{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:VI42M24OOAZLIBTLWGD5TURGT4","short_pith_number":"pith:VI42M24O","canonical_record":{"source":{"id":"1512.00163","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2015-12-01T07:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"a5603f31ceafaca2bb7e17bc08d336092043e3fc9e14e290157aa7e42ce8a1db","abstract_canon_sha256":"1d0313a25cce133cbe1440a51cdffb343d40db034fab9825de66e8ee1a20fc45"},"schema_version":"1.0"},"canonical_sha256":"aa39a66b8e7032b4066bb187d9d2269f02f4c88309dffe1ec94f1a11b6018c68","source":{"kind":"arxiv","id":"1512.00163","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00163","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00163v1","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00163","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"pith_short_12","alias_value":"VI42M24OOAZL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VI42M24OOAZLIBTL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VI42M24O","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:VI42M24OOAZLIBTLWGD5TURGT4","target":"record","payload":{"canonical_record":{"source":{"id":"1512.00163","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2015-12-01T07:04:10Z","cross_cats_sorted":[],"title_canon_sha256":"a5603f31ceafaca2bb7e17bc08d336092043e3fc9e14e290157aa7e42ce8a1db","abstract_canon_sha256":"1d0313a25cce133cbe1440a51cdffb343d40db034fab9825de66e8ee1a20fc45"},"schema_version":"1.0"},"canonical_sha256":"aa39a66b8e7032b4066bb187d9d2269f02f4c88309dffe1ec94f1a11b6018c68","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:32.584932Z","signature_b64":"Mk0fk327rsPPUHzG+BcXip/o+7Zzeez9X9LrQHaqcf85PHC/2xn45ulIigVPd3KzoS7HlKROpDI0Q2tQvwhPDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa39a66b8e7032b4066bb187d9d2269f02f4c88309dffe1ec94f1a11b6018c68","last_reissued_at":"2026-05-18T01:25:32.584468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:32.584468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.00163","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":"2026-05-18T01:25:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ovH3xnGC/Wlwv1KY43eZK410TZYYBDh97SLE7uXiUkOWUJS5mUlCVCskiosWm8Zlg5VLudoohSZPDfwQyDb4BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:12:06.970639Z"},"content_sha256":"b1b58833afdd3231d0b26ad44754df96a650aa68392e22ede81a6adc5f7dcc2c","schema_version":"1.0","event_id":"sha256:b1b58833afdd3231d0b26ad44754df96a650aa68392e22ede81a6adc5f7dcc2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:VI42M24OOAZLIBTLWGD5TURGT4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The probability of improvement in Fisher's geometric model: a probabilistic approach","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Lilach Hadany, Yoav Ram","submitted_at":"2015-12-01T07:04:10Z","abstract_excerpt":"Fisher developed his geometric model to support the micro-mutationalism hypothesis which claims that small mutations are more likely to be beneficial and therefore to contribute to evolution and adaptation. While others have provided a general solution to the model using geometric approaches, we derive an equivalent general solution using a probabilistic approach. Our approach to Fisher's geometric model provides alternative intuition and interpretation of the solution in terms of the model's parameters: for mutation to improve a phenotype, its relative beneficial effect must be larger than th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00163","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":"2026-05-18T01:25:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PCuNrGhilVLwsCb3N/nrvqDcVotLB8CpIatxl1Fu4y1SEyBSZQml3SLKBskMt4gBwSRKkNCcZiXq2GVtue7jDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T19:12:06.971390Z"},"content_sha256":"30380eca775a8caa8b8f23b0d999e2a0feb1487995a845085e2a247e4b55e145","schema_version":"1.0","event_id":"sha256:30380eca775a8caa8b8f23b0d999e2a0feb1487995a845085e2a247e4b55e145"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VI42M24OOAZLIBTLWGD5TURGT4/bundle.json","state_url":"https://pith.science/pith/VI42M24OOAZLIBTLWGD5TURGT4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VI42M24OOAZLIBTLWGD5TURGT4/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":"2026-05-31T19:12:06Z","links":{"resolver":"https://pith.science/pith/VI42M24OOAZLIBTLWGD5TURGT4","bundle":"https://pith.science/pith/VI42M24OOAZLIBTLWGD5TURGT4/bundle.json","state":"https://pith.science/pith/VI42M24OOAZLIBTLWGD5TURGT4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VI42M24OOAZLIBTLWGD5TURGT4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VI42M24OOAZLIBTLWGD5TURGT4","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":"1d0313a25cce133cbe1440a51cdffb343d40db034fab9825de66e8ee1a20fc45","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2015-12-01T07:04:10Z","title_canon_sha256":"a5603f31ceafaca2bb7e17bc08d336092043e3fc9e14e290157aa7e42ce8a1db"},"schema_version":"1.0","source":{"id":"1512.00163","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00163","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00163v1","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00163","created_at":"2026-05-18T01:25:32Z"},{"alias_kind":"pith_short_12","alias_value":"VI42M24OOAZL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VI42M24OOAZLIBTL","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VI42M24O","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:30380eca775a8caa8b8f23b0d999e2a0feb1487995a845085e2a247e4b55e145","target":"graph","created_at":"2026-05-18T01:25:32Z","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":"Fisher developed his geometric model to support the micro-mutationalism hypothesis which claims that small mutations are more likely to be beneficial and therefore to contribute to evolution and adaptation. While others have provided a general solution to the model using geometric approaches, we derive an equivalent general solution using a probabilistic approach. Our approach to Fisher's geometric model provides alternative intuition and interpretation of the solution in terms of the model's parameters: for mutation to improve a phenotype, its relative beneficial effect must be larger than th","authors_text":"Lilach Hadany, Yoav Ram","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2015-12-01T07:04:10Z","title":"The probability of improvement in Fisher's geometric model: a probabilistic approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00163","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:b1b58833afdd3231d0b26ad44754df96a650aa68392e22ede81a6adc5f7dcc2c","target":"record","created_at":"2026-05-18T01:25:32Z","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":"1d0313a25cce133cbe1440a51cdffb343d40db034fab9825de66e8ee1a20fc45","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.PE","submitted_at":"2015-12-01T07:04:10Z","title_canon_sha256":"a5603f31ceafaca2bb7e17bc08d336092043e3fc9e14e290157aa7e42ce8a1db"},"schema_version":"1.0","source":{"id":"1512.00163","kind":"arxiv","version":1}},"canonical_sha256":"aa39a66b8e7032b4066bb187d9d2269f02f4c88309dffe1ec94f1a11b6018c68","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aa39a66b8e7032b4066bb187d9d2269f02f4c88309dffe1ec94f1a11b6018c68","first_computed_at":"2026-05-18T01:25:32.584468Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:32.584468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mk0fk327rsPPUHzG+BcXip/o+7Zzeez9X9LrQHaqcf85PHC/2xn45ulIigVPd3KzoS7HlKROpDI0Q2tQvwhPDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:32.584932Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00163","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1b58833afdd3231d0b26ad44754df96a650aa68392e22ede81a6adc5f7dcc2c","sha256:30380eca775a8caa8b8f23b0d999e2a0feb1487995a845085e2a247e4b55e145"],"state_sha256":"f862cb321ad9f5eef18793905c3c499a3ea7b8202482f0ff3b1dfeb33f768abb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zh11jvSe9FF4oar7RU3hgIKuihMo0g3iXp5loQUGXzeI+E28riqBrU6QgAgL0mXyVt0esrJShtim/GW6bP8HBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T19:12:06.975550Z","bundle_sha256":"0de3abc06c011e14fa3c52a2b1b2aa733ebc1bf035ca30e2b743dd33058a8042"}}