{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ON2B33Z5QOH54JGAAWBQRYGQFI","short_pith_number":"pith:ON2B33Z5","canonical_record":{"source":{"id":"2607.02933","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-07-03T04:00:33Z","cross_cats_sorted":[],"title_canon_sha256":"3d26d75bdb768900864b19f7d5e6079f5ee697cb09b8bd8f0b6c9167d93968f4","abstract_canon_sha256":"c33d10ee0361a55fceafedb53da045fb9c4a257f57fcba54fa06903777e55afe"},"schema_version":"1.0"},"canonical_sha256":"73741def3d838fde24c0058308e0d02a3a13a3d26fbd99d8312f8f72e1ecd47d","source":{"kind":"arxiv","id":"2607.02933","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.02933","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"arxiv_version","alias_value":"2607.02933v1","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02933","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"pith_short_12","alias_value":"ON2B33Z5QOH5","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"pith_short_16","alias_value":"ON2B33Z5QOH54JGA","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"pith_short_8","alias_value":"ON2B33Z5","created_at":"2026-07-07T01:16:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ON2B33Z5QOH54JGAAWBQRYGQFI","target":"record","payload":{"canonical_record":{"source":{"id":"2607.02933","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-07-03T04:00:33Z","cross_cats_sorted":[],"title_canon_sha256":"3d26d75bdb768900864b19f7d5e6079f5ee697cb09b8bd8f0b6c9167d93968f4","abstract_canon_sha256":"c33d10ee0361a55fceafedb53da045fb9c4a257f57fcba54fa06903777e55afe"},"schema_version":"1.0"},"canonical_sha256":"73741def3d838fde24c0058308e0d02a3a13a3d26fbd99d8312f8f72e1ecd47d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-07T01:16:36.936651Z","signature_b64":"jg8DbzSb5u/x4F+rjDcjmtqOqrsB6HRvUJ7kHEkhF9voxqZ6xzGP/Dpjdfx27LTM6L6fAh6n+/vOb+e+f5lKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"73741def3d838fde24c0058308e0d02a3a13a3d26fbd99d8312f8f72e1ecd47d","last_reissued_at":"2026-07-07T01:16:36.936232Z","signature_status":"signed_v1","first_computed_at":"2026-07-07T01:16:36.936232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.02933","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":"2026-07-07T01:16:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hhTw43Jl2ikiH3uZEA5QMiRHnbrm/DNh1TjviPM2CRBrUN0NxyLiYE/GWOvt+cqY/phKqxzh8N7PM9PM4/S2DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T05:25:10.062313Z"},"content_sha256":"51af4c33181b59e5f34737b520d6e8f5f5338272da619d578ce575461e136716","schema_version":"1.0","event_id":"sha256:51af4c33181b59e5f34737b520d6e8f5f5338272da619d578ce575461e136716"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ON2B33Z5QOH54JGAAWBQRYGQFI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Frontier Optimization of NBA Shot Selection Using Markov Reward Processes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"stat.AP","authors_text":"Leo Benaharon, Nirek Duma","submitted_at":"2026-07-03T04:00:33Z","abstract_excerpt":"This paper asks whether modern NBA shot selection can be evaluated as a dynamic portfolio problem rather than as a collection of isolated shot attempts. We combine a possession-level Markov reward process with both a mean-variance shot allocation objective and a defense response cost. The model separates rim attempts, midrange attempts, corner threes, and noncorner threes, then values each candidate shot diet by immediate scoring, continuation after offensive rebounds, empirical game-level variance, and a timeout-response stability cost. Because fastbreak value depends on geometry that is not "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02933","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/2607.02933/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":"2026-07-07T01:16:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KOGd4sOxw39Ow6tQ81E0voJ3/+dGRqjvh086lFrTECRHyRoC15K1R6CJsjoQE5LhBe1VURXTPyBM8JFqqugvDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T05:25:10.062682Z"},"content_sha256":"b9027c4915c1066600a920c99219d9a6b8186b277fe4f023a99d1ca2eed2750b","schema_version":"1.0","event_id":"sha256:b9027c4915c1066600a920c99219d9a6b8186b277fe4f023a99d1ca2eed2750b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ON2B33Z5QOH54JGAAWBQRYGQFI/bundle.json","state_url":"https://pith.science