{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:HJETZJJND35XO6AXANJS65NL4W","short_pith_number":"pith:HJETZJJN","canonical_record":{"source":{"id":"2304.07561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-04-15T13:45:01Z","cross_cats_sorted":["math.IT","quant-ph"],"title_canon_sha256":"824543d6bf77d709ac805d54a032c76cbe7f3f970929ba0f5c167c55a888b240","abstract_canon_sha256":"1cc135dee74d839ee728a38dec8019beaf90a852e17302f62b72197552a7cbcf"},"schema_version":"1.0"},"canonical_sha256":"3a493ca52d1efb77781703532f75abe5bd06b20de336471b4e65d123be6ae8ac","source":{"kind":"arxiv","id":"2304.07561","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.07561","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"arxiv_version","alias_value":"2304.07561v2","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.07561","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"pith_short_12","alias_value":"HJETZJJND35X","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"pith_short_16","alias_value":"HJETZJJND35XO6AX","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"pith_short_8","alias_value":"HJETZJJN","created_at":"2026-07-05T06:24:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:HJETZJJND35XO6AXANJS65NL4W","target":"record","payload":{"canonical_record":{"source":{"id":"2304.07561","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-04-15T13:45:01Z","cross_cats_sorted":["math.IT","quant-ph"],"title_canon_sha256":"824543d6bf77d709ac805d54a032c76cbe7f3f970929ba0f5c167c55a888b240","abstract_canon_sha256":"1cc135dee74d839ee728a38dec8019beaf90a852e17302f62b72197552a7cbcf"},"schema_version":"1.0"},"canonical_sha256":"3a493ca52d1efb77781703532f75abe5bd06b20de336471b4e65d123be6ae8ac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:24:12.032452Z","signature_b64":"nofFz0xCZnu1TZ4yXItpk8N1rZTAmDoGLroAEp12l1Fw/9r6QWuqe6j53sRUL3juTG0RyusD3DGuJVG0NLNhDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a493ca52d1efb77781703532f75abe5bd06b20de336471b4e65d123be6ae8ac","last_reissued_at":"2026-07-05T06:24:12.031989Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:24:12.031989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.07561","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":"2026-07-05T06:24:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Src5js/PhiILFcPepDd1Zd/RVI1o+nl2q8HNYrd/F7WetRWCe5oDxfz2YcEnxSEMFcAegsd7Bjtnkz6jlcABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:26:48.370443Z"},"content_sha256":"9e6ac6fcc8bc70977442d2fbd4933ac075bfcd2c98cb82ff972d81437c8c0374","schema_version":"1.0","event_id":"sha256:9e6ac6fcc8bc70977442d2fbd4933ac075bfcd2c98cb82ff972d81437c8c0374"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:HJETZJJND35XO6AXANJS65NL4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$N$-Sum Box: An Abstraction for Linear Computation over Many-to-one Quantum Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT","quant-ph"],"primary_cat":"cs.IT","authors_text":"Camilla Hollanti, Matteo Allaix, Syed Jafar, Tefjol Pllaha, Yuhang Yao, Yuxiang Lu","submitted_at":"2023-04-15T13:45:01Z","abstract_excerpt":"Linear computations over quantum many-to-one communication networks offer opportunities for communication cost improvements through schemes that exploit quantum entanglement among transmitters to achieve superdense coding gains, combined with classical techniques such as interference alignment. The problem becomes much more broadly accessible if suitable abstractions can be found for the underlying quantum functionality via classical black box models. This work formalizes such an abstraction in the form of an \"$N$-sum box\", a black box generalization of a two-sum protocol of Song \\emph{et al.}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.07561","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2304.07561/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:24:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BJ7YBwkNEnYjdoQk8NVwMWd6FDDdmbEiwVGgEZSwJUWp8LrPzAVnjGDBTVt7+VXWANKTUidzyI0QmJ5PkSJfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T20:26:48.370813Z"},"content_sha256":"4f1472e3b7390d4d189b24bacd636cb4cdc1ed18a4a832417621c15ac51a7c56","schema_version":"1.0","event_id":"sha256:4f1472e3b7390d4d189b24bacd636cb4cdc1ed18a4a832417621c15ac51a7c56"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HJETZJJND35XO6AXANJS65NL4W/bundle.json","state_url":"https://pith.science