{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WDZX4R362RM6UIJ636LUJSTJCT","short_pith_number":"pith:WDZX4R36","canonical_record":{"source":{"id":"2505.24010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-29T21:14:55Z","cross_cats_sorted":["math.AT","math.CT"],"title_canon_sha256":"8efc8e95c26d8949f9b6f6439bfdc7c02a73c1f4a59c86b88efb0ea77b29cdde","abstract_canon_sha256":"fd7804d75e5c7b126f8c5274a91405e549b2c9bf19d8c4f87cc854b90cd5c1c7"},"schema_version":"1.0"},"canonical_sha256":"b0f37e477ed459ea213edf9744ca6914f44034278ddf81e66be9e882e7192597","source":{"kind":"arxiv","id":"2505.24010","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24010","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24010v1","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24010","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"WDZX4R362RM6","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"pith_short_16","alias_value":"WDZX4R362RM6UIJ6","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"pith_short_8","alias_value":"WDZX4R36","created_at":"2026-07-05T11:12:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WDZX4R362RM6UIJ636LUJSTJCT","target":"record","payload":{"canonical_record":{"source":{"id":"2505.24010","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-29T21:14:55Z","cross_cats_sorted":["math.AT","math.CT"],"title_canon_sha256":"8efc8e95c26d8949f9b6f6439bfdc7c02a73c1f4a59c86b88efb0ea77b29cdde","abstract_canon_sha256":"fd7804d75e5c7b126f8c5274a91405e549b2c9bf19d8c4f87cc854b90cd5c1c7"},"schema_version":"1.0"},"canonical_sha256":"b0f37e477ed459ea213edf9744ca6914f44034278ddf81e66be9e882e7192597","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:12:40.096486Z","signature_b64":"k+DNBbXVliV1SGSzxx7GFUCY9PG9WjDUsJ6KtWsatcC1m3Bgk1g/D0CdqkX2V/lhej5JbaSVuVW1L4kDlTk0Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0f37e477ed459ea213edf9744ca6914f44034278ddf81e66be9e882e7192597","last_reissued_at":"2026-07-05T11:12:40.095530Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:12:40.095530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.24010","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":"2026-07-05T11:12:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LZejJaGis1U8slej6eP83abDaAFBDgnflWTHLfKWWuvN6Tx+bWKTm4YQ3yiZXLH0d9s+CR5mJJllXlnqqdkOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T01:23:58.673073Z"},"content_sha256":"b1d1c801a3c32daf2bc9e2eba42281bbf7b05886a1d0514a0501467786d0d34c","schema_version":"1.0","event_id":"sha256:b1d1c801a3c32daf2bc9e2eba42281bbf7b05886a1d0514a0501467786d0d34c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WDZX4R362RM6UIJ636LUJSTJCT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simplicial methods in the resource theory of contextuality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.CT"],"primary_cat":"quant-ph","authors_text":"Aziz Kharoof, Cihan Okay","submitted_at":"2025-05-29T21:14:55Z","abstract_excerpt":"We develop a resource theory of contextuality within the framework of symmetric monoidal categories, extending recent simplicial approaches to quantum contextuality. Building on the theory of simplicial distributions, which integrates homotopy-theoretic structures with probability, we introduce event scenarios as a functorial generalization of presheaf-theoretic measurement scenarios and prove their equivalence to bundle scenarios via the Grothendieck construction. We define symmetric monoidal structures on these categories and extend the distribution functor to a stochastic setting, yielding "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24010","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.24010/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":"2026-07-05T11:12:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q/IIjKJaNvdGW9f7i+bk8qcC13DQ2MBajvK9Wwtyyc17WTVQOstWhNafJiFnt6rw2iwUPKvlgxtne1G7yjEDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T01:23:58.673615Z"},"content_sha256":"d9c7fecd08914122b016dee2748c4684265dd12d29f148a0fba55e5c73489acf","schema_version":"1.0","event_id":"sha256:d9c7fecd08914122b016dee2748c4684265dd12d29f148a0fba55e5c73489acf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WDZX4R362RM6UIJ636LUJSTJCT/bundle.json","state_url":"https://pith.science/pith/WDZX4R362RM6UIJ636LUJSTJCT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WDZX4R362RM6UIJ636LUJSTJCT/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":"2026-08-08T01:23:58Z","links":{"resolver":"https://pith.science/pith/WDZX4R362RM6UIJ636LUJSTJCT","bundle":"https://pith.science/pith/WDZX4R362RM6UIJ636LUJSTJCT/bundle.json","state":"https://pith.science/pith/WDZX4R362RM6UIJ636LUJSTJCT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WDZX4R362RM6UIJ636LUJSTJCT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WDZX4R362RM6UIJ636LUJSTJCT","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":"fd7804d75e5c7b126f8c5274a91405e549b2c9bf19d8c4f87cc854b90cd5c1c7","cross_cats_sorted":["math.AT","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-29T21:14:55Z","title_canon_sha256":"8efc8e95c26d8949f9b6f6439bfdc7c02a73c1f4a59c86b88efb0ea77b29cdde"},"schema_version":"1.0","source":{"id":"2505.24010","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.24010","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"arxiv_version","alias_value":"2505.24010v1","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.24010","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"pith_short_12","alias_value":"WDZX4R362RM6","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"pith_short_16","alias_value":"WDZX4R362RM6UIJ6","created_at":"2026-07-05T11:12:40Z"},{"alias_kind":"pith_short_8","alias_value":"WDZX4R36","created_at":"2026-07-05T11:12:40Z"}],"graph_snapshots":[{"event_id":"sha256:d9c7fecd08914122b016dee2748c4684265dd12d29f148a0fba55e5c73489acf","target":"graph","created_at":"2026-07-05T11:12:40Z","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/2505.24010/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a resource theory of contextuality within the framework of symmetric monoidal categories, extending recent simplicial approaches to quantum contextuality. Building on the theory of simplicial distributions, which integrates homotopy-theoretic structures with probability, we introduce event scenarios as a functorial generalization of presheaf-theoretic measurement scenarios and prove their equivalence to bundle scenarios via the Grothendieck construction. We define symmetric monoidal structures on these categories and extend the distribution functor to a stochastic setting, yielding ","authors_text":"Aziz Kharoof, Cihan Okay","cross_cats":["math.AT","math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-29T21:14:55Z","title":"Simplicial methods in the resource theory of contextuality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.24010","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:b1d1c801a3c32daf2bc9e2eba42281bbf7b05886a1d0514a0501467786d0d34c","target":"record","created_at":"2026-07-05T11:12:40Z","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":"fd7804d75e5c7b126f8c5274a91405e549b2c9bf19d8c4f87cc854b90cd5c1c7","cross_cats_sorted":["math.AT","math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2025-05-29T21:14:55Z","title_canon_sha256":"8efc8e95c26d8949f9b6f6439bfdc7c02a73c1f4a59c86b88efb0ea77b29cdde"},"schema_version":"1.0","source":{"id":"2505.24010","kind":"arxiv","version":1}},"canonical_sha256":"b0f37e477ed459ea213edf9744ca6914f44034278ddf81e66be9e882e7192597","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0f37e477ed459ea213edf9744ca6914f44034278ddf81e66be9e882e7192597","first_computed_at":"2026-07-05T11:12:40.095530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:12:40.095530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k+DNBbXVliV1SGSzxx7GFUCY9PG9WjDUsJ6KtWsatcC1m3Bgk1g/D0CdqkX2V/lhej5JbaSVuVW1L4kDlTk0Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:12:40.096486Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.24010","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1d1c801a3c32daf2bc9e2eba42281bbf7b05886a1d0514a0501467786d0d34c","sha256:d9c7fecd08914122b016dee2748c4684265dd12d29f148a0fba55e5c73489acf"],"state_sha256":"575c2e48cd91b10456c880140881ebda82c05028bea4e8c67930c8696ff57c7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hl8wsfuXKdmade+jOiRatL0AJq35hKwjqYFvtt7zBYEuhFTL56BrClVuC81GkKXmgLMWsR8mtUX1xAUM0i1mAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T01:23:58.678836Z","bundle_sha256":"d3ad47e7ffa88279fb668c05ccd756ab4c39959ec177bd849b168b007be65b7b"}}