{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:GMJ74UNU4VUOHP4GMXLEVIWQPT","short_pith_number":"pith:GMJ74UNU","canonical_record":{"source":{"id":"0907.5241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-07-30T02:05:43Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"3befc3f8964e77c2df40079a0f88f8362a87a76f2bd98d57495f51f12d3286ce","abstract_canon_sha256":"60bc0e004d84797fa3598cf79fd36a2bf5a3552e02a129518e7fe2ae834af72b"},"schema_version":"1.0"},"canonical_sha256":"3313fe51b4e568e3bf8665d64aa2d07cf9eb102faf1f7d1e5fdece8772b739e8","source":{"kind":"arxiv","id":"0907.5241","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.5241","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"arxiv_version","alias_value":"0907.5241v2","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.5241","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"pith_short_12","alias_value":"GMJ74UNU4VUO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GMJ74UNU4VUOHP4G","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GMJ74UNU","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:GMJ74UNU4VUOHP4GMXLEVIWQPT","target":"record","payload":{"canonical_record":{"source":{"id":"0907.5241","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-07-30T02:05:43Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"3befc3f8964e77c2df40079a0f88f8362a87a76f2bd98d57495f51f12d3286ce","abstract_canon_sha256":"60bc0e004d84797fa3598cf79fd36a2bf5a3552e02a129518e7fe2ae834af72b"},"schema_version":"1.0"},"canonical_sha256":"3313fe51b4e568e3bf8665d64aa2d07cf9eb102faf1f7d1e5fdece8772b739e8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:12:46.269349Z","signature_b64":"DBdW3A0NrB4P72JNqLfLA+nbW3U+H5vv+Y+3vAvs6HExqVzU/rJnKy6NEzXyLPPs6Q7LV/vQHPSJW4mY4F/GBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3313fe51b4e568e3bf8665d64aa2d07cf9eb102faf1f7d1e5fdece8772b739e8","last_reissued_at":"2026-05-18T02:12:46.268683Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:12:46.268683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0907.5241","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":"2026-05-18T02:12:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+5lxvIiygUvA2YMnCnErFYJx5KaRXz6m0EgGqhfj9JtXr4vbtxVMHBgLVIlXUm5qr+uYvbdVpIiW+PKj2BQrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:05:50.804418Z"},"content_sha256":"06e496247d255e814b675d981c1ad8a52f6bece0cf74a45e42998fc12f45967d","schema_version":"1.0","event_id":"sha256:06e496247d255e814b675d981c1ad8a52f6bece0cf74a45e42998fc12f45967d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:GMJ74UNU4VUOHP4GMXLEVIWQPT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mutually-Antagonistic Interactions in Baseball Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"physics.data-an","authors_text":"Mason A. Porter, Peter J. Mucha, Scott Powers, Serguei Saavedra, Trent McCotter","submitted_at":"2009-07-30T02:05:43Z","abstract_excerpt":"We formulate the head-to-head matchups between Major League Baseball pitchers and batters from 1954 to 2008 as a bipartite network of mutually-antagonistic interactions. We consider both the full network and single-season networks, which exhibit interesting structural changes over time. We find interesting structure in the network and examine their sensitivity to baseball's rule changes. We then study a biased random walk on the matchup networks as a simple and transparent way to compare the performance of players who competed under different conditions and to include information about which p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.5241","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":"2026-05-18T02:12:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7U6l/yudKlLFAf3gNFNvKel3J2FpjtjYuv9SM7uSvI7/ralDbWQvWWbgM75HMdwSHOYJP9rD3dz/7ly5bdetBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:05:50.804764Z"},"content_sha256":"2a173273a8df65897818a20b3e3329cbe657ecda046b64d85f5729c8ce80846c","schema_version":"1.0","event_id":"sha256:2a173273a8df65897818a20b3e3329cbe657ecda046b64d85f5729c8ce80846c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GMJ74UNU4VUOHP4GMXLEVIWQPT/bundle.json","state_url":"https://pith.science/pith/