{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SEHEIFI4MG3KCCTXBPEFBWI3UK","short_pith_number":"pith:SEHEIFI4","canonical_record":{"source":{"id":"1509.06460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-22T04:27:15Z","cross_cats_sorted":[],"title_canon_sha256":"a8cf9ead22ee6bdb3aeefcb6a4b6fd330902af7d1f5955a18bcb4488c9fb9b30","abstract_canon_sha256":"580ebf656c69e8e880eda7f96565b4bf942bbca8c6a1bdefff49568ce306b27a"},"schema_version":"1.0"},"canonical_sha256":"910e44151c61b6a10a770bc850d91ba2875b501ce9f5fe61bb77beec8cc3b2a0","source":{"kind":"arxiv","id":"1509.06460","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06460","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06460v1","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06460","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"SEHEIFI4MG3K","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SEHEIFI4MG3KCCTX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SEHEIFI4","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SEHEIFI4MG3KCCTXBPEFBWI3UK","target":"record","payload":{"canonical_record":{"source":{"id":"1509.06460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-22T04:27:15Z","cross_cats_sorted":[],"title_canon_sha256":"a8cf9ead22ee6bdb3aeefcb6a4b6fd330902af7d1f5955a18bcb4488c9fb9b30","abstract_canon_sha256":"580ebf656c69e8e880eda7f96565b4bf942bbca8c6a1bdefff49568ce306b27a"},"schema_version":"1.0"},"canonical_sha256":"910e44151c61b6a10a770bc850d91ba2875b501ce9f5fe61bb77beec8cc3b2a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:32:20.221463Z","signature_b64":"2DtuaQVh9CzfImzkR9vweuR3Fyzsn5YGco5F8PPvkkR3IqnPLVm3XWThx9pNe17E52+z/HMWBxITNmc5xzJsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"910e44151c61b6a10a770bc850d91ba2875b501ce9f5fe61bb77beec8cc3b2a0","last_reissued_at":"2026-05-18T01:32:20.220790Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:32:20.220790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.06460","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":"2026-05-18T01:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5+MT8palcIRJLsb/zw8MDJh+Vw09LCPvwE4lzyWWg8Y9+meB2XQt74Sh7B/NgvJmi3FNMro7qk1rbqmEwvmuBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:27:17.576185Z"},"content_sha256":"4051593f6568d64e1949bae4c873956cb8b8d67132199e7b8b987ca9a5171cf0","schema_version":"1.0","event_id":"sha256:4051593f6568d64e1949bae4c873956cb8b8d67132199e7b8b987ca9a5171cf0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SEHEIFI4MG3KCCTXBPEFBWI3UK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cash-Flow Based Dynamic Inventory Management","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Benjamin Melamed, Jim Shi, Michael N. Katehakis","submitted_at":"2015-09-22T04:27:15Z","abstract_excerpt":"Small-to-medium size enterprises (SMEs), including many startup firms, need to manage interrelated flows of cash and inventories of goods. In this paper, we model a firm that can finance its inventory (ordered or manufactured) with loans in order to meet random demand which in general may not be time stationary. The firm earns interest on its cash on hand and pays interest on its debt. The objective is to maximize the expected value of the firm's %working capital at the end of a finite planning horizon. Our study shows that the optimal ordering policy is characterized by a pair of threshold va"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06460","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":"2026-05-18T01:32:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ay7+7TYNtCaZzSb+Y8JEvpGwuro1Q8EFFdxaY7w45nP3bASs16v5OtAEvEp0c4kiZ669kUAvs7n8FLUzQtGvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T19:27:17.576890Z"},"content_sha256":"6e4624cca082d9e1b0c4161588de21b12da46edf46930225d3690ec149670d81","schema_version":"1.0","event_id":"sha256:6e4624cca082d9e1b0c4161588de21b12da46edf46930225d3690ec149670d81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SEHEIFI4MG3KCCTXBPEFBWI3UK/bundle.json","state_url":"https://pith.science/pith/SEHEIFI4MG3KCCTXBPEFBWI3UK