{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:LZPYU3EJSYFMENXITY6XZWBSLV","short_pith_number":"pith:LZPYU3EJ","canonical_record":{"source":{"id":"1205.5544","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-05-24T19:47:03Z","cross_cats_sorted":[],"title_canon_sha256":"f73ebef50231c9c435430356b8e28cfd1b4df131d5d22d2d50a39a31f2b7cacd","abstract_canon_sha256":"1adfb890b80900f03952fdd61a19dee7a4faa8176afafe3fd5936e6179980e19"},"schema_version":"1.0"},"canonical_sha256":"5e5f8a6c89960ac236e89e3d7cd8325d49d2ccde4ac361a894f6c3d2a096a2cc","source":{"kind":"arxiv","id":"1205.5544","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5544","created_at":"2026-05-18T01:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5544v6","created_at":"2026-05-18T01:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5544","created_at":"2026-05-18T01:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"LZPYU3EJSYFM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LZPYU3EJSYFMENXI","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LZPYU3EJ","created_at":"2026-05-18T12:27:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:LZPYU3EJSYFMENXITY6XZWBSLV","target":"record","payload":{"canonical_record":{"source":{"id":"1205.5544","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-05-24T19:47:03Z","cross_cats_sorted":[],"title_canon_sha256":"f73ebef50231c9c435430356b8e28cfd1b4df131d5d22d2d50a39a31f2b7cacd","abstract_canon_sha256":"1adfb890b80900f03952fdd61a19dee7a4faa8176afafe3fd5936e6179980e19"},"schema_version":"1.0"},"canonical_sha256":"5e5f8a6c89960ac236e89e3d7cd8325d49d2ccde4ac361a894f6c3d2a096a2cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:00:03.330263Z","signature_b64":"raJuFSO1YG9/dzKuxL9Q1s5usrY1d/C0yhqWNgCGdDTAY++jNOB+xSl7fUwFh+53PybIDo97HnsGvJpqKRSADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e5f8a6c89960ac236e89e3d7cd8325d49d2ccde4ac361a894f6c3d2a096a2cc","last_reissued_at":"2026-05-18T01:00:03.329618Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:00:03.329618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1205.5544","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k+bov+234YSbQQpsq6jzvKcWtEXmklXwVZk6Q4PUG+l89itJ2gXrdejlR675RdYmY44RGCyCFGVu1DDzJF9TCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:18:08.454293Z"},"content_sha256":"71b4ec392c1cf18bdb0785162913fdc7f790df3fc27eeadd17b6233090cd754f","schema_version":"1.0","event_id":"sha256:71b4ec392c1cf18bdb0785162913fdc7f790df3fc27eeadd17b6233090cd754f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:LZPYU3EJSYFMENXITY6XZWBSLV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Legendrian Ambient Surgery and Legendrian Contact Homology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Georgios Dimitroglou Rizell","submitted_at":"2012-05-24T19:47:03Z","abstract_excerpt":"Let $L \\subset Y$ be a Legendrian submanifold of a contact manifold, $S\\subset L$ a framed embedded sphere bounding an isotropic disc $D_S \\subset Y \\setminus L$, and use $L_S$ to denote the manifold obtained from $L$ by a surgery on $S$. Given some additional conditions on $D_S$ we describe how to obtain a Legendrian embedding of $L_S$ into an arbitrarily small neighbourhood of $L \\cup D_S \\subset Y$ by a construction that we call Legendrian ambient surgery. In the case when the disc is subcritical, we produce an isomorphism of the Chekanov-Eliashberg algebra of $L_S$ with a version of the Ch"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5544","kind":"arxiv","version":6},"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":"2026-05-18T01:00:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j+XBz+7KbnR7wbIpI45E2W07ZLqsyg/XntBbYs9vcwf89YvSVCP1L6inRpE56Hwlb7B0he8SUPW3ju8+mnuMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T15:18:08.454894Z"},"content_sha256":"4a2735ef2cd8ac70becd6295569c635e9b43c712a245e8b2845e313ab616b42c","schema_version":"1.0","event_id":"sha256:4a2735ef2cd8ac70becd6295569c635e9b43c712a245e8b2845e313ab616b42c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LZPYU3EJSYFMENXITY6XZWBSLV/bundle.json","state_url":"https://pith.science/pith/LZPYU3EJSYFMENXITY6XZWBSLV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