{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SIMCBZBZ2CMTPKT63AGMQ3WEB2","short_pith_number":"pith:SIMCBZBZ","schema_version":"1.0","canonical_sha256":"921820e439d09937aa7ed80cc86ec40ebe934eaff1b594344218918236103e46","source":{"kind":"arxiv","id":"1412.6065","version":2},"attestation_state":"computed","paper":{"title":"A Fire Fighter's Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"(2) University of Lund, Christos Levcopoulos (2) ((1) University of Bonn, Department of Computer Science), Elmar Langetepe (1), Germany, Institute of Computer Science I, Rolf Klein (1), Sweden","submitted_at":"2014-12-02T10:46:13Z","abstract_excerpt":"Suppose that a circular fire spreads in the plane at unit speed. A single fire fighter can build a barrier at speed $v>1$. How large must $v$ be to ensure that the fire can be contained, and how should the fire fighter proceed? We contribute two results.\n  First, we analyze the natural curve $\\mbox{FF}_v$ that develops when the fighter keeps building, at speed $v$, a barrier along the boundary of the expanding fire. We prove that the behavior of this spiralling curve is governed by a complex function $(e^{w Z} - s \\, Z)^{-1}$, where $w$ and $s$ are real functions of $v$. For $v>v_c=2.6144 \\ldo"},"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":"1412.6065","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2014-12-02T10:46:13Z","cross_cats_sorted":[],"title_canon_sha256":"0a5904f08b7322f60e7d016ca499951547bf7308e50d3d4a3b33746377e1768d","abstract_canon_sha256":"64945d235f179ef2be8f9783a1d26c2861c97e7691e3d1c2c589780cd99c33d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:05.542515Z","signature_b64":"LrAGZ7XHnnnEYe2P5jiE9qpt6u7o9z4NXi/qlwF/GZMH85fadn79ZOu3vg3a4SYkZ8ytg1yQNndaL70jA12EDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"921820e439d09937aa7ed80cc86ec40ebe934eaff1b594344218918236103e46","last_reissued_at":"2026-05-18T01:17:05.541630Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:05.541630Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Fire Fighter's Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"(2) University of Lund, Christos Levcopoulos (2) ((1) University of Bonn, Department of Computer Science), Elmar Langetepe (1), Germany, Institute of Computer Science I, Rolf Klein (1), Sweden","submitted_at":"2014-12-02T10:46:13Z","abstract_excerpt":"Suppose that a circular fire spreads in the plane at unit speed. A single fire fighter can build a barrier at speed $v>1$. How large must $v$ be to ensure that the fire can be contained, and how should the fire fighter proceed? We contribute two results.\n  First, we analyze the natural curve $\\mbox{FF}_v$ that develops when the fighter keeps building, at speed $v$, a barrier along the boundary of the expanding fire. We prove that the behavior of this spiralling curve is governed by a complex function $(e^{w Z} - s \\, Z)^{-1}$, where $w$ and $s$ are real functions of $v$. For $v>v_c=2.6144 \\ldo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.6065","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.6065","created_at":"2026-05-18T01:17:05.541772+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.6065v2","created_at":"2026-05-18T01:17:05.541772+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.6065","created_at":"2026-05-18T01:17:05.541772+00:00"},{"alias_kind":"pith_short_12","alias_value":"SIMCBZBZ2CMT","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SIMCBZBZ2CMTPKT6","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SIMCBZBZ","created_at":"2026-05-18T12:28:49.207871+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/SIMCBZBZ2CMTPKT63AGMQ3WEB2","json":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2.json","graph_json":"https://pith.science/api/pith-number/SIMCBZBZ2CMTPKT63AGMQ3WEB2/graph.json","events_json":"https://pith.science/api/pith-number/SIMCBZBZ2CMTPKT63AGMQ3WEB2/events.json","paper":"https://pith.science/paper/SIMCBZBZ"},"agent_actions":{"view_html":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2","download_json":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2.json","view_paper":"https://pith.science/paper/SIMCBZBZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.6065&json=true","fetch_graph":"https://pith.science/api/pith-number/SIMCBZBZ2CMTPKT63AGMQ3WEB2/graph.json","fetch_events":"https://pith.science/api/pith-number/SIMCBZBZ2CMTPKT63AGMQ3WEB2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2/action/storage_attestation","attest_author":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2/action/author_attestation","sign_citation":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2/action/citation_signature","submit_replication":"https://pith.science/pith/SIMCBZBZ2CMTPKT63AGMQ3WEB2/action/replication_record"}},"created_at":"2026-05-18T01:17:05.541772+00:00","updated_at":"2026-05-18T01:17:05.541772+00:00"}