{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:IKDCY52MNSWG5BD6EXVCGWCP3X","short_pith_number":"pith:IKDCY52M","canonical_record":{"source":{"id":"1401.2181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-01-04T06:32:11Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"3525fe9834866cf30d31260faedca133b7cb66a1e210dcbafdd06031fa6afba7","abstract_canon_sha256":"ca058fb774051c2dd452f8f48ec96755ee5180e6d95cd4cc38a31b1c74e29758"},"schema_version":"1.0"},"canonical_sha256":"42862c774c6cac6e847e25ea23584fddfc8644c5cdc381551f42960d0f6bb1be","source":{"kind":"arxiv","id":"1401.2181","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2181","created_at":"2026-05-18T03:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2181v1","created_at":"2026-05-18T03:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2181","created_at":"2026-05-18T03:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"IKDCY52MNSWG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IKDCY52MNSWG5BD6","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IKDCY52M","created_at":"2026-05-18T12:28:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:IKDCY52MNSWG5BD6EXVCGWCP3X","target":"record","payload":{"canonical_record":{"source":{"id":"1401.2181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-01-04T06:32:11Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"3525fe9834866cf30d31260faedca133b7cb66a1e210dcbafdd06031fa6afba7","abstract_canon_sha256":"ca058fb774051c2dd452f8f48ec96755ee5180e6d95cd4cc38a31b1c74e29758"},"schema_version":"1.0"},"canonical_sha256":"42862c774c6cac6e847e25ea23584fddfc8644c5cdc381551f42960d0f6bb1be","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:02:46.206768Z","signature_b64":"WitcOdEPTmm+1uAtS6wOsBsLfgM4CBBW2CwOJsBVNyjNoGALP6PoioKIIqppMRpufB05itG0iexPx/xBhVAzDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42862c774c6cac6e847e25ea23584fddfc8644c5cdc381551f42960d0f6bb1be","last_reissued_at":"2026-05-18T03:02:46.206110Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:02:46.206110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1401.2181","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":"2026-05-18T03:02:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PaD2DelOC80woI3pWuwtQABjPFWI2xtE+E2Gw5YCA1tjMIIS6/mYCJ23n3L/iXXkQg8jIpnzbU75fjADHv6CCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:57:53.017871Z"},"content_sha256":"650ac95c69f3f18cdfbb2889998cd2415607924a2d8915b0964d807114b85ac3","schema_version":"1.0","event_id":"sha256:650ac95c69f3f18cdfbb2889998cd2415607924a2d8915b0964d807114b85ac3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:IKDCY52MNSWG5BD6EXVCGWCP3X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A biologically inspired model for transshipment problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.SY","authors_text":"Cai Gao, Chao Yan, Daijun Wei, Sankaran Mahadevan, Yong Deng, Yong Hu","submitted_at":"2014-01-04T06:32:11Z","abstract_excerpt":"Transshipment problem is one of the basic operational research problems. In this paper, our first work is to develop a biologically inspired mathematical model for a dynamical system, which is first used to solve minimum cost flow problem. It has lower computational complexity than Physarum Solver. Second, we apply the proposed model to solve the traditional transshipment problem. Compared with the conditional methods, experiment results show the provided model is simple, effective as well as handling problem in a continuous manner."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2181","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":"2026-05-18T03:02:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2V5GqeRgOEpqK/oj6eYtCdfUtv3gLfqZ2RJHMe88VpGzKQllP+A3sjJcRiG58dVpfwBJkkKSpbeVYehtMLUhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T04:57:53.018515Z"},"content_sha256":"b83a78ddf5e59d3dc40a9d1ca32f004ab60a113c6e52bac600fdaa30751fcefa","schema_version":"1.0","event_id":"sha256:b83a78ddf5e59d3dc40a9d1ca32f004ab60a113c6e52bac600fdaa30751fcefa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IKDCY52MNSWG5BD6EXVCGWCP3X/bundle.json","state_url":"https://pith