{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:JUQQ4YQKVJUIT5G7NRL5DD4S5Q","short_pith_number":"pith:JUQQ4YQK","canonical_record":{"source":{"id":"1601.05860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-22T01:55:20Z","cross_cats_sorted":[],"title_canon_sha256":"721849e3fcd2916c38ab113a9cf5c454071c88fdb94c3326d645d8c5785f54b9","abstract_canon_sha256":"04af1dab50ceac973fb58c8fcdf918151dcf34c180552fa96dd3c833d45b9ef5"},"schema_version":"1.0"},"canonical_sha256":"4d210e620aaa6889f4df6c57d18f92ec074071c3ba95a5b80b29d3d9ecdd6d3a","source":{"kind":"arxiv","id":"1601.05860","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05860","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05860v2","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05860","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"JUQQ4YQKVJUI","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JUQQ4YQKVJUIT5G7","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JUQQ4YQK","created_at":"2026-05-18T12:30:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:JUQQ4YQKVJUIT5G7NRL5DD4S5Q","target":"record","payload":{"canonical_record":{"source":{"id":"1601.05860","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-22T01:55:20Z","cross_cats_sorted":[],"title_canon_sha256":"721849e3fcd2916c38ab113a9cf5c454071c88fdb94c3326d645d8c5785f54b9","abstract_canon_sha256":"04af1dab50ceac973fb58c8fcdf918151dcf34c180552fa96dd3c833d45b9ef5"},"schema_version":"1.0"},"canonical_sha256":"4d210e620aaa6889f4df6c57d18f92ec074071c3ba95a5b80b29d3d9ecdd6d3a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:39.826971Z","signature_b64":"IMrnrsL4cINJkf8GM4/b+7YZcUgxbsIvq87TyxPjghxq2eNNv85ILfVr9KkVDFdm9uzJYHZxIPEO7fSBNL8/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d210e620aaa6889f4df6c57d18f92ec074071c3ba95a5b80b29d3d9ecdd6d3a","last_reissued_at":"2026-05-18T01:00:39.826342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:39.826342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.05860","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":"2026-05-18T01:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jfEaPjf5+V0N6czbVXbJkwx5uCtONyMLUY9d2qb+1ydZN+uoorJRv6R7aKlZ+AvBKRbK8x/FEvyaaY8I90IWAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:28:39.649955Z"},"content_sha256":"11a5e3da2655caa0cf774b1a6de7daed6123fd96a1fb55cd6ee5bfc234098482","schema_version":"1.0","event_id":"sha256:11a5e3da2655caa0cf774b1a6de7daed6123fd96a1fb55cd6ee5bfc234098482"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:JUQQ4YQKVJUIT5G7NRL5DD4S5Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n, 3)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Ji-Young Ham, Joongul Lee","submitted_at":"2016-01-22T01:55:20Z","abstract_excerpt":"An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n,3)$ is obtained from the explicit Riley-Mednykh polynomial of it."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05860","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":"2026-05-18T01:00:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z1Y/s+UlZLr8Lmrkbyw/244N/eAJdlz67xubzLD89hOHYNZJbyH4hsd6L/PMmgfr8GZDAnVoed7fQH3MSaDeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T06:28:39.650290Z"},"content_sha256":"9964e4af7190b07d2d2f6ed171bb870cb087bc68f6800d263226a5a9cdb558a7","schema_version":"1.0","event_id":"sha256:9964e4af7190b07d2d2f6ed171bb870cb087bc68f6800d263226a5a9cdb558a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JUQQ4YQKVJUIT5G7NRL5DD4S5Q/bundle.json","state_url":"https://pith.science/pith/JUQQ4YQKVJUIT5G7NRL5DD4S5Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JUQQ4YQKVJUIT5G7NRL5DD4S5Q/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":"2026-06-28T06:28:39Z","links":{"resolver":"https://pith.science/pith/JUQQ4YQKVJUIT5G7NRL5DD4S5Q","bundle":"https://pith.science/pith/JUQQ4YQKVJUIT5G7NRL5DD4S5Q/bundle.json","state":"https://pith.science/pith/JUQQ4YQKVJUIT5G7NRL5DD4S5Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JUQQ4YQKVJUIT5G7NRL5DD4S5Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:JUQQ4YQKVJUIT5G7NRL5DD4S5Q","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":"04af1dab50ceac973fb58c8fcdf918151dcf34c180552fa96dd3c833d45b9ef5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-22T01:55:20Z","title_canon_sha256":"721849e3fcd2916c38ab113a9cf5c454071c88fdb94c3326d645d8c5785f54b9"},"schema_version":"1.0","source":{"id":"1601.05860","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.05860","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"arxiv_version","alias_value":"1601.05860v2","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.05860","created_at":"2026-05-18T01:00:39Z"},{"alias_kind":"pith_short_12","alias_value":"JUQQ4YQKVJUI","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"JUQQ4YQKVJUIT5G7","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"JUQQ4YQK","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:9964e4af7190b07d2d2f6ed171bb870cb087bc68f6800d263226a5a9cdb558a7","target":"graph","created_at":"2026-05-18T01:00:39Z","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":"An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n,3)$ is obtained from the explicit Riley-Mednykh polynomial of it.","authors_text":"Ji-Young Ham, Joongul Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-22T01:55:20Z","title":"An explicit formula for the $A$-polynomial of the knot with Conway's notation $C(2n, 3)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.05860","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":"sha256:11a5e3da2655caa0cf774b1a6de7daed6123fd96a1fb55cd6ee5bfc234098482","target":"record","created_at":"2026-05-18T01:00:39Z","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":"04af1dab50ceac973fb58c8fcdf918151dcf34c180552fa96dd3c833d45b9ef5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-22T01:55:20Z","title_canon_sha256":"721849e3fcd2916c38ab113a9cf5c454071c88fdb94c3326d645d8c5785f54b9"},"schema_version":"1.0","source":{"id":"1601.05860","kind":"arxiv","version":2}},"canonical_sha256":"4d210e620aaa6889f4df6c57d18f92ec074071c3ba95a5b80b29d3d9ecdd6d3a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d210e620aaa6889f4df6c57d18f92ec074071c3ba95a5b80b29d3d9ecdd6d3a","first_computed_at":"2026-05-18T01:00:39.826342Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:39.826342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IMrnrsL4cINJkf8GM4/b+7YZcUgxbsIvq87TyxPjghxq2eNNv85ILfVr9KkVDFdm9uzJYHZxIPEO7fSBNL8/Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:39.826971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.05860","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:11a5e3da2655caa0cf774b1a6de7daed6123fd96a1fb55cd6ee5bfc234098482","sha256:9964e4af7190b07d2d2f6ed171bb870cb087bc68f6800d263226a5a9cdb558a7"],"state_sha256":"b1fc49e6092e19602073e774217dcdbed7bd14991b6412f384a5e957f58fb5a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WiF349OIhtEor5upjv82O0syA7JDGFusVpx5CKE9VrTk79x5Uwv40I5tOHwszwVPeTnGn4jucItrexIpOHdPCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T06:28:39.652556Z","bundle_sha256":"82905d27a9eea02b459a619caf253b06c61ee547fb12607a8c95be46f34eeeba"}}