{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:HR3EGDSVEY7X67SFCYH7LHKLV2","short_pith_number":"pith:HR3EGDSV","canonical_record":{"source":{"id":"math/0510453","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2005-10-21T08:15:36Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"70e295ee22eb545f81eca1d1da9aa0dd1c8f901a1322c20443b72a2a8865b39f","abstract_canon_sha256":"00272f9c690b34d66b0a88d91d0a887dd2d6778d68d2fe90540cccfab8c4c629"},"schema_version":"1.0"},"canonical_sha256":"3c76430e55263f7f7e45160ff59d4bae89855d3bd68249f6db946da08a5ba346","source":{"kind":"arxiv","id":"math/0510453","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0510453","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"arxiv_version","alias_value":"math/0510453v1","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0510453","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"pith_short_12","alias_value":"HR3EGDSVEY7X","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HR3EGDSVEY7X67SF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HR3EGDSV","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:HR3EGDSVEY7X67SFCYH7LHKLV2","target":"record","payload":{"canonical_record":{"source":{"id":"math/0510453","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.PR","submitted_at":"2005-10-21T08:15:36Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"70e295ee22eb545f81eca1d1da9aa0dd1c8f901a1322c20443b72a2a8865b39f","abstract_canon_sha256":"00272f9c690b34d66b0a88d91d0a887dd2d6778d68d2fe90540cccfab8c4c629"},"schema_version":"1.0"},"canonical_sha256":"3c76430e55263f7f7e45160ff59d4bae89855d3bd68249f6db946da08a5ba346","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:50.848466Z","signature_b64":"4qDQSL9jiGUb6uyWQwB55nIoeektYmprtoFblIQz17Vg8I+35r4taKpsaP88edpbd0JTSuxoHy7pJXn0IAi4DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c76430e55263f7f7e45160ff59d4bae89855d3bd68249f6db946da08a5ba346","last_reissued_at":"2026-05-18T01:08:50.847853Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:50.847853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0510453","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":"2026-05-18T01:08:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e5u9ThCenRIPuN7jx0UeGlwrnihGP/8NNPIdnbLkyua4cv3awftHQNlZP9srCUdM2RJGu0Vcspj6T6gvgNuoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T22:08:51.222983Z"},"content_sha256":"6f79ca0290f3b00c7429a118e16d23c06c2d2e195a13402987e9203be9ee0581","schema_version":"1.0","event_id":"sha256:6f79ca0290f3b00c7429a118e16d23c06c2d2e195a13402987e9203be9ee0581"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:HR3EGDSVEY7X67SFCYH7LHKLV2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Individual-based probabilistic models of adaptive evolution and various scaling approximations","license":"","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"math.PR","authors_text":"Nicolas Champagnat (MODAL'X), R\\'egis Ferri\\`ere, Sylvie M\\'el\\'eard (MODAL'X)","submitted_at":"2005-10-21T08:15:36Z","abstract_excerpt":"We are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population of discrete individuals characterized by one or several adaptive traits. The population is modelled as a stochastic point process whose generator captures the probabilistic dynamics over continuous time of birth, mutation, and death, as influenced by each individual's trait values, and interactions between individuals. An offspring usually inherits the trai"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0510453","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":"2026-05-18T01:08:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tp2arxazaPfL3VOA+918rE5JNJQcNndL6Mu8X7ia55ITHpCVtcX0HJWMDIXkEnUdnBHceR+6ryLiWI3cAr5mBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T22:08:51.223338Z"},"content_sha256":"b10eb48167cea60ca5378d2b2693f870972d30e16f9ccf6305eb692864341231","schema_version":"1.0","event_id":"sha256:b10eb48167cea60ca5378d2b2693f870972d30e16f9ccf6305eb692864341231"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HR3EGDSVEY7X67SFCYH7LHKLV2/bundle.json","state_url":"https://pith.science/pith/HR3EGDSVEY7X67SFCYH7LHKLV2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HR3EGDSVEY7X67SFCYH7LHKLV2/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":"2026-06-23T22:08:51Z","links":{"resolver":"https://pith.science/pith/HR3EGDSVEY7X67SFCYH7LHKLV2","bundle":"https://pith.science/pith/HR3EGDSVEY7X67SFCYH7LHKLV2/bundle.json","state":"https://pith.science/pith/HR3EGDSVEY7X67SFCYH7LHKLV2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HR3EGDSVEY7X67SFCYH7LHKLV2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:HR3EGDSVEY7X67SFCYH7LHKLV2","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":"00272f9c690b34d66b0a88d91d0a887dd2d6778d68d2fe90540cccfab8c4c629","cross_cats_sorted":["q-bio.PE"],"license":"","primary_cat":"math.PR","submitted_at":"2005-10-21T08:15:36Z","title_canon_sha256":"70e295ee22eb545f81eca1d1da9aa0dd1c8f901a1322c20443b72a2a8865b39f"},"schema_version":"1.0","source":{"id":"math/0510453","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0510453","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"arxiv_version","alias_value":"math/0510453v1","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0510453","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"pith_short_12","alias_value":"HR3EGDSVEY7X","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"HR3EGDSVEY7X67SF","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"HR3EGDSV","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:b10eb48167cea60ca5378d2b2693f870972d30e16f9ccf6305eb692864341231","target":"graph","created_at":"2026-05-18T01:08:50Z","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 are interested in modelling Darwinian evolution, resulting from the interplay of phenotypic variation and natural selection through ecological interactions. Our models are rooted in the microscopic, stochastic description of a population of discrete individuals characterized by one or several adaptive traits. The population is modelled as a stochastic point process whose generator captures the probabilistic dynamics over continuous time of birth, mutation, and death, as influenced by each individual's trait values, and interactions between individuals. An offspring usually inherits the trai","authors_text":"Nicolas Champagnat (MODAL'X), R\\'egis Ferri\\`ere, Sylvie M\\'el\\'eard (MODAL'X)","cross_cats":["q-bio.PE"],"headline":"","license":"","primary_cat":"math.PR","submitted_at":"2005-10-21T08:15:36Z","title":"Individual-based probabilistic models of adaptive evolution and various scaling approximations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0510453","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":"sha256:6f79ca0290f3b00c7429a118e16d23c06c2d2e195a13402987e9203be9ee0581","target":"record","created_at":"2026-05-18T01:08:50Z","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":"00272f9c690b34d66b0a88d91d0a887dd2d6778d68d2fe90540cccfab8c4c629","cross_cats_sorted":["q-bio.PE"],"license":"","primary_cat":"math.PR","submitted_at":"2005-10-21T08:15:36Z","title_canon_sha256":"70e295ee22eb545f81eca1d1da9aa0dd1c8f901a1322c20443b72a2a8865b39f"},"schema_version":"1.0","source":{"id":"math/0510453","kind":"arxiv","version":1}},"canonical_sha256":"3c76430e55263f7f7e45160ff59d4bae89855d3bd68249f6db946da08a5ba346","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c76430e55263f7f7e45160ff59d4bae89855d3bd68249f6db946da08a5ba346","first_computed_at":"2026-05-18T01:08:50.847853Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:50.847853Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4qDQSL9jiGUb6uyWQwB55nIoeektYmprtoFblIQz17Vg8I+35r4taKpsaP88edpbd0JTSuxoHy7pJXn0IAi4DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:50.848466Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0510453","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f79ca0290f3b00c7429a118e16d23c06c2d2e195a13402987e9203be9ee0581","sha256:b10eb48167cea60ca5378d2b2693f870972d30e16f9ccf6305eb692864341231"],"state_sha256":"cebb319f138887a731cc3dec8cd8fb529bcf2b73401181df2b48708e75c66c07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aWge2zxMVw+FAjdyyBdwz25KBED715AM8Tpjbndc/B2ZcfktkwoRP5HGLjN49K27JPK4PbejypBHW10aFYAQDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T22:08:51.225369Z","bundle_sha256":"b144a19e7123e46ae04c4e21d736638141481ae9e8dc97b6a838e85a61688a82"}}