{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:O5Z4DWBTKZ42VP5JP4VHSTITBH","short_pith_number":"pith:O5Z4DWBT","canonical_record":{"source":{"id":"1408.4854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-21T02:11:48Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"2678c397a36736ecc2b73d0421067539938e47c7c612ff07eaf4ba217c640ead","abstract_canon_sha256":"c6c739b8202fbc4f6a2c990ec5768073cc0d56669ef6b94f0cdc43d396895db4"},"schema_version":"1.0"},"canonical_sha256":"7773c1d8335679aabfa97f2a794d1309cdbdb8b1c9f3dc07fb37d90454c143c4","source":{"kind":"arxiv","id":"1408.4854","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4854","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4854v2","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4854","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"O5Z4DWBTKZ42","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O5Z4DWBTKZ42VP5J","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O5Z4DWBT","created_at":"2026-05-18T12:28:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:O5Z4DWBTKZ42VP5JP4VHSTITBH","target":"record","payload":{"canonical_record":{"source":{"id":"1408.4854","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-21T02:11:48Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"2678c397a36736ecc2b73d0421067539938e47c7c612ff07eaf4ba217c640ead","abstract_canon_sha256":"c6c739b8202fbc4f6a2c990ec5768073cc0d56669ef6b94f0cdc43d396895db4"},"schema_version":"1.0"},"canonical_sha256":"7773c1d8335679aabfa97f2a794d1309cdbdb8b1c9f3dc07fb37d90454c143c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:15.018887Z","signature_b64":"RHs887oFA62QatBU5I23D0XQ8VrrAPGP38uOm8T+Ct7Mg292+HeUCKf1X0qN+RxRJsnZXtjvUquqQLed2JpsCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7773c1d8335679aabfa97f2a794d1309cdbdb8b1c9f3dc07fb37d90454c143c4","last_reissued_at":"2026-05-18T01:18:15.018180Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:15.018180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.4854","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PCQd4pQ3va86L88dRwKLVUpXGU1BtaoZhJ1NN1nAg2pRwroZAwPPmcKkgx82y2e71gGr+jt4owO1Xk9OTk0RDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:28:48.693839Z"},"content_sha256":"ca062dce5716b5b7acac74b2d663386506bc0e50b1673e38d7c3f54cd94c0b13","schema_version":"1.0","event_id":"sha256:ca062dce5716b5b7acac74b2d663386506bc0e50b1673e38d7c3f54cd94c0b13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:O5Z4DWBTKZ42VP5JP4VHSTITBH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Continuum of Discrete Trajectories in Eternal Inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Vitaly Vanchurin","submitted_at":"2014-08-21T02:11:48Z","abstract_excerpt":"We discuss eternal inflation in context of classical probability spaces defined by a triplet: sample space, $\\sigma$-algebra and probability measure. We show that the measure problem is caused by the countable additivity axiom applied to the maximal $\\sigma$-algebra of countably infinite sample spaces. This is a serious problem if the bulk space-time is treated as a sample space which is thought to be effectively countably infinite due to local quantum uncertainties. However, in semiclassical description of eternal inflation the physical space expands exponentially which makes the sample space"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4854","kind":"arxiv","version":2},"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":"2026-05-18T01:18:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RJT0bAfHcVveFQNwv3gt3hm04l2WktKPbPpYFWWVwsqb+We+8FpnSYJRx0FCwt6sLKBy4z7CLKbLAgIAorBBCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:28:48.694566Z"},"content_sha256":"864e53c6d0fefd16d58ba8fc5694aaaa7513b6a97a3ba4a780b614e846599110","schema_version":"1.0","event_id":"sha256:864e53c6d0fefd16d58ba8fc5694aaaa7513b6a97a3ba4a780b614e846599110"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O5Z4DWBTKZ42VP5JP4VHSTITBH/bundle.json","state_url":"https://pith.science/pith/O5Z4DWBTKZ42VP5JP4VHSTITBH