{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:XIBELLSB5RPZ647CSWOOJ3RXD2","short_pith_number":"pith:XIBELLSB","canonical_record":{"source":{"id":"1101.0920","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-05T10:09:12Z","cross_cats_sorted":[],"title_canon_sha256":"11fb6224060915cfca9aa5721ed5f4711c6232c3ce893234933701b99fe9a5d7","abstract_canon_sha256":"7b905218255420c1643f855aea7cf8945f970ca3a5d95024a090c1cc6027001f"},"schema_version":"1.0"},"canonical_sha256":"ba0245ae41ec5f9f73e2959ce4ee371e98fcddee273e42fe56107804d4f56acd","source":{"kind":"arxiv","id":"1101.0920","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0920","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0920v2","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0920","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"XIBELLSB5RPZ","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XIBELLSB5RPZ647C","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XIBELLSB","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:XIBELLSB5RPZ647CSWOOJ3RXD2","target":"record","payload":{"canonical_record":{"source":{"id":"1101.0920","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-05T10:09:12Z","cross_cats_sorted":[],"title_canon_sha256":"11fb6224060915cfca9aa5721ed5f4711c6232c3ce893234933701b99fe9a5d7","abstract_canon_sha256":"7b905218255420c1643f855aea7cf8945f970ca3a5d95024a090c1cc6027001f"},"schema_version":"1.0"},"canonical_sha256":"ba0245ae41ec5f9f73e2959ce4ee371e98fcddee273e42fe56107804d4f56acd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:31.931677Z","signature_b64":"BxFMbZBK5RjRvgDNs4WerwPF7py7sJ9sAPoDwrmCRyiqv607UtXgwGG/euf4Rq1JN16SD+0u13gIMziPjmZ9Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba0245ae41ec5f9f73e2959ce4ee371e98fcddee273e42fe56107804d4f56acd","last_reissued_at":"2026-05-18T03:46:31.930922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:31.930922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1101.0920","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":"2026-05-18T03:46:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNYlzXAYaX0ssE0HI0Me/sWtHyLvYyoV52+D7XpiBr1wbaBoDofZcSLny8ctoaCYIdbH17JQFPJxG0gebZeTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:47:34.028836Z"},"content_sha256":"2731458d087cc9bd17c030336c87c33d33bf621d8424e3703edd374df49ba987","schema_version":"1.0","event_id":"sha256:2731458d087cc9bd17c030336c87c33d33bf621d8424e3703edd374df49ba987"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:XIBELLSB5RPZ647CSWOOJ3RXD2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coisotropic Displacement and Small Subsets of a Symplectic Manifold","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Fabian Ziltener, Jan Swoboda","submitted_at":"2011-01-05T10:09:12Z","abstract_excerpt":"We prove a coisotropic intersection result and deduce the following: 1. Lower bounds on the displacement energy of a subset of a symplectic manifold, in particular a sharp stable energy-Gromov-width inequality. 2. A stable non-squeezing result for neighborhoods of products of unit spheres. 3. Existence of a \"badly squeezable\" set in $\\mathbb{R}^{2n}$ of Hausdorff dimension at most $d$, for every $n\\geq2$ and $d\\geq n$. 4. Existence of a stably exotic symplectic form on $\\mathbb{R}^{2n}$, for every $n\\geq2$. 5. Non-triviality of a new capacity, which is based on the minimal symplectic area of a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0920","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":"2026-05-18T03:46:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZpAD/J/dLB64qvaZUA2MEnEo/tdoOyDqU/s18aHGIIzsBYjb20wiGnG32BPrF+wtw/gUUTtGj564B/QRJ4JiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:47:34.029210Z"},"content_sha256":"92b919b2f578a6d90acc0feb43bb0890b797f7a597bbaf42cb05af6a15a5a1f4","schema_version":"1.0","event_id":"sha256:92b919b2f578a6d90acc0feb43bb0890b797f7a597bbaf42cb05af6a15a5a1f4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XIBELLSB5RPZ647CSWOOJ3RXD2/bundle.json","state_url":"https://pith.science/pith/XIBELLSB5RPZ647CSWOOJ3RXD2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XIBELLSB5RPZ647CSWOOJ3RXD2/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":"2026-05-28T13:47:34Z","links":{"resolver":"https://pith.science/pith/XIBELLSB5RPZ647CSWOOJ3RXD2","bundle":"https://pith.science/pith/XIBELLSB5RPZ647CSWOOJ3RXD2/bundle.json","state":"https://pith.science/pith/XIBELLSB5RPZ647CSWOOJ3RXD2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XIBELLSB5RPZ647CSWOOJ3RXD2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XIBELLSB5RPZ647CSWOOJ3RXD2","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":"7b905218255420c1643f855aea7cf8945f970ca3a5d95024a090c1cc6027001f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-05T10:09:12Z","title_canon_sha256":"11fb6224060915cfca9aa5721ed5f4711c6232c3ce893234933701b99fe9a5d7"},"schema_version":"1.0","source":{"id":"1101.0920","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.0920","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"arxiv_version","alias_value":"1101.0920v2","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.0920","created_at":"2026-05-18T03:46:31Z"},{"alias_kind":"pith_short_12","alias_value":"XIBELLSB5RPZ","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"XIBELLSB5RPZ647C","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"XIBELLSB","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:92b919b2f578a6d90acc0feb43bb0890b797f7a597bbaf42cb05af6a15a5a1f4","target":"graph","created_at":"2026-05-18T03:46:31Z","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 a coisotropic intersection result and deduce the following: 1. Lower bounds on the displacement energy of a subset of a symplectic manifold, in particular a sharp stable energy-Gromov-width inequality. 2. A stable non-squeezing result for neighborhoods of products of unit spheres. 3. Existence of a \"badly squeezable\" set in $\\mathbb{R}^{2n}$ of Hausdorff dimension at most $d$, for every $n\\geq2$ and $d\\geq n$. 4. Existence of a stably exotic symplectic form on $\\mathbb{R}^{2n}$, for every $n\\geq2$. 5. Non-triviality of a new capacity, which is based on the minimal symplectic area of a","authors_text":"Fabian Ziltener, Jan Swoboda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-05T10:09:12Z","title":"Coisotropic Displacement and Small Subsets of a Symplectic Manifold"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.0920","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":"sha256:2731458d087cc9bd17c030336c87c33d33bf621d8424e3703edd374df49ba987","target":"record","created_at":"2026-05-18T03:46:31Z","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":"7b905218255420c1643f855aea7cf8945f970ca3a5d95024a090c1cc6027001f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-01-05T10:09:12Z","title_canon_sha256":"11fb6224060915cfca9aa5721ed5f4711c6232c3ce893234933701b99fe9a5d7"},"schema_version":"1.0","source":{"id":"1101.0920","kind":"arxiv","version":2}},"canonical_sha256":"ba0245ae41ec5f9f73e2959ce4ee371e98fcddee273e42fe56107804d4f56acd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba0245ae41ec5f9f73e2959ce4ee371e98fcddee273e42fe56107804d4f56acd","first_computed_at":"2026-05-18T03:46:31.930922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:31.930922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BxFMbZBK5RjRvgDNs4WerwPF7py7sJ9sAPoDwrmCRyiqv607UtXgwGG/euf4Rq1JN16SD+0u13gIMziPjmZ9Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:31.931677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.0920","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2731458d087cc9bd17c030336c87c33d33bf621d8424e3703edd374df49ba987","sha256:92b919b2f578a6d90acc0feb43bb0890b797f7a597bbaf42cb05af6a15a5a1f4"],"state_sha256":"b5754326892a53d4dc1fd99c99bb12e461b41d9418ecab29ac0df95b7e4296ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vssEcpyzZQuZkU7tJ6piXvm9P7eEhWWI2h8I8iKuN9PVA7muJIcv4TLsJcOcPHSBz4Avn8/Gv4XKf3G0/hD2Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:47:34.031433Z","bundle_sha256":"314c7273f9f3dfb4c79cded857a85d47c094c129137384132c32bb7f4472e60c"}}