{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FKTZ4LDJOGRLQZJ26GEMMCIXLT","short_pith_number":"pith:FKTZ4LDJ","canonical_record":{"source":{"id":"1301.3096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-01-07T09:39:36Z","cross_cats_sorted":["q-fin.TR"],"title_canon_sha256":"23d017532f2b80d16ae9483e0ba668339f027435f06dc0e327580a32cbec89ce","abstract_canon_sha256":"a3a2a0955a936fe71da2567c8b7e96325f59feb4bf181a0f1c9b83c9acf4879e"},"schema_version":"1.0"},"canonical_sha256":"2aa79e2c6971a2b8653af188c609175cf1162d16d34a02ada67cfafc0fc2fc75","source":{"kind":"arxiv","id":"1301.3096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3096","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3096v1","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3096","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"pith_short_12","alias_value":"FKTZ4LDJOGRL","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FKTZ4LDJOGRLQZJ2","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FKTZ4LDJ","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FKTZ4LDJOGRLQZJ26GEMMCIXLT","target":"record","payload":{"canonical_record":{"source":{"id":"1301.3096","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-01-07T09:39:36Z","cross_cats_sorted":["q-fin.TR"],"title_canon_sha256":"23d017532f2b80d16ae9483e0ba668339f027435f06dc0e327580a32cbec89ce","abstract_canon_sha256":"a3a2a0955a936fe71da2567c8b7e96325f59feb4bf181a0f1c9b83c9acf4879e"},"schema_version":"1.0"},"canonical_sha256":"2aa79e2c6971a2b8653af188c609175cf1162d16d34a02ada67cfafc0fc2fc75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:36:27.496417Z","signature_b64":"NpUIUEQA/FSnNWuB2KzBqVcTtuNJFEa56ryEk7wnKw/jqu6TBPrDBH958v+zU4UFYsAUSpkmJSLjjpi2otpZBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aa79e2c6971a2b8653af188c609175cf1162d16d34a02ada67cfafc0fc2fc75","last_reissued_at":"2026-05-18T03:36:27.496057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:36:27.496057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.3096","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":"2026-05-18T03:36:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t4A1wWU2NAuB73+N4a/5dSB7e6M/e3yyCSDrkKgxraZ90q+DYQVb8Z//9C4maTPEf+asCuM9NMVap/7x0sA9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:35:55.255849Z"},"content_sha256":"8a652f09b8e008ee21ef92f813b32668dd52b7b28c4df46e6e45110fd94ff13b","schema_version":"1.0","event_id":"sha256:8a652f09b8e008ee21ef92f813b32668dd52b7b28c4df46e6e45110fd94ff13b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FKTZ4LDJOGRLQZJ26GEMMCIXLT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Bankruptcy Game Theoretic Interval Rules","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-fin.TR"],"primary_cat":"q-fin.GN","authors_text":"Marco Dall'Aglio, Rodica Branzei, Stef H. Tijs","submitted_at":"2013-01-07T09:39:36Z","abstract_excerpt":"Interval bankruptcy problems arise in situations where an estate has to be liquidated among a fixed number of creditors and uncertainty about the amounts of the claims is modeled by intervals. We extend in the interval setting the classical results by Curiel, Maschler and Tijs (1987) that characterize division rules which correspond to solutions of the cooperative bankruptcy game. Finally, we analyze the difficulties with incorporating the uncertainty about the estate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3096","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":"2026-05-18T03:36:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S8vvBfcKHNoP25XqGCoLZYixAUnEDZb26cJDta2brrrSsjE7EmCmLokeuN6OxCPv5uckZ5YxwjTTgdTv8q1LCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:35:55.256607Z"},"content_sha256":"a2b55c5f126ee4fc5358f42eb58ae7127fb68359d11b630fbf297d5d83cf8fec","schema_version":"1.0","event_id":"sha256:a2b55c5f126ee4fc5358f42eb58ae7127fb68359d11b630fbf297d5d83cf8fec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKTZ4LDJOGRLQZJ26GEMMCIXLT/bundle.json","state_url":"https://pith.science