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O5Z4DWBTKZ42VP5JP4VHSTITBH/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":"2026-06-10T05:28:48Z","links":{"resolver":"https://pith.science/pith/O5Z4DWBTKZ42VP5JP4VHSTITBH","bundle":"https://pith.science/pith/O5Z4DWBTKZ42VP5JP4VHSTITBH/bundle.json","state":"https://pith.science/pith/O5Z4DWBTKZ42VP5JP4VHSTITBH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O5Z4DWBTKZ42VP5JP4VHSTITBH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:O5Z4DWBTKZ42VP5JP4VHSTITBH","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":"c6c739b8202fbc4f6a2c990ec5768073cc0d56669ef6b94f0cdc43d396895db4","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-21T02:11:48Z","title_canon_sha256":"2678c397a36736ecc2b73d0421067539938e47c7c612ff07eaf4ba217c640ead"},"schema_version":"1.0","source":{"id":"1408.4854","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.4854","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"arxiv_version","alias_value":"1408.4854v2","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.4854","created_at":"2026-05-18T01:18:15Z"},{"alias_kind":"pith_short_12","alias_value":"O5Z4DWBTKZ42","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O5Z4DWBTKZ42VP5J","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O5Z4DWBT","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:864e53c6d0fefd16d58ba8fc5694aaaa7513b6a97a3ba4a780b614e846599110","target":"graph","created_at":"2026-05-18T01:18:15Z","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":"We discuss eternal inflation in context of classical probability spaces defined by a triplet: sample space, $\\sigma$-algebra and probability measure. We show that the measure problem is caused by the countable additivity axiom applied to the maximal $\\sigma$-algebra of countably infinite sample spaces. This is a serious problem if the bulk space-time is treated as a sample space which is thought to be effectively countably infinite due to local quantum uncertainties. However, in semiclassical description of eternal inflation the physical space expands exponentially which makes the sample space","authors_text":"Vitaly Vanchurin","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-21T02:11:48Z","title":"The Continuum of Discrete Trajectories in Eternal Inflation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.4854","kind":"arxiv","version":2},"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:ca062dce5716b5b7acac74b2d663386506bc0e50b1673e38d7c3f54cd94c0b13","target":"record","created_at":"2026-05-18T01:18:15Z","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":"c6c739b8202fbc4f6a2c990ec5768073cc0d56669ef6b94f0cdc43d396895db4","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-21T02:11:48Z","title_canon_sha256":"2678c397a36736ecc2b73d0421067539938e47c7c612ff07eaf4ba217c640ead"},"schema_version":"1.0","source":{"id":"1408.4854","kind":"arxiv","version":2}},"canonical_sha256":"7773c1d8335679aabfa97f2a794d1309cdbdb8b1c9f3dc07fb37d90454c143c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7773c1d8335679aabfa97f2a794d1309cdbdb8b1c9f3dc07fb37d90454c143c4","first_computed_at":"2026-05-18T01:18:15.018180Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:15.018180Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RHs887oFA62QatBU5I23D0XQ8VrrAPGP38uOm8T+Ct7Mg292+HeUCKf1X0qN+RxRJsnZXtjvUquqQLed2JpsCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:15.018887Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.4854","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca062dce5716b5b7acac74b2d663386506bc0e50b1673e38d7c3f54cd94c0b13","sha256:864e53c6d0fefd16d58ba8fc5694aaaa7513b6a97a3ba4a780b614e846599110"],"state_sha256":"7d721779357a3d3fddca80944d8e9fa701637af06e6c96a93a1979885f6ccfcb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PiR5xosEQYoTbDshMTUrRoiwnf4cpA3pxKIBU6u0CYwHRv61f4Y8UdaxU/fVt0/07sC2YLXqJYsyxI9I+Al3BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:28:48.698998Z","bundle_sha256":"a512ef61c77e4fd130836aa0bbb017347a03d7959b16497f85b5648af76e146b"}}