{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:EOGAZAOK3OHEXHN7URKYVFM5NT","short_pith_number":"pith:EOGAZAOK","canonical_record":{"source":{"id":"1104.3936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-20T04:20:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"b34f2c4f2972d32751a6429f489920559c89aea7946580d9e50e4785521d52b5","abstract_canon_sha256":"595ecd28d913fc55989cf949cbc16672f8ea966198206713d3f123d2e2a73109"},"schema_version":"1.0"},"canonical_sha256":"238c0c81cadb8e4b9dbfa4558a959d6cea0b5764fa04b6e478f713bf7467d0e4","source":{"kind":"arxiv","id":"1104.3936","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3936","created_at":"2026-05-18T02:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3936v1","created_at":"2026-05-18T02:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3936","created_at":"2026-05-18T02:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"EOGAZAOK3OHE","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EOGAZAOK3OHEXHN7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EOGAZAOK","created_at":"2026-05-18T12:26:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:EOGAZAOK3OHEXHN7URKYVFM5NT","target":"record","payload":{"canonical_record":{"source":{"id":"1104.3936","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-20T04:20:15Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"b34f2c4f2972d32751a6429f489920559c89aea7946580d9e50e4785521d52b5","abstract_canon_sha256":"595ecd28d913fc55989cf949cbc16672f8ea966198206713d3f123d2e2a73109"},"schema_version":"1.0"},"canonical_sha256":"238c0c81cadb8e4b9dbfa4558a959d6cea0b5764fa04b6e478f713bf7467d0e4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:02:22.273890Z","signature_b64":"3ZKrL8WFtLiTkpdO9cY2gWOPAaiSfsrMRmCXM/D4BZ61r7f+FGt9zK9jJb/5ehjvrBTdpW/ckvqCZJPUQCDZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"238c0c81cadb8e4b9dbfa4558a959d6cea0b5764fa04b6e478f713bf7467d0e4","last_reissued_at":"2026-05-18T02:02:22.272709Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:02:22.272709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.3936","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:02:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oYy8sEBRjyEPBBBaVAEo6LaYmx1H8fGpSeUDW9uFG+7I7M1qjV3PCJtGEONtIUF/gqV47QPWrbFP4/Kh6FpsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:35:31.036220Z"},"content_sha256":"afbee41eb141ecff863d3c8586e23b1f8d3481699738b06065224415c9b9f79c","schema_version":"1.0","event_id":"sha256:afbee41eb141ecff863d3c8586e23b1f8d3481699738b06065224415c9b9f79c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:EOGAZAOK3OHEXHN7URKYVFM5NT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Habib Ammari, Hyeonbae Kang, Hyundae Lee, Mikyoung Lim","submitted_at":"2011-04-20T04:20:15Z","abstract_excerpt":"The aim of this paper is to provide an original method of constructing very effective near-cloaking structures for the conductivity problem. These new structures are such that their first Generalized Polarization Tensors vanish. We show that this in particular significantly enhances the cloaking effect. We then present some numerical examples of Generalized Polarization Tensors vanishing structures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3936","kind":"arxiv","version":1},"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":"2026-05-18T02:02:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XN+eN6xLRMkuhWkJvMN/LsadzpVX5pfqWXKSvEW9NNWqOO+ZDTAasCXAN33KZiSDyY3Y3EkR6KUqjsIFDpfbDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T18:35:31.036892Z"},"content_sha256":"ec2abe8c58c7e999435edc3b1ed0a905f065d6c4c2a857ecfce239419a5e748f","schema_version":"1.0","event_id":"sha256:ec2abe8c58c7e999435edc3b1ed0a905f065d6c4c2a857ecfce239419a5e748f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EOGAZAOK3OHEXHN7URKYVFM5NT/bundle.json","state_url":"https://pith.science/pith/EOGAZAOK3OHEXHN7URKYVFM5NT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