{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:HVUHLK3FHWG4NPHKG457TD64JZ","short_pith_number":"pith:HVUHLK3F","canonical_record":{"source":{"id":"2506.05759","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-06-06T05:31:29Z","cross_cats_sorted":["astro-ph.IM","cs.AI","math.DS"],"title_canon_sha256":"b7a731aecc7cea7e842176c5f60a5c40bdc96360f13a2e84fbf1cc4032b8184b","abstract_canon_sha256":"e112a137b1e15e18b7a104a261693de903a48d20846bb2edf67a0bb21e3d64ae"},"schema_version":"1.0"},"canonical_sha256":"3d6875ab653d8dc6bcea373bf98fdc4e54dcbb8c652e25ba4231b78b4c92279e","source":{"kind":"arxiv","id":"2506.05759","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05759","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05759v1","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05759","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"HVUHLK3FHWG4","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"HVUHLK3FHWG4NPHK","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"HVUHLK3F","created_at":"2026-07-05T11:17:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:HVUHLK3FHWG4NPHKG457TD64JZ","target":"record","payload":{"canonical_record":{"source":{"id":"2506.05759","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-06-06T05:31:29Z","cross_cats_sorted":["astro-ph.IM","cs.AI","math.DS"],"title_canon_sha256":"b7a731aecc7cea7e842176c5f60a5c40bdc96360f13a2e84fbf1cc4032b8184b","abstract_canon_sha256":"e112a137b1e15e18b7a104a261693de903a48d20846bb2edf67a0bb21e3d64ae"},"schema_version":"1.0"},"canonical_sha256":"3d6875ab653d8dc6bcea373bf98fdc4e54dcbb8c652e25ba4231b78b4c92279e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:17:09.221545Z","signature_b64":"lIsaaHiyeaHE2TSeKscWrxYNJOG7KsqOp24V4LLc4NtXgbEQd52n6vhvIrQf8iwVOYRTwwXZgNvSmu7wldadCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d6875ab653d8dc6bcea373bf98fdc4e54dcbb8c652e25ba4231b78b4c92279e","last_reissued_at":"2026-07-05T11:17:09.221033Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:17:09.221033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.05759","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":"2026-07-05T11:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RQgcAGVVLQbqYQIpiE9w7crV/AmQwbaFeqcpD7yTCjFZCI8Ym8hNRdWnnVFnGTxNU39v4vdxUl4F5rgJ+36xCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:08:37.212672Z"},"content_sha256":"6742b414a2121e7e3f5426b53a411c6f8254399e9f04e979ece6fe06fc0cfc28","schema_version":"1.0","event_id":"sha256:6742b414a2121e7e3f5426b53a411c6f8254399e9f04e979ece6fe06fc0cfc28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:HVUHLK3FHWG4NPHKG457TD64JZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revealing hidden correlations from complex spatial distributions: Adjacent Correlation Analysis","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.IM","cs.AI","math.DS"],"primary_cat":"physics.comp-ph","authors_text":"Guang-Xing Li","submitted_at":"2025-06-06T05:31:29Z","abstract_excerpt":"Physics has been transforming our view of nature for centuries. While combining physical knowledge with computational approaches has enabled detailed modeling of physical systems' evolution, understanding the emergence of patterns and structures remains limited. Correlations between quantities are the most reliable approach to describe relationships between different variables. However, for complex patterns, directly searching for correlations is often impractical, as complexity and spatial inhomogeneity can obscure correlations. We discovered that the key is to search for correlations in loca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05759","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/2506.05759/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":"2026-07-05T11:17:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ATiv9MXPrVBbLIpnRD/QcDAmP28WpSOMlolPWNwJvWr1qaehKyVE7gc9JyZpHWCd48CvPDO48KyXRZ+BwrcMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:08:37.213254Z"},"content_sha256":"2ac5ef8f758a794c105789f811bd6665c3911b8901df555dee20f8f57d19046c","schema_version":"1.0","event_id":"sha256:2ac5ef8f758a794c105789f811bd6665c3911b8901df555dee20f8f57d19046c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HVUHLK3FHWG4NPHKG457TD64JZ/bundle.json","state_url":"https://pith.science/pith/HVUHLK3FHWG4NPHKG457TD64JZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