{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:CJQDZN3NNT2JZ5FAVSBKTTAXOH","short_pith_number":"pith:CJQDZN3N","canonical_record":{"source":{"id":"1712.00274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-12-01T11:14:58Z","cross_cats_sorted":[],"title_canon_sha256":"ec6f44ec8c15e663198ed2f65c3a330c7a02155093f66661e6aa5b9acbd5c3fa","abstract_canon_sha256":"839f370116c5916ba6acfc6e262284d54401bb724ec05f3035060be8bb602768"},"schema_version":"1.0"},"canonical_sha256":"12603cb76d6cf49cf4a0ac82a9cc1771e484b16ac9682236ad23a85197919b35","source":{"kind":"arxiv","id":"1712.00274","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00274","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00274v1","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00274","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"CJQDZN3NNT2J","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CJQDZN3NNT2JZ5FA","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CJQDZN3N","created_at":"2026-05-18T12:31:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:CJQDZN3NNT2JZ5FAVSBKTTAXOH","target":"record","payload":{"canonical_record":{"source":{"id":"1712.00274","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-12-01T11:14:58Z","cross_cats_sorted":[],"title_canon_sha256":"ec6f44ec8c15e663198ed2f65c3a330c7a02155093f66661e6aa5b9acbd5c3fa","abstract_canon_sha256":"839f370116c5916ba6acfc6e262284d54401bb724ec05f3035060be8bb602768"},"schema_version":"1.0"},"canonical_sha256":"12603cb76d6cf49cf4a0ac82a9cc1771e484b16ac9682236ad23a85197919b35","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:29:06.704970Z","signature_b64":"HHu2rgfd3/9weJeh3slQmT1tgDWj0TALmYLtMeapzhGiwEXi1Jg364qLo6dlls77I4ql6ADQMvTL4MdLVBCoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"12603cb76d6cf49cf4a0ac82a9cc1771e484b16ac9682236ad23a85197919b35","last_reissued_at":"2026-05-18T00:29:06.704269Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:29:06.704269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.00274","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":"2026-05-18T00:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LrVeBvt5LhJZrBFcCHPeG8E0Hk4A/tVBhKPVuagTkBVApnfFYGIDGEXbPiZJRhRaMMJAGgiGoyQlcevXEmOyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:42:08.511727Z"},"content_sha256":"ab40275da93d9c383eec0def3a4c941ee7b45f321cdbd98db0856c95c2ec10a4","schema_version":"1.0","event_id":"sha256:ab40275da93d9c383eec0def3a4c941ee7b45f321cdbd98db0856c95c2ec10a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:CJQDZN3NNT2JZ5FAVSBKTTAXOH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Short Solution to the Many-Player Silent Duel with Arbitrary Consolation Prize","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"J. V. Howard, Steve Alpern","submitted_at":"2017-12-01T11:14:58Z","abstract_excerpt":"The classical constant-sum 'silent duel' game had two antagonistic marksmen walking towards each other. A more friendly formulation has two equally skilled marksmen approaching targets at which they may silently fire at distances of their own choice. The winner, who gets a unit prize, is the marksman who hits his target at the greatest distance; if both miss, they share the prize (each gets a 'consolation prize' of one half). In another formulation, if they both miss they each get zero. More generally we can consider more than two marksmen and an arbitrary consolation prize. This non-constant "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00274","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":""},"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":"2026-05-18T00:29:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f9Z8TAywyUxXLLyNlDf9V4HsWPC6xVV04JmPumDihxfSRMJQpsg+YpHB60/JpDXCKWZAmFA0WiWVfiVPzoUHBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T21:42:08.512074Z"},"content_sha256":"1f23bb15fc1e0d12323e33fe4c5a63e2984d9b36c7ca1c9576768151c8a98cd8","schema_version":"1.0","event_id":"sha256:1f23bb15fc1e0d12323e33fe4c5a63e2984d9b36c7ca1c9576768151c8a98cd8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CJQDZN3NNT2JZ5FAVSBKTTAXOH/bundle.json","state_url":"https://