{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ZXUC6C2VXNY6PVGS6TDLMN2QPJ","short_pith_number":"pith:ZXUC6C2V","canonical_record":{"source":{"id":"1503.02092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-05T16:17:43Z","cross_cats_sorted":[],"title_canon_sha256":"282492fd4f6f1ba13a701064c213a1ac90e4c3966fa82009038135a090fa00a3","abstract_canon_sha256":"4d268d63d838f1ba110ac02514d7e286fa07a28648e387c79fd634e0991371d9"},"schema_version":"1.0"},"canonical_sha256":"cde82f0b55bb71e7d4d2f4c6b637507a423439e9a927f4e74368f20ef228c12b","source":{"kind":"arxiv","id":"1503.02092","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02092","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02092v1","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02092","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZXUC6C2VXNY6","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZXUC6C2VXNY6PVGS","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZXUC6C2V","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ZXUC6C2VXNY6PVGS6TDLMN2QPJ","target":"record","payload":{"canonical_record":{"source":{"id":"1503.02092","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-05T16:17:43Z","cross_cats_sorted":[],"title_canon_sha256":"282492fd4f6f1ba13a701064c213a1ac90e4c3966fa82009038135a090fa00a3","abstract_canon_sha256":"4d268d63d838f1ba110ac02514d7e286fa07a28648e387c79fd634e0991371d9"},"schema_version":"1.0"},"canonical_sha256":"cde82f0b55bb71e7d4d2f4c6b637507a423439e9a927f4e74368f20ef228c12b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:25.877934Z","signature_b64":"rqU/I/VFK5TOhOqpX8hfPzszWyfIs4FwhYJQTze6PypvM0S6OR3eJi7yD3H8V283JIewCBSEMUcwqfE8PvS7Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cde82f0b55bb71e7d4d2f4c6b637507a423439e9a927f4e74368f20ef228c12b","last_reissued_at":"2026-05-18T02:25:25.877582Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:25.877582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.02092","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":"2026-05-18T02:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wK3yLD2YDHbIfnIKwYBPf1Uiww6IEnqk0tzSShiqn+qDjv0OHLxwq/P1k7AI75X6Lxz8fJbyBJ5wyWAbbdjUCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:38:46.825785Z"},"content_sha256":"1611207184d3a512ad74d115b37ae9106d736f8fbf0ffcb4967d2f1a31ff28f1","schema_version":"1.0","event_id":"sha256:1611207184d3a512ad74d115b37ae9106d736f8fbf0ffcb4967d2f1a31ff28f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ZXUC6C2VXNY6PVGS6TDLMN2QPJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Williams Coherence and Beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Paolo Vicig, Renato Pelessoni","submitted_at":"2015-03-05T16:17:43Z","abstract_excerpt":"In this paper we discuss the consistency concept of Williams coherence for imprecise conditional previsions, presenting a variant of this notion, which we call W-coherence. It is shown that W-coherence ensures important consistency properties and is quite general and well-grounded. This is done comparing it with alternative or anyway similar known and less known consistency definitions. The common root of these concepts is that they variously extend to imprecision the subjective probability approach championed by de Finetti. The analysis in the paper is also helpful in better clarifying severa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02092","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":"2026-05-18T02:25:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zr31U7wmXvoxM7+sAG/oJvKD1cxUGYfk41Ol+iATOJ6I81Aabul7ulVCcvdyLTyNzIanv2rEuxyvCZE2xVXYCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T12:38:46.826133Z"},"content_sha256":"99da9c2b4dadc16475ebe2fa2e4505a9e5d0ec352505dd8d98ce72d9146bebb2","schema_version":"1.0","event_id":"sha256:99da9c2b4dadc16475ebe2fa2e4505a9e5d0ec352505dd8d98ce72d9146bebb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZXUC6C2VXNY6PVGS6TDLMN2QPJ/bundle.json","state_url":"https://pith.science/pith/ZXUC6C2VXNY6PVGS6TDLMN2QPJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZXUC6C2VXNY6PVGS6TDLMN2QPJ/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":"2026-06-22T12:38:46Z","links":{"resolver":"https://pith.science/pith/ZXUC6C2VXNY6PVGS6TDLMN2QPJ","bundle":"https://pith.science/pith/ZXUC6C2VXNY6PVGS6TDLMN2QPJ/bundle.json","state":"https://pith.science/pith/ZXUC6C2VXNY6PVGS6TDLMN2QPJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZXUC6C2VXNY6PVGS6TDLMN2QPJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ZXUC6C2VXNY6PVGS6TDLMN2QPJ","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":"4d268d63d838f1ba110ac02514d7e286fa07a28648e387c79fd634e0991371d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-05T16:17:43Z","title_canon_sha256":"282492fd4f6f1ba13a701064c213a1ac90e4c3966fa82009038135a090fa00a3"},"schema_version":"1.0","source":{"id":"1503.02092","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.02092","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1503.02092v1","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.02092","created_at":"2026-05-18T02:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZXUC6C2VXNY6","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"ZXUC6C2VXNY6PVGS","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"ZXUC6C2V","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:99da9c2b4dadc16475ebe2fa2e4505a9e5d0ec352505dd8d98ce72d9146bebb2","target":"graph","created_at":"2026-05-18T02:25:25Z","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":"In this paper we discuss the consistency concept of Williams coherence for imprecise conditional previsions, presenting a variant of this notion, which we call W-coherence. It is shown that W-coherence ensures important consistency properties and is quite general and well-grounded. This is done comparing it with alternative or anyway similar known and less known consistency definitions. The common root of these concepts is that they variously extend to imprecision the subjective probability approach championed by de Finetti. The analysis in the paper is also helpful in better clarifying severa","authors_text":"Paolo Vicig, Renato Pelessoni","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-05T16:17:43Z","title":"Williams Coherence and Beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.02092","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":"sha256:1611207184d3a512ad74d115b37ae9106d736f8fbf0ffcb4967d2f1a31ff28f1","target":"record","created_at":"2026-05-18T02:25:25Z","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":"4d268d63d838f1ba110ac02514d7e286fa07a28648e387c79fd634e0991371d9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-03-05T16:17:43Z","title_canon_sha256":"282492fd4f6f1ba13a701064c213a1ac90e4c3966fa82009038135a090fa00a3"},"schema_version":"1.0","source":{"id":"1503.02092","kind":"arxiv","version":1}},"canonical_sha256":"cde82f0b55bb71e7d4d2f4c6b637507a423439e9a927f4e74368f20ef228c12b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cde82f0b55bb71e7d4d2f4c6b637507a423439e9a927f4e74368f20ef228c12b","first_computed_at":"2026-05-18T02:25:25.877582Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:25.877582Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rqU/I/VFK5TOhOqpX8hfPzszWyfIs4FwhYJQTze6PypvM0S6OR3eJi7yD3H8V283JIewCBSEMUcwqfE8PvS7Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:25.877934Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.02092","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1611207184d3a512ad74d115b37ae9106d736f8fbf0ffcb4967d2f1a31ff28f1","sha256:99da9c2b4dadc16475ebe2fa2e4505a9e5d0ec352505dd8d98ce72d9146bebb2"],"state_sha256":"a3bffbf87c8fcdf3376fad918181d97c01e8f0381f8a56a2786dc913bc05faad"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Dy1t1gDTpLKVbVO0QbmUN3Imu2RMJGlrHrk/f3c1EGkv59TjnAlHYq6MKxui2V8Tf4M7AB8jNgCfv8M7MQZCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T12:38:46.828074Z","bundle_sha256":"6824c2f75feb3194cae863858c71b40653b50edd82f854e3edc3f18f0de7c777"}}