{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2PWXV44BSHC25SJ45WONFOXPQA","short_pith_number":"pith:2PWXV44B","canonical_record":{"source":{"id":"2308.04659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2023-08-09T01:54:35Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"4a753d1a4440d7b1fa4fa243479b951b32db5624055d46f732e284fe2778177d","abstract_canon_sha256":"f7d6d4185f97545c6f9adfb878e87117651af6b816ee95754976eb1fad0102c5"},"schema_version":"1.0"},"canonical_sha256":"d3ed7af38191c5aec93ced9cd2baef801bc41c9b768fd1a07db7e4e809a84038","source":{"kind":"arxiv","id":"2308.04659","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.04659","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"2308.04659v1","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04659","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"2PWXV44BSHC2","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"pith_short_16","alias_value":"2PWXV44BSHC25SJ4","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"pith_short_8","alias_value":"2PWXV44B","created_at":"2026-07-05T06:39:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2PWXV44BSHC25SJ45WONFOXPQA","target":"record","payload":{"canonical_record":{"source":{"id":"2308.04659","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2023-08-09T01:54:35Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"4a753d1a4440d7b1fa4fa243479b951b32db5624055d46f732e284fe2778177d","abstract_canon_sha256":"f7d6d4185f97545c6f9adfb878e87117651af6b816ee95754976eb1fad0102c5"},"schema_version":"1.0"},"canonical_sha256":"d3ed7af38191c5aec93ced9cd2baef801bc41c9b768fd1a07db7e4e809a84038","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:39:40.945020Z","signature_b64":"rWpAmZgBOUIwryXrslyRDTIeTKRsSgZ2wNMMsYZp744RkLGl/pPp0OIm8BQg+ySRghxdOqyzF9xi4ICeiKXGCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3ed7af38191c5aec93ced9cd2baef801bc41c9b768fd1a07db7e4e809a84038","last_reissued_at":"2026-07-05T06:39:40.944556Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:39:40.944556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.04659","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":"2026-07-05T06:39:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qNBHfPr33IP+wwOTumztLqshE/WtbIMX7dw8m9GIpBjVJ883HDlSlA/txpis3tpp9/tFWds1vPwFtDDI63uXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T15:51:25.165505Z"},"content_sha256":"a98c330a124427b3d7cd42ee38e154a6f2b732f1b6ef4ab8518468e7d2198ffe","schema_version":"1.0","event_id":"sha256:a98c330a124427b3d7cd42ee38e154a6f2b732f1b6ef4ab8518468e7d2198ffe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2PWXV44BSHC25SJ45WONFOXPQA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A hyper-distance-based method for hypernetwork comparison","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Chuang Liu, Tao Xu, Xiaowen Xie, Xiu-Xiu Zhan, Zi-Ke Zhang","submitted_at":"2023-08-09T01:54:35Z","abstract_excerpt":"Hypernetwork is a useful way to depict multiple connections between nodes, making it an ideal tool for representing complex relationships in network science. In recent years, there has been a marked increase in studies on hypernetworks, however, the comparison of the difference between two hypernetworks has been given less attention. This paper proposes a hyper-distance-based method (HD) for comparing hypernetworks. This method takes into account high-order information, such as the high-order distance between nodes. The experiments carried out on synthetic hypernetworks have shown that HD is c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04659","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/2308.04659/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":"2026-07-05T06:39:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZNaxCv18YyCAGMLXa07OJnmszP/caHjpTfCa492zLkH+Hh2JTfGxnThpDrhpsjnQGGp8ZcHuDquDPz08/8wGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T15:51:25.166043Z"},"content_sha256":"c0a6fe2aad77cd5af5553977b99e3b28bab2487a52950b5c1e11ebb89f469e2d","schema_version":"1.0","event_id":"sha256:c0a6fe2aad77cd5af5553977b99e3b28bab2487a52950b5c1e11ebb89f469e2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2PWXV44BSHC25SJ45WONFOXPQA/bundle.json","state_url":"https://pith