pith.science/pith/CJQDZN3NNT2JZ5FAVSBKTTAXOH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CJQDZN3NNT2JZ5FAVSBKTTAXOH/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":"2026-06-02T21:42:08Z","links":{"resolver":"https://pith.science/pith/CJQDZN3NNT2JZ5FAVSBKTTAXOH","bundle":"https://pith.science/pith/CJQDZN3NNT2JZ5FAVSBKTTAXOH/bundle.json","state":"https://pith.science/pith/CJQDZN3NNT2JZ5FAVSBKTTAXOH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CJQDZN3NNT2JZ5FAVSBKTTAXOH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CJQDZN3NNT2JZ5FAVSBKTTAXOH","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":"839f370116c5916ba6acfc6e262284d54401bb724ec05f3035060be8bb602768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-12-01T11:14:58Z","title_canon_sha256":"ec6f44ec8c15e663198ed2f65c3a330c7a02155093f66661e6aa5b9acbd5c3fa"},"schema_version":"1.0","source":{"id":"1712.00274","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.00274","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"arxiv_version","alias_value":"1712.00274v1","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.00274","created_at":"2026-05-18T00:29:06Z"},{"alias_kind":"pith_short_12","alias_value":"CJQDZN3NNT2J","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CJQDZN3NNT2JZ5FA","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CJQDZN3N","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:1f23bb15fc1e0d12323e33fe4c5a63e2984d9b36c7ca1c9576768151c8a98cd8","target":"graph","created_at":"2026-05-18T00:29:06Z","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":"The classical constant-sum 'silent duel' game had two antagonistic marksmen walking towards each other. A more friendly formulation has two equally skilled marksmen approaching targets at which they may silently fire at distances of their own choice. The winner, who gets a unit prize, is the marksman who hits his target at the greatest distance; if both miss, they share the prize (each gets a 'consolation prize' of one half). In another formulation, if they both miss they each get zero. More generally we can consider more than two marksmen and an arbitrary consolation prize. This non-constant ","authors_text":"J. V. Howard, Steve Alpern","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-12-01T11:14:58Z","title":"A Short Solution to the Many-Player Silent Duel with Arbitrary Consolation Prize"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.00274","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:ab40275da93d9c383eec0def3a4c941ee7b45f321cdbd98db0856c95c2ec10a4","target":"record","created_at":"2026-05-18T00:29:06Z","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":"839f370116c5916ba6acfc6e262284d54401bb724ec05f3035060be8bb602768","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2017-12-01T11:14:58Z","title_canon_sha256":"ec6f44ec8c15e663198ed2f65c3a330c7a02155093f66661e6aa5b9acbd5c3fa"},"schema_version":"1.0","source":{"id":"1712.00274","kind":"arxiv","version":1}},"canonical_sha256":"12603cb76d6cf49cf4a0ac82a9cc1771e484b16ac9682236ad23a85197919b35","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"12603cb76d6cf49cf4a0ac82a9cc1771e484b16ac9682236ad23a85197919b35","first_computed_at":"2026-05-18T00:29:06.704269Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:06.704269Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HHu2rgfd3/9weJeh3slQmT1tgDWj0TALmYLtMeapzhGiwEXi1Jg364qLo6dlls77I4ql6ADQMvTL4MdLVBCoAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:06.704970Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.00274","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab40275da93d9c383eec0def3a4c941ee7b45f321cdbd98db0856c95c2ec10a4","sha256:1f23bb15fc1e0d12323e33fe4c5a63e2984d9b36c7ca1c9576768151c8a98cd8"],"state_sha256":"e588ed290754e195682e7c9f9c972ef0237d99916b13fdda7f33779cea63834d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EpWNfFqIPbYIEjxf6+MxTJSuWIWyxWihlyGAkxxqUcFyocDda1DTNSKakM+WA0ETZuBY20Apj3QOCiRVpNBSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T21:42:08.514074Z","bundle_sha256":"3d2cd129a4e17114b2aa2134a8fd37d576ef0630bdd624ca15f7828624cdcf35"}}