/pith/ON2B33Z5QOH54JGAAWBQRYGQFI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ON2B33Z5QOH54JGAAWBQRYGQFI/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":"2026-08-18T05:25:10Z","links":{"resolver":"https://pith.science/pith/ON2B33Z5QOH54JGAAWBQRYGQFI","bundle":"https://pith.science/pith/ON2B33Z5QOH54JGAAWBQRYGQFI/bundle.json","state":"https://pith.science/pith/ON2B33Z5QOH54JGAAWBQRYGQFI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ON2B33Z5QOH54JGAAWBQRYGQFI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ON2B33Z5QOH54JGAAWBQRYGQFI","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":"c33d10ee0361a55fceafedb53da045fb9c4a257f57fcba54fa06903777e55afe","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-07-03T04:00:33Z","title_canon_sha256":"3d26d75bdb768900864b19f7d5e6079f5ee697cb09b8bd8f0b6c9167d93968f4"},"schema_version":"1.0","source":{"id":"2607.02933","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.02933","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"arxiv_version","alias_value":"2607.02933v1","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.02933","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"pith_short_12","alias_value":"ON2B33Z5QOH5","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"pith_short_16","alias_value":"ON2B33Z5QOH54JGA","created_at":"2026-07-07T01:16:36Z"},{"alias_kind":"pith_short_8","alias_value":"ON2B33Z5","created_at":"2026-07-07T01:16:36Z"}],"graph_snapshots":[{"event_id":"sha256:b9027c4915c1066600a920c99219d9a6b8186b277fe4f023a99d1ca2eed2750b","target":"graph","created_at":"2026-07-07T01:16:36Z","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/2607.02933/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper asks whether modern NBA shot selection can be evaluated as a dynamic portfolio problem rather than as a collection of isolated shot attempts. We combine a possession-level Markov reward process with both a mean-variance shot allocation objective and a defense response cost. The model separates rim attempts, midrange attempts, corner threes, and noncorner threes, then values each candidate shot diet by immediate scoring, continuation after offensive rebounds, empirical game-level variance, and a timeout-response stability cost. Because fastbreak value depends on geometry that is not ","authors_text":"Leo Benaharon, Nirek Duma","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-07-03T04:00:33Z","title":"Efficient Frontier Optimization of NBA Shot Selection Using Markov Reward Processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.02933","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":"sha256:51af4c33181b59e5f34737b520d6e8f5f5338272da619d578ce575461e136716","target":"record","created_at":"2026-07-07T01:16:36Z","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":"c33d10ee0361a55fceafedb53da045fb9c4a257f57fcba54fa06903777e55afe","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"stat.AP","submitted_at":"2026-07-03T04:00:33Z","title_canon_sha256":"3d26d75bdb768900864b19f7d5e6079f5ee697cb09b8bd8f0b6c9167d93968f4"},"schema_version":"1.0","source":{"id":"2607.02933","kind":"arxiv","version":1}},"canonical_sha256":"73741def3d838fde24c0058308e0d02a3a13a3d26fbd99d8312f8f72e1ecd47d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73741def3d838fde24c0058308e0d02a3a13a3d26fbd99d8312f8f72e1ecd47d","first_computed_at":"2026-07-07T01:16:36.936232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-07T01:16:36.936232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jg8DbzSb5u/x4F+rjDcjmtqOqrsB6HRvUJ7kHEkhF9voxqZ6xzGP/Dpjdfx27LTM6L6fAh6n+/vOb+e+f5lKCg==","signature_status":"signed_v1","signed_at":"2026-07-07T01:16:36.936651Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.02933","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51af4c33181b59e5f34737b520d6e8f5f5338272da619d578ce575461e136716","sha256:b9027c4915c1066600a920c99219d9a6b8186b277fe4f023a99d1ca2eed2750b"],"state_sha256":"c34e99b51f10474b08ec51c469d090de64211628ca88716498d0ee6b3cb2f986"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qSG7vAAXe8+VJkIQtd3oCPAtLz3eEN+BKQc93fZxhtkXu+1jRDYPmObXIdj07JKfW0/2gmzEJH4R0eAc/NFBDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T05:25:10.065967Z","bundle_sha256":"fb3b815ff17b6b9a1aa36d18ed450b7b774720d2043c42d26fc8699b6ad1d4af"}}