{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:HU3FEJOKDFHSCXNBV4A5GRICFU","short_pith_number":"pith:HU3FEJOK","canonical_record":{"source":{"id":"2206.03954","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-06-08T15:20:46Z","cross_cats_sorted":["cs.LG","math.DS"],"title_canon_sha256":"1cc6efc92cfcd194caeaeb6bb7b52aedb34cd515a7dc47a5c09e2ec7bec572e4","abstract_canon_sha256":"bba5335c368057bce87fca3d08ef03e3f9032f7d0751f91bcc38cb3d7ab40716"},"schema_version":"1.0"},"canonical_sha256":"3d365225ca194f215da1af01d345022d028a683b12d73315b89852893853cd64","source":{"kind":"arxiv","id":"2206.03954","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.03954","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"2206.03954v1","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.03954","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"HU3FEJOKDFHS","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"HU3FEJOKDFHSCXNB","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"HU3FEJOK","created_at":"2026-07-05T04:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:HU3FEJOKDFHSCXNBV4A5GRICFU","target":"record","payload":{"canonical_record":{"source":{"id":"2206.03954","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-06-08T15:20:46Z","cross_cats_sorted":["cs.LG","math.DS"],"title_canon_sha256":"1cc6efc92cfcd194caeaeb6bb7b52aedb34cd515a7dc47a5c09e2ec7bec572e4","abstract_canon_sha256":"bba5335c368057bce87fca3d08ef03e3f9032f7d0751f91bcc38cb3d7ab40716"},"schema_version":"1.0"},"canonical_sha256":"3d365225ca194f215da1af01d345022d028a683b12d73315b89852893853cd64","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:30:15.391595Z","signature_b64":"/oxLLCiwlUWL+0ZyyYtIUJbfNnAE2N2bRGij9C9bPj4rvJ9T2BMci1UNluVExgKF5Lw1PbDqZeZMDMPCOx+eDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d365225ca194f215da1af01d345022d028a683b12d73315b89852893853cd64","last_reissued_at":"2026-07-05T04:30:15.391117Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:30:15.391117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2206.03954","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":"2026-07-05T04:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uT1BjM+qKlckHD3yMq9NH+kMyTsxpDorzt1rKwwk5GJiyG+o7v5w2MeQBHdi/3F9PEOJyVzGX7rETqGtIBNOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T01:21:43.108515Z"},"content_sha256":"6f340d4c62056b7aef0ffdb6201f01372ef4be0669f88bcf8cd993c3b265c8c9","schema_version":"1.0","event_id":"sha256:6f340d4c62056b7aef0ffdb6201f01372ef4be0669f88bcf8cd993c3b265c8c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:HU3FEJOKDFHSCXNBV4A5GRICFU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mathematical model bridges disparate timescales of lifelong learning","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.LG","math.DS"],"primary_cat":"physics.soc-ph","authors_text":"Mingzhen Lu, Tyler Marghetis, Vicky Chuqiao Yang","submitted_at":"2022-06-08T15:20:46Z","abstract_excerpt":"Lifelong learning occurs on timescales ranging from minutes to decades. People can lose themselves in a new skill, practicing for hours until exhausted. And they can pursue mastery over days or decades, perhaps abandoning old skills entirely to seek out new challenges. A full understanding of learning requires an account that integrates these timescales. Here, we present a minimal quantitative model that unifies the nested timescales of learning. Our dynamical model recovers classic accounts of skill acquisition, and describes how learning emerges from moment-to-moment dynamics of motivation, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.03954","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2206.03954/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T04:30:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"obRjHCBgHi1TIWL0Qdl9S1xKvrKuSusv16ZvnpHRvORNpR/ewN5kkSaDchdGKBp2l8ZYGDiwT9CZQAjVd585Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-17T01:21:43.108903Z"},"content_sha256":"7a63474736ece2557da756cc0614845788185149fa9b43061409b5ad78912fcd","schema_version":"1.0","event_id":"sha256:7a63474736ece2557da756cc0614845788185149fa9b43061409b5ad78912fcd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HU3FEJOKDFHSCXNBV4A5GRICFU/bundle.json","state_url":"https://pith.science/pith/HU3FEJOKDFHSCXNBV