{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4XSZJAM4U4WA757ICXFEUVUWP2","short_pith_number":"pith:4XSZJAM4","canonical_record":{"source":{"id":"1402.1211","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-05T22:40:31Z","cross_cats_sorted":[],"title_canon_sha256":"84570de897dd15ca428846ff809227dcee1f1a6bc5c718f3a6ab3ebd4ddfdcd4","abstract_canon_sha256":"0069a2ac5e98358c37e975060d488635058397c187fa3496be289bacb10a6613"},"schema_version":"1.0"},"canonical_sha256":"e5e594819ca72c0ff7e815ca4a56967ea4b8810877ff2e58762dba9e37a842ba","source":{"kind":"arxiv","id":"1402.1211","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1211","created_at":"2026-05-18T01:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1211v2","created_at":"2026-05-18T01:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1211","created_at":"2026-05-18T01:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"4XSZJAM4U4WA","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4XSZJAM4U4WA757I","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4XSZJAM4","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4XSZJAM4U4WA757ICXFEUVUWP2","target":"record","payload":{"canonical_record":{"source":{"id":"1402.1211","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-05T22:40:31Z","cross_cats_sorted":[],"title_canon_sha256":"84570de897dd15ca428846ff809227dcee1f1a6bc5c718f3a6ab3ebd4ddfdcd4","abstract_canon_sha256":"0069a2ac5e98358c37e975060d488635058397c187fa3496be289bacb10a6613"},"schema_version":"1.0"},"canonical_sha256":"e5e594819ca72c0ff7e815ca4a56967ea4b8810877ff2e58762dba9e37a842ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:23.627757Z","signature_b64":"Sem5/FycTtrCkjkg16ltyia13usaOTCszqHrBYZPUaMHsMLIR2A2ahhZzLhraDvYnIQlRU1HVRkkFCtXRi5KDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5e594819ca72c0ff7e815ca4a56967ea4b8810877ff2e58762dba9e37a842ba","last_reissued_at":"2026-05-18T01:18:23.627262Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:23.627262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.1211","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":"2026-05-18T01:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bTGvXqmYhyqsuTjWBP/L3TkJpkT2eONZCM5FTMibRwbDOnBMwfTAJZmqfXmD1xOBQxezSt6yt4x5T2AKYUu5Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:45:42.930617Z"},"content_sha256":"5d0d728a181179566e3e13a18434bfe0ab107ee6d06a6e7e3cdd7aa684a3dd2d","schema_version":"1.0","event_id":"sha256:5d0d728a181179566e3e13a18434bfe0ab107ee6d06a6e7e3cdd7aa684a3dd2d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4XSZJAM4U4WA757ICXFEUVUWP2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Ke Han, Terry L. Friesz, W. Y. Szeto","submitted_at":"2014-02-05T22:40:31Z","abstract_excerpt":"This paper analyzes simultaneous route-and-departure-time (SRDT) dynamic user equilibrium (DUE) that incorporates the notion of boundedly rational (BR) user behavior in the selection of departure time and route choices. Intrinsically, the boundedly rational dynamic user equilibrium (BR-DUE) model we present assumes that travelers do not always seek the least costly route-and-departure-time choice. Rather, their perception of travel cost is affected by an indifference band describing travelers' tolerance of the difference between their experienced travel costs and the minimum travel cost. An ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1211","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":"2026-05-18T01:18:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yU7ZW7djVT9Z76KnYJZWPhUTMoj4zmgpsZuQqPlXzwGe0izWU4B3CAukIIKzshodfV5ekjVW4e9d2o4y9mGgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:45:42.931204Z"},"content_sha256":"ca94748283ad1630e22b543e3dd550fa4a7ad503c46c29ea0b6d28615065f15e","schema_version":"1.0","event_id":"sha256:ca94748283ad1630e22b543e3dd550fa4a7ad503c46c29ea0b6d28615065f15e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4XSZJAM4U4WA757ICXFEUVUWP2/bundle.json","state_url":"https://pith.science/pith/4XSZJAM4U4WA757ICXFEUVUWP2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4XSZJAM4U4WA757ICXFEUVUWP2/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":"2026-05-30T08:45:42Z","links":{"resolver":"https://pith.science/pith/4XSZJAM4U4WA757ICXFEUVUWP2","bundle":"https://pith.science/pith/4XSZJAM4U4WA757ICXFEUVUWP2/bundle.json","state":"https://pith.science/pith/4XSZJAM4U4WA757ICXFEUVUWP2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4XSZJAM4U4WA757ICXFEUVUWP2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4XSZJAM4U4WA757ICXFEUVUWP2","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":"0069a2ac5e98358c37e975060d488635058397c187fa3496be289bacb10a6613","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-05T22:40:31Z","title_canon_sha256":"84570de897dd15ca428846ff809227dcee1f1a6bc5c718f3a6ab3ebd4ddfdcd4"},"schema_version":"1.0","source":{"id":"1402.1211","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1211","created_at":"2026-05-18T01:18:23Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1211v2","created_at":"2026-05-18T01:18:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1211","created_at":"2026-05-18T01:18:23Z"},{"alias_kind":"pith_short_12","alias_value":"4XSZJAM4U4WA","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4XSZJAM4U4WA757I","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4XSZJAM4","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:ca94748283ad1630e22b543e3dd550fa4a7ad503c46c29ea0b6d28615065f15e","target":"graph","created_at":"2026-05-18T01:18:23Z","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":"This paper analyzes simultaneous route-and-departure-time (SRDT) dynamic user equilibrium (DUE) that incorporates the notion of boundedly rational (BR) user behavior in the selection of departure time and route choices. Intrinsically, the boundedly rational dynamic user equilibrium (BR-DUE) model we present assumes that travelers do not always seek the least costly route-and-departure-time choice. Rather, their perception of travel cost is affected by an indifference band describing travelers' tolerance of the difference between their experienced travel costs and the minimum travel cost. An ex","authors_text":"Ke Han, Terry L. Friesz, W. Y. Szeto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-05T22:40:31Z","title":"Formulation, existence, and computation of boundedly rational dynamic user equilibrium with fixed or endogenous user tolerance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1211","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":"sha256:5d0d728a181179566e3e13a18434bfe0ab107ee6d06a6e7e3cdd7aa684a3dd2d","target":"record","created_at":"2026-05-18T01:18:23Z","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":"0069a2ac5e98358c37e975060d488635058397c187fa3496be289bacb10a6613","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2014-02-05T22:40:31Z","title_canon_sha256":"84570de897dd15ca428846ff809227dcee1f1a6bc5c718f3a6ab3ebd4ddfdcd4"},"schema_version":"1.0","source":{"id":"1402.1211","kind":"arxiv","version":2}},"canonical_sha256":"e5e594819ca72c0ff7e815ca4a56967ea4b8810877ff2e58762dba9e37a842ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5e594819ca72c0ff7e815ca4a56967ea4b8810877ff2e58762dba9e37a842ba","first_computed_at":"2026-05-18T01:18:23.627262Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:23.627262Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Sem5/FycTtrCkjkg16ltyia13usaOTCszqHrBYZPUaMHsMLIR2A2ahhZzLhraDvYnIQlRU1HVRkkFCtXRi5KDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:23.627757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1211","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d0d728a181179566e3e13a18434bfe0ab107ee6d06a6e7e3cdd7aa684a3dd2d","sha256:ca94748283ad1630e22b543e3dd550fa4a7ad503c46c29ea0b6d28615065f15e"],"state_sha256":"46a47642d6864703b477b248ab8e2b3aeac6697fd631dda73502c376baf42611"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XaBPvWFXtJthuAgyY4FFcZTGBRlBB+t+rnMOvMXR6fJP76xI69qiAFDePKjTEnvoimr34Z7yzKjfsdUWEPV5Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:45:42.933959Z","bundle_sha256":"d77ecde5df46642d895fe60ada249fcf81ac8f7ab6a0dd15e953520a8aef831c"}}