{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BAO3YLBTQDB6GNIPXTWHIPEVDV","short_pith_number":"pith:BAO3YLBT","canonical_record":{"source":{"id":"2401.04939","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2024-01-10T05:29:05Z","cross_cats_sorted":[],"title_canon_sha256":"18b8fecc29d3fbe9db7bd7e888dbf3aa741c2224a5cc1ecf553fc830c10f62d5","abstract_canon_sha256":"27dc56c618634f41c3fcbd32d0f15f68b243fcfb5afd72800a1486b7ff51b0a9"},"schema_version":"1.0"},"canonical_sha256":"081dbc2c3380c3e3350fbcec743c951d4cea24599a6db465675cdefa24fea84d","source":{"kind":"arxiv","id":"2401.04939","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.04939","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"2401.04939v1","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.04939","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"BAO3YLBTQDB6","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"pith_short_16","alias_value":"BAO3YLBTQDB6GNIP","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"pith_short_8","alias_value":"BAO3YLBT","created_at":"2026-07-05T07:32:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BAO3YLBTQDB6GNIPXTWHIPEVDV","target":"record","payload":{"canonical_record":{"source":{"id":"2401.04939","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2024-01-10T05:29:05Z","cross_cats_sorted":[],"title_canon_sha256":"18b8fecc29d3fbe9db7bd7e888dbf3aa741c2224a5cc1ecf553fc830c10f62d5","abstract_canon_sha256":"27dc56c618634f41c3fcbd32d0f15f68b243fcfb5afd72800a1486b7ff51b0a9"},"schema_version":"1.0"},"canonical_sha256":"081dbc2c3380c3e3350fbcec743c951d4cea24599a6db465675cdefa24fea84d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:32:00.790096Z","signature_b64":"XFcQ6VB8cXXJoaLiq2eI+aluVfb7XWfvUbPi/eV3Sojh8PXUYIUv/lXWvmzE04YQqvM8nf399sH1cMlpnuiqDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"081dbc2c3380c3e3350fbcec743c951d4cea24599a6db465675cdefa24fea84d","last_reissued_at":"2026-07-05T07:32:00.789691Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:32:00.789691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2401.04939","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":"2026-07-05T07:32:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3uKPN9PKVGIW1jTbMJ11ZfY2M/5waB+i2Xf4VLUzMwXSrEV3HefJo5bKHRiEx9VYFpwCKSWXOAcu+yhRp3MhDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:37:48.576373Z"},"content_sha256":"88f1dd6dd278f26b8bb454bfd1fdf69c45ede3c971a4978bfcaef2a47f438c5e","schema_version":"1.0","event_id":"sha256:88f1dd6dd278f26b8bb454bfd1fdf69c45ede3c971a4978bfcaef2a47f438c5e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BAO3YLBTQDB6GNIPXTWHIPEVDV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Partition-form Cooperative Games in Two-Echelon Supply Chains","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"econ.TH","authors_text":"Gurkirat Wadhwa, Tushar Shankar Walunj, Veeraruna Kavitha","submitted_at":"2024-01-10T05:29:05Z","abstract_excerpt":"Competition and cooperation are inherent features of any multi-echelon supply chain. The interactions among the agents across the same echelon and that across various echelons influence the percolation of market demand across echelons. The agents may want to collaborate with others in pursuit of attracting higher demand and thereby improving their own revenue. We consider one supplier (at a higher echelon) and two manufacturers (at a lower echelon and facing the customers) and study the collaborations that are `stable'; the main differentiator from the existing studies in supply chain literatu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.04939","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/2401.04939/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":"2026-07-05T07:32:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K8K1yfWgJfAS+X47BULKrV2WoZFSxlzTE34kmf2z1blQzCmsD9nm9PraUo3RBsgP8UNPNweHV6s2O+n480g1Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T06:37:48.576887Z"},"content_sha256":"6f20b2827142680cac8faa8a437ef87e093a8f3ae9ef9c9b7e79daa45ca810c3","schema_version":"1.0","event_id":"sha256:6f20b2827142680cac8faa8a437ef87e093a8f3ae9ef9c9b7e79daa45ca810c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BAO3YLBTQDB6GNIPXTWHIPEVDV/bundle.json","state_url":"https://pith.science/pith/BAO3YLBTQDB6GNIPXTWHIPEVDV