.science/pith/IKDCY52MNSWG5BD6EXVCGWCP3X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IKDCY52MNSWG5BD6EXVCGWCP3X/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":"2026-05-26T04:57:53Z","links":{"resolver":"https://pith.science/pith/IKDCY52MNSWG5BD6EXVCGWCP3X","bundle":"https://pith.science/pith/IKDCY52MNSWG5BD6EXVCGWCP3X/bundle.json","state":"https://pith.science/pith/IKDCY52MNSWG5BD6EXVCGWCP3X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IKDCY52MNSWG5BD6EXVCGWCP3X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:IKDCY52MNSWG5BD6EXVCGWCP3X","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":"ca058fb774051c2dd452f8f48ec96755ee5180e6d95cd4cc38a31b1c74e29758","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-01-04T06:32:11Z","title_canon_sha256":"3525fe9834866cf30d31260faedca133b7cb66a1e210dcbafdd06031fa6afba7"},"schema_version":"1.0","source":{"id":"1401.2181","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.2181","created_at":"2026-05-18T03:02:46Z"},{"alias_kind":"arxiv_version","alias_value":"1401.2181v1","created_at":"2026-05-18T03:02:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.2181","created_at":"2026-05-18T03:02:46Z"},{"alias_kind":"pith_short_12","alias_value":"IKDCY52MNSWG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"IKDCY52MNSWG5BD6","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"IKDCY52M","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:b83a78ddf5e59d3dc40a9d1ca32f004ab60a113c6e52bac600fdaa30751fcefa","target":"graph","created_at":"2026-05-18T03:02:46Z","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":"Transshipment problem is one of the basic operational research problems. In this paper, our first work is to develop a biologically inspired mathematical model for a dynamical system, which is first used to solve minimum cost flow problem. It has lower computational complexity than Physarum Solver. Second, we apply the proposed model to solve the traditional transshipment problem. Compared with the conditional methods, experiment results show the provided model is simple, effective as well as handling problem in a continuous manner.","authors_text":"Cai Gao, Chao Yan, Daijun Wei, Sankaran Mahadevan, Yong Deng, Yong Hu","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-01-04T06:32:11Z","title":"A biologically inspired model for transshipment problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.2181","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":"sha256:650ac95c69f3f18cdfbb2889998cd2415607924a2d8915b0964d807114b85ac3","target":"record","created_at":"2026-05-18T03:02:46Z","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":"ca058fb774051c2dd452f8f48ec96755ee5180e6d95cd4cc38a31b1c74e29758","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SY","submitted_at":"2014-01-04T06:32:11Z","title_canon_sha256":"3525fe9834866cf30d31260faedca133b7cb66a1e210dcbafdd06031fa6afba7"},"schema_version":"1.0","source":{"id":"1401.2181","kind":"arxiv","version":1}},"canonical_sha256":"42862c774c6cac6e847e25ea23584fddfc8644c5cdc381551f42960d0f6bb1be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42862c774c6cac6e847e25ea23584fddfc8644c5cdc381551f42960d0f6bb1be","first_computed_at":"2026-05-18T03:02:46.206110Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:02:46.206110Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WitcOdEPTmm+1uAtS6wOsBsLfgM4CBBW2CwOJsBVNyjNoGALP6PoioKIIqppMRpufB05itG0iexPx/xBhVAzDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:02:46.206768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.2181","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:650ac95c69f3f18cdfbb2889998cd2415607924a2d8915b0964d807114b85ac3","sha256:b83a78ddf5e59d3dc40a9d1ca32f004ab60a113c6e52bac600fdaa30751fcefa"],"state_sha256":"ea236d83135c7e83bec3884daee16ba5e4aa84238d567915d43dd8734d4c7be5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AJnAmNumD3dp0uHoInDz6cRs3U089YXCbdzhZkV4fPS3Y13p316N4qyDUagY/9DJez5uriMOrRACfSRcQ80hBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T04:57:53.021159Z","bundle_sha256":"7469d1fb6152af8c3a5f56e8def0c9f39fcf92e879cc9812f62492f7a72ef962"}}