{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KUBFYV2Q3K4RN56ZGIVR3TFZLL","short_pith_number":"pith:KUBFYV2Q","canonical_record":{"source":{"id":"1011.5920","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-11-26T21:41:48Z","cross_cats_sorted":[],"title_canon_sha256":"b37e37ef1ac5b67628692ddc22df54cb3a38ea1ca7b4fcf4ddf8990cd12a2702","abstract_canon_sha256":"e0158620ee21590d33534884f358186dfb7d2681db25883fdd619f0bb979a6f6"},"schema_version":"1.0"},"canonical_sha256":"55025c5750dab916f7d9322b1dccb95affaf1651abe6644b54951afb2a009eda","source":{"kind":"arxiv","id":"1011.5920","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5920","created_at":"2026-05-18T04:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5920v1","created_at":"2026-05-18T04:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5920","created_at":"2026-05-18T04:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"KUBFYV2Q3K4R","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KUBFYV2Q3K4RN56Z","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KUBFYV2Q","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KUBFYV2Q3K4RN56ZGIVR3TFZLL","target":"record","payload":{"canonical_record":{"source":{"id":"1011.5920","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-11-26T21:41:48Z","cross_cats_sorted":[],"title_canon_sha256":"b37e37ef1ac5b67628692ddc22df54cb3a38ea1ca7b4fcf4ddf8990cd12a2702","abstract_canon_sha256":"e0158620ee21590d33534884f358186dfb7d2681db25883fdd619f0bb979a6f6"},"schema_version":"1.0"},"canonical_sha256":"55025c5750dab916f7d9322b1dccb95affaf1651abe6644b54951afb2a009eda","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:34:37.909605Z","signature_b64":"Cn/ZnUf506JjTRIgFmb4/P5YG8Ef4/8xvHWk+H+9uKGYyQGnBEs/ofGdpkH17SXRK6n9M4hF83k7H2iv2UTwBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55025c5750dab916f7d9322b1dccb95affaf1651abe6644b54951afb2a009eda","last_reissued_at":"2026-05-18T04:34:37.908856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:34:37.908856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.5920","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":"2026-05-18T04:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CoWKWrS3vKaUyOGjog9ka7bPLVS6V6TNXFG9pk3P5mxYRs0oNt30Q8s4TaG2F0FzHlDwE+7GPUgBDh2AMFCNCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T20:14:15.944415Z"},"content_sha256":"df1f9f888ff37032a4d3650691ad79352e8df5e5c0e74daac12569e758415023","schema_version":"1.0","event_id":"sha256:df1f9f888ff37032a4d3650691ad79352e8df5e5c0e74daac12569e758415023"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KUBFYV2Q3K4RN56ZGIVR3TFZLL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Short Cuts - or - Fencing in Rectangular Strips","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Alfred Bruckstein, Yaniv Altshuler","submitted_at":"2010-11-26T21:41:48Z","abstract_excerpt":"In this paper we consider an isoperimetric inequality for the \"free perimeter\" of a planar shape inside a rectangular domain, the free perimeter being the length of the shape boundary that does not touch the border of the domain."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5920","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":"2026-05-18T04:34:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8IJbZB0BU1DRyVk+rIj308RG1/xytsayHOs+yFuPzRe53jlRkvm3lCoZtQHtkDVrVCV2ZFDELDDx5DA5ggzACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-18T20:14:15.944758Z"},"content_sha256":"545198b7e2e340f6c9a5b0fbfa4ab74cc6660717fa90dcd70ab90a215bf123eb","schema_version":"1.0","event_id":"sha256:545198b7e2e340f6c9a5b0fbfa4ab74cc6660717fa90dcd70ab90a215bf123eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KUBFYV2Q3K4RN56ZGIVR3TFZLL/bundle.json","state_url":"https://pith.science/pith/KUBFYV2Q3K4RN56ZGIVR3TFZLL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KUBFYV2Q3K4RN56ZGIVR3TFZLL/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":"2026-07-18T20:14:15Z","links":{"resolver":"https://pith.science/pith/KUBFYV2Q3K4RN56ZGIVR3TFZLL","bundle":"https://pith.science/pith/KUBFYV2Q3K4RN56ZGIVR3TFZLL/bundle.json","state":"https://pith.science/pith/KUBFYV2Q3K4RN56ZGIVR3TFZLL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KUBFYV2Q3K4RN56ZGIVR3TFZLL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KUBFYV2Q3K4RN56ZGIVR3TFZLL","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":"e0158620ee21590d33534884f358186dfb7d2681db25883fdd619f0bb979a6f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-11-26T21:41:48Z","title_canon_sha256":"b37e37ef1ac5b67628692ddc22df54cb3a38ea1ca7b4fcf4ddf8990cd12a2702"},"schema_version":"1.0","source":{"id":"1011.5920","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.5920","created_at":"2026-05-18T04:34:37Z"},{"alias_kind":"arxiv_version","alias_value":"1011.5920v1","created_at":"2026-05-18T04:34:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.5920","created_at":"2026-05-18T04:34:37Z"},{"alias_kind":"pith_short_12","alias_value":"KUBFYV2Q3K4R","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KUBFYV2Q3K4RN56Z","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KUBFYV2Q","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:545198b7e2e340f6c9a5b0fbfa4ab74cc6660717fa90dcd70ab90a215bf123eb","target":"graph","created_at":"2026-05-18T04:34:37Z","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":"In this paper we consider an isoperimetric inequality for the \"free perimeter\" of a planar shape inside a rectangular domain, the free perimeter being the length of the shape boundary that does not touch the border of the domain.","authors_text":"Alfred Bruckstein, Yaniv Altshuler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-11-26T21:41:48Z","title":"On Short Cuts - or - Fencing in Rectangular Strips"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.5920","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:df1f9f888ff37032a4d3650691ad79352e8df5e5c0e74daac12569e758415023","target":"record","created_at":"2026-05-18T04:34:37Z","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":"e0158620ee21590d33534884f358186dfb7d2681db25883fdd619f0bb979a6f6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2010-11-26T21:41:48Z","title_canon_sha256":"b37e37ef1ac5b67628692ddc22df54cb3a38ea1ca7b4fcf4ddf8990cd12a2702"},"schema_version":"1.0","source":{"id":"1011.5920","kind":"arxiv","version":1}},"canonical_sha256":"55025c5750dab916f7d9322b1dccb95affaf1651abe6644b54951afb2a009eda","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55025c5750dab916f7d9322b1dccb95affaf1651abe6644b54951afb2a009eda","first_computed_at":"2026-05-18T04:34:37.908856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:34:37.908856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Cn/ZnUf506JjTRIgFmb4/P5YG8Ef4/8xvHWk+H+9uKGYyQGnBEs/ofGdpkH17SXRK6n9M4hF83k7H2iv2UTwBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:34:37.909605Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.5920","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df1f9f888ff37032a4d3650691ad79352e8df5e5c0e74daac12569e758415023","sha256:545198b7e2e340f6c9a5b0fbfa4ab74cc6660717fa90dcd70ab90a215bf123eb"],"state_sha256":"838f7d78b4b080d7f15b67fc7da9dee841b606248439769138e4c2370010776f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zpR1eRc+bcCQHPZ7tKfgHv6nnY0cwL1OILTg64ysQitU+2WfV5/SoPY0Va366ZRqhOmixL5aDWcyrtVd26zdAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-18T20:14:15.946791Z","bundle_sha256":"e3fc562d2ae6236a49555d6405f790b5e126adf540c17c7ea15372186a48a82f"}}