{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:LDGOAD6TLTJH7WSX2BSI6NBSCC","short_pith_number":"pith:LDGOAD6T","canonical_record":{"source":{"id":"1503.04098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-13T15:17:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6b40d04abaacf35f8a69f14e75c5fd80dc8616d998e2c6db4e012880cbf44396","abstract_canon_sha256":"ebc37a1959272ae41f1dceb1cea9bcb9fdd97fa152f263b002226c65670f5969"},"schema_version":"1.0"},"canonical_sha256":"58cce00fd35cd27fda57d0648f343210af83b3f51ac103309a81ed90dd49465f","source":{"kind":"arxiv","id":"1503.04098","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04098","created_at":"2026-05-18T02:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04098v1","created_at":"2026-05-18T02:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04098","created_at":"2026-05-18T02:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"LDGOAD6TLTJH","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LDGOAD6TLTJH7WSX","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LDGOAD6T","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:LDGOAD6TLTJH7WSX2BSI6NBSCC","target":"record","payload":{"canonical_record":{"source":{"id":"1503.04098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-13T15:17:25Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"6b40d04abaacf35f8a69f14e75c5fd80dc8616d998e2c6db4e012880cbf44396","abstract_canon_sha256":"ebc37a1959272ae41f1dceb1cea9bcb9fdd97fa152f263b002226c65670f5969"},"schema_version":"1.0"},"canonical_sha256":"58cce00fd35cd27fda57d0648f343210af83b3f51ac103309a81ed90dd49465f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:23:57.064156Z","signature_b64":"FNJsyYao6bY1DdKxG96wGpz7Kb7Wg6/i8cPi16CMPu2UHPBALjr9sp3SEa9o7fafpNOEyR6+JityIF4sI0SoAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58cce00fd35cd27fda57d0648f343210af83b3f51ac103309a81ed90dd49465f","last_reissued_at":"2026-05-18T02:23:57.063537Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:23:57.063537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.04098","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":"2026-05-18T02:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"innJmousolGOOMn3XiubfsiJpVFS/GnCjOzjDUbSjQD4lZBuUDJgBuSngqhTR/9B8SfqjQ3Tq/ghXwRLr8tNAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:16:24.382690Z"},"content_sha256":"28764fc426de7621c9c1a8f554410da48c727c08ac67cf5df890fc3c05fe426d","schema_version":"1.0","event_id":"sha256:28764fc426de7621c9c1a8f554410da48c727c08ac67cf5df890fc3c05fe426d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:LDGOAD6TLTJH7WSX2BSI6NBSCC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Mathematics of the Jeffreys-Lindley Paradox","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Cristiano Villa, Stephen Walker","submitted_at":"2015-03-13T15:17:25Z","abstract_excerpt":"This paper is concerned with the well known Jeffreys-Lindley paradox. In a Bayesian set up, the so-called paradox arises when a point null hypothesis is tested and an objective prior is sought for the alternative hypothesis. In particular, the posterior for the null hypothesis tends to one when the uncertainty, i.e. the variance, for the parameter value goes to infinity. We argue that the appropriate way to deal with the paradox is to use simple mathematics, and that any philosophical argument is to be regarded as irrelevant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04098","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":"2026-05-18T02:23:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CyKpowPVLn8R5wZMEsfALKrUVn/CgFbO9m8ZaQvqlYFEzBaoSQ8XiI7qCfnEOEzvY2A03nbzujCrhKVD9bEFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T18:16:24.383346Z"},"content_sha256":"bd1dbb2d86b9f127471b504e50450786cabeaf245ff7ba42c304288e3499b096","schema_version":"1.0","event_id":"sha256:bd1dbb2d86b9f127471b504e50450786cabeaf245ff7ba42c304288e3499b096"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LDGOAD6TLTJH7WSX2BSI6NBSCC/bundle.json","state_url":"https://pith.science/pith/LDGOAD6TLTJH7WSX2BSI6NBSCC