{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FA4PHA7UGDO5U67F4YTEY5RZIC","short_pith_number":"pith:FA4PHA7U","canonical_record":{"source":{"id":"1612.07277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-11-20T00:43:37Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"5eae4e83a94154ffcd6eca189e143314af96976446dde9ec195bde608217a386","abstract_canon_sha256":"362867ca7dade035ceb9273e054829f5bae5e01dfeefa8a0a8b4fd1785934ff7"},"schema_version":"1.0"},"canonical_sha256":"2838f383f430ddda7be5e6264c763940ac5b159aa108591a8303b87ff193d007","source":{"kind":"arxiv","id":"1612.07277","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07277","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07277v1","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07277","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"FA4PHA7UGDO5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FA4PHA7UGDO5U67F","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FA4PHA7U","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FA4PHA7UGDO5U67F4YTEY5RZIC","target":"record","payload":{"canonical_record":{"source":{"id":"1612.07277","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-11-20T00:43:37Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"5eae4e83a94154ffcd6eca189e143314af96976446dde9ec195bde608217a386","abstract_canon_sha256":"362867ca7dade035ceb9273e054829f5bae5e01dfeefa8a0a8b4fd1785934ff7"},"schema_version":"1.0"},"canonical_sha256":"2838f383f430ddda7be5e6264c763940ac5b159aa108591a8303b87ff193d007","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:01.365735Z","signature_b64":"+fFjbk/yHRt0gQT7YfwzkgqKZF0ctFYHg/PicvU4GJShirlyqZTUsp//wP3cIIga2oIAlSyMLpH+q4NnGXIyDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2838f383f430ddda7be5e6264c763940ac5b159aa108591a8303b87ff193d007","last_reissued_at":"2026-05-18T00:43:01.365028Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:01.365028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.07277","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":"2026-05-18T00:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IOa8UurVzeVCDD2cIy4nWfXw6amIn3T9rZeOd2ukfjlWexg2/b/Trgd4bN5atbCq0f29obSXR+bKsFqObtN9BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:04:55.531946Z"},"content_sha256":"8da79843e13aafe531e46f99211a26be7c25b8ed74533accb5c4888fbe0f09b4","schema_version":"1.0","event_id":"sha256:8da79843e13aafe531e46f99211a26be7c25b8ed74533accb5c4888fbe0f09b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FA4PHA7UGDO5U67F4YTEY5RZIC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast asynchronous updating algorithms for k-shell indices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Tao Zhou, Yan-Li Lee","submitted_at":"2016-11-20T00:43:37Z","abstract_excerpt":"Identifying influential nodes in networks is a significant and challenging task. Among many centrality indices, the $k$-shell index performs very well in finding out influential spreaders. However, the traditional method for calculating the $k$-shell indices of nodