{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:7YVRPKSTIIVOBIVKZ3ZQ5TT7DE","short_pith_number":"pith:7YVRPKST","canonical_record":{"source":{"id":"2103.05031","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2021-03-08T19:40:16Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"c6c23ba67817389ac0e34d3dacdd3410317287a321ffd74fea977d70588f032a","abstract_canon_sha256":"811013907eac99d9042fead15df6b3e27e4b71c11bc99810e22c6d95262b776d"},"schema_version":"1.0"},"canonical_sha256":"fe2b17aa53422ae0a2aacef30ece7f19067ec32f1dbea5a05e717ca0c731c70d","source":{"kind":"arxiv","id":"2103.05031","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.05031","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"2103.05031v1","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.05031","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"7YVRPKSTIIVO","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"pith_short_16","alias_value":"7YVRPKSTIIVOBIVK","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"pith_short_8","alias_value":"7YVRPKST","created_at":"2026-07-05T02:21:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:7YVRPKSTIIVOBIVKZ3ZQ5TT7DE","target":"record","payload":{"canonical_record":{"source":{"id":"2103.05031","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2021-03-08T19:40:16Z","cross_cats_sorted":["physics.soc-ph"],"title_canon_sha256":"c6c23ba67817389ac0e34d3dacdd3410317287a321ffd74fea977d70588f032a","abstract_canon_sha256":"811013907eac99d9042fead15df6b3e27e4b71c11bc99810e22c6d95262b776d"},"schema_version":"1.0"},"canonical_sha256":"fe2b17aa53422ae0a2aacef30ece7f19067ec32f1dbea5a05e717ca0c731c70d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:21:21.345240Z","signature_b64":"DlT+N+4bL456EdqdCzB2xyhOQ5VNtq/+jirMgzI2tJ7D+watzaXkOgMwPaVhvdQrQ0JEx6NpniDsAKJrG/m8Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fe2b17aa53422ae0a2aacef30ece7f19067ec32f1dbea5a05e717ca0c731c70d","last_reissued_at":"2026-07-05T02:21:21.344815Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:21:21.344815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.05031","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":"2026-07-05T02:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DN8TejTEGilkdlpeWGmdnGgijBnR4VDrGf5UHygWIJoUm9OmD/kFFHPPAcXVHh46PTrYbvud56tf4l/Ruip7Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T12:45:22.785780Z"},"content_sha256":"900f77a4b62cbb9ecaa46eac4c8a7194ea2f85361491d6e67cec6c1f7316b196","schema_version":"1.0","event_id":"sha256:900f77a4b62cbb9ecaa46eac4c8a7194ea2f85361491d6e67cec6c1f7316b196"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:7YVRPKSTIIVOBIVKZ3ZQ5TT7DE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Higher-order Network Analysis Takes Off, Fueled by Classical Ideas and New Data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph"],"primary_cat":"cs.SI","authors_text":"Austin R. Benson, David F. Gleich, Desmond J. Higham","submitted_at":"2021-03-08T19:40:16Z","abstract_excerpt":"Higher-order network analysis uses the ideas of hypergraphs, simplicial complexes, multilinear and tensor algebra, and more, to study complex systems. These are by now well established mathematical abstractions. What's new is that the ideas can be tested and refined on the type of large-scale data arising in today's digital world. This research area therefore is making an impact across many applications. Here, we provide a brief history, guide, and survey."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.05031","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/2103.05031/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":"2026-07-05T02:21:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TlfQoe5CDhj5f6MKRI4QHGgG2p9s5OxB0cKa/wXDS3DSXAuDPgnHVUglCi5hmcmk8LRfVpBUSDTA4fBITS4RAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T12:45:22.786693Z"},"content_sha256":"8e86c9b1dd6ec763973d46ca8bece0c26fd6b53c95acc31df2641d1197347227","schema_version":"1.0","event_id":"sha256:8e86c9b1dd6ec763973d46ca8bece0c26fd6b53c95acc31df2641d1197347227"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7YVRPKSTIIVOBIVKZ3ZQ5TT7DE/bundle.json","state_url":"https://pith.science