{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:TPEG6XA6OO42RM4NZFXJDX6QI3","short_pith_number":"pith:TPEG6XA6","canonical_record":{"source":{"id":"0802.2585","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-19T20:49:23Z","cross_cats_sorted":[],"title_canon_sha256":"4dfa0ddaa3b4023476aa90487b21a6e7b3b77363183eec0a2877069f14b0eb63","abstract_canon_sha256":"96a35f7032b5f1d5f05f30b9f8f323f61e96fc75abf4035ed778d4169152490f"},"schema_version":"1.0"},"canonical_sha256":"9bc86f5c1e73b9a8b38dc96e91dfd046f7d2f3bb34040a87cc6d7da28c27320c","source":{"kind":"arxiv","id":"0802.2585","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2585","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2585v2","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2585","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"TPEG6XA6OO42","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TPEG6XA6OO42RM4N","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TPEG6XA6","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:TPEG6XA6OO42RM4NZFXJDX6QI3","target":"record","payload":{"canonical_record":{"source":{"id":"0802.2585","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-19T20:49:23Z","cross_cats_sorted":[],"title_canon_sha256":"4dfa0ddaa3b4023476aa90487b21a6e7b3b77363183eec0a2877069f14b0eb63","abstract_canon_sha256":"96a35f7032b5f1d5f05f30b9f8f323f61e96fc75abf4035ed778d4169152490f"},"schema_version":"1.0"},"canonical_sha256":"9bc86f5c1e73b9a8b38dc96e91dfd046f7d2f3bb34040a87cc6d7da28c27320c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:01.038860Z","signature_b64":"8MPMsE/e9Eb1osQmt1Re7CtmnHRkLXu4rO70pEhO+++RPhWo+vshi/3gp0Pnwli2R8K0+UHOB/7Ss7v5K6BrBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bc86f5c1e73b9a8b38dc96e91dfd046f7d2f3bb34040a87cc6d7da28c27320c","last_reissued_at":"2026-05-18T02:16:01.038348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:01.038348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0802.2585","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":"2026-05-18T02:16:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K8xuMUemSD3nI85LIW3YMc/eRgsa3O5V9Oy4qp8SdOFcbJc5t1razMMewPzoF/4Xgu96UmOFezLVc9w/4HS5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:52:48.016954Z"},"content_sha256":"f28badd1cbcbaff13dc4e41b6a4874295d7dce690df0a1cad33331d2b0740cbe","schema_version":"1.0","event_id":"sha256:f28badd1cbcbaff13dc4e41b6a4874295d7dce690df0a1cad33331d2b0740cbe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:TPEG6XA6OO42RM4NZFXJDX6QI3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Connect sum and transversely non simple knots","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Keiko Kawamuro","submitted_at":"2008-02-19T20:49:23Z","abstract_excerpt":"We prove that transversal non-simplicity is preserved under taking connect sum, generalizing Vertesi's result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2585","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":"2026-05-18T02:16:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqgifdYYuGSPgyjjAZtA9jynW7wgH1gSI4GptZ1cqLqApkfIzcCP+tgYzQGt3PIp8wmB/ltjtclpUwGdOYCXDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T23:52:48.017297Z"},"content_sha256":"c08c7ff4f68e4c61b9c7623c705a660d7ce4804f0315412824120443b1156746","schema_version":"1.0","event_id":"sha256:c08c7ff4f68e4c61b9c7623c705a660d7ce4804f0315412824120443b1156746"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TPEG6XA6OO42RM4NZFXJDX6QI3/bundle.json","state_url":"https://pith.science/pith/TPEG6XA6OO42RM4NZFXJDX6QI3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TPEG6XA6OO42RM4NZFXJDX6QI3/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":"2026-06-21T23:52:48Z","links":{"resolver":"https://pith.science/pith/TPEG6XA6OO42RM4NZFXJDX6QI3","bundle":"https://pith.science/pith/TPEG6XA6OO42RM4NZFXJDX6QI3/bundle.json","state":"https://pith.science/pith/TPEG6XA6OO42RM4NZFXJDX6QI3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TPEG6XA6OO42RM4NZFXJDX6QI3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:TPEG6XA6OO42RM4NZFXJDX6QI3","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":"96a35f7032b5f1d5f05f30b9f8f323f61e96fc75abf4035ed778d4169152490f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-19T20:49:23Z","title_canon_sha256":"4dfa0ddaa3b4023476aa90487b21a6e7b3b77363183eec0a2877069f14b0eb63"},"schema_version":"1.0","source":{"id":"0802.2585","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0802.2585","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"arxiv_version","alias_value":"0802.2585v2","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0802.2585","created_at":"2026-05-18T02:16:01Z"},{"alias_kind":"pith_short_12","alias_value":"TPEG6XA6OO42","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"TPEG6XA6OO42RM4N","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"TPEG6XA6","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:c08c7ff4f68e4c61b9c7623c705a660d7ce4804f0315412824120443b1156746","target":"graph","created_at":"2026-05-18T02:16:01Z","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 prove that transversal non-simplicity is preserved under taking connect sum, generalizing Vertesi's result.","authors_text":"Keiko Kawamuro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-19T20:49:23Z","title":"Connect sum and transversely non simple knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0802.2585","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:f28badd1cbcbaff13dc4e41b6a4874295d7dce690df0a1cad33331d2b0740cbe","target":"record","created_at":"2026-05-18T02:16:01Z","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":"96a35f7032b5f1d5f05f30b9f8f323f61e96fc75abf4035ed778d4169152490f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2008-02-19T20:49:23Z","title_canon_sha256":"4dfa0ddaa3b4023476aa90487b21a6e7b3b77363183eec0a2877069f14b0eb63"},"schema_version":"1.0","source":{"id":"0802.2585","kind":"arxiv","version":2}},"canonical_sha256":"9bc86f5c1e73b9a8b38dc96e91dfd046f7d2f3bb34040a87cc6d7da28c27320c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bc86f5c1e73b9a8b38dc96e91dfd046f7d2f3bb34040a87cc6d7da28c27320c","first_computed_at":"2026-05-18T02:16:01.038348Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:01.038348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8MPMsE/e9Eb1osQmt1Re7CtmnHRkLXu4rO70pEhO+++RPhWo+vshi/3gp0Pnwli2R8K0+UHOB/7Ss7v5K6BrBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:01.038860Z","signed_message":"canonical_sha256_bytes"},"source_id":"0802.2585","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f28badd1cbcbaff13dc4e41b6a4874295d7dce690df0a1cad33331d2b0740cbe","sha256:c08c7ff4f68e4c61b9c7623c705a660d7ce4804f0315412824120443b1156746"],"state_sha256":"103035719c8b7d57bdaa88f90ac546216e797c6ddc7664f5ac4bd7a6a72bb8a6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m8JBcGP5XMPbHDNYitG5nq4djUg68PD3SdxJcUsyn/5VEJ8ww1kp/So/U2/nzvukCJrKu5v10/vDiFIxFOq9Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T23:52:48.019265Z","bundle_sha256":"5ace13ed0ac3ded2cdea3926afe4b3864cc92ab76728199a36f6247179e0c978"}}