{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:X6C6R3K4KRCXH7DXSK4UV2BELO","short_pith_number":"pith:X6C6R3K4","canonical_record":{"source":{"id":"2511.06624","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-10T02:04:07Z","cross_cats_sorted":[],"title_canon_sha256":"a127d03505a854427ca77aee290df43c566058fde07e543dae40ba755446825a","abstract_canon_sha256":"a244f6406eaa0243ea6bb828475c1c0723f0d03bc4c8f1c0569e8ad57b1340ff"},"schema_version":"1.0"},"canonical_sha256":"bf85e8ed5c544573fc7792b94ae8245b955a6d84be8ddd8aae556a4db0d5115f","source":{"kind":"arxiv","id":"2511.06624","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.06624","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"arxiv_version","alias_value":"2511.06624v2","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.06624","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"pith_short_12","alias_value":"X6C6R3K4KRCX","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"pith_short_16","alias_value":"X6C6R3K4KRCXH7DX","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"pith_short_8","alias_value":"X6C6R3K4","created_at":"2026-07-22T00:22:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:X6C6R3K4KRCXH7DXSK4UV2BELO","target":"record","payload":{"canonical_record":{"source":{"id":"2511.06624","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-10T02:04:07Z","cross_cats_sorted":[],"title_canon_sha256":"a127d03505a854427ca77aee290df43c566058fde07e543dae40ba755446825a","abstract_canon_sha256":"a244f6406eaa0243ea6bb828475c1c0723f0d03bc4c8f1c0569e8ad57b1340ff"},"schema_version":"1.0"},"canonical_sha256":"bf85e8ed5c544573fc7792b94ae8245b955a6d84be8ddd8aae556a4db0d5115f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-22T00:22:14.220480Z","signature_b64":"Fy5koMinUqC092qInxNYWGv2plKSgcWYSAPoYQd4mEOdwE7WhC3QZUGrOyLooujic9kDoMt9ZYG4lZE6ZPChCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf85e8ed5c544573fc7792b94ae8245b955a6d84be8ddd8aae556a4db0d5115f","last_reissued_at":"2026-07-22T00:22:14.219569Z","signature_status":"signed_v1","first_computed_at":"2026-07-22T00:22:14.219569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2511.06624","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":"2026-07-22T00:22:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m4hyV78TKXZ4iShQa3SUrPoK9jCZIIPAGKTlqqApPUEsA7QSA4OdUnOZc/1t7xE35nYh4zOf+FyjfE78XvcoAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:09:56.735114Z"},"content_sha256":"e44c35711862f1db7d135f27b358c586363cc3ea11cf5e6bba7eeef9a91b2b87","schema_version":"1.0","event_id":"sha256:e44c35711862f1db7d135f27b358c586363cc3ea11cf5e6bba7eeef9a91b2b87"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:X6C6R3K4KRCXH7DXSK4UV2BELO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"No-signalling-projection-invariant Bell inequalities","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Aaditya Paudel, Jitendra Prakash, Peter Bierhorst, Soumyadip Patra","submitted_at":"2025-11-10T02:04:07Z","abstract_excerpt":"In this paper, we highlight how any Bell inequality for a configuration involving $n$ parties each performing one of $m$ binary-outcome measurements has a canonical form that is no-signalling-projection invariant. Specifically, the $L^2$-projection of weakly signalling data onto the no-signalling polytope leaves the violation of this canonical Bell inequality unchanged. Our methods allow us to derive a general closed formula for the projection and present a substantially more computationally simple procedure for its evaluation. We also show this can be generalised to non-standard projections o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.06624","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/2511.06624/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":"2026-07-22T00:22:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RjM4yQtiqTXezrs1HJhgKCFiOe+6dnevqhr1HlJQhg+/uuIGnvUjQWkebwAhGVfrYeJAMAfABc8l1WQ1AKtNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:09:56.735634Z"},"content_sha256":"cd984f1215d1b93229174f820c8c5b06920d207949effb9b70f162345e12ddde","schema_version":"1.0","event_id":"sha256:cd984f1215d1b93229174f820c8c5b06920d207949effb9b70f162345e12ddde"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6C6R3K4KRCXH7DXSK4UV2BELO/bundle.json","state_url":"