{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:Q3QS7S5DGA6LMOEPXANFOACA6H","short_pith_number":"pith:Q3QS7S5D","canonical_record":{"source":{"id":"1205.6634","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-30T11:27:22Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"f2dea41782bb02868094603c6a56140623135c4e9711d14ac413bc25c7eec4a2","abstract_canon_sha256":"e6adc3a4f14dd17415c054ebc28021dc5939583f1a6a18817d2fca330efa05d0"},"schema_version":"1.0"},"canonical_sha256":"86e12fcba3303cb6388fb81a570040f1c666f02eb443f8912ce45b7077e6632d","source":{"kind":"arxiv","id":"1205.6634","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.6634","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1205.6634v2","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6634","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"Q3QS7S5DGA6L","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q3QS7S5DGA6LMOEP","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q3QS7S5D","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:Q3QS7S5DGA6LMOEPXANFOACA6H","target":"record","payload":{"canonical_record":{"source":{"id":"1205.6634","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-30T11:27:22Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"f2dea41782bb02868094603c6a56140623135c4e9711d14ac413bc25c7eec4a2","abstract_canon_sha256":"e6adc3a4f14dd17415c054ebc28021dc5939583f1a6a18817d2fca330efa05d0"},"schema_version":"1.0"},"canonical_sha256":"86e12fcba3303cb6388fb81a570040f1c666f02eb443f8912ce45b7077e6632d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:40.669717Z","signature_b64":"lM+UDxlZIgt4nWUpL9WKi8yazDEHAxjZ1SVMvP35ImbiAC29SZD51HRP7aFhXyd0o/icg1hWK/R9W5b8IhYwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86e12fcba3303cb6388fb81a570040f1c666f02eb443f8912ce45b7077e6632d","last_reissued_at":"2026-05-18T03:22:40.669243Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:40.669243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.6634","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":"2026-05-18T03:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YAEdNokfyZk2U2Gsk0HxK0CqYtzoSt/gHc1aAhN+HXbtlIY5Ayajs1J8qrWwELp6JyceibZVcEgg3E+SbraiAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:35:42.110637Z"},"content_sha256":"6a78adf0bd0bf3958556fb9d90824d7097e38aaff5e3510ec7cd221f827cdd0c","schema_version":"1.0","event_id":"sha256:6a78adf0bd0bf3958556fb9d90824d7097e38aaff5e3510ec7cd221f827cdd0c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:Q3QS7S5DGA6LMOEPXANFOACA6H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"New Scale Factor Measure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Raphael Bousso","submitted_at":"2012-05-30T11:27:22Z","abstract_excerpt":"The computation of probabilities in an eternally inflating universe requires a regulator or \"measure\". The scale factor time measure truncates the universe when a congruence of timelike geodesics has expanded by a fixed volume factor. This definition breaks down if the generating congruence is contracting---a serious limitation that excludes from consideration gravitationally bound regions such as our own. Here we propose a closely related regulator which is well-defined in the entire spacetime. The New Scale Factor Cutoff restricts to events with scale factor below a given value. Since the sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6634","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":"2026-05-18T03:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cmf56oCQwkHBxckp0NiSDAw8yriLOdQ1wbLPKQx8rqpYZbwBScFVyVxbnY71+oR2BNm9lgZhSnlqUOUeLj/9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T00:35:42.111372Z"},"content_sha256":"ec144f4f23b123699b44ea0bae78c54ee80cedbcc409c439fb84227b02a9b9aa","schema_version":"1.0","event_id":"sha256:ec144f4f23b123699b44ea0bae78c54ee80cedbcc409c439fb84227b02a9b9aa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q3QS7S5DGA6LMOEPXANFOACA6H/bundle.json","state_url":"https://pith.science/pith/Q3QS7S5DGA6LMOEPXANFOACA6H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q3QS7S5DGA6LMOEPXANFOACA6H/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":"2026-05-26T00:35:42Z","links":{"resolver":"https://pith.science/pith/Q3QS7S5DGA6LMOEPXANFOACA6H","bundle":"https://pith.science/pith/Q3QS7S5DGA6LMOEPXANFOACA6H/bundle.json","state":"https://pith.science/pith/Q3QS7S5DGA6LMOEPXANFOACA6H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q3QS7S5DGA6LMOEPXANFOACA6H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:Q3QS7S5DGA6LMOEPXANFOACA6H","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":"e6adc3a4f14dd17415c054ebc28021dc5939583f1a6a18817d2fca330efa05d0","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-30T11:27:22Z","title_canon_sha256":"f2dea41782bb02868094603c6a56140623135c4e9711d14ac413bc25c7eec4a2"},"schema_version":"1.0","source":{"id":"1205.6634","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.6634","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1205.6634v2","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.6634","created_at":"2026-05-18T03:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"Q3QS7S5DGA6L","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"Q3QS7S5DGA6LMOEP","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"Q3QS7S5D","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:ec144f4f23b123699b44ea0bae78c54ee80cedbcc409c439fb84227b02a9b9aa","target":"graph","created_at":"2026-05-18T03:22:40Z","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":"The computation of probabilities in an eternally inflating universe requires a regulator or \"measure\". The scale factor time measure truncates the universe when a congruence of timelike geodesics has expanded by a fixed volume factor. This definition breaks down if the generating congruence is contracting---a serious limitation that excludes from consideration gravitationally bound regions such as our own. Here we propose a closely related regulator which is well-defined in the entire spacetime. The New Scale Factor Cutoff restricts to events with scale factor below a given value. Since the sc","authors_text":"Raphael Bousso","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-30T11:27:22Z","title":"New Scale Factor Measure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6634","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":"sha256:6a78adf0bd0bf3958556fb9d90824d7097e38aaff5e3510ec7cd221f827cdd0c","target":"record","created_at":"2026-05-18T03:22:40Z","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":"e6adc3a4f14dd17415c054ebc28021dc5939583f1a6a18817d2fca330efa05d0","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-05-30T11:27:22Z","title_canon_sha256":"f2dea41782bb02868094603c6a56140623135c4e9711d14ac413bc25c7eec4a2"},"schema_version":"1.0","source":{"id":"1205.6634","kind":"arxiv","version":2}},"canonical_sha256":"86e12fcba3303cb6388fb81a570040f1c666f02eb443f8912ce45b7077e6632d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86e12fcba3303cb6388fb81a570040f1c666f02eb443f8912ce45b7077e6632d","first_computed_at":"2026-05-18T03:22:40.669243Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:40.669243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lM+UDxlZIgt4nWUpL9WKi8yazDEHAxjZ1SVMvP35ImbiAC29SZD51HRP7aFhXyd0o/icg1hWK/R9W5b8IhYwBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:40.669717Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.6634","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a78adf0bd0bf3958556fb9d90824d7097e38aaff5e3510ec7cd221f827cdd0c","sha256:ec144f4f23b123699b44ea0bae78c54ee80cedbcc409c439fb84227b02a9b9aa"],"state_sha256":"aa1c4dc63f037c8e2bfac693b6e6e684de978fd30b81f168adf11a4389ca2bca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2nc4YFN18IQc41AWF9ciTYAW63+P/X5f6Kp8fvyCZBoGuCucPkLBurXHTTlrE4Gt0F1jGlW4lpwXJty5CyMJBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T00:35:42.115547Z","bundle_sha256":"d0251f8db61dc3b1ca07f0baac540b56142c9e877760651046b0d0fb7212f0ef"}}