{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EPTPRPEB43F2Q5ITD5E24JH3RV","short_pith_number":"pith:EPTPRPEB","canonical_record":{"source":{"id":"1706.07940","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-06-24T11:19:45Z","cross_cats_sorted":[],"title_canon_sha256":"c7fd141492284c3eaa6eff6d528a96a5c2aac575e47eb6af3952a219e23212e7","abstract_canon_sha256":"4bdedfabec6b3930d9e7043383da6dc00053b4c569639e6df5e7f39b3046d1a9"},"schema_version":"1.0"},"canonical_sha256":"23e6f8bc81e6cba875131f49ae24fb8d5b3255c24069e4ebc94547fb91d1b958","source":{"kind":"arxiv","id":"1706.07940","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07940","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07940v3","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07940","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"EPTPRPEB43F2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EPTPRPEB43F2Q5IT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EPTPRPEB","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EPTPRPEB43F2Q5ITD5E24JH3RV","target":"record","payload":{"canonical_record":{"source":{"id":"1706.07940","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-06-24T11:19:45Z","cross_cats_sorted":[],"title_canon_sha256":"c7fd141492284c3eaa6eff6d528a96a5c2aac575e47eb6af3952a219e23212e7","abstract_canon_sha256":"4bdedfabec6b3930d9e7043383da6dc00053b4c569639e6df5e7f39b3046d1a9"},"schema_version":"1.0"},"canonical_sha256":"23e6f8bc81e6cba875131f49ae24fb8d5b3255c24069e4ebc94547fb91d1b958","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:48.499844Z","signature_b64":"HJ3vZWJXSQN116mCp6FXJl4Ee7L400dNGx/ZhINCkPExZJi+gyueVcjXjMWA315QEdbxPYfuhk6F9V5pfefvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23e6f8bc81e6cba875131f49ae24fb8d5b3255c24069e4ebc94547fb91d1b958","last_reissued_at":"2026-05-18T00:40:48.499138Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:48.499138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1706.07940","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/LZv4nKGkFigC7aK4ueufOSe2pLWEpJECDMhIfirdlqZOKE0y+gH1ZURKIRC5apUmY2JsgNqZe+66clvhcDEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:21:47.751154Z"},"content_sha256":"66f7533a8ad11d2622c3d60f3f3473b9ff6cc0808d59ef1cec091cff9812c497","schema_version":"1.0","event_id":"sha256:66f7533a8ad11d2622c3d60f3f3473b9ff6cc0808d59ef1cec091cff9812c497"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EPTPRPEB43F2Q5ITD5E24JH3RV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linking forms of amphichiral knots","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Allison N. Miller, Mark Powell, Stefan Friedl","submitted_at":"2017-06-24T11:19:45Z","abstract_excerpt":"We give a simple obstruction for a knot to be amphichiral, in terms of the homology of the 2-fold branched cover. We work with unoriented knots, and so obstruct both positive and negative amphichirality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07940","kind":"arxiv","version":3},"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":"2026-05-18T00:40:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jm5/o9MSGkkJS0czDdLzsVtIHba7z+XILrlExSrDuD9RptGjVPyB2C3rjmsRBMg4I8vKrRriwomWUEw5o+fiDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:21:47.751782Z"},"content_sha256":"e27b26cd59b3f2201ef34727cf4e539a5162cdac771a71ed30a5bb6e90a4d379","schema_version":"1.0","event_id":"sha256:e27b26cd59b3f2201ef34727cf4e539a5162cdac771a71ed30a5bb6e90a4d379"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EPTPRPEB43F2Q5ITD5E24JH3RV/bundle.json","state_url":"https://pith.science/pith/EPTPRPEB43F2Q5ITD5E24JH3RV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EPTPRPEB43F2Q5ITD5E24JH3RV/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":"2026-05-27T00:21:47Z","links":{"resolver":"https://pith.science/pith/EPTPRPEB43F2Q5ITD5E24JH3RV","bundle":"https://pith.science/pith/EPTPRPEB43F2Q5ITD5E24JH3RV/bundle.json","state":"https://pith.science/pith/EPTPRPEB43F2Q5ITD5E24JH3RV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EPTPRPEB43F2Q5ITD5E24JH3RV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EPTPRPEB43F2Q5ITD5E24JH3RV","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":"4bdedfabec6b3930d9e7043383da6dc00053b4c569639e6df5e7f39b3046d1a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-06-24T11:19:45Z","title_canon_sha256":"c7fd141492284c3eaa6eff6d528a96a5c2aac575e47eb6af3952a219e23212e7"},"schema_version":"1.0","source":{"id":"1706.07940","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.07940","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1706.07940v3","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.07940","created_at":"2026-05-18T00:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"EPTPRPEB43F2","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EPTPRPEB43F2Q5IT","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EPTPRPEB","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:e27b26cd59b3f2201ef34727cf4e539a5162cdac771a71ed30a5bb6e90a4d379","target":"graph","created_at":"2026-05-18T00:40:48Z","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":"We give a simple obstruction for a knot to be amphichiral, in terms of the homology of the 2-fold branched cover. We work with unoriented knots, and so obstruct both positive and negative amphichirality.","authors_text":"Allison N. Miller, Mark Powell, Stefan Friedl","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-06-24T11:19:45Z","title":"Linking forms of amphichiral knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07940","kind":"arxiv","version":3},"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":"sha256:66f7533a8ad11d2622c3d60f3f3473b9ff6cc0808d59ef1cec091cff9812c497","target":"record","created_at":"2026-05-18T00:40:48Z","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":"4bdedfabec6b3930d9e7043383da6dc00053b4c569639e6df5e7f39b3046d1a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2017-06-24T11:19:45Z","title_canon_sha256":"c7fd141492284c3eaa6eff6d528a96a5c2aac575e47eb6af3952a219e23212e7"},"schema_version":"1.0","source":{"id":"1706.07940","kind":"arxiv","version":3}},"canonical_sha256":"23e6f8bc81e6cba875131f49ae24fb8d5b3255c24069e4ebc94547fb91d1b958","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23e6f8bc81e6cba875131f49ae24fb8d5b3255c24069e4ebc94547fb91d1b958","first_computed_at":"2026-05-18T00:40:48.499138Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:48.499138Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HJ3vZWJXSQN116mCp6FXJl4Ee7L400dNGx/ZhINCkPExZJi+gyueVcjXjMWA315QEdbxPYfuhk6F9V5pfefvAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:48.499844Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.07940","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:66f7533a8ad11d2622c3d60f3f3473b9ff6cc0808d59ef1cec091cff9812c497","sha256:e27b26cd59b3f2201ef34727cf4e539a5162cdac771a71ed30a5bb6e90a4d379"],"state_sha256":"a82e1adf2eac3f0e4256929bdb817341acc96fbbb9b3e3ac0055c28ed3ab5e2c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1/wpfAz/tgdv7yWNnd4k1TzDDSWtPmLWOwAxDOfDFK1xHJMz8QEMIcck5FsgNderZlDTcLG+b0/b9o8ntFqZBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:21:47.755736Z","bundle_sha256":"a6740c983967ae5e815714ec9fbe975888eb848db1d88895646351f0b4c157a2"}}