https://pith.science/pith/X6C6R3K4KRCXH7DXSK4UV2BELO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6C6R3K4KRCXH7DXSK4UV2BELO/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":"2026-08-06T15:09:56Z","links":{"resolver":"https://pith.science/pith/X6C6R3K4KRCXH7DXSK4UV2BELO","bundle":"https://pith.science/pith/X6C6R3K4KRCXH7DXSK4UV2BELO/bundle.json","state":"https://pith.science/pith/X6C6R3K4KRCXH7DXSK4UV2BELO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6C6R3K4KRCXH7DXSK4UV2BELO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:X6C6R3K4KRCXH7DXSK4UV2BELO","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":"a244f6406eaa0243ea6bb828475c1c0723f0d03bc4c8f1c0569e8ad57b1340ff","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-10T02:04:07Z","title_canon_sha256":"a127d03505a854427ca77aee290df43c566058fde07e543dae40ba755446825a"},"schema_version":"1.0","source":{"id":"2511.06624","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.06624","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"arxiv_version","alias_value":"2511.06624v2","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.06624","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"pith_short_12","alias_value":"X6C6R3K4KRCX","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"pith_short_16","alias_value":"X6C6R3K4KRCXH7DX","created_at":"2026-07-22T00:22:14Z"},{"alias_kind":"pith_short_8","alias_value":"X6C6R3K4","created_at":"2026-07-22T00:22:14Z"}],"graph_snapshots":[{"event_id":"sha256:cd984f1215d1b93229174f820c8c5b06920d207949effb9b70f162345e12ddde","target":"graph","created_at":"2026-07-22T00:22:14Z","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/2511.06624/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we highlight how any Bell inequality for a configuration involving $n$ parties each performing one of $m$ binary-outcome measurements has a canonical form that is no-signalling-projection invariant. Specifically, the $L^2$-projection of weakly signalling data onto the no-signalling polytope leaves the violation of this canonical Bell inequality unchanged. Our methods allow us to derive a general closed formula for the projection and present a substantially more computationally simple procedure for its evaluation. We also show this can be generalised to non-standard projections o","authors_text":"Aaditya Paudel, Jitendra Prakash, Peter Bierhorst, Soumyadip Patra","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-10T02:04:07Z","title":"No-signalling-projection-invariant Bell inequalities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.06624","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:e44c35711862f1db7d135f27b358c586363cc3ea11cf5e6bba7eeef9a91b2b87","target":"record","created_at":"2026-07-22T00:22:14Z","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":"a244f6406eaa0243ea6bb828475c1c0723f0d03bc4c8f1c0569e8ad57b1340ff","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2025-11-10T02:04:07Z","title_canon_sha256":"a127d03505a854427ca77aee290df43c566058fde07e543dae40ba755446825a"},"schema_version":"1.0","source":{"id":"2511.06624","kind":"arxiv","version":2}},"canonical_sha256":"bf85e8ed5c544573fc7792b94ae8245b955a6d84be8ddd8aae556a4db0d5115f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf85e8ed5c544573fc7792b94ae8245b955a6d84be8ddd8aae556a4db0d5115f","first_computed_at":"2026-07-22T00:22:14.219569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-22T00:22:14.219569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fy5koMinUqC092qInxNYWGv2plKSgcWYSAPoYQd4mEOdwE7WhC3QZUGrOyLooujic9kDoMt9ZYG4lZE6ZPChCQ==","signature_status":"signed_v1","signed_at":"2026-07-22T00:22:14.220480Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.06624","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e44c35711862f1db7d135f27b358c586363cc3ea11cf5e6bba7eeef9a91b2b87","sha256:cd984f1215d1b93229174f820c8c5b06920d207949effb9b70f162345e12ddde"],"state_sha256":"385550a44804cbe3990e524866e409f1c3af495b11ba9e463f996cad15f971c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KT/GJeqkL6VcFUqEsm45A6tDEBpZ11utcUcmRlSMzMQ9O4t5rx1XmXzXqMXuK7L49+ubBDvOfRlUA+qVnKgUDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T15:09:56.739620Z","bundle_sha256":"23b403b990860b1b02fda27e2d6cfcfe6b1dbbb669d063c412c02599245ce068"}}