EOGAZAOK3OHEXHN7URKYVFM5NT/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":"2026-05-27T18:35:31Z","links":{"resolver":"https://pith.science/pith/EOGAZAOK3OHEXHN7URKYVFM5NT","bundle":"https://pith.science/pith/EOGAZAOK3OHEXHN7URKYVFM5NT/bundle.json","state":"https://pith.science/pith/EOGAZAOK3OHEXHN7URKYVFM5NT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EOGAZAOK3OHEXHN7URKYVFM5NT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EOGAZAOK3OHEXHN7URKYVFM5NT","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":"595ecd28d913fc55989cf949cbc16672f8ea966198206713d3f123d2e2a73109","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-20T04:20:15Z","title_canon_sha256":"b34f2c4f2972d32751a6429f489920559c89aea7946580d9e50e4785521d52b5"},"schema_version":"1.0","source":{"id":"1104.3936","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.3936","created_at":"2026-05-18T02:02:22Z"},{"alias_kind":"arxiv_version","alias_value":"1104.3936v1","created_at":"2026-05-18T02:02:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.3936","created_at":"2026-05-18T02:02:22Z"},{"alias_kind":"pith_short_12","alias_value":"EOGAZAOK3OHE","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EOGAZAOK3OHEXHN7","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EOGAZAOK","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:ec2abe8c58c7e999435edc3b1ed0a905f065d6c4c2a857ecfce239419a5e748f","target":"graph","created_at":"2026-05-18T02:02:22Z","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":"The aim of this paper is to provide an original method of constructing very effective near-cloaking structures for the conductivity problem. These new structures are such that their first Generalized Polarization Tensors vanish. We show that this in particular significantly enhances the cloaking effect. We then present some numerical examples of Generalized Polarization Tensors vanishing structures.","authors_text":"Habib Ammari, Hyeonbae Kang, Hyundae Lee, Mikyoung Lim","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-20T04:20:15Z","title":"Enhancement of Near Cloaking Using Generalized Polarization Tensors Vanishing Structures. Part I: The Conductivity Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.3936","kind":"arxiv","version":1},"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:afbee41eb141ecff863d3c8586e23b1f8d3481699738b06065224415c9b9f79c","target":"record","created_at":"2026-05-18T02:02:22Z","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":"595ecd28d913fc55989cf949cbc16672f8ea966198206713d3f123d2e2a73109","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-04-20T04:20:15Z","title_canon_sha256":"b34f2c4f2972d32751a6429f489920559c89aea7946580d9e50e4785521d52b5"},"schema_version":"1.0","source":{"id":"1104.3936","kind":"arxiv","version":1}},"canonical_sha256":"238c0c81cadb8e4b9dbfa4558a959d6cea0b5764fa04b6e478f713bf7467d0e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"238c0c81cadb8e4b9dbfa4558a959d6cea0b5764fa04b6e478f713bf7467d0e4","first_computed_at":"2026-05-18T02:02:22.272709Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:02:22.272709Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3ZKrL8WFtLiTkpdO9cY2gWOPAaiSfsrMRmCXM/D4BZ61r7f+FGt9zK9jJb/5ehjvrBTdpW/ckvqCZJPUQCDZAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:02:22.273890Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.3936","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:afbee41eb141ecff863d3c8586e23b1f8d3481699738b06065224415c9b9f79c","sha256:ec2abe8c58c7e999435edc3b1ed0a905f065d6c4c2a857ecfce239419a5e748f"],"state_sha256":"b284b64489290c8efca5000c19d01810f3d1632f57aabe05234063e348dfffc5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eQ1S/kiFpmxwGDwyMmfsDrbEp+eU+089RCXYShUp4uoTLtQ1VIS/GqbGUgfDBUgH9AoFW7I5P+nC+oYpAjUECQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T18:35:31.039059Z","bundle_sha256":"c312e608c40988ce96baaa837a4731f2aa528ebb3efff5128d9e51e47db669cb"}}