{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:JHN2MMCAJU7QGOHOWBUYM4W7OA","short_pith_number":"pith:JHN2MMCA","canonical_record":{"source":{"id":"math/0411518","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2004-11-23T17:36:43Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"5a54c80506d49a36afb7ab84baec5b1c5e803b9c5ea297c23166cd773326e264","abstract_canon_sha256":"d9949a3dc09560298afb0cd2fa6fc60754950d8d60276d82d6ac56ae0ee84548"},"schema_version":"1.0"},"canonical_sha256":"49dba630404d3f0338eeb0698672df7002805d1dcaa21f357ce20fbe63859a6f","source":{"kind":"arxiv","id":"math/0411518","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0411518","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"arxiv_version","alias_value":"math/0411518v2","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411518","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"pith_short_12","alias_value":"JHN2MMCAJU7Q","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"JHN2MMCAJU7QGOHO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"JHN2MMCA","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:JHN2MMCAJU7QGOHOWBUYM4W7OA","target":"record","payload":{"canonical_record":{"source":{"id":"math/0411518","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2004-11-23T17:36:43Z","cross_cats_sorted":["math.MG"],"title_canon_sha256":"5a54c80506d49a36afb7ab84baec5b1c5e803b9c5ea297c23166cd773326e264","abstract_canon_sha256":"d9949a3dc09560298afb0cd2fa6fc60754950d8d60276d82d6ac56ae0ee84548"},"schema_version":"1.0"},"canonical_sha256":"49dba630404d3f0338eeb0698672df7002805d1dcaa21f357ce20fbe63859a6f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:06.728048Z","signature_b64":"nzznpQ+1iOqPsQE414hOYqBQo8R0M9cVl/sMvw74Q/4yAXn6vfClJvImvGHhw5h2GeKc+M+Mugj/eH17mf+RAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49dba630404d3f0338eeb0698672df7002805d1dcaa21f357ce20fbe63859a6f","last_reissued_at":"2026-05-18T01:19:06.727355Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:06.727355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0411518","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":"2026-05-18T01:19:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gmV+0rzraNFM5gKcp2/OeNbeBwnjSERCTHO8y42OKOL4ZLZIzhwz8nqf+Pj6PQqi2lmdQPAuNhbZv+mmsUWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T00:13:58.796387Z"},"content_sha256":"05746566711cdf0af39322072b30d4437ad979a56fc64e47ed179e862dfd648a","schema_version":"1.0","event_id":"sha256:05746566711cdf0af39322072b30d4437ad979a56fc64e47ed179e862dfd648a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:JHN2MMCAJU7QGOHOWBUYM4W7OA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lost at Sea","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MG"],"primary_cat":"math.OC","authors_text":"John A. Shonder, Steven R. Finch","submitted_at":"2004-11-23T17:36:43Z","abstract_excerpt":"What is the path of minimum expected length for escaping a planar convex region Omega? We rigorously obtain best 2-segment and 3-segment solutions when Omega is an infinite strip, and numerically examine 2-segment solutions when Omega is a disk."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411518","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":"2026-05-18T01:19:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rhwBA+toGjfl3QExM7xiWXJHujDmBiGiJtwcRDycyWRxW/2Pr+bX0lkBoWaRI+sCL0qRY1TCtYZuaWdGlQM7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T00:13:58.796852Z"},"content_sha256":"2c67a5c90466ac883e7f5fbf047a15e3d2f371b9ed3d92fcc5af8ee5794b1c13","schema_version":"1.0","event_id":"sha256:2c67a5c90466ac883e7f5fbf047a15e3d2f371b9ed3d92fcc5af8ee5794b1c13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JHN2MMCAJU7QGOHOWBUYM4W7OA/bundle.json","state_url":"https://pith.science/pith/JHN2MMCAJU7QGOHOWBUYM4W7OA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JHN2MMCAJU7QGOHOWBUYM4W7OA/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":"2026-08-14T00:13:58Z","links":{"resolver":"https://pith.science/pith/JHN2MMCAJU7QGOHOWBUYM4W7OA","bundle":"https://pith.science/pith/JHN2MMCAJU7QGOHOWBUYM4W7OA/bundle.json","state":"https://pith.science/pith/JHN2MMCAJU7QGOHOWBUYM4W7OA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JHN2MMCAJU7QGOHOWBUYM4W7OA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:JHN2MMCAJU7QGOHOWBUYM4W7OA","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":"d9949a3dc09560298afb0cd2fa6fc60754950d8d60276d82d6ac56ae0ee84548","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2004-11-23T17:36:43Z","title_canon_sha256":"5a54c80506d49a36afb7ab84baec5b1c5e803b9c5ea297c23166cd773326e264"},"schema_version":"1.0","source":{"id":"math/0411518","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0411518","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"arxiv_version","alias_value":"math/0411518v2","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411518","created_at":"2026-05-18T01:19:06Z"},{"alias_kind":"pith_short_12","alias_value":"JHN2MMCAJU7Q","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"JHN2MMCAJU7QGOHO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"JHN2MMCA","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:2c67a5c90466ac883e7f5fbf047a15e3d2f371b9ed3d92fcc5af8ee5794b1c13","target":"graph","created_at":"2026-05-18T01:19:06Z","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":"What is the path of minimum expected length for escaping a planar convex region Omega? We rigorously obtain best 2-segment and 3-segment solutions when Omega is an infinite strip, and numerically examine 2-segment solutions when Omega is a disk.","authors_text":"John A. Shonder, Steven R. Finch","cross_cats":["math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2004-11-23T17:36:43Z","title":"Lost at Sea"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411518","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":"sha256:05746566711cdf0af39322072b30d4437ad979a56fc64e47ed179e862dfd648a","target":"record","created_at":"2026-05-18T01:19:06Z","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":"d9949a3dc09560298afb0cd2fa6fc60754950d8d60276d82d6ac56ae0ee84548","cross_cats_sorted":["math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2004-11-23T17:36:43Z","title_canon_sha256":"5a54c80506d49a36afb7ab84baec5b1c5e803b9c5ea297c23166cd773326e264"},"schema_version":"1.0","source":{"id":"math/0411518","kind":"arxiv","version":2}},"canonical_sha256":"49dba630404d3f0338eeb0698672df7002805d1dcaa21f357ce20fbe63859a6f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49dba630404d3f0338eeb0698672df7002805d1dcaa21f357ce20fbe63859a6f","first_computed_at":"2026-05-18T01:19:06.727355Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:06.727355Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nzznpQ+1iOqPsQE414hOYqBQo8R0M9cVl/sMvw74Q/4yAXn6vfClJvImvGHhw5h2GeKc+M+Mugj/eH17mf+RAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:06.728048Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0411518","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05746566711cdf0af39322072b30d4437ad979a56fc64e47ed179e862dfd648a","sha256:2c67a5c90466ac883e7f5fbf047a15e3d2f371b9ed3d92fcc5af8ee5794b1c13"],"state_sha256":"e7d06c4203fa17f263017874090a9a64bc8b0bc49b995e2ff4aabaacb1bddad1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"73Bj1tylikt+LyjlYCuZI1Sdw6madYi5Ql5Nub2Khmu52VtvImre+MvNmc7LOcN79LMHXxTfEB/Jbpqrb+1PCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T00:13:58.827308Z","bundle_sha256":"f97ea24266258978742fa2a81527c9873ddf67002109c8b1ab5c452702482feb"}}