4A5GRICFU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HU3FEJOKDFHSCXNBV4A5GRICFU/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":"2026-07-17T01:21:43Z","links":{"resolver":"https://pith.science/pith/HU3FEJOKDFHSCXNBV4A5GRICFU","bundle":"https://pith.science/pith/HU3FEJOKDFHSCXNBV4A5GRICFU/bundle.json","state":"https://pith.science/pith/HU3FEJOKDFHSCXNBV4A5GRICFU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HU3FEJOKDFHSCXNBV4A5GRICFU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:HU3FEJOKDFHSCXNBV4A5GRICFU","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":"bba5335c368057bce87fca3d08ef03e3f9032f7d0751f91bcc38cb3d7ab40716","cross_cats_sorted":["cs.LG","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-06-08T15:20:46Z","title_canon_sha256":"1cc6efc92cfcd194caeaeb6bb7b52aedb34cd515a7dc47a5c09e2ec7bec572e4"},"schema_version":"1.0","source":{"id":"2206.03954","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.03954","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"2206.03954v1","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.03954","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"HU3FEJOKDFHS","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"HU3FEJOKDFHSCXNB","created_at":"2026-07-05T04:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"HU3FEJOK","created_at":"2026-07-05T04:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:7a63474736ece2557da756cc0614845788185149fa9b43061409b5ad78912fcd","target":"graph","created_at":"2026-07-05T04:30:15Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2206.03954/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Lifelong learning occurs on timescales ranging from minutes to decades. People can lose themselves in a new skill, practicing for hours until exhausted. And they can pursue mastery over days or decades, perhaps abandoning old skills entirely to seek out new challenges. A full understanding of learning requires an account that integrates these timescales. Here, we present a minimal quantitative model that unifies the nested timescales of learning. Our dynamical model recovers classic accounts of skill acquisition, and describes how learning emerges from moment-to-moment dynamics of motivation, ","authors_text":"Mingzhen Lu, Tyler Marghetis, Vicky Chuqiao Yang","cross_cats":["cs.LG","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-06-08T15:20:46Z","title":"Mathematical model bridges disparate timescales of lifelong learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.03954","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":"sha256:6f340d4c62056b7aef0ffdb6201f01372ef4be0669f88bcf8cd993c3b265c8c9","target":"record","created_at":"2026-07-05T04:30:15Z","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":"bba5335c368057bce87fca3d08ef03e3f9032f7d0751f91bcc38cb3d7ab40716","cross_cats_sorted":["cs.LG","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.soc-ph","submitted_at":"2022-06-08T15:20:46Z","title_canon_sha256":"1cc6efc92cfcd194caeaeb6bb7b52aedb34cd515a7dc47a5c09e2ec7bec572e4"},"schema_version":"1.0","source":{"id":"2206.03954","kind":"arxiv","version":1}},"canonical_sha256":"3d365225ca194f215da1af01d345022d028a683b12d73315b89852893853cd64","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d365225ca194f215da1af01d345022d028a683b12d73315b89852893853cd64","first_computed_at":"2026-07-05T04:30:15.391117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:30:15.391117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/oxLLCiwlUWL+0ZyyYtIUJbfNnAE2N2bRGij9C9bPj4rvJ9T2BMci1UNluVExgKF5Lw1PbDqZeZMDMPCOx+eDA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:30:15.391595Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.03954","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6f340d4c62056b7aef0ffdb6201f01372ef4be0669f88bcf8cd993c3b265c8c9","sha256:7a63474736ece2557da756cc0614845788185149fa9b43061409b5ad78912fcd"],"state_sha256":"17cbb00c018b7b9e3112711842163215bca08cca44a253cb19587f5ca180199e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmdlTQT+nY2qOa3NfmKpcOQT5/0q+6dPmmMvuwd0I9qKr8B26B6+5j7aYp20wn+tVjC25NmDXg1N2OC1F+3JCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-17T01:21:43.111377Z","bundle_sha256":"65a5b43aee23284488010336b39cd98371a5aadcfaebfa2d627bff9efc7880f3"}}