{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:Q3TAAQU2TYJYN7YOKT5DZ7YB3B","short_pith_number":"pith:Q3TAAQU2","canonical_record":{"source":{"id":"1803.11340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-03-30T05:13:24Z","cross_cats_sorted":[],"title_canon_sha256":"9804159d2a5f1e88a22b1464f5ecc6726dd975b1916c70132ea75e7f8c6d2f98","abstract_canon_sha256":"33e18458879a63d38b9b6221ff19607563462a3964110669c07a253395e20561"},"schema_version":"1.0"},"canonical_sha256":"86e600429a9e1386ff0e54fa3cff01d84edd91736351aa43af3828f7e12fcdf2","source":{"kind":"arxiv","id":"1803.11340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11340","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11340v1","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11340","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"Q3TAAQU2TYJY","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q3TAAQU2TYJYN7YO","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q3TAAQU2","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:Q3TAAQU2TYJYN7YOKT5DZ7YB3B","target":"record","payload":{"canonical_record":{"source":{"id":"1803.11340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-03-30T05:13:24Z","cross_cats_sorted":[],"title_canon_sha256":"9804159d2a5f1e88a22b1464f5ecc6726dd975b1916c70132ea75e7f8c6d2f98","abstract_canon_sha256":"33e18458879a63d38b9b6221ff19607563462a3964110669c07a253395e20561"},"schema_version":"1.0"},"canonical_sha256":"86e600429a9e1386ff0e54fa3cff01d84edd91736351aa43af3828f7e12fcdf2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:19:43.971704Z","signature_b64":"QUaX+hxbcmkfcngYQ4VuvojKEjw3rYhZV8typ/tnX3q+C0ria0pJAoQbfNVubHGyvrQVWjeQVRZIpxi1g7YXCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"86e600429a9e1386ff0e54fa3cff01d84edd91736351aa43af3828f7e12fcdf2","last_reissued_at":"2026-05-18T00:19:43.971010Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:19:43.971010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.11340","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":"2026-05-18T00:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S52BB4JQzxNUkQiR5XLN7utcuMg4b3BBTPMb/90PIgN0mWksxS5AEV/pJbv9CAZgJYQnPkJ4fIEbF6f9RUJVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:38:54.453070Z"},"content_sha256":"bdf88691354a3be3933904b1cada68469ebe13aa1c632a656cd3a37f3a7a7f4c","schema_version":"1.0","event_id":"sha256:bdf88691354a3be3933904b1cada68469ebe13aa1c632a656cd3a37f3a7a7f4c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:Q3TAAQU2TYJYN7YOKT5DZ7YB3B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Variant on the Feline Josephus Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Erik Insko, Shaun Sullivan","submitted_at":"2018-03-30T05:13:24Z","abstract_excerpt":"In the Feline Josephus problem, soldiers stand in a circle, each having $\\ell$ `lives'. Going around the circle, a life is taken from every $k$th soldier; soldiers with 0 lives remaining are removed from the circle. Finding the last surviving soldier proves to be an interesting and difficult problem, even in the case when $\\ell=1$. In our variant of the Feline Josephus problem, we instead remove a life from $k$ consecutive soldiers, and skip 1 soldier. In certain cases, we find closed formulas for the surviving soldier and hint at a way of finding such solutions in other cases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11340","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":"2026-05-18T00:19:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nivlDQs+ZFftdMkzLfVWJwXS+mgcnVxUevAQnNif8I2d8Zv5Pu8rvZ+h5pzbzNs0IpmM1xfbE5/fD8xvuw91BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:38:54.453433Z"},"content_sha256":"32cca9c66f140d6a3305ed139f2c6678f9de415d4988d8d28c2094dfb13956a1","schema_version":"1.0","event_id":"sha256:32cca9c66f140d6a3305ed139f2c6678f9de415d4988d8d28c2094dfb13956a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q3TAAQU2TYJYN7YOKT5DZ7YB3B/bundle.json","state_url":"https://pith.science/pith/Q3TAAQU2TYJYN7YOKT5DZ7YB3B