{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:F4J47K6BWK5IGIOFA57ADN4JNI","short_pith_number":"pith:F4J47K6B","canonical_record":{"source":{"id":"1712.08423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-22T12:50:49Z","cross_cats_sorted":[],"title_canon_sha256":"8cbf95ab3ed061cb90a103e009853cd28b2676d3983e6e8a52b8b26ba47af782","abstract_canon_sha256":"16d2276eb9ab0a21fed64ed6218f184ae2a45319cc70f230ccd3b307247d1050"},"schema_version":"1.0"},"canonical_sha256":"2f13cfabc1b2ba8321c5077e01b7896a0b2117cc6bf6481402f83a0d0fa30998","source":{"kind":"arxiv","id":"1712.08423","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.08423","created_at":"2026-05-18T00:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1712.08423v2","created_at":"2026-05-18T00:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08423","created_at":"2026-05-18T00:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"F4J47K6BWK5I","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F4J47K6BWK5IGIOF","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F4J47K6B","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:F4J47K6BWK5IGIOFA57ADN4JNI","target":"record","payload":{"canonical_record":{"source":{"id":"1712.08423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-22T12:50:49Z","cross_cats_sorted":[],"title_canon_sha256":"8cbf95ab3ed061cb90a103e009853cd28b2676d3983e6e8a52b8b26ba47af782","abstract_canon_sha256":"16d2276eb9ab0a21fed64ed6218f184ae2a45319cc70f230ccd3b307247d1050"},"schema_version":"1.0"},"canonical_sha256":"2f13cfabc1b2ba8321c5077e01b7896a0b2117cc6bf6481402f83a0d0fa30998","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:37.778466Z","signature_b64":"x4o3bjKCZ6Dk+swSBXTqU40wdT4UoskKEdgfA7XPD3m49vuevCNrE7X/DMikZYDUX8nqORtWmr37CdropSJ3Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f13cfabc1b2ba8321c5077e01b7896a0b2117cc6bf6481402f83a0d0fa30998","last_reissued_at":"2026-05-18T00:20:37.777836Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:37.777836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1712.08423","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":"2026-05-18T00:20:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l68khiUEOEpI2xAiziSBD6yr7C8GzQ2IBO0XEY9gKscVd2PLHoGhH5RC6rHEL+IcewmH6kZqex/207l3C7WfCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:32:31.261686Z"},"content_sha256":"cdccca6eca9e2632058b53691cf428825af408a1dc16b06d588e3df14801cede","schema_version":"1.0","event_id":"sha256:cdccca6eca9e2632058b53691cf428825af408a1dc16b06d588e3df14801cede"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:F4J47K6BWK5IGIOFA57ADN4JNI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entanglement sharing via qudit channels: Nonmaximally entangled states may be necessary for one-shot optimal singlet fraction and negativity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Rajarshi Pal, Somshubhro Bandyopadhyay","submitted_at":"2017-12-22T12:50:49Z","abstract_excerpt":"We consider the problem of establishing entangled states of optimal singlet fraction and negativity between two remote parties for every use of a noisy quantum channel and trace-preserving LOCC under the assumption that the parties do not share prior correlations. We show that for a family of quantum channels in every finite dimension $d\\geq3$, one-shot optimal singlet fraction and entanglement negativity are attained only with appropriate nonmaximally entangled states. We further show that the generalization of the formula that exactly computes one-shot optimal singlet fraction for qubit chan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08423","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":"2026-05-18T00:20:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QUFE8A/j0UK2MXhZ0ysDZyEF9zBuMG2sfOJvZ6d6SmmIu9LmajbplIASDy1jpVHwiMhfSWxT/7cjlT+85+IFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:32:31.262304Z"},"content_sha256":"be398ba0f4d4f7ee9574d811fb5d80b39b29904ca9ff59c0842930b8602405e6","schema_version":"1.0","event_id":"sha256:be398ba0f4d4f7ee9574d811fb5d80b39b29904ca9ff59c0842930b8602405e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/bundle.json","state_url":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F4J47K6BWK5IGIOFA57ADN4JNI/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":"2026-05-22T17:32:31Z","links":{"resolver":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI","bundle":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/bundle.json","state":"https://pith.science/pith/F4J47K6BWK5IGIOFA57ADN4JNI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F4J47K6BWK5IGIOFA57ADN4JNI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F4J47K6BWK5IGIOFA57ADN4JNI","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":"16d2276eb9ab0a21fed64ed6218f184ae2a45319cc70f230ccd3b307247d1050","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-22T12:50:49Z","title_canon_sha256":"8cbf95ab3ed061cb90a103e009853cd28b2676d3983e6e8a52b8b26ba47af782"},"schema_version":"1.0","source":{"id":"1712.08423","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.08423","created_at":"2026-05-18T00:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"1712.08423v2","created_at":"2026-05-18T00:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.08423","created_at":"2026-05-18T00:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"F4J47K6BWK5I","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F4J47K6BWK5IGIOF","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F4J47K6B","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:be398ba0f4d4f7ee9574d811fb5d80b39b29904ca9ff59c0842930b8602405e6","target":"graph","created_at":"2026-05-18T00:20:37Z","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":"We consider the problem of establishing entangled states of optimal singlet fraction and negativity between two remote parties for every use of a noisy quantum channel and trace-preserving LOCC under the assumption that the parties do not share prior correlations. We show that for a family of quantum channels in every finite dimension $d\\geq3$, one-shot optimal singlet fraction and entanglement negativity are attained only with appropriate nonmaximally entangled states. We further show that the generalization of the formula that exactly computes one-shot optimal singlet fraction for qubit chan","authors_text":"Rajarshi Pal, Somshubhro Bandyopadhyay","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-22T12:50:49Z","title":"Entanglement sharing via qudit channels: Nonmaximally entangled states may be necessary for one-shot optimal singlet fraction and negativity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.08423","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:cdccca6eca9e2632058b53691cf428825af408a1dc16b06d588e3df14801cede","target":"record","created_at":"2026-05-18T00:20:37Z","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":"16d2276eb9ab0a21fed64ed6218f184ae2a45319cc70f230ccd3b307247d1050","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-12-22T12:50:49Z","title_canon_sha256":"8cbf95ab3ed061cb90a103e009853cd28b2676d3983e6e8a52b8b26ba47af782"},"schema_version":"1.0","source":{"id":"1712.08423","kind":"arxiv","version":2}},"canonical_sha256":"2f13cfabc1b2ba8321c5077e01b7896a0b2117cc6bf6481402f83a0d0fa30998","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f13cfabc1b2ba8321c5077e01b7896a0b2117cc6bf6481402f83a0d0fa30998","first_computed_at":"2026-05-18T00:20:37.777836Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:37.777836Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"x4o3bjKCZ6Dk+swSBXTqU40wdT4UoskKEdgfA7XPD3m49vuevCNrE7X/DMikZYDUX8nqORtWmr37CdropSJ3Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:37.778466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.08423","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cdccca6eca9e2632058b53691cf428825af408a1dc16b06d588e3df14801cede","sha256:be398ba0f4d4f7ee9574d811fb5d80b39b29904ca9ff59c0842930b8602405e6"],"state_sha256":"a5c042897acc456790ad6922adb53d6654e6e89afd2810ffb50b3fd4f498e387"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i2MkymHk7dUEDc5/NY3Tg81Aiy1wReekmoype97e/KPs6akn2YeYhXAuBid+ljczcz8ysQKYp8S97SKEfGy4Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T17:32:31.265481Z","bundle_sha256":"48abdbb0f36b17d900e2fd4688c83ef1fe9f17e746ce03391540c32bd9937d0a"}}