha256":"a6388256661222a8f2452ef179a01d67fd48eb98ff5ca13ad5ac8672b32ac58b"},"schema_version":"1.0"},"canonical_sha256":"d4d4fd7c838fa7ed00ad1264ae75c0cb33e4a4e8db0ed0555fad618f1a599789","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:52.185386Z","signature_b64":"sn7eOszT3Q9LkrIRKlJRvBlxCB4YfQrKGdEY51SSZppCL05CQ7aTCm94DjpQ1wWYk+KaGQHL/CFGh1XO+HglBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4d4fd7c838fa7ed00ad1264ae75c0cb33e4a4e8db0ed0555fad618f1a599789","last_reissued_at":"2026-05-17T23:59:52.184978Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:52.184978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06740","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":"2026-05-17T23:59:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lDm0XnWVJn2CAAI25yNn+2/wTQpc1NmMeQ4apuYz9Dnvabh2tue984T0gPHLL2+8oFfidUAXyaB03dW+0oPGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:02:55.225851Z"},"content_sha256":"1da3715e8e199db30ec0cb697a4c83e3656f3e7b89e9ded080294478c48aeb7b","schema_version":"1.0","event_id":"sha256:1da3715e8e199db30ec0cb697a4c83e3656f3e7b89e9ded080294478c48aeb7b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:2TKP27EDR6T62AFNCJSK45OAZM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Optimizing a jump-diffusion model of a starving forager","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Nikhil Krishnan, Zachary P. Kilpatrick","submitted_at":"2018-07-18T02:23:27Z","abstract_excerpt":"We analyze the movement of a starving forager on a one-dimensional periodic lattice, where each location contains one unit of food. As the forager lands on sites with food, it consumes the food, leaving the sites empty. If the forager lands consecutively on $s$ empty sites, then it will starve. The forager has two modes of movement: it can either diffuse, by moving with equal probability to adjacent sites on the lattice, or it can jump to a uniformly randomly chosen site on the lattice. We show that the lifetime $T$ of the forager in either paradigm can be approximated by the sum of the cover "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06740","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":"2026-05-17T23:59:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4sgC7khjAPr+szUifhajGuiXy7IKgqiQFXrC8/7IUC1tcVrMtRWxVStYx1kVM09fe8GMEPZKzWHXiaOZpWUOAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:02:55.226191Z"},"content_sha256":"751b14fefd68641fc848b8bf5d194377e2f861efcb3563e970ec72a719358731","schema_version":"1.0","event_id":"sha256:751b14fefd68641fc848b8bf5d194377e2f861efcb3563e970ec72a719358731"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2TKP27EDR6T62AFNCJSK45OAZM/bundle.json","state_url":"https://pith.science/pith/2TKP27EDR6T62AFNCJSK45OAZM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2TKP27EDR6T62AFNCJSK45OAZM/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":"2026-05-28T13:02:55Z","links":{"resolver":"https://pith.science/pith/2TKP27EDR6T62AFNCJSK45OAZM","bundle":"https://pith.science/pith/2TKP27EDR6T62AFNCJSK45OAZM/bundle.json","state":"https://pith.science/pith/2TKP27EDR6T62AFNCJSK45OAZM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2TKP27EDR6T62AFNCJSK45OAZM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:2TKP27EDR6T62AFNCJSK45OAZM","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":"a6388256661222a8f2452ef179a01d67fd48eb98ff5ca13ad5ac8672b32ac58b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-18T02:23:27Z","title_canon_sha256":"c4800b1b780175501cf5d7fba5b7c169af34ae23d37c5e12119f0399d97d74bf"},"schema_version":"1.0","source":{"id":"1807.06740","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06740","created_at":"2026-05-17T23:59:52Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06740v1","created_at":"2026-05-17T23:59:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06740","created_at":"2026-05-17T23:59:52Z"},{"alias_kind":"pith_short_12","alias_value":"2TKP27EDR6T6","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_16","alias_value":"2TKP27EDR6T62AFN","created_at":"2026-05-18T12:32:02Z"},{"alias_kind":"pith_short_8","alias_value":"2TKP27ED","created_at":"2026-05-18T12:32:02Z"}],"graph_snapshots":[{"event_id":"sha256:751b14fefd68641fc848b8bf5d194377e2f861efcb3563e970ec72a719358731","target":"graph","created_at":"2026-05-17T23:59:52Z","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 analyze the movement of a starving forager on a one-dimensional periodic lattice, where each location contains one unit of food. As the forager lands on sites with food, it consumes the food, leaving the sites empty. If the forager lands consecutively on $s$ empty sites, then it will starve. The forager has two modes of movement: it can either diffuse, by moving with equal probability to adjacent sites on the lattice, or it can jump to a uniformly randomly chosen site on the lattice. We show that the lifetime $T$ of the forager in either paradigm can be approximated by the sum of the cover ","authors_text":"Nikhil Krishnan, Zachary P. Kilpatrick","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-18T02:23:27Z","title":"Optimizing a jump-diffusion model of a starving forager"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06740","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":"sha256:1da3715e8e199db30ec0cb697a4c83e3656f3e7b89e9ded080294478c48aeb7b","target":"record","created_at":"2026-05-17T23:59:52Z","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":"a6388256661222a8f2452ef179a01d67fd48eb98ff5ca13ad5ac8672b32ac58b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2018-07-18T02:23:27Z","title_canon_sha256":"c4800b1b780175501cf5d7fba5b7c169af34ae23d37c5e12119f0399d97d74bf"},"schema_version":"1.0","source":{"id":"1807.06740","kind":"arxiv","version":1}},"canonical_sha256":"d4d4fd7c838fa7ed00ad1264ae75c0cb33e4a4e8db0ed0555fad618f1a599789","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4d4fd7c838fa7ed00ad1264ae75c0cb33e4a4e8db0ed0555fad618f1a599789","first_computed_at":"2026-05-17T23:59:52.184978Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:52.184978Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sn7eOszT3Q9LkrIRKlJRvBlxCB4YfQrKGdEY51SSZppCL05CQ7aTCm94DjpQ1wWYk+KaGQHL/CFGh1XO+HglBw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:52.185386Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06740","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1da3715e8e199db30ec0cb697a4c83e3656f3e7b89e9ded080294478c48aeb7b","sha256:751b14fefd68641fc848b8bf5d194377e2f861efcb3563e970ec72a719358731"],"state_sha256":"a16884c6979d1dee555d755dafb1d228f4b179fdd76b84a6453b8e5a68ae0eef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ub2dZpwkJABdYakjDR7nmjH+G6kGeSni/cyJXXL6i5OihtatzquP9aL+G1CI8qffyQ1NzJsL/+c/ZJF7urCaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:02:55.228055Z","bundle_sha256":"637fd5326209bc8476f3a3eb280a4b3afb0bc8ca6284bfb1a1fc7a320d917f51"}}