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LDGOAD6TLTJH7WSX2BSI6NBSCC/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":"2026-05-25T18:16:24Z","links":{"resolver":"https://pith.science/pith/LDGOAD6TLTJH7WSX2BSI6NBSCC","bundle":"https://pith.science/pith/LDGOAD6TLTJH7WSX2BSI6NBSCC/bundle.json","state":"https://pith.science/pith/LDGOAD6TLTJH7WSX2BSI6NBSCC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LDGOAD6TLTJH7WSX2BSI6NBSCC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:LDGOAD6TLTJH7WSX2BSI6NBSCC","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":"ebc37a1959272ae41f1dceb1cea9bcb9fdd97fa152f263b002226c65670f5969","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-13T15:17:25Z","title_canon_sha256":"6b40d04abaacf35f8a69f14e75c5fd80dc8616d998e2c6db4e012880cbf44396"},"schema_version":"1.0","source":{"id":"1503.04098","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.04098","created_at":"2026-05-18T02:23:57Z"},{"alias_kind":"arxiv_version","alias_value":"1503.04098v1","created_at":"2026-05-18T02:23:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.04098","created_at":"2026-05-18T02:23:57Z"},{"alias_kind":"pith_short_12","alias_value":"LDGOAD6TLTJH","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"LDGOAD6TLTJH7WSX","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"LDGOAD6T","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:bd1dbb2d86b9f127471b504e50450786cabeaf245ff7ba42c304288e3499b096","target":"graph","created_at":"2026-05-18T02:23:57Z","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":"This paper is concerned with the well known Jeffreys-Lindley paradox. In a Bayesian set up, the so-called paradox arises when a point null hypothesis is tested and an objective prior is sought for the alternative hypothesis. In particular, the posterior for the null hypothesis tends to one when the uncertainty, i.e. the variance, for the parameter value goes to infinity. We argue that the appropriate way to deal with the paradox is to use simple mathematics, and that any philosophical argument is to be regarded as irrelevant.","authors_text":"Cristiano Villa, Stephen Walker","cross_cats":["stat.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-13T15:17:25Z","title":"On the Mathematics of the Jeffreys-Lindley Paradox"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.04098","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":"sha256:28764fc426de7621c9c1a8f554410da48c727c08ac67cf5df890fc3c05fe426d","target":"record","created_at":"2026-05-18T02:23:57Z","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":"ebc37a1959272ae41f1dceb1cea9bcb9fdd97fa152f263b002226c65670f5969","cross_cats_sorted":["stat.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2015-03-13T15:17:25Z","title_canon_sha256":"6b40d04abaacf35f8a69f14e75c5fd80dc8616d998e2c6db4e012880cbf44396"},"schema_version":"1.0","source":{"id":"1503.04098","kind":"arxiv","version":1}},"canonical_sha256":"58cce00fd35cd27fda57d0648f343210af83b3f51ac103309a81ed90dd49465f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58cce00fd35cd27fda57d0648f343210af83b3f51ac103309a81ed90dd49465f","first_computed_at":"2026-05-18T02:23:57.063537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:23:57.063537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FNJsyYao6bY1DdKxG96wGpz7Kb7Wg6/i8cPi16CMPu2UHPBALjr9sp3SEa9o7fafpNOEyR6+JityIF4sI0SoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:23:57.064156Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.04098","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:28764fc426de7621c9c1a8f554410da48c727c08ac67cf5df890fc3c05fe426d","sha256:bd1dbb2d86b9f127471b504e50450786cabeaf245ff7ba42c304288e3499b096"],"state_sha256":"706eb927331d073bb75fa87e7fc7066e200b89d3176c5dfaf8bc340907006735"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I4PV7vLKgnX9YmQ8DdxZhl4mBpLmWfnnmEVqWjnmdCJ0rc+mycWrnEUYRgHiKoSvq8uTPKDKAt7/VeNEV36eBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T18:16:24.386204Z","bundle_sha256":"5ada399b5bf571dc90cd016b970e175f5d943f861d9de23efcbeb01525c0ef85"}}