{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2BVPZOFCDEE6GBZF2PZZUYVCBQ","short_pith_number":"pith:2BVPZOFC","canonical_record":{"source":{"id":"2605.20454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-05-19T20:06:54Z","cross_cats_sorted":["cs.SI","q-bio.QM"],"title_canon_sha256":"3ddb224b79cf6a397346bec23c3ca36e4ef2bf3735b9acfd88da02076e8d3a9e","abstract_canon_sha256":"229a5792d2c2be4100b3dbb3f5d7eca46ab72b9920ccd781ee17695a8821bdc2"},"schema_version":"1.0"},"canonical_sha256":"d06afcb8a21909e30725d3f39a62a20c0137735ca4b78ed87b11866ce181131e","source":{"kind":"arxiv","id":"2605.20454","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20454","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20454v1","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20454","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"2BVPZOFCDEE6","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"pith_short_16","alias_value":"2BVPZOFCDEE6GBZF","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"pith_short_8","alias_value":"2BVPZOFC","created_at":"2026-05-21T01:04:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2BVPZOFCDEE6GBZF2PZZUYVCBQ","target":"record","payload":{"canonical_record":{"source":{"id":"2605.20454","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-05-19T20:06:54Z","cross_cats_sorted":["cs.SI","q-bio.QM"],"title_canon_sha256":"3ddb224b79cf6a397346bec23c3ca36e4ef2bf3735b9acfd88da02076e8d3a9e","abstract_canon_sha256":"229a5792d2c2be4100b3dbb3f5d7eca46ab72b9920ccd781ee17695a8821bdc2"},"schema_version":"1.0"},"canonical_sha256":"d06afcb8a21909e30725d3f39a62a20c0137735ca4b78ed87b11866ce181131e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:04:38.502856Z","signature_b64":"7YvtA+e0l/g6eo3N/E09mTt7x9M9FAphDLYKPS3dd4uaT677F7rDYZlzpLRyoPeJB2s2S2N7JMTv1F+sfWJtBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d06afcb8a21909e30725d3f39a62a20c0137735ca4b78ed87b11866ce181131e","last_reissued_at":"2026-05-21T01:04:38.502326Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:04:38.502326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.20454","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":"2026-05-21T01:04:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RvpWFrDalm5m790T/e16TC7L4M3vQUmXiSN46ulQ0bHLU7vDHezWj0nrNTtL+gRwUj4XrII48lYiTk59JbdWAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:19:52.284695Z"},"content_sha256":"6ef2fd96f72455c3a002fbf35ba0eb255908198eedb7f60cd84cf35aeaec30ad","schema_version":"1.0","event_id":"sha256:6ef2fd96f72455c3a002fbf35ba0eb255908198eedb7f60cd84cf35aeaec30ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2BVPZOFCDEE6GBZF2PZZUYVCBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sparse Contextual Coupling Reshapes Diffusion Geometry in Multilayer Hypergraphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","q-bio.QM"],"primary_cat":"physics.soc-ph","authors_text":"Hao Ding, Sanjukta Krishnagopal","submitted_at":"2026-05-19T20:06:54Z","abstract_excerpt":"Many complex systems combine dense background structure with sparse contextual information. We introduce a diffusion-based framework for analyzing how sparse condition-specific layers reshape diffusion geometry in multilayer hypergraphs. Each layer is represented as a weighted hypergraph, layers are coupled through shared entities, and random walks on the coupled system induce multiscale diffusion distances between nodes.\n  We apply the framework to disease-conditioned gene networks by coupling a dense MSigDB functional gene-set layer to sparse disease-specific DGIdb drug-gene hypergraphs, wit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20454","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/2605.20454/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":"2026-05-21T01:04:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AvYTwFBxyh5zu2zMG2ZDZqIiu8EMmnkDKt8uJcxx7Iu9gfo/EEX5Z8YsZsCJpWf7Pbk/uVKan9ryWWMp6tHXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:19:52.285394Z"},"content_sha256":"8a34b8607e1a444e024433a583e4f0c1b472c481a36b52cd85685f50d526c159","schema_version":"1.0","event_id":"sha256:8a34b8607e1a444e024433a583e4f0c1b472c481a36b52cd85685f50d526c159"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BVPZOFCDEE6GBZF2PZZUYVCBQ/bundle.json","state_url":"https://pith.science/pith/2BVPZOFCDEE6GBZF2PZZUYVCBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BVPZOFCDEE6GBZF2PZZUYVCBQ/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":"2026-05-25T23:19:52Z","links":{"resolver":"https://pith.science/pith/2BVPZOFCDEE6GBZF2PZZUYVCBQ","bundle":"https://pith.science/pith/2BVPZOFCDEE6GBZF2PZZUYVCBQ/bundle.json","state":"https://pith.science/pith/2BVPZOFCDEE6GBZF2PZZUYVCBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BVPZOFCDEE6GBZF2PZZUYVCBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2BVPZOFCDEE6GBZF2PZZUYVCBQ","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":"229a5792d2c2be4100b3dbb3f5d7eca46ab72b9920ccd781ee17695a8821bdc2","cross_cats_sorted":["cs.SI","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-05-19T20:06:54Z","title_canon_sha256":"3ddb224b79cf6a397346bec23c3ca36e4ef2bf3735b9acfd88da02076e8d3a9e"},"schema_version":"1.0","source":{"id":"2605.20454","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.20454","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"arxiv_version","alias_value":"2605.20454v1","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.20454","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"pith_short_12","alias_value":"2BVPZOFCDEE6","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"pith_short_16","alias_value":"2BVPZOFCDEE6GBZF","created_at":"2026-05-21T01:04:38Z"},{"alias_kind":"pith_short_8","alias_value":"2BVPZOFC","created_at":"2026-05-21T01:04:38Z"}],"graph_snapshots":[{"event_id":"sha256:8a34b8607e1a444e024433a583e4f0c1b472c481a36b52cd85685f50d526c159","target":"graph","created_at":"2026-05-21T01:04:38Z","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/2605.20454/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Many complex systems combine dense background structure with sparse contextual information. We introduce a diffusion-based framework for analyzing how sparse condition-specific layers reshape diffusion geometry in multilayer hypergraphs. Each layer is represented as a weighted hypergraph, layers are coupled through shared entities, and random walks on the coupled system induce multiscale diffusion distances between nodes.\n  We apply the framework to disease-conditioned gene networks by coupling a dense MSigDB functional gene-set layer to sparse disease-specific DGIdb drug-gene hypergraphs, wit","authors_text":"Hao Ding, Sanjukta Krishnagopal","cross_cats":["cs.SI","q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-05-19T20:06:54Z","title":"Sparse Contextual Coupling Reshapes Diffusion Geometry in Multilayer Hypergraphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.20454","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":"sha256:6ef2fd96f72455c3a002fbf35ba0eb255908198eedb7f60cd84cf35aeaec30ad","target":"record","created_at":"2026-05-21T01:04:38Z","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":"229a5792d2c2be4100b3dbb3f5d7eca46ab72b9920ccd781ee17695a8821bdc2","cross_cats_sorted":["cs.SI","q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2026-05-19T20:06:54Z","title_canon_sha256":"3ddb224b79cf6a397346bec23c3ca36e4ef2bf3735b9acfd88da02076e8d3a9e"},"schema_version":"1.0","source":{"id":"2605.20454","kind":"arxiv","version":1}},"canonical_sha256":"d06afcb8a21909e30725d3f39a62a20c0137735ca4b78ed87b11866ce181131e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d06afcb8a21909e30725d3f39a62a20c0137735ca4b78ed87b11866ce181131e","first_computed_at":"2026-05-21T01:04:38.502326Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:04:38.502326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7YvtA+e0l/g6eo3N/E09mTt7x9M9FAphDLYKPS3dd4uaT677F7rDYZlzpLRyoPeJB2s2S2N7JMTv1F+sfWJtBg==","signature_status":"signed_v1","signed_at":"2026-05-21T01:04:38.502856Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.20454","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ef2fd96f72455c3a002fbf35ba0eb255908198eedb7f60cd84cf35aeaec30ad","sha256:8a34b8607e1a444e024433a583e4f0c1b472c481a36b52cd85685f50d526c159"],"state_sha256":"949fb3031b8d57da254dbe2d00a61fd8e99f027040d78c6b07ca22caa7ee3a51"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jUfWs2mMYTOmXwL01fMaAatZJRQUGNcMlMKliT341kf2jcGks/qFKRBvCiYCOy+b09uZuG+nwM2yRqosSevzCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:19:52.289389Z","bundle_sha256":"f17c366b033b69313ca60ec35e067c8362046f8ca7de1169add6bfc627dc379d"}}