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BAO3YLBTQDB6GNIPXTWHIPEVDV/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":"2026-08-08T06:37:48Z","links":{"resolver":"https://pith.science/pith/BAO3YLBTQDB6GNIPXTWHIPEVDV","bundle":"https://pith.science/pith/BAO3YLBTQDB6GNIPXTWHIPEVDV/bundle.json","state":"https://pith.science/pith/BAO3YLBTQDB6GNIPXTWHIPEVDV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BAO3YLBTQDB6GNIPXTWHIPEVDV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BAO3YLBTQDB6GNIPXTWHIPEVDV","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":"27dc56c618634f41c3fcbd32d0f15f68b243fcfb5afd72800a1486b7ff51b0a9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2024-01-10T05:29:05Z","title_canon_sha256":"18b8fecc29d3fbe9db7bd7e888dbf3aa741c2224a5cc1ecf553fc830c10f62d5"},"schema_version":"1.0","source":{"id":"2401.04939","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2401.04939","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"arxiv_version","alias_value":"2401.04939v1","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2401.04939","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"pith_short_12","alias_value":"BAO3YLBTQDB6","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"pith_short_16","alias_value":"BAO3YLBTQDB6GNIP","created_at":"2026-07-05T07:32:00Z"},{"alias_kind":"pith_short_8","alias_value":"BAO3YLBT","created_at":"2026-07-05T07:32:00Z"}],"graph_snapshots":[{"event_id":"sha256:6f20b2827142680cac8faa8a437ef87e093a8f3ae9ef9c9b7e79daa45ca810c3","target":"graph","created_at":"2026-07-05T07:32:00Z","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/2401.04939/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Competition and cooperation are inherent features of any multi-echelon supply chain. The interactions among the agents across the same echelon and that across various echelons influence the percolation of market demand across echelons. The agents may want to collaborate with others in pursuit of attracting higher demand and thereby improving their own revenue. We consider one supplier (at a higher echelon) and two manufacturers (at a lower echelon and facing the customers) and study the collaborations that are `stable'; the main differentiator from the existing studies in supply chain literatu","authors_text":"Gurkirat Wadhwa, Tushar Shankar Walunj, Veeraruna Kavitha","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2024-01-10T05:29:05Z","title":"Partition-form Cooperative Games in Two-Echelon Supply Chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2401.04939","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":"sha256:88f1dd6dd278f26b8bb454bfd1fdf69c45ede3c971a4978bfcaef2a47f438c5e","target":"record","created_at":"2026-07-05T07:32:00Z","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":"27dc56c618634f41c3fcbd32d0f15f68b243fcfb5afd72800a1486b7ff51b0a9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"econ.TH","submitted_at":"2024-01-10T05:29:05Z","title_canon_sha256":"18b8fecc29d3fbe9db7bd7e888dbf3aa741c2224a5cc1ecf553fc830c10f62d5"},"schema_version":"1.0","source":{"id":"2401.04939","kind":"arxiv","version":1}},"canonical_sha256":"081dbc2c3380c3e3350fbcec743c951d4cea24599a6db465675cdefa24fea84d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"081dbc2c3380c3e3350fbcec743c951d4cea24599a6db465675cdefa24fea84d","first_computed_at":"2026-07-05T07:32:00.789691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:32:00.789691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XFcQ6VB8cXXJoaLiq2eI+aluVfb7XWfvUbPi/eV3Sojh8PXUYIUv/lXWvmzE04YQqvM8nf399sH1cMlpnuiqDg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:32:00.790096Z","signed_message":"canonical_sha256_bytes"},"source_id":"2401.04939","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:88f1dd6dd278f26b8bb454bfd1fdf69c45ede3c971a4978bfcaef2a47f438c5e","sha256:6f20b2827142680cac8faa8a437ef87e093a8f3ae9ef9c9b7e79daa45ca810c3"],"state_sha256":"040f0fbfca888e227068d9c4f2dafc0db89bc1b702324050d8f14a808be0b9c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KwV4CdWPrkSI4RAdBwcxbttTumy3/A6T57ucoz6Pcd1s0HvGN284MKMI6vyp1q6zGNVWrh508/jGVJco18dlBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T06:37:48.581972Z","bundle_sha256":"2a44d8ddb4f2bfd867c7340b500cda7c7753fc5ed612d304493687366c84d390"}}