LZPYU3EJSYFMENXITY6XZWBSLV/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":"2026-06-11T15:18:08Z","links":{"resolver":"https://pith.science/pith/LZPYU3EJSYFMENXITY6XZWBSLV","bundle":"https://pith.science/pith/LZPYU3EJSYFMENXITY6XZWBSLV/bundle.json","state":"https://pith.science/pith/LZPYU3EJSYFMENXITY6XZWBSLV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LZPYU3EJSYFMENXITY6XZWBSLV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:LZPYU3EJSYFMENXITY6XZWBSLV","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":"1adfb890b80900f03952fdd61a19dee7a4faa8176afafe3fd5936e6179980e19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-05-24T19:47:03Z","title_canon_sha256":"f73ebef50231c9c435430356b8e28cfd1b4df131d5d22d2d50a39a31f2b7cacd"},"schema_version":"1.0","source":{"id":"1205.5544","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.5544","created_at":"2026-05-18T01:00:03Z"},{"alias_kind":"arxiv_version","alias_value":"1205.5544v6","created_at":"2026-05-18T01:00:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5544","created_at":"2026-05-18T01:00:03Z"},{"alias_kind":"pith_short_12","alias_value":"LZPYU3EJSYFM","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_16","alias_value":"LZPYU3EJSYFMENXI","created_at":"2026-05-18T12:27:14Z"},{"alias_kind":"pith_short_8","alias_value":"LZPYU3EJ","created_at":"2026-05-18T12:27:14Z"}],"graph_snapshots":[{"event_id":"sha256:4a2735ef2cd8ac70becd6295569c635e9b43c712a245e8b2845e313ab616b42c","target":"graph","created_at":"2026-05-18T01:00:03Z","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":"Let $L \\subset Y$ be a Legendrian submanifold of a contact manifold, $S\\subset L$ a framed embedded sphere bounding an isotropic disc $D_S \\subset Y \\setminus L$, and use $L_S$ to denote the manifold obtained from $L$ by a surgery on $S$. Given some additional conditions on $D_S$ we describe how to obtain a Legendrian embedding of $L_S$ into an arbitrarily small neighbourhood of $L \\cup D_S \\subset Y$ by a construction that we call Legendrian ambient surgery. In the case when the disc is subcritical, we produce an isomorphism of the Chekanov-Eliashberg algebra of $L_S$ with a version of the Ch","authors_text":"Georgios Dimitroglou Rizell","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-05-24T19:47:03Z","title":"Legendrian Ambient Surgery and Legendrian Contact Homology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5544","kind":"arxiv","version":6},"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":"sha256:71b4ec392c1cf18bdb0785162913fdc7f790df3fc27eeadd17b6233090cd754f","target":"record","created_at":"2026-05-18T01:00:03Z","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":"1adfb890b80900f03952fdd61a19dee7a4faa8176afafe3fd5936e6179980e19","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-05-24T19:47:03Z","title_canon_sha256":"f73ebef50231c9c435430356b8e28cfd1b4df131d5d22d2d50a39a31f2b7cacd"},"schema_version":"1.0","source":{"id":"1205.5544","kind":"arxiv","version":6}},"canonical_sha256":"5e5f8a6c89960ac236e89e3d7cd8325d49d2ccde4ac361a894f6c3d2a096a2cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e5f8a6c89960ac236e89e3d7cd8325d49d2ccde4ac361a894f6c3d2a096a2cc","first_computed_at":"2026-05-18T01:00:03.329618Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:00:03.329618Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"raJuFSO1YG9/dzKuxL9Q1s5usrY1d/C0yhqWNgCGdDTAY++jNOB+xSl7fUwFh+53PybIDo97HnsGvJpqKRSADQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:00:03.330263Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.5544","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71b4ec392c1cf18bdb0785162913fdc7f790df3fc27eeadd17b6233090cd754f","sha256:4a2735ef2cd8ac70becd6295569c635e9b43c712a245e8b2845e313ab616b42c"],"state_sha256":"f1cc242da1884e6506546d6d19f54c0189f61a4b7c3c3d5430158e0cbab8da61"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l/hVTYfl540bW6cf1M0T8s/rYlhbBfYtpOLw7r9Hm7MIbnSZCedUxFC8l1yavSrdFZjEABcjs+7hSI1MeJf+CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T15:18:08.459153Z","bundle_sha256":"e969b88015deff64a5c52a83615570238572a630462671553b6b26daf58b7fa0"}}