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q3TAAQU2TYJYN7YOKT5DZ7YB3B/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":"2026-06-23T16:38:54Z","links":{"resolver":"https://pith.science/pith/Q3TAAQU2TYJYN7YOKT5DZ7YB3B","bundle":"https://pith.science/pith/Q3TAAQU2TYJYN7YOKT5DZ7YB3B/bundle.json","state":"https://pith.science/pith/Q3TAAQU2TYJYN7YOKT5DZ7YB3B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q3TAAQU2TYJYN7YOKT5DZ7YB3B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Q3TAAQU2TYJYN7YOKT5DZ7YB3B","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":"33e18458879a63d38b9b6221ff19607563462a3964110669c07a253395e20561","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-03-30T05:13:24Z","title_canon_sha256":"9804159d2a5f1e88a22b1464f5ecc6726dd975b1916c70132ea75e7f8c6d2f98"},"schema_version":"1.0","source":{"id":"1803.11340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.11340","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"arxiv_version","alias_value":"1803.11340v1","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.11340","created_at":"2026-05-18T00:19:43Z"},{"alias_kind":"pith_short_12","alias_value":"Q3TAAQU2TYJY","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q3TAAQU2TYJYN7YO","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q3TAAQU2","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:32cca9c66f140d6a3305ed139f2c6678f9de415d4988d8d28c2094dfb13956a1","target":"graph","created_at":"2026-05-18T00:19:43Z","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":"In the Feline Josephus problem, soldiers stand in a circle, each having $\\ell$ `lives'. Going around the circle, a life is taken from every $k$th soldier; soldiers with 0 lives remaining are removed from the circle. Finding the last surviving soldier proves to be an interesting and difficult problem, even in the case when $\\ell=1$. In our variant of the Feline Josephus problem, we instead remove a life from $k$ consecutive soldiers, and skip 1 soldier. In certain cases, we find closed formulas for the surviving soldier and hint at a way of finding such solutions in other cases.","authors_text":"Erik Insko, Shaun Sullivan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-03-30T05:13:24Z","title":"A Variant on the Feline Josephus Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.11340","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:bdf88691354a3be3933904b1cada68469ebe13aa1c632a656cd3a37f3a7a7f4c","target":"record","created_at":"2026-05-18T00:19:43Z","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":"33e18458879a63d38b9b6221ff19607563462a3964110669c07a253395e20561","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2018-03-30T05:13:24Z","title_canon_sha256":"9804159d2a5f1e88a22b1464f5ecc6726dd975b1916c70132ea75e7f8c6d2f98"},"schema_version":"1.0","source":{"id":"1803.11340","kind":"arxiv","version":1}},"canonical_sha256":"86e600429a9e1386ff0e54fa3cff01d84edd91736351aa43af3828f7e12fcdf2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"86e600429a9e1386ff0e54fa3cff01d84edd91736351aa43af3828f7e12fcdf2","first_computed_at":"2026-05-18T00:19:43.971010Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:43.971010Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QUaX+hxbcmkfcngYQ4VuvojKEjw3rYhZV8typ/tnX3q+C0ria0pJAoQbfNVubHGyvrQVWjeQVRZIpxi1g7YXCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:43.971704Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.11340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bdf88691354a3be3933904b1cada68469ebe13aa1c632a656cd3a37f3a7a7f4c","sha256:32cca9c66f140d6a3305ed139f2c6678f9de415d4988d8d28c2094dfb13956a1"],"state_sha256":"6f05d20fc965a43706b84d5828e0d3dab72dfa20061e3822bc8bec8da5048206"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7BQIv0zFpgRfLpxGUriLx5oMCMsrfeFfhJyuz4x+UutCTaQUos6V1C5Ru7WEsEwfN8aQj3+Lg3x9NIc7yIVAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:38:54.455393Z","bundle_sha256":"51779bfb006b3f289c308eb25f85063de6470e8798a79558936a42fc02f32338"}}