/pith/7YVRPKSTIIVOBIVKZ3ZQ5TT7DE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7YVRPKSTIIVOBIVKZ3ZQ5TT7DE/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":"2026-08-19T12:45:22Z","links":{"resolver":"https://pith.science/pith/7YVRPKSTIIVOBIVKZ3ZQ5TT7DE","bundle":"https://pith.science/pith/7YVRPKSTIIVOBIVKZ3ZQ5TT7DE/bundle.json","state":"https://pith.science/pith/7YVRPKSTIIVOBIVKZ3ZQ5TT7DE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7YVRPKSTIIVOBIVKZ3ZQ5TT7DE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:7YVRPKSTIIVOBIVKZ3ZQ5TT7DE","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":"811013907eac99d9042fead15df6b3e27e4b71c11bc99810e22c6d95262b776d","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2021-03-08T19:40:16Z","title_canon_sha256":"c6c23ba67817389ac0e34d3dacdd3410317287a321ffd74fea977d70588f032a"},"schema_version":"1.0","source":{"id":"2103.05031","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.05031","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"arxiv_version","alias_value":"2103.05031v1","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.05031","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"pith_short_12","alias_value":"7YVRPKSTIIVO","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"pith_short_16","alias_value":"7YVRPKSTIIVOBIVK","created_at":"2026-07-05T02:21:21Z"},{"alias_kind":"pith_short_8","alias_value":"7YVRPKST","created_at":"2026-07-05T02:21:21Z"}],"graph_snapshots":[{"event_id":"sha256:8e86c9b1dd6ec763973d46ca8bece0c26fd6b53c95acc31df2641d1197347227","target":"graph","created_at":"2026-07-05T02:21:21Z","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/2103.05031/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Higher-order network analysis uses the ideas of hypergraphs, simplicial complexes, multilinear and tensor algebra, and more, to study complex systems. These are by now well established mathematical abstractions. What's new is that the ideas can be tested and refined on the type of large-scale data arising in today's digital world. This research area therefore is making an impact across many applications. Here, we provide a brief history, guide, and survey.","authors_text":"Austin R. Benson, David F. Gleich, Desmond J. Higham","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2021-03-08T19:40:16Z","title":"Higher-order Network Analysis Takes Off, Fueled by Classical Ideas and New Data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.05031","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":"sha256:900f77a4b62cbb9ecaa46eac4c8a7194ea2f85361491d6e67cec6c1f7316b196","target":"record","created_at":"2026-07-05T02:21:21Z","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":"811013907eac99d9042fead15df6b3e27e4b71c11bc99810e22c6d95262b776d","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2021-03-08T19:40:16Z","title_canon_sha256":"c6c23ba67817389ac0e34d3dacdd3410317287a321ffd74fea977d70588f032a"},"schema_version":"1.0","source":{"id":"2103.05031","kind":"arxiv","version":1}},"canonical_sha256":"fe2b17aa53422ae0a2aacef30ece7f19067ec32f1dbea5a05e717ca0c731c70d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fe2b17aa53422ae0a2aacef30ece7f19067ec32f1dbea5a05e717ca0c731c70d","first_computed_at":"2026-07-05T02:21:21.344815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:21:21.344815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DlT+N+4bL456EdqdCzB2xyhOQ5VNtq/+jirMgzI2tJ7D+watzaXkOgMwPaVhvdQrQ0JEx6NpniDsAKJrG/m8Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:21:21.345240Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.05031","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:900f77a4b62cbb9ecaa46eac4c8a7194ea2f85361491d6e67cec6c1f7316b196","sha256:8e86c9b1dd6ec763973d46ca8bece0c26fd6b53c95acc31df2641d1197347227"],"state_sha256":"2977de4db123573bf4549d27fda9af2e6eb3f6765de876677eaa9dd04e87b040"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0wLjJszW8LDzAwh7oNYmRVzk2cF4C96W67ducMRRjAFO8O45WbK4sY4oG31fKtCPSQJDW7gYv4HV7MNbMNBeCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T12:45:22.794125Z","bundle_sha256":"3cb6ef6c8d553560fdeb17ee64b9672b04c5f58835108c6f70d35d6a5ea4cea2"}}