/pith/FKTZ4LDJOGRLQZJ26GEMMCIXLT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKTZ4LDJOGRLQZJ26GEMMCIXLT/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":"2026-06-09T07:35:55Z","links":{"resolver":"https://pith.science/pith/FKTZ4LDJOGRLQZJ26GEMMCIXLT","bundle":"https://pith.science/pith/FKTZ4LDJOGRLQZJ26GEMMCIXLT/bundle.json","state":"https://pith.science/pith/FKTZ4LDJOGRLQZJ26GEMMCIXLT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKTZ4LDJOGRLQZJ26GEMMCIXLT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FKTZ4LDJOGRLQZJ26GEMMCIXLT","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":"a3a2a0955a936fe71da2567c8b7e96325f59feb4bf181a0f1c9b83c9acf4879e","cross_cats_sorted":["q-fin.TR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-01-07T09:39:36Z","title_canon_sha256":"23d017532f2b80d16ae9483e0ba668339f027435f06dc0e327580a32cbec89ce"},"schema_version":"1.0","source":{"id":"1301.3096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3096","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3096v1","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3096","created_at":"2026-05-18T03:36:27Z"},{"alias_kind":"pith_short_12","alias_value":"FKTZ4LDJOGRL","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FKTZ4LDJOGRLQZJ2","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FKTZ4LDJ","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:a2b55c5f126ee4fc5358f42eb58ae7127fb68359d11b630fbf297d5d83cf8fec","target":"graph","created_at":"2026-05-18T03:36:27Z","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":"Interval bankruptcy problems arise in situations where an estate has to be liquidated among a fixed number of creditors and uncertainty about the amounts of the claims is modeled by intervals. We extend in the interval setting the classical results by Curiel, Maschler and Tijs (1987) that characterize division rules which correspond to solutions of the cooperative bankruptcy game. Finally, we analyze the difficulties with incorporating the uncertainty about the estate.","authors_text":"Marco Dall'Aglio, Rodica Branzei, Stef H. Tijs","cross_cats":["q-fin.TR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-01-07T09:39:36Z","title":"On Bankruptcy Game Theoretic Interval Rules"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3096","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":"sha256:8a652f09b8e008ee21ef92f813b32668dd52b7b28c4df46e6e45110fd94ff13b","target":"record","created_at":"2026-05-18T03:36:27Z","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":"a3a2a0955a936fe71da2567c8b7e96325f59feb4bf181a0f1c9b83c9acf4879e","cross_cats_sorted":["q-fin.TR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-fin.GN","submitted_at":"2013-01-07T09:39:36Z","title_canon_sha256":"23d017532f2b80d16ae9483e0ba668339f027435f06dc0e327580a32cbec89ce"},"schema_version":"1.0","source":{"id":"1301.3096","kind":"arxiv","version":1}},"canonical_sha256":"2aa79e2c6971a2b8653af188c609175cf1162d16d34a02ada67cfafc0fc2fc75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2aa79e2c6971a2b8653af188c609175cf1162d16d34a02ada67cfafc0fc2fc75","first_computed_at":"2026-05-18T03:36:27.496057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:36:27.496057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NpUIUEQA/FSnNWuB2KzBqVcTtuNJFEa56ryEk7wnKw/jqu6TBPrDBH958v+zU4UFYsAUSpkmJSLjjpi2otpZBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:36:27.496417Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8a652f09b8e008ee21ef92f813b32668dd52b7b28c4df46e6e45110fd94ff13b","sha256:a2b55c5f126ee4fc5358f42eb58ae7127fb68359d11b630fbf297d5d83cf8fec"],"state_sha256":"2ff8efa6d8f0f63ac3450da426df5d69e6cd2d30cf1bb5b45ae6fefd9574ea9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8NZHrwFldSjXIkWuAv6Fr9eg8+FkT6yYPM3VLxeWCA9AbpWODFG5xfaYk08+YfZ1gf0oF3o+v7M+AOnOLFnRBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:35:55.260460Z","bundle_sha256":"408c49260dac99a0faacb88f2f28f8febac7ad6dc1b20656044fc80fa5d04fd1"}}