{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:QWVLPAA2DH446TAYBUARY4EXAC","short_pith_number":"pith:QWVLPAA2","canonical_record":{"source":{"id":"1908.02396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-06T23:26:12Z","cross_cats_sorted":[],"title_canon_sha256":"c710c05df9e41d7cfa5ab82e68906494a5ad311cb4ee2849066b3939d857aca4","abstract_canon_sha256":"c5f31112c573c59f916a879eb56e977da70c831c282f5a29dba8e210a90e7be1"},"schema_version":"1.0"},"canonical_sha256":"85aab7801a19f9cf4c180d011c709700bcadb9992611ccbece61db9db407b2b5","source":{"kind":"arxiv","id":"1908.02396","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02396","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02396v1","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02396","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"pith_short_12","alias_value":"QWVLPAA2DH44","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"pith_short_16","alias_value":"QWVLPAA2DH446TAY","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"pith_short_8","alias_value":"QWVLPAA2","created_at":"2026-07-04T23:52:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:QWVLPAA2DH446TAYBUARY4EXAC","target":"record","payload":{"canonical_record":{"source":{"id":"1908.02396","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-06T23:26:12Z","cross_cats_sorted":[],"title_canon_sha256":"c710c05df9e41d7cfa5ab82e68906494a5ad311cb4ee2849066b3939d857aca4","abstract_canon_sha256":"c5f31112c573c59f916a879eb56e977da70c831c282f5a29dba8e210a90e7be1"},"schema_version":"1.0"},"canonical_sha256":"85aab7801a19f9cf4c180d011c709700bcadb9992611ccbece61db9db407b2b5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:52:08.395490Z","signature_b64":"uYIH62bCCJcq5tBDAnMdkTVKlLVWoUYMpglxpA4CosvTpi333rNmDyFn3QXEvSPMOXC7SE5d8yg1kZNOASbXCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85aab7801a19f9cf4c180d011c709700bcadb9992611ccbece61db9db407b2b5","last_reissued_at":"2026-07-04T23:52:08.395113Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:52:08.395113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1908.02396","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":"2026-07-04T23:52:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/NzBVEkst148UeI29x8WjjgtQLDQVB7hN05pkxOPNHKzCaDfuXsvLqUhQHF20ROzpBJ6BU9PCOaAA3jrrtvPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:55:50.463844Z"},"content_sha256":"c9ce0dc63a23fe669374747222c2efba89ced3c11d444eba9d58b13647ef589e","schema_version":"1.0","event_id":"sha256:c9ce0dc63a23fe669374747222c2efba89ced3c11d444eba9d58b13647ef589e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:QWVLPAA2DH446TAYBUARY4EXAC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Concordance to links with an unknotted component","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Christopher William Davis, Junghwan Park","submitted_at":"2019-08-06T23:26:12Z","abstract_excerpt":"We construct links of arbitrarily many components each component of which is slice and yet are not concordant to any link with even one unknotted component. The only tool we use comes from the Alexander modules."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02396","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1908.02396/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":"2026-07-04T23:52:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oBnnEeoC2B3bVbjoXO/CyODBSltYZJrfI/qIFwG1Rgp77+xTBgdoTgaDeO0PdwwpfYBzEOwQLX4+JKlhskhGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T07:55:50.464369Z"},"content_sha256":"c994881157efe862465e78b588d0ae53e1a47373005228f70771288f07f240df","schema_version":"1.0","event_id":"sha256:c994881157efe862465e78b588d0ae53e1a47373005228f70771288f07f240df"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QWVLPAA2DH446TAYBUARY4EXAC/bundle.json","state_url":"https://pith.science/pith/QWVLPAA2DH446TAYBUARY4EXAC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QWVLPAA2DH446TAYBUARY4EXAC/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":"2026-08-16T07:55:50Z","links":{"resolver":"https://pith.science/pith/QWVLPAA2DH446TAYBUARY4EXAC","bundle":"https://pith.science/pith/QWVLPAA2DH446TAYBUARY4EXAC/bundle.json","state":"https://pith.science/pith/QWVLPAA2DH446TAYBUARY4EXAC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QWVLPAA2DH446TAYBUARY4EXAC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:QWVLPAA2DH446TAYBUARY4EXAC","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":"c5f31112c573c59f916a879eb56e977da70c831c282f5a29dba8e210a90e7be1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-06T23:26:12Z","title_canon_sha256":"c710c05df9e41d7cfa5ab82e68906494a5ad311cb4ee2849066b3939d857aca4"},"schema_version":"1.0","source":{"id":"1908.02396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.02396","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"arxiv_version","alias_value":"1908.02396v1","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.02396","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"pith_short_12","alias_value":"QWVLPAA2DH44","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"pith_short_16","alias_value":"QWVLPAA2DH446TAY","created_at":"2026-07-04T23:52:08Z"},{"alias_kind":"pith_short_8","alias_value":"QWVLPAA2","created_at":"2026-07-04T23:52:08Z"}],"graph_snapshots":[{"event_id":"sha256:c994881157efe862465e78b588d0ae53e1a47373005228f70771288f07f240df","target":"graph","created_at":"2026-07-04T23:52:08Z","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/1908.02396/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct links of arbitrarily many components each component of which is slice and yet are not concordant to any link with even one unknotted component. The only tool we use comes from the Alexander modules.","authors_text":"Christopher William Davis, Junghwan Park","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-06T23:26:12Z","title":"Concordance to links with an unknotted component"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.02396","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:c9ce0dc63a23fe669374747222c2efba89ced3c11d444eba9d58b13647ef589e","target":"record","created_at":"2026-07-04T23:52:08Z","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":"c5f31112c573c59f916a879eb56e977da70c831c282f5a29dba8e210a90e7be1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2019-08-06T23:26:12Z","title_canon_sha256":"c710c05df9e41d7cfa5ab82e68906494a5ad311cb4ee2849066b3939d857aca4"},"schema_version":"1.0","source":{"id":"1908.02396","kind":"arxiv","version":1}},"canonical_sha256":"85aab7801a19f9cf4c180d011c709700bcadb9992611ccbece61db9db407b2b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85aab7801a19f9cf4c180d011c709700bcadb9992611ccbece61db9db407b2b5","first_computed_at":"2026-07-04T23:52:08.395113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:52:08.395113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uYIH62bCCJcq5tBDAnMdkTVKlLVWoUYMpglxpA4CosvTpi333rNmDyFn3QXEvSPMOXC7SE5d8yg1kZNOASbXCw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:52:08.395490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.02396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c9ce0dc63a23fe669374747222c2efba89ced3c11d444eba9d58b13647ef589e","sha256:c994881157efe862465e78b588d0ae53e1a47373005228f70771288f07f240df"],"state_sha256":"aa086053e0da64bbdcbf9fd83ed123b50ebd07c95846fb8445ab318b022ab21b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d/YIwUgcfGwfgrD+twwInxPGHRrpAJHjRa/ehqgyqR0WeV+LnbyQr+VtAbTb+8YR/PjyWKZj6rNyddSHt4I0AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T07:55:50.469263Z","bundle_sha256":"e9077cab179f83031f34ff3b1029b7abe0d41321377dd531d8a7eb5a72429644"}}