/pith/HJETZJJND35XO6AXANJS65NL4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HJETZJJND35XO6AXANJS65NL4W/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":"2026-07-06T20:26:48Z","links":{"resolver":"https://pith.science/pith/HJETZJJND35XO6AXANJS65NL4W","bundle":"https://pith.science/pith/HJETZJJND35XO6AXANJS65NL4W/bundle.json","state":"https://pith.science/pith/HJETZJJND35XO6AXANJS65NL4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HJETZJJND35XO6AXANJS65NL4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:HJETZJJND35XO6AXANJS65NL4W","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":"1cc135dee74d839ee728a38dec8019beaf90a852e17302f62b72197552a7cbcf","cross_cats_sorted":["math.IT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-04-15T13:45:01Z","title_canon_sha256":"824543d6bf77d709ac805d54a032c76cbe7f3f970929ba0f5c167c55a888b240"},"schema_version":"1.0","source":{"id":"2304.07561","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.07561","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"arxiv_version","alias_value":"2304.07561v2","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.07561","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"pith_short_12","alias_value":"HJETZJJND35X","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"pith_short_16","alias_value":"HJETZJJND35XO6AX","created_at":"2026-07-05T06:24:12Z"},{"alias_kind":"pith_short_8","alias_value":"HJETZJJN","created_at":"2026-07-05T06:24:12Z"}],"graph_snapshots":[{"event_id":"sha256:4f1472e3b7390d4d189b24bacd636cb4cdc1ed18a4a832417621c15ac51a7c56","target":"graph","created_at":"2026-07-05T06:24:12Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2304.07561/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Linear computations over quantum many-to-one communication networks offer opportunities for communication cost improvements through schemes that exploit quantum entanglement among transmitters to achieve superdense coding gains, combined with classical techniques such as interference alignment. The problem becomes much more broadly accessible if suitable abstractions can be found for the underlying quantum functionality via classical black box models. This work formalizes such an abstraction in the form of an \"$N$-sum box\", a black box generalization of a two-sum protocol of Song \\emph{et al.}","authors_text":"Camilla Hollanti, Matteo Allaix, Syed Jafar, Tefjol Pllaha, Yuhang Yao, Yuxiang Lu","cross_cats":["math.IT","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-04-15T13:45:01Z","title":"$N$-Sum Box: An Abstraction for Linear Computation over Many-to-one Quantum Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.07561","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":"sha256:9e6ac6fcc8bc70977442d2fbd4933ac075bfcd2c98cb82ff972d81437c8c0374","target":"record","created_at":"2026-07-05T06:24:12Z","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":"1cc135dee74d839ee728a38dec8019beaf90a852e17302f62b72197552a7cbcf","cross_cats_sorted":["math.IT","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2023-04-15T13:45:01Z","title_canon_sha256":"824543d6bf77d709ac805d54a032c76cbe7f3f970929ba0f5c167c55a888b240"},"schema_version":"1.0","source":{"id":"2304.07561","kind":"arxiv","version":2}},"canonical_sha256":"3a493ca52d1efb77781703532f75abe5bd06b20de336471b4e65d123be6ae8ac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a493ca52d1efb77781703532f75abe5bd06b20de336471b4e65d123be6ae8ac","first_computed_at":"2026-07-05T06:24:12.031989Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:24:12.031989Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nofFz0xCZnu1TZ4yXItpk8N1rZTAmDoGLroAEp12l1Fw/9r6QWuqe6j53sRUL3juTG0RyusD3DGuJVG0NLNhDA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:24:12.032452Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.07561","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e6ac6fcc8bc70977442d2fbd4933ac075bfcd2c98cb82ff972d81437c8c0374","sha256:4f1472e3b7390d4d189b24bacd636cb4cdc1ed18a4a832417621c15ac51a7c56"],"state_sha256":"9d0c437b273f5a896f614d7120aa9debe30b8d7cdd2b1870682aa8e31bda3da1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZhBi1n1BYQI0v2K8sEg+Z+94ORawexHJ4+0xEDEdt0nrWDjAPOiiZNejoc/mmjSmhraPM8ONCWCXoB2iAmWgAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T20:26:48.372858Z","bundle_sha256":"36b2b28bcd0cd883064d1d71f14fcb3737e2d18e75edb08ee54f5dc77f871ef1"}}