{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AVI4PJWKOGTI4CMAXQ62MJLQA2","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":"d245ec9b4c2f801c9351ed4ec589975910ad8e6edd538a70d90efdcb06712e7e","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-04-30T23:56:51Z","title_canon_sha256":"ac7c29641341cc38a5293f4f3f62fa12115d1ae40516a8cb57d3428042860dde"},"schema_version":"1.0","source":{"id":"1205.0057","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0057","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0057v2","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0057","created_at":"2026-05-18T03:44:15Z"},{"alias_kind":"pith_short_12","alias_value":"AVI4PJWKOGTI","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AVI4PJWKOGTI4CMA","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AVI4PJWK","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:9ec9a1b795c7c2c50d4364c9066799b2187d928b13e2a6d68da67ecce2c06f6c","target":"graph","created_at":"2026-05-18T03:44:15Z","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":"An analysis of marathon pacing and elevation change is presented. It is based on an empirical observation of how the pace of elite and non-elite marathon runners change over the course of the marathon and a simple approximation of the energy cost of ascent and decent. It was observed that the pace of the runners slowed in a regular manner that could be broken up into four regions. That observation can be used to project target paces for a desired marathon finish time. However, that estimate fails to take in to account the energetic costs of elevation changes (hills) along the marathon course. ","authors_text":"J. B. Elliott","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-04-30T23:56:51Z","title":"Marathon pacing and elevation change"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0057","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":"sha256:36e89057e7103a79ff08423430501ae00f03b15ad181cfb18d7cf91ea032a0c0","target":"record","created_at":"2026-05-18T03:44:15Z","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":"d245ec9b4c2f801c9351ed4ec589975910ad8e6edd538a70d90efdcb06712e7e","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.pop-ph","submitted_at":"2012-04-30T23:56:51Z","title_canon_sha256":"ac7c29641341cc38a5293f4f3f62fa12115d1ae40516a8cb57d3428042860dde"},"schema_version":"1.0","source":{"id":"1205.0057","kind":"arxiv","version":2}},"canonical_sha256":"0551c7a6ca71a68e0980bc3da6257006b387c3755ffcdb47606e48f2d5475ad6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0551c7a6ca71a68e0980bc3da6257006b387c3755ffcdb47606e48f2d5475ad6","first_computed_at":"2026-05-18T03:44:15.254952Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:44:15.254952Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n9YeNNrHm4u3D67bV5bEwmyI4v3sUQv8CaiZ5cLTC1FHg0zANg60jXvmT8CnoyX/akPNLc6gDrWrBKz/1jWACw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:44:15.255423Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0057","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:36e89057e7103a79ff08423430501ae00f03b15ad181cfb18d7cf91ea032a0c0","sha256:9ec9a1b795c7c2c50d4364c9066799b2187d928b13e2a6d68da67ecce2c06f6c"],"state_sha256":"b1cd07229b35d74221c2d59860b2e99e839e53dfad9319f8fc93109e2a714237"}