{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2MIL4EGS3Q7LC5YUTFJ6QHZY2T","short_pith_number":"pith:2MIL4EGS","canonical_record":{"source":{"id":"1508.07047","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-27T22:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"a40751edde4bbccfe19a0f420233578132c750e67af3e4eb6fc4c4e2ed73686f","abstract_canon_sha256":"30d5537747a79e7e46e37239dab34e3c3dc50b29ba2ede69317530782fe2b832"},"schema_version":"1.0"},"canonical_sha256":"d310be10d2dc3eb177149953e81f38d4c2a7a774770b5fe7f97fdbe035963c78","source":{"kind":"arxiv","id":"1508.07047","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07047","created_at":"2026-05-18T00:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07047v2","created_at":"2026-05-18T00:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07047","created_at":"2026-05-18T00:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"2MIL4EGS3Q7L","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2MIL4EGS3Q7LC5YU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2MIL4EGS","created_at":"2026-05-18T12:29:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2MIL4EGS3Q7LC5YUTFJ6QHZY2T","target":"record","payload":{"canonical_record":{"source":{"id":"1508.07047","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-27T22:24:31Z","cross_cats_sorted":[],"title_canon_sha256":"a40751edde4bbccfe19a0f420233578132c750e67af3e4eb6fc4c4e2ed73686f","abstract_canon_sha256":"30d5537747a79e7e46e37239dab34e3c3dc50b29ba2ede69317530782fe2b832"},"schema_version":"1.0"},"canonical_sha256":"d310be10d2dc3eb177149953e81f38d4c2a7a774770b5fe7f97fdbe035963c78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:09.025161Z","signature_b64":"MTIrywc6t4SQsWSWCWv7cliom2tWrss6nFoPSk6hwvsSc11Rp5c6+I4Dl3v/lweNZ6RsTjDMJlEk5zPhi9etCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d310be10d2dc3eb177149953e81f38d4c2a7a774770b5fe7f97fdbe035963c78","last_reissued_at":"2026-05-18T00:26:09.024472Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:09.024472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.07047","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":"2026-05-18T00:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OWWKg4ekASZ4sqKGgPPGBRm/mkShogoeEkh0YbqegASJfyswSFHjineVjD5bECXtdgkCW+3cDI77ZiPBC6dXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:08:55.569556Z"},"content_sha256":"711578dc0f8dd11743a0d09fc4490927ebe8c5e24785533b00a0dc1216b00fd3","schema_version":"1.0","event_id":"sha256:711578dc0f8dd11743a0d09fc4490927ebe8c5e24785533b00a0dc1216b00fd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2MIL4EGS3Q7LC5YUTFJ6QHZY2T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A slicing obstruction from the 10/8 theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Andrew Donald, Faramarz Vafaee","submitted_at":"2015-08-27T22:24:31Z","abstract_excerpt":"From Furuta's $\\frac{10}{8}$ theorem, we derive a smooth slicing obstruction for knots in $S^3$ using a spin $4$-manifold whose boundary is $0$-surgery on a knot. We show that this obstruction is able to detect torsion elements in the smooth concordance group and find topologically slice knots which are not smoothly slice."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07047","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":"2026-05-18T00:26:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cK4XZED3+4EVEDWqDZXtxXNb6W6paXQtRQe6ms/JcnVGagmO8jR6Fk5GufYxIFIWEWIz6N27vwrDAiQZNAoVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T23:08:55.569900Z"},"content_sha256":"0563807904a39ea6d14749ba947407341027098ca128266bbd48fae03586ae76","schema_version":"1.0","event_id":"sha256:0563807904a39ea6d14749ba947407341027098ca128266bbd48fae03586ae76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2MIL4EGS3Q7LC5YUTFJ6QHZY2T/bundle.json","state_url":"https://pith.science/pith/2MIL4EGS3Q7LC5YUTFJ6QHZY2T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2MIL4EGS3Q7LC5YUTFJ6QHZY2T/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":"2026-06-08T23:08:55Z","links":{"resolver":"https://pith.science/pith/2MIL4EGS3Q7LC5YUTFJ6QHZY2T","bundle":"https://pith.science/pith/2MIL4EGS3Q7LC5YUTFJ6QHZY2T/bundle.json","state":"https://pith.science/pith/2MIL4EGS3Q7LC5YUTFJ6QHZY2T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2MIL4EGS3Q7LC5YUTFJ6QHZY2T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2MIL4EGS3Q7LC5YUTFJ6QHZY2T","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":"30d5537747a79e7e46e37239dab34e3c3dc50b29ba2ede69317530782fe2b832","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-27T22:24:31Z","title_canon_sha256":"a40751edde4bbccfe19a0f420233578132c750e67af3e4eb6fc4c4e2ed73686f"},"schema_version":"1.0","source":{"id":"1508.07047","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.07047","created_at":"2026-05-18T00:26:09Z"},{"alias_kind":"arxiv_version","alias_value":"1508.07047v2","created_at":"2026-05-18T00:26:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.07047","created_at":"2026-05-18T00:26:09Z"},{"alias_kind":"pith_short_12","alias_value":"2MIL4EGS3Q7L","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"2MIL4EGS3Q7LC5YU","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"2MIL4EGS","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:0563807904a39ea6d14749ba947407341027098ca128266bbd48fae03586ae76","target":"graph","created_at":"2026-05-18T00:26:09Z","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":"From Furuta's $\\frac{10}{8}$ theorem, we derive a smooth slicing obstruction for knots in $S^3$ using a spin $4$-manifold whose boundary is $0$-surgery on a knot. We show that this obstruction is able to detect torsion elements in the smooth concordance group and find topologically slice knots which are not smoothly slice.","authors_text":"Andrew Donald, Faramarz Vafaee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-27T22:24:31Z","title":"A slicing obstruction from the 10/8 theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.07047","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":"sha256:711578dc0f8dd11743a0d09fc4490927ebe8c5e24785533b00a0dc1216b00fd3","target":"record","created_at":"2026-05-18T00:26:09Z","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":"30d5537747a79e7e46e37239dab34e3c3dc50b29ba2ede69317530782fe2b832","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-27T22:24:31Z","title_canon_sha256":"a40751edde4bbccfe19a0f420233578132c750e67af3e4eb6fc4c4e2ed73686f"},"schema_version":"1.0","source":{"id":"1508.07047","kind":"arxiv","version":2}},"canonical_sha256":"d310be10d2dc3eb177149953e81f38d4c2a7a774770b5fe7f97fdbe035963c78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d310be10d2dc3eb177149953e81f38d4c2a7a774770b5fe7f97fdbe035963c78","first_computed_at":"2026-05-18T00:26:09.024472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:09.024472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MTIrywc6t4SQsWSWCWv7cliom2tWrss6nFoPSk6hwvsSc11Rp5c6+I4Dl3v/lweNZ6RsTjDMJlEk5zPhi9etCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:09.025161Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.07047","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:711578dc0f8dd11743a0d09fc4490927ebe8c5e24785533b00a0dc1216b00fd3","sha256:0563807904a39ea6d14749ba947407341027098ca128266bbd48fae03586ae76"],"state_sha256":"c5426ef3381627cbc48be542a0a876b617d951f01296e5b84949abb7c6e113d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FOSAFRBOHtJaQRGewoqiu4JnkP9sGbrfEMlbOk0JnascfpkUHOZVYj4eF4zfk67kG3Fwra7X1ei3D1IBdRV+Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T23:08:55.571975Z","bundle_sha256":"f948fa80edf1d8fd714afc84aad2c2c3399e1a0712f2cb1cef8cd9d893446c88"}}