{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2B5ECASACDVFWZXJJ67LIEBJG5","short_pith_number":"pith:2B5ECASA","canonical_record":{"source":{"id":"2606.06874","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-05T03:41:33Z","cross_cats_sorted":[],"title_canon_sha256":"8e1ead7a81e41291f556986e3c0c3c66291082863776c59d9ab91f2caf8abcd3","abstract_canon_sha256":"1d8166c0fb38f139a8f9d8d1502f87925542c6438dbd32cbb0e3157b0faafc74"},"schema_version":"1.0"},"canonical_sha256":"d07a41024010ea5b66e94fbeb410293756261fe829574e4cc0d69a026d131343","source":{"kind":"arxiv","id":"2606.06874","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06874","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06874v1","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06874","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"2B5ECASACDVF","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"2B5ECASACDVFWZXJ","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"2B5ECASA","created_at":"2026-06-08T01:04:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2B5ECASACDVFWZXJJ67LIEBJG5","target":"record","payload":{"canonical_record":{"source":{"id":"2606.06874","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-05T03:41:33Z","cross_cats_sorted":[],"title_canon_sha256":"8e1ead7a81e41291f556986e3c0c3c66291082863776c59d9ab91f2caf8abcd3","abstract_canon_sha256":"1d8166c0fb38f139a8f9d8d1502f87925542c6438dbd32cbb0e3157b0faafc74"},"schema_version":"1.0"},"canonical_sha256":"d07a41024010ea5b66e94fbeb410293756261fe829574e4cc0d69a026d131343","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T01:04:33.339332Z","signature_b64":"xRMtT+q2JmmXNTW2qCX3w38+uIcIPy3D13XQEZ6A0gEqmHU/S9sBuSRbrhWulPY0DP4tOSE+XVPwPBbg0lVtDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d07a41024010ea5b66e94fbeb410293756261fe829574e4cc0d69a026d131343","last_reissued_at":"2026-06-08T01:04:33.338526Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T01:04:33.338526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.06874","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":"2026-06-08T01:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uowx/LzX7QVh+G3iavSpG4eLGVI1wU3BZCjpfxOOT/HvrHQm3BU77fO8B1AAJkcsBaUuixwIALZa5a5eCvPLDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T22:32:14.265102Z"},"content_sha256":"f74b0ba4fce870735ed9918360cd85159eefffda04429ca54cfb6ca464e265e5","schema_version":"1.0","event_id":"sha256:f74b0ba4fce870735ed9918360cd85159eefffda04429ca54cfb6ca464e265e5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2B5ECASACDVFWZXJJ67LIEBJG5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Impact of capacity volatility and input substitutability on supply chain resilience","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Hawoong Jeong, Jaeseok Hur, Juha Jang, Meesoon Ha","submitted_at":"2026-06-05T03:41:33Z","abstract_excerpt":"Supply chains are intrinsically vulnerable to stochastic shocks due to their sequential production dependencies. Building on the Feld-Barthelemy framework, we investigate how capacity volatility and input substitutability determine critical demands in stochastic supply chains. By modeling production capacity with a truncated normal distribution, we show that in long supply chains, reducing capacity volatility is often more effective than increasing average capacity, emphasizing the need for firm-level synchronization. Furthermore, introducing a modified Leontief-type production function reveal"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06874","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.06874/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-08T01:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zjdIgxtrN2XdsGMU+ijSKh7WUwfaAMoyKLOznhVNcOSozevBmMzbMp0xrwka0ODAE6QKCOVLcmNWdJoxNMORDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T22:32:14.265508Z"},"content_sha256":"3d422fa1fa6303f73cd37d545ec4c626e807002bf2a8eb70b32585033e1f70df","schema_version":"1.0","event_id":"sha256:3d422fa1fa6303f73cd37d545ec4c626e807002bf2a8eb70b32585033e1f70df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2B5ECASACDVFWZXJJ67LIEBJG5/bundle.json","state_url":"https://pith.science/pith/2B5ECASACDVFWZXJJ67LIEBJG5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2B5ECASACDVFWZXJJ67LIEBJG5/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":"2026-06-20T22:32:14Z","links":{"resolver":"https://pith.science/pith/2B5ECASACDVFWZXJJ67LIEBJG5","bundle":"https://pith.science/pith/2B5ECASACDVFWZXJJ67LIEBJG5/bundle.json","state":"https://pith.science/pith/2B5ECASACDVFWZXJJ67LIEBJG5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2B5ECASACDVFWZXJJ67LIEBJG5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2B5ECASACDVFWZXJJ67LIEBJG5","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":"1d8166c0fb38f139a8f9d8d1502f87925542c6438dbd32cbb0e3157b0faafc74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-05T03:41:33Z","title_canon_sha256":"8e1ead7a81e41291f556986e3c0c3c66291082863776c59d9ab91f2caf8abcd3"},"schema_version":"1.0","source":{"id":"2606.06874","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06874","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06874v1","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06874","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"2B5ECASACDVF","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"pith_short_16","alias_value":"2B5ECASACDVFWZXJ","created_at":"2026-06-08T01:04:33Z"},{"alias_kind":"pith_short_8","alias_value":"2B5ECASA","created_at":"2026-06-08T01:04:33Z"}],"graph_snapshots":[{"event_id":"sha256:3d422fa1fa6303f73cd37d545ec4c626e807002bf2a8eb70b32585033e1f70df","target":"graph","created_at":"2026-06-08T01:04:33Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.06874/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Supply chains are intrinsically vulnerable to stochastic shocks due to their sequential production dependencies. Building on the Feld-Barthelemy framework, we investigate how capacity volatility and input substitutability determine critical demands in stochastic supply chains. By modeling production capacity with a truncated normal distribution, we show that in long supply chains, reducing capacity volatility is often more effective than increasing average capacity, emphasizing the need for firm-level synchronization. Furthermore, introducing a modified Leontief-type production function reveal","authors_text":"Hawoong Jeong, Jaeseok Hur, Juha Jang, Meesoon Ha","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-05T03:41:33Z","title":"Impact of capacity volatility and input substitutability on supply chain resilience"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06874","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:f74b0ba4fce870735ed9918360cd85159eefffda04429ca54cfb6ca464e265e5","target":"record","created_at":"2026-06-08T01:04:33Z","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":"1d8166c0fb38f139a8f9d8d1502f87925542c6438dbd32cbb0e3157b0faafc74","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-05T03:41:33Z","title_canon_sha256":"8e1ead7a81e41291f556986e3c0c3c66291082863776c59d9ab91f2caf8abcd3"},"schema_version":"1.0","source":{"id":"2606.06874","kind":"arxiv","version":1}},"canonical_sha256":"d07a41024010ea5b66e94fbeb410293756261fe829574e4cc0d69a026d131343","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d07a41024010ea5b66e94fbeb410293756261fe829574e4cc0d69a026d131343","first_computed_at":"2026-06-08T01:04:33.338526Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-08T01:04:33.338526Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xRMtT+q2JmmXNTW2qCX3w38+uIcIPy3D13XQEZ6A0gEqmHU/S9sBuSRbrhWulPY0DP4tOSE+XVPwPBbg0lVtDw==","signature_status":"signed_v1","signed_at":"2026-06-08T01:04:33.339332Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.06874","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f74b0ba4fce870735ed9918360cd85159eefffda04429ca54cfb6ca464e265e5","sha256:3d422fa1fa6303f73cd37d545ec4c626e807002bf2a8eb70b32585033e1f70df"],"state_sha256":"44eba9263b58d10db312a7c695b133262f4a9e72d8da45cb03003597066d8ca7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ahBuBy2Enwuri7gN4gu4/2g0Y6nyCgUkEGYte1ATTpq/CKIez/8hG8YlGuNAL15joCbSAUmXg4kO+X1Wiz63Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T22:32:14.267502Z","bundle_sha256":"f5a4bf927e819af7f3e5597a82a11b24583c9689a1eee6b382be8ee1aaaf5963"}}