{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:4VCIWP3SUQJN55A7IY3X4BHNBT","short_pith_number":"pith:4VCIWP3S","canonical_record":{"source":{"id":"2601.02009","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-05T11:18:02Z","cross_cats_sorted":[],"title_canon_sha256":"c5e00584bf6c082dd8334648eebab94d0cc4295a397fca5f73d2b0c710e751da","abstract_canon_sha256":"8f7fd81f5f90bf763e0c90f73746f0bffd999a381dc999a4b077287054af791a"},"schema_version":"1.0"},"canonical_sha256":"e5448b3f72a412def41f46377e04ed0cc9f41c038023ee757713e9b0389168d0","source":{"kind":"arxiv","id":"2601.02009","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.02009","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"arxiv_version","alias_value":"2601.02009v3","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.02009","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"pith_short_12","alias_value":"4VCIWP3SUQJN","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"pith_short_16","alias_value":"4VCIWP3SUQJN55A7","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"pith_short_8","alias_value":"4VCIWP3S","created_at":"2026-06-10T01:09:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:4VCIWP3SUQJN55A7IY3X4BHNBT","target":"record","payload":{"canonical_record":{"source":{"id":"2601.02009","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-05T11:18:02Z","cross_cats_sorted":[],"title_canon_sha256":"c5e00584bf6c082dd8334648eebab94d0cc4295a397fca5f73d2b0c710e751da","abstract_canon_sha256":"8f7fd81f5f90bf763e0c90f73746f0bffd999a381dc999a4b077287054af791a"},"schema_version":"1.0"},"canonical_sha256":"e5448b3f72a412def41f46377e04ed0cc9f41c038023ee757713e9b0389168d0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-10T01:09:51.767726Z","signature_b64":"XtGELxsydBWWtgjvoH8haVhaTwFIZeI+S+p09QC5YHXBMeEJELEj0IGA1WbLBsOm7nGx7dRU4exPk6siliYPCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5448b3f72a412def41f46377e04ed0cc9f41c038023ee757713e9b0389168d0","last_reissued_at":"2026-06-10T01:09:51.766921Z","signature_status":"signed_v1","first_computed_at":"2026-06-10T01:09:51.766921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2601.02009","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-10T01:09:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sQwhDm4nWovNuZAYF3L1yONbINNGNZMzP8jE2Hu74F8p0XMtXQtJwPwdC3SQO7s6egyo4ete4J0zTO9fNJWtCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:08:04.288257Z"},"content_sha256":"e989ddd1e45e6a818379bdeeee3cc868899ed006ee49bcfa094e9ffc4a424d5d","schema_version":"1.0","event_id":"sha256:e989ddd1e45e6a818379bdeeee3cc868899ed006ee49bcfa094e9ffc4a424d5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:4VCIWP3SUQJN55A7IY3X4BHNBT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analogs of absolutely maximally entangled states in nonlocal correlations via the sheaf-theoretic framework and its applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Nripendra Majumdar, S. Aravinda","submitted_at":"2026-01-05T11:18:02Z","abstract_excerpt":"The foundational work by Bell led to an interest in understanding non-local correlations that arise from entangled states shared between distinct, spacelike-separated parties, which formed a foundation for the theory of quantum information processing. We investigate the question of maximal correlations analogous to the maximally entangled states defined in the entanglement theory of multipartite systems. In this work, we define the maximality of nonlocal correlation as being analogous to the absolutely maximally entangled state. To formalize this, we employ the sheaf-theoretic framework for co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.02009","kind":"arxiv","version":3},"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/2601.02009/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":"2026-06-10T01:09:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WZNVFX/Qr82gVFaAPtQkhRLJE12Xr93Mpu0Z8aRO0qswJXfOS+Xc5ShEMCXXpmiJrPpoFmP8ljciUQtnvVuvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T04:08:04.288816Z"},"content_sha256":"51244e8d0c574687ccd97a9376abfe291d26d2617beed0207f2d6005c620b28f","schema_version":"1.0","event_id":"sha256:51244e8d0c574687ccd97a9376abfe291d26d2617beed0207f2d6005c620b28f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4VCIWP3SUQJN55A7IY3X4BHNBT/bundle.json","state_url":"https://pith