{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:ELDEXNUWZLKBRTLOTNEBFFDSKG","short_pith_number":"pith:ELDEXNUW","canonical_record":{"source":{"id":"1508.00525","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-03T18:51:03Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"b948bfee2386622e21f7cf8e30745a12e995d59523f7d1b64547bd44d16cbece","abstract_canon_sha256":"3d602134960e6893c815f35b707d394fda5ec7f7c13c2125911756c41ebfdad0"},"schema_version":"1.0"},"canonical_sha256":"22c64bb696cad418cd6e9b4812947251a921e0352efb6324bdcc2518f4d8c7e6","source":{"kind":"arxiv","id":"1508.00525","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00525","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00525v2","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00525","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"pith_short_12","alias_value":"ELDEXNUWZLKB","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ELDEXNUWZLKBRTLO","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ELDEXNUW","created_at":"2026-05-18T12:29:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:ELDEXNUWZLKBRTLOTNEBFFDSKG","target":"record","payload":{"canonical_record":{"source":{"id":"1508.00525","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-03T18:51:03Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"b948bfee2386622e21f7cf8e30745a12e995d59523f7d1b64547bd44d16cbece","abstract_canon_sha256":"3d602134960e6893c815f35b707d394fda5ec7f7c13c2125911756c41ebfdad0"},"schema_version":"1.0"},"canonical_sha256":"22c64bb696cad418cd6e9b4812947251a921e0352efb6324bdcc2518f4d8c7e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:03.815524Z","signature_b64":"4CwKZCq06grQMrHgS+0h+JbJsP2y8qWo8M0IcVRJJGv3YNckYFDR4YDJvzrlL+9NYsOqKZyazk7oDeBOz122DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22c64bb696cad418cd6e9b4812947251a921e0352efb6324bdcc2518f4d8c7e6","last_reissued_at":"2026-05-18T00:54:03.815006Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:03.815006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.00525","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":"2026-05-18T00:54:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FgUxGmyLqSE5VZ/IXhxS44k/Jr8r7A/vFd/EUxe4/Dwjf5g97E7mIJo6yaHkDxs1MgiTahNgxKweDRBzQBBGBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:46:08.608477Z"},"content_sha256":"501e02ceaa2e21a042d293dcd4d5f099722ba131e38a11c12c7b06e86b41d2c5","schema_version":"1.0","event_id":"sha256:501e02ceaa2e21a042d293dcd4d5f099722ba131e38a11c12c7b06e86b41d2c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:ELDEXNUWZLKBRTLOTNEBFFDSKG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Tight Contact Structures via Admissible Transverse Surgery","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.GT","authors_text":"James Conway","submitted_at":"2015-08-03T18:51:03Z","abstract_excerpt":"We investigate the line between tight and overtwisted for surgeries on fibred transverse knots in contact 3-manifolds. When the contact structure $\\xi_K$ is supported by the fibred knot $K \\subset M$, we obtain a characterisation of when negative surgeries result in a contact structure with non-vanishing Heegaard Floer contact class. To do this, we leverage information about the contact structure $\\xi_{\\overline{K}}$ supported by the mirror knot $\\overline{K} \\subset -M$. We derive several corollaries about the existence of tight contact structures, L-space knots outside $S^3$, non-planar cont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00525","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":"2026-05-18T00:54:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ECplapaG2rt5m4rqOYpjlWbjv+hagROgoUaS0r8GzFYbiIbHwDdzkbQVW+bpnZaznlBI1C2I4TEpmWbjSR0UAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:46:08.608819Z"},"content_sha256":"ec00348cb86829c949e18498ad8e95fdd4270da22ab97af4937a3c03eba45f3e","schema_version":"1.0","event_id":"sha256:ec00348cb86829c949e18498ad8e95fdd4270da22ab97af4937a3c03eba45f3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ELDEXNUWZLKBRTLOTNEBFFDSKG/bundle.json","state_url":"https://pith.science/pith/ELDEXNUWZLKBRTLOTNEBFFDSKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ELDEXNUWZLKBRTLOTNEBFFDSKG/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":"2026-06-09T09:46:08Z","links":{"resolver":"https://pith.science/pith/ELDEXNUWZLKBRTLOTNEBFFDSKG","bundle":"https://pith.science/pith/ELDEXNUWZLKBRTLOTNEBFFDSKG/bundle.json","state":"https://pith.science/pith/ELDEXNUWZLKBRTLOTNEBFFDSKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ELDEXNUWZLKBRTLOTNEBFFDSKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:ELDEXNUWZLKBRTLOTNEBFFDSKG","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":"3d602134960e6893c815f35b707d394fda5ec7f7c13c2125911756c41ebfdad0","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-03T18:51:03Z","title_canon_sha256":"b948bfee2386622e21f7cf8e30745a12e995d59523f7d1b64547bd44d16cbece"},"schema_version":"1.0","source":{"id":"1508.00525","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.00525","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"arxiv_version","alias_value":"1508.00525v2","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.00525","created_at":"2026-05-18T00:54:03Z"},{"alias_kind":"pith_short_12","alias_value":"ELDEXNUWZLKB","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_16","alias_value":"ELDEXNUWZLKBRTLO","created_at":"2026-05-18T12:29:19Z"},{"alias_kind":"pith_short_8","alias_value":"ELDEXNUW","created_at":"2026-05-18T12:29:19Z"}],"graph_snapshots":[{"event_id":"sha256:ec00348cb86829c949e18498ad8e95fdd4270da22ab97af4937a3c03eba45f3e","target":"graph","created_at":"2026-05-18T00:54:03Z","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 investigate the line between tight and overtwisted for surgeries on fibred transverse knots in contact 3-manifolds. When the contact structure $\\xi_K$ is supported by the fibred knot $K \\subset M$, we obtain a characterisation of when negative surgeries result in a contact structure with non-vanishing Heegaard Floer contact class. To do this, we leverage information about the contact structure $\\xi_{\\overline{K}}$ supported by the mirror knot $\\overline{K} \\subset -M$. We derive several corollaries about the existence of tight contact structures, L-space knots outside $S^3$, non-planar cont","authors_text":"James Conway","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-03T18:51:03Z","title":"Tight Contact Structures via Admissible Transverse Surgery"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.00525","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":"sha256:501e02ceaa2e21a042d293dcd4d5f099722ba131e38a11c12c7b06e86b41d2c5","target":"record","created_at":"2026-05-18T00:54:03Z","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":"3d602134960e6893c815f35b707d394fda5ec7f7c13c2125911756c41ebfdad0","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-08-03T18:51:03Z","title_canon_sha256":"b948bfee2386622e21f7cf8e30745a12e995d59523f7d1b64547bd44d16cbece"},"schema_version":"1.0","source":{"id":"1508.00525","kind":"arxiv","version":2}},"canonical_sha256":"22c64bb696cad418cd6e9b4812947251a921e0352efb6324bdcc2518f4d8c7e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22c64bb696cad418cd6e9b4812947251a921e0352efb6324bdcc2518f4d8c7e6","first_computed_at":"2026-05-18T00:54:03.815006Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:03.815006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4CwKZCq06grQMrHgS+0h+JbJsP2y8qWo8M0IcVRJJGv3YNckYFDR4YDJvzrlL+9NYsOqKZyazk7oDeBOz122DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:03.815524Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.00525","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:501e02ceaa2e21a042d293dcd4d5f099722ba131e38a11c12c7b06e86b41d2c5","sha256:ec00348cb86829c949e18498ad8e95fdd4270da22ab97af4937a3c03eba45f3e"],"state_sha256":"e314e20ac16cf50cd291e01b1e6bfc632bce9aa4cf14a8b1aaf206610aff718f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wfkaee3lynmXG71AyAeQ2+cZkn3eFrGHvlRB1ZtntVOODNzwgCtU7VDEqEm9rW+IkI0RLmEzWVL2RLzmzImZDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:46:08.610707Z","bundle_sha256":"980ce01ebe5a8ebbef44da8949a0e785d8959d821033c23be31ae229024da94d"}}