{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5C3WPA4FY7I4R4BHLX3D5OHQJU","short_pith_number":"pith:5C3WPA4F","canonical_record":{"source":{"id":"2212.09218","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-12-19T02:34:14Z","cross_cats_sorted":[],"title_canon_sha256":"1350e0bbea12e106797b08b5b7558b47823c6d820f185e3add95f01019f742f3","abstract_canon_sha256":"690adc1a935ccabbc6d4e98c1eaa5def4bdfd2c0a206f261947f64e79be39e11"},"schema_version":"1.0"},"canonical_sha256":"e8b7678385c7d1c8f0275df63eb8f04d3a49a56066fa930271f3182f49e1ca5b","source":{"kind":"arxiv","id":"2212.09218","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09218","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09218v2","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09218","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"pith_short_12","alias_value":"5C3WPA4FY7I4","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"pith_short_16","alias_value":"5C3WPA4FY7I4R4BH","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"pith_short_8","alias_value":"5C3WPA4F","created_at":"2026-07-05T08:26:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5C3WPA4FY7I4R4BHLX3D5OHQJU","target":"record","payload":{"canonical_record":{"source":{"id":"2212.09218","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-12-19T02:34:14Z","cross_cats_sorted":[],"title_canon_sha256":"1350e0bbea12e106797b08b5b7558b47823c6d820f185e3add95f01019f742f3","abstract_canon_sha256":"690adc1a935ccabbc6d4e98c1eaa5def4bdfd2c0a206f261947f64e79be39e11"},"schema_version":"1.0"},"canonical_sha256":"e8b7678385c7d1c8f0275df63eb8f04d3a49a56066fa930271f3182f49e1ca5b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:26:55.738247Z","signature_b64":"NAfI1ZjQYdYUgxD6C7RuQlXn49eaqhGcsk+UfMn4/jdUrqXuC0z5PmSoHkOrunAnq+QaQAQMh/5WITL/hHmQAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8b7678385c7d1c8f0275df63eb8f04d3a49a56066fa930271f3182f49e1ca5b","last_reissued_at":"2026-07-05T08:26:55.737815Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:26:55.737815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2212.09218","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":"2026-07-05T08:26:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lRJDgmRIDn9r8mHu9Pb3O0LjGU0K6Qet8paGnl2yDgK97i6UMvAvBD67lmSlgloticiovmD7VxFRzxuiILIvAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T13:14:36.689653Z"},"content_sha256":"6d1c2138dfaab54d76f790ecf257d9242ac500affb16ed0383be8aa201bc6a2f","schema_version":"1.0","event_id":"sha256:6d1c2138dfaab54d76f790ecf257d9242ac500affb16ed0383be8aa201bc6a2f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5C3WPA4FY7I4R4BHLX3D5OHQJU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetric quandle colorings and ribbon concordance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Nicholas Cazet","submitted_at":"2022-12-19T02:34:14Z","abstract_excerpt":"A quandle can always trivially color an orientable surface-link. This note shows that the surface-link $10_1^{-1,-1}$ of Yoshikawa's table cannot be colored by a symmetric dihedral quandle of order 4, and explains how this obstructs a generalized ribbon concordance between another link of two projective planes $8_1^{-1,-1}$ that does admit a coloring by the same symmetric dihedral quandle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09218","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2212.09218/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":"2026-07-05T08:26:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eOl1slzp2O9iGJSozrkq5UoVUinvxOjrCCtDWlSJMbHBrBidDXDXKPfXZXWtrgEjrAeBYOb/eoBZmPjLHQ/vCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T13:14:36.690200Z"},"content_sha256":"fa7e02919bde00658881d927eb923cbcad2b4c4647a7591233914e1c7cf2fbb7","schema_version":"1.0","event_id":"sha256:fa7e02919bde00658881d927eb923cbcad2b4c4647a7591233914e1c7cf2fbb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5C3WPA4FY7I4R4BHLX3D5OHQJU/bundle.json","state_url":"https://pith.science/pith/5C3WPA4FY7I4R4BHLX3D5OHQJU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5C3WPA4FY7I4R4BHLX3D5OHQJU/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":"2026-08-20T13:14:36Z","links":{"resolver":"https://pith.science/pith/5C3WPA4FY7I4R4BHLX3D5OHQJU","bundle":"https://pith.science/pith/5C3WPA4FY7I4R4BHLX3D5OHQJU/bundle.json","state":"https://pith.science/pith/5C3WPA4FY7I4R4BHLX3D5OHQJU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5C3WPA4FY7I4R4BHLX3D5OHQJU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5C3WPA4FY7I4R4BHLX3D5OHQJU","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":"690adc1a935ccabbc6d4e98c1eaa5def4bdfd2c0a206f261947f64e79be39e11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-12-19T02:34:14Z","title_canon_sha256":"1350e0bbea12e106797b08b5b7558b47823c6d820f185e3add95f01019f742f3"},"schema_version":"1.0","source":{"id":"2212.09218","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2212.09218","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"arxiv_version","alias_value":"2212.09218v2","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2212.09218","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"pith_short_12","alias_value":"5C3WPA4FY7I4","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"pith_short_16","alias_value":"5C3WPA4FY7I4R4BH","created_at":"2026-07-05T08:26:55Z"},{"alias_kind":"pith_short_8","alias_value":"5C3WPA4F","created_at":"2026-07-05T08:26:55Z"}],"graph_snapshots":[{"event_id":"sha256:fa7e02919bde00658881d927eb923cbcad2b4c4647a7591233914e1c7cf2fbb7","target":"graph","created_at":"2026-07-05T08:26:55Z","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/2212.09218/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A quandle can always trivially color an orientable surface-link. This note shows that the surface-link $10_1^{-1,-1}$ of Yoshikawa's table cannot be colored by a symmetric dihedral quandle of order 4, and explains how this obstructs a generalized ribbon concordance between another link of two projective planes $8_1^{-1,-1}$ that does admit a coloring by the same symmetric dihedral quandle.","authors_text":"Nicholas Cazet","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-12-19T02:34:14Z","title":"Symmetric quandle colorings and ribbon concordance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2212.09218","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":"sha256:6d1c2138dfaab54d76f790ecf257d9242ac500affb16ed0383be8aa201bc6a2f","target":"record","created_at":"2026-07-05T08:26:55Z","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":"690adc1a935ccabbc6d4e98c1eaa5def4bdfd2c0a206f261947f64e79be39e11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2022-12-19T02:34:14Z","title_canon_sha256":"1350e0bbea12e106797b08b5b7558b47823c6d820f185e3add95f01019f742f3"},"schema_version":"1.0","source":{"id":"2212.09218","kind":"arxiv","version":2}},"canonical_sha256":"e8b7678385c7d1c8f0275df63eb8f04d3a49a56066fa930271f3182f49e1ca5b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8b7678385c7d1c8f0275df63eb8f04d3a49a56066fa930271f3182f49e1ca5b","first_computed_at":"2026-07-05T08:26:55.737815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:26:55.737815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NAfI1ZjQYdYUgxD6C7RuQlXn49eaqhGcsk+UfMn4/jdUrqXuC0z5PmSoHkOrunAnq+QaQAQMh/5WITL/hHmQAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:26:55.738247Z","signed_message":"canonical_sha256_bytes"},"source_id":"2212.09218","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d1c2138dfaab54d76f790ecf257d9242ac500affb16ed0383be8aa201bc6a2f","sha256:fa7e02919bde00658881d927eb923cbcad2b4c4647a7591233914e1c7cf2fbb7"],"state_sha256":"7a071c3c87ab947775f15b5d07021c39a8471a0d8d080096f8cdce27af1e7898"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2vOBwJYhi+KlzQb4O5tUvyltBTjSkeLFnz3MCgAHe58LwV8n+11KT+Bp0bqqeLcMrcDqzp8/CJhpYKyNjyB3Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T13:14:36.696133Z","bundle_sha256":"cac880e7666974ea843119bd5f1090af3a8b9d53f0a67625ce44c47da3f0e482"}}