.science/pith/4VCIWP3SUQJN55A7IY3X4BHNBT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4VCIWP3SUQJN55A7IY3X4BHNBT/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":"2026-08-06T04:08:04Z","links":{"resolver":"https://pith.science/pith/4VCIWP3SUQJN55A7IY3X4BHNBT","bundle":"https://pith.science/pith/4VCIWP3SUQJN55A7IY3X4BHNBT/bundle.json","state":"https://pith.science/pith/4VCIWP3SUQJN55A7IY3X4BHNBT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4VCIWP3SUQJN55A7IY3X4BHNBT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:4VCIWP3SUQJN55A7IY3X4BHNBT","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":"8f7fd81f5f90bf763e0c90f73746f0bffd999a381dc999a4b077287054af791a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-05T11:18:02Z","title_canon_sha256":"c5e00584bf6c082dd8334648eebab94d0cc4295a397fca5f73d2b0c710e751da"},"schema_version":"1.0","source":{"id":"2601.02009","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2601.02009","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"arxiv_version","alias_value":"2601.02009v3","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.02009","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"pith_short_12","alias_value":"4VCIWP3SUQJN","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"pith_short_16","alias_value":"4VCIWP3SUQJN55A7","created_at":"2026-06-10T01:09:51Z"},{"alias_kind":"pith_short_8","alias_value":"4VCIWP3S","created_at":"2026-06-10T01:09:51Z"}],"graph_snapshots":[{"event_id":"sha256:51244e8d0c574687ccd97a9376abfe291d26d2617beed0207f2d6005c620b28f","target":"graph","created_at":"2026-06-10T01:09:51Z","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/2601.02009/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The foundational work by Bell led to an interest in understanding non-local correlations that arise from entangled states shared between distinct, spacelike-separated parties, which formed a foundation for the theory of quantum information processing. We investigate the question of maximal correlations analogous to the maximally entangled states defined in the entanglement theory of multipartite systems. In this work, we define the maximality of nonlocal correlation as being analogous to the absolutely maximally entangled state. To formalize this, we employ the sheaf-theoretic framework for co","authors_text":"Nripendra Majumdar, S. Aravinda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-05T11:18:02Z","title":"Analogs of absolutely maximally entangled states in nonlocal correlations via the sheaf-theoretic framework and its applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.02009","kind":"arxiv","version":3},"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:e989ddd1e45e6a818379bdeeee3cc868899ed006ee49bcfa094e9ffc4a424d5d","target":"record","created_at":"2026-06-10T01:09:51Z","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":"8f7fd81f5f90bf763e0c90f73746f0bffd999a381dc999a4b077287054af791a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-01-05T11:18:02Z","title_canon_sha256":"c5e00584bf6c082dd8334648eebab94d0cc4295a397fca5f73d2b0c710e751da"},"schema_version":"1.0","source":{"id":"2601.02009","kind":"arxiv","version":3}},"canonical_sha256":"e5448b3f72a412def41f46377e04ed0cc9f41c038023ee757713e9b0389168d0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5448b3f72a412def41f46377e04ed0cc9f41c038023ee757713e9b0389168d0","first_computed_at":"2026-06-10T01:09:51.766921Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:09:51.766921Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XtGELxsydBWWtgjvoH8haVhaTwFIZeI+S+p09QC5YHXBMeEJELEj0IGA1WbLBsOm7nGx7dRU4exPk6siliYPCQ==","signature_status":"signed_v1","signed_at":"2026-06-10T01:09:51.767726Z","signed_message":"canonical_sha256_bytes"},"source_id":"2601.02009","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e989ddd1e45e6a818379bdeeee3cc868899ed006ee49bcfa094e9ffc4a424d5d","sha256:51244e8d0c574687ccd97a9376abfe291d26d2617beed0207f2d6005c620b28f"],"state_sha256":"675ebe1e14a41458ee06064d03086db6a1835667a098f80d1978f14cfe1969aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ldm5apzwv0wW2CZTzr3JJaEPqKQkPkF3rEWMmXozSks1KIi7lcDkfAUJMbJ1Fnnnjk/l5zhGqe23nzdnK19FDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T04:08:04.294815Z","bundle_sha256":"1d6f14c08ccd0ad5d36fe3d88853033c9523b29e0e642435509dc10598eff50c"}}