HVUHLK3FHWG4NPHKG457TD64JZ/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":"2026-08-09T20:08:37Z","links":{"resolver":"https://pith.science/pith/HVUHLK3FHWG4NPHKG457TD64JZ","bundle":"https://pith.science/pith/HVUHLK3FHWG4NPHKG457TD64JZ/bundle.json","state":"https://pith.science/pith/HVUHLK3FHWG4NPHKG457TD64JZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HVUHLK3FHWG4NPHKG457TD64JZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:HVUHLK3FHWG4NPHKG457TD64JZ","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":"e112a137b1e15e18b7a104a261693de903a48d20846bb2edf67a0bb21e3d64ae","cross_cats_sorted":["astro-ph.IM","cs.AI","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-06-06T05:31:29Z","title_canon_sha256":"b7a731aecc7cea7e842176c5f60a5c40bdc96360f13a2e84fbf1cc4032b8184b"},"schema_version":"1.0","source":{"id":"2506.05759","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.05759","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"arxiv_version","alias_value":"2506.05759v1","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.05759","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"pith_short_12","alias_value":"HVUHLK3FHWG4","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"pith_short_16","alias_value":"HVUHLK3FHWG4NPHK","created_at":"2026-07-05T11:17:09Z"},{"alias_kind":"pith_short_8","alias_value":"HVUHLK3F","created_at":"2026-07-05T11:17:09Z"}],"graph_snapshots":[{"event_id":"sha256:2ac5ef8f758a794c105789f811bd6665c3911b8901df555dee20f8f57d19046c","target":"graph","created_at":"2026-07-05T11:17:09Z","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/2506.05759/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Physics has been transforming our view of nature for centuries. While combining physical knowledge with computational approaches has enabled detailed modeling of physical systems' evolution, understanding the emergence of patterns and structures remains limited. Correlations between quantities are the most reliable approach to describe relationships between different variables. However, for complex patterns, directly searching for correlations is often impractical, as complexity and spatial inhomogeneity can obscure correlations. We discovered that the key is to search for correlations in loca","authors_text":"Guang-Xing Li","cross_cats":["astro-ph.IM","cs.AI","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-06-06T05:31:29Z","title":"Revealing hidden correlations from complex spatial distributions: Adjacent Correlation Analysis"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.05759","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":"sha256:6742b414a2121e7e3f5426b53a411c6f8254399e9f04e979ece6fe06fc0cfc28","target":"record","created_at":"2026-07-05T11:17:09Z","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":"e112a137b1e15e18b7a104a261693de903a48d20846bb2edf67a0bb21e3d64ae","cross_cats_sorted":["astro-ph.IM","cs.AI","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.comp-ph","submitted_at":"2025-06-06T05:31:29Z","title_canon_sha256":"b7a731aecc7cea7e842176c5f60a5c40bdc96360f13a2e84fbf1cc4032b8184b"},"schema_version":"1.0","source":{"id":"2506.05759","kind":"arxiv","version":1}},"canonical_sha256":"3d6875ab653d8dc6bcea373bf98fdc4e54dcbb8c652e25ba4231b78b4c92279e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d6875ab653d8dc6bcea373bf98fdc4e54dcbb8c652e25ba4231b78b4c92279e","first_computed_at":"2026-07-05T11:17:09.221033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:17:09.221033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lIsaaHiyeaHE2TSeKscWrxYNJOG7KsqOp24V4LLc4NtXgbEQd52n6vhvIrQf8iwVOYRTwwXZgNvSmu7wldadCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:17:09.221545Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.05759","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6742b414a2121e7e3f5426b53a411c6f8254399e9f04e979ece6fe06fc0cfc28","sha256:2ac5ef8f758a794c105789f811bd6665c3911b8901df555dee20f8f57d19046c"],"state_sha256":"f6f642b2348a6f38879f9a16cdb4fd5d812298e6b4db27623548664a999a0505"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N19gAl0Y/FHjveMgk5p3tm7jVejAcAb4qhk9feuwQdtS0s0znFwuDzNFsbAwLN9gkOWa1V7Yr/TaGoSZKRPrCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:08:37.220031Z","bundle_sha256":"f6a17f6e421ec17ccbc6b155198736c3ea0ae65dd92b2b02fef5bbfe0904b115"}}