GMJ74UNU4VUOHP4GMXLEVIWQPT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GMJ74UNU4VUOHP4GMXLEVIWQPT/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":"2026-06-28T16:05:50Z","links":{"resolver":"https://pith.science/pith/GMJ74UNU4VUOHP4GMXLEVIWQPT","bundle":"https://pith.science/pith/GMJ74UNU4VUOHP4GMXLEVIWQPT/bundle.json","state":"https://pith.science/pith/GMJ74UNU4VUOHP4GMXLEVIWQPT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GMJ74UNU4VUOHP4GMXLEVIWQPT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:GMJ74UNU4VUOHP4GMXLEVIWQPT","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":"60bc0e004d84797fa3598cf79fd36a2bf5a3552e02a129518e7fe2ae834af72b","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-07-30T02:05:43Z","title_canon_sha256":"3befc3f8964e77c2df40079a0f88f8362a87a76f2bd98d57495f51f12d3286ce"},"schema_version":"1.0","source":{"id":"0907.5241","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0907.5241","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"arxiv_version","alias_value":"0907.5241v2","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0907.5241","created_at":"2026-05-18T02:12:46Z"},{"alias_kind":"pith_short_12","alias_value":"GMJ74UNU4VUO","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"GMJ74UNU4VUOHP4G","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"GMJ74UNU","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:2a173273a8df65897818a20b3e3329cbe657ecda046b64d85f5729c8ce80846c","target":"graph","created_at":"2026-05-18T02:12:46Z","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 formulate the head-to-head matchups between Major League Baseball pitchers and batters from 1954 to 2008 as a bipartite network of mutually-antagonistic interactions. We consider both the full network and single-season networks, which exhibit interesting structural changes over time. We find interesting structure in the network and examine their sensitivity to baseball's rule changes. We then study a biased random walk on the matchup networks as a simple and transparent way to compare the performance of players who competed under different conditions and to include information about which p","authors_text":"Mason A. Porter, Peter J. Mucha, Scott Powers, Serguei Saavedra, Trent McCotter","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-07-30T02:05:43Z","title":"Mutually-Antagonistic Interactions in Baseball Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0907.5241","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":"sha256:06e496247d255e814b675d981c1ad8a52f6bece0cf74a45e42998fc12f45967d","target":"record","created_at":"2026-05-18T02:12:46Z","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":"60bc0e004d84797fa3598cf79fd36a2bf5a3552e02a129518e7fe2ae834af72b","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.data-an","submitted_at":"2009-07-30T02:05:43Z","title_canon_sha256":"3befc3f8964e77c2df40079a0f88f8362a87a76f2bd98d57495f51f12d3286ce"},"schema_version":"1.0","source":{"id":"0907.5241","kind":"arxiv","version":2}},"canonical_sha256":"3313fe51b4e568e3bf8665d64aa2d07cf9eb102faf1f7d1e5fdece8772b739e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3313fe51b4e568e3bf8665d64aa2d07cf9eb102faf1f7d1e5fdece8772b739e8","first_computed_at":"2026-05-18T02:12:46.268683Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:12:46.268683Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DBdW3A0NrB4P72JNqLfLA+nbW3U+H5vv+Y+3vAvs6HExqVzU/rJnKy6NEzXyLPPs6Q7LV/vQHPSJW4mY4F/GBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:12:46.269349Z","signed_message":"canonical_sha256_bytes"},"source_id":"0907.5241","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06e496247d255e814b675d981c1ad8a52f6bece0cf74a45e42998fc12f45967d","sha256:2a173273a8df65897818a20b3e3329cbe657ecda046b64d85f5729c8ce80846c"],"state_sha256":"0d247d12a7bfd2b4cdd7eac990a5c169823276093177d3162b58fcbfc60bdd6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QLXMLInaQuh2pB9F0SEfgBrHPCuekNKUPezCcY/jXwd9181vEI6VQQ4QxRHKVMlug1G6uupPQE6beru69l6VCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T16:05:50.806678Z","bundle_sha256":"609bdd6c91c12e0bf1f0da200fb331dc240f91bad1967aab66604fe8ea71f329"}}