.science/pith/2PWXV44BSHC25SJ45WONFOXPQA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2PWXV44BSHC25SJ45WONFOXPQA/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":"2026-08-10T15:51:25Z","links":{"resolver":"https://pith.science/pith/2PWXV44BSHC25SJ45WONFOXPQA","bundle":"https://pith.science/pith/2PWXV44BSHC25SJ45WONFOXPQA/bundle.json","state":"https://pith.science/pith/2PWXV44BSHC25SJ45WONFOXPQA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2PWXV44BSHC25SJ45WONFOXPQA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2PWXV44BSHC25SJ45WONFOXPQA","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":"f7d6d4185f97545c6f9adfb878e87117651af6b816ee95754976eb1fad0102c5","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2023-08-09T01:54:35Z","title_canon_sha256":"4a753d1a4440d7b1fa4fa243479b951b32db5624055d46f732e284fe2778177d"},"schema_version":"1.0","source":{"id":"2308.04659","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.04659","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"2308.04659v1","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.04659","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"2PWXV44BSHC2","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"pith_short_16","alias_value":"2PWXV44BSHC25SJ4","created_at":"2026-07-05T06:39:40Z"},{"alias_kind":"pith_short_8","alias_value":"2PWXV44B","created_at":"2026-07-05T06:39:40Z"}],"graph_snapshots":[{"event_id":"sha256:c0a6fe2aad77cd5af5553977b99e3b28bab2487a52950b5c1e11ebb89f469e2d","target":"graph","created_at":"2026-07-05T06:39:40Z","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/2308.04659/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hypernetwork is a useful way to depict multiple connections between nodes, making it an ideal tool for representing complex relationships in network science. In recent years, there has been a marked increase in studies on hypernetworks, however, the comparison of the difference between two hypernetworks has been given less attention. This paper proposes a hyper-distance-based method (HD) for comparing hypernetworks. This method takes into account high-order information, such as the high-order distance between nodes. The experiments carried out on synthetic hypernetworks have shown that HD is c","authors_text":"Chuang Liu, Tao Xu, Xiaowen Xie, Xiu-Xiu Zhan, Zi-Ke Zhang","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2023-08-09T01:54:35Z","title":"A hyper-distance-based method for hypernetwork comparison"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04659","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:a98c330a124427b3d7cd42ee38e154a6f2b732f1b6ef4ab8518468e7d2198ffe","target":"record","created_at":"2026-07-05T06:39:40Z","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":"f7d6d4185f97545c6f9adfb878e87117651af6b816ee95754976eb1fad0102c5","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2023-08-09T01:54:35Z","title_canon_sha256":"4a753d1a4440d7b1fa4fa243479b951b32db5624055d46f732e284fe2778177d"},"schema_version":"1.0","source":{"id":"2308.04659","kind":"arxiv","version":1}},"canonical_sha256":"d3ed7af38191c5aec93ced9cd2baef801bc41c9b768fd1a07db7e4e809a84038","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d3ed7af38191c5aec93ced9cd2baef801bc41c9b768fd1a07db7e4e809a84038","first_computed_at":"2026-07-05T06:39:40.944556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:39:40.944556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rWpAmZgBOUIwryXrslyRDTIeTKRsSgZ2wNMMsYZp744RkLGl/pPp0OIm8BQg+ySRghxdOqyzF9xi4ICeiKXGCg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:39:40.945020Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.04659","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a98c330a124427b3d7cd42ee38e154a6f2b732f1b6ef4ab8518468e7d2198ffe","sha256:c0a6fe2aad77cd5af5553977b99e3b28bab2487a52950b5c1e11ebb89f469e2d"],"state_sha256":"0152af2daced1735347ef69afc664612f2edc030e1c9e12043ae0142683ffb03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GxGxL8N5xpxyFK+ZdJI/EB+i10w224KrRb35Gg5KtkpyLpDwkxuCKPgXcNOQ/lz6J2Ncc0uwpNtXTnNfdxTXCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T15:51:25.170416Z","bundle_sha256":"d4989dc4884f55b5e9a5d415a5d3a166450e4b0f1da408dff669461a04640693"}}