{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:N33I7POYVYI6PL7V5MKQRCRYC5","short_pith_number":"pith:N33I7POY","canonical_record":{"source":{"id":"1605.01863","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2016-05-06T08:53:50Z","cross_cats_sorted":[],"title_canon_sha256":"7e3a360165663717f467728c1bdb2edacf650d1fe97f7e4968bf6595d7111604","abstract_canon_sha256":"2d468b6a9266f4c7286378932e4f9fbd69fa84537b718351a722a15e2c6f2703"},"schema_version":"1.0"},"canonical_sha256":"6ef68fbdd8ae11e7aff5eb15088a38176ee3d0ddb0e925087a5ee207d18aa6b4","source":{"kind":"arxiv","id":"1605.01863","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01863","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01863v2","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01863","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"N33I7POYVYI6","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N33I7POYVYI6PL7V","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N33I7POY","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:N33I7POYVYI6PL7V5MKQRCRYC5","target":"record","payload":{"canonical_record":{"source":{"id":"1605.01863","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2016-05-06T08:53:50Z","cross_cats_sorted":[],"title_canon_sha256":"7e3a360165663717f467728c1bdb2edacf650d1fe97f7e4968bf6595d7111604","abstract_canon_sha256":"2d468b6a9266f4c7286378932e4f9fbd69fa84537b718351a722a15e2c6f2703"},"schema_version":"1.0"},"canonical_sha256":"6ef68fbdd8ae11e7aff5eb15088a38176ee3d0ddb0e925087a5ee207d18aa6b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:37.486285Z","signature_b64":"LWnU5Zkgn0ppltspWcYg4z5RVmlIaUbOvsxDf1ok5sKRI6O1l+1oFrm1w8Yc70dqoKtg4JJpPqQvPqehm8MNCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ef68fbdd8ae11e7aff5eb15088a38176ee3d0ddb0e925087a5ee207d18aa6b4","last_reissued_at":"2026-05-18T01:13:37.485705Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:37.485705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1605.01863","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":"2026-05-18T01:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJIm2/OlxH22oiMrBtzNY1sPf2yUIvtfJfV/nXcvbWoUESsdx2GHgM8RR1TOvcC8PmlvDhSvlK+rSISUlJwUAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:37:24.513063Z"},"content_sha256":"38a689b6b493efd05429e31b422565d01cc262583175e1232f9400152829138b","schema_version":"1.0","event_id":"sha256:38a689b6b493efd05429e31b422565d01cc262583175e1232f9400152829138b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:N33I7POYVYI6PL7V5MKQRCRYC5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exercising Control When Confronted by a (Brownian) Spider","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Philip Ernst","submitted_at":"2016-05-06T08:53:50Z","abstract_excerpt":"We consider the Brownian \"spider,\" a construct introduced in \\cite{Dubins} and in \\cite{Pitman}. In this note, the author proves the \"spider\" bounds by using the dynamic programming strategy of guessing the optimal reward function and subsequently establishing its optimality by proving its excessiveness."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01863","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":"2026-05-18T01:13:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m/9vvAve5kgzm7r07roSwgJhGPkrXt0R7vM0Z+/TDvbg/unT+XoHQnqRSlMJwiDaITZf1VXTL+iL9LlV+QesCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:37:24.513409Z"},"content_sha256":"c88323ea0a2c2ae5bb3f3ea490fd0280b13f5f9696dd6eced0536f4f13e58664","schema_version":"1.0","event_id":"sha256:c88323ea0a2c2ae5bb3f3ea490fd0280b13f5f9696dd6eced0536f4f13e58664"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/N33I7POYVYI6PL7V5MKQRCRYC5/bundle.json","state_url":"https://pith.science/pith/N33I7POYVYI6PL7V5MKQRCRYC5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/N33I7POYVYI6PL7V5MKQRCRYC5/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":"2026-06-05T14:37:24Z","links":{"resolver":"https://pith.science/pith/N33I7POYVYI6PL7V5MKQRCRYC5","bundle":"https://pith.science/pith/N33I7POYVYI6PL7V5MKQRCRYC5/bundle.json","state":"https://pith.science/pith/N33I7POYVYI6PL7V5MKQRCRYC5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/N33I7POYVYI6PL7V5MKQRCRYC5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:N33I7POYVYI6PL7V5MKQRCRYC5","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":"2d468b6a9266f4c7286378932e4f9fbd69fa84537b718351a722a15e2c6f2703","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2016-05-06T08:53:50Z","title_canon_sha256":"7e3a360165663717f467728c1bdb2edacf650d1fe97f7e4968bf6595d7111604"},"schema_version":"1.0","source":{"id":"1605.01863","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1605.01863","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"arxiv_version","alias_value":"1605.01863v2","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1605.01863","created_at":"2026-05-18T01:13:37Z"},{"alias_kind":"pith_short_12","alias_value":"N33I7POYVYI6","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"N33I7POYVYI6PL7V","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"N33I7POY","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:c88323ea0a2c2ae5bb3f3ea490fd0280b13f5f9696dd6eced0536f4f13e58664","target":"graph","created_at":"2026-05-18T01:13:37Z","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 consider the Brownian \"spider,\" a construct introduced in \\cite{Dubins} and in \\cite{Pitman}. In this note, the author proves the \"spider\" bounds by using the dynamic programming strategy of guessing the optimal reward function and subsequently establishing its optimality by proving its excessiveness.","authors_text":"Philip Ernst","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2016-05-06T08:53:50Z","title":"Exercising Control When Confronted by a (Brownian) Spider"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1605.01863","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":"sha256:38a689b6b493efd05429e31b422565d01cc262583175e1232f9400152829138b","target":"record","created_at":"2026-05-18T01:13:37Z","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":"2d468b6a9266f4c7286378932e4f9fbd69fa84537b718351a722a15e2c6f2703","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.PR","submitted_at":"2016-05-06T08:53:50Z","title_canon_sha256":"7e3a360165663717f467728c1bdb2edacf650d1fe97f7e4968bf6595d7111604"},"schema_version":"1.0","source":{"id":"1605.01863","kind":"arxiv","version":2}},"canonical_sha256":"6ef68fbdd8ae11e7aff5eb15088a38176ee3d0ddb0e925087a5ee207d18aa6b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ef68fbdd8ae11e7aff5eb15088a38176ee3d0ddb0e925087a5ee207d18aa6b4","first_computed_at":"2026-05-18T01:13:37.485705Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:37.485705Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LWnU5Zkgn0ppltspWcYg4z5RVmlIaUbOvsxDf1ok5sKRI6O1l+1oFrm1w8Yc70dqoKtg4JJpPqQvPqehm8MNCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:37.486285Z","signed_message":"canonical_sha256_bytes"},"source_id":"1605.01863","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:38a689b6b493efd05429e31b422565d01cc262583175e1232f9400152829138b","sha256:c88323ea0a2c2ae5bb3f3ea490fd0280b13f5f9696dd6eced0536f4f13e58664"],"state_sha256":"e6e4220398ca64687c4a87b569deb557c219ce0036dbaef0d1e814c5d0656937"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QwsoUgwKjo+TO61rq0Tya+xXOKrpiJ2rHTyBn7Erq6Hp69Gq3nr342GtLnBPzRFLqpvDf7ooNaGjhsEVSCdnDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:37:24.515340Z","bundle_sha256":"4b08726d03ce48b1b13d35da452dba65e28c4c0873497e76830d1858c5296527"}}