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SEHEIFI4MG3KCCTXBPEFBWI3UK/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":"2026-06-08T19:27:17Z","links":{"resolver":"https://pith.science/pith/SEHEIFI4MG3KCCTXBPEFBWI3UK","bundle":"https://pith.science/pith/SEHEIFI4MG3KCCTXBPEFBWI3UK/bundle.json","state":"https://pith.science/pith/SEHEIFI4MG3KCCTXBPEFBWI3UK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SEHEIFI4MG3KCCTXBPEFBWI3UK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SEHEIFI4MG3KCCTXBPEFBWI3UK","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":"580ebf656c69e8e880eda7f96565b4bf942bbca8c6a1bdefff49568ce306b27a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-22T04:27:15Z","title_canon_sha256":"a8cf9ead22ee6bdb3aeefcb6a4b6fd330902af7d1f5955a18bcb4488c9fb9b30"},"schema_version":"1.0","source":{"id":"1509.06460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.06460","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"arxiv_version","alias_value":"1509.06460v1","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.06460","created_at":"2026-05-18T01:32:20Z"},{"alias_kind":"pith_short_12","alias_value":"SEHEIFI4MG3K","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"SEHEIFI4MG3KCCTX","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"SEHEIFI4","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:6e4624cca082d9e1b0c4161588de21b12da46edf46930225d3690ec149670d81","target":"graph","created_at":"2026-05-18T01:32:20Z","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":"Small-to-medium size enterprises (SMEs), including many startup firms, need to manage interrelated flows of cash and inventories of goods. In this paper, we model a firm that can finance its inventory (ordered or manufactured) with loans in order to meet random demand which in general may not be time stationary. The firm earns interest on its cash on hand and pays interest on its debt. The objective is to maximize the expected value of the firm's %working capital at the end of a finite planning horizon. Our study shows that the optimal ordering policy is characterized by a pair of threshold va","authors_text":"Benjamin Melamed, Jim Shi, Michael N. Katehakis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-22T04:27:15Z","title":"Cash-Flow Based Dynamic Inventory Management"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.06460","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":"sha256:4051593f6568d64e1949bae4c873956cb8b8d67132199e7b8b987ca9a5171cf0","target":"record","created_at":"2026-05-18T01:32:20Z","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":"580ebf656c69e8e880eda7f96565b4bf942bbca8c6a1bdefff49568ce306b27a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-09-22T04:27:15Z","title_canon_sha256":"a8cf9ead22ee6bdb3aeefcb6a4b6fd330902af7d1f5955a18bcb4488c9fb9b30"},"schema_version":"1.0","source":{"id":"1509.06460","kind":"arxiv","version":1}},"canonical_sha256":"910e44151c61b6a10a770bc850d91ba2875b501ce9f5fe61bb77beec8cc3b2a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"910e44151c61b6a10a770bc850d91ba2875b501ce9f5fe61bb77beec8cc3b2a0","first_computed_at":"2026-05-18T01:32:20.220790Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:20.220790Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2DtuaQVh9CzfImzkR9vweuR3Fyzsn5YGco5F8PPvkkR3IqnPLVm3XWThx9pNe17E52+z/HMWBxITNmc5xzJsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:20.221463Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.06460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4051593f6568d64e1949bae4c873956cb8b8d67132199e7b8b987ca9a5171cf0","sha256:6e4624cca082d9e1b0c4161588de21b12da46edf46930225d3690ec149670d81"],"state_sha256":"b6f48a0bc9a326d54f247106fc798c6ecd75a4df22134e91652f8b93daa14ac9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dql1cmGCqMtGovCzd3GPaYgB1CNEgz5yKaFX9L5pvcV/ezoSRHOjenu7C9Ajk5MXAyXAjOF4UYmJRuKgAk7ACg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T19:27:17.580766Z","bundle_sha256":"691dc17546e0ee98f8dac74963d674fd335ee73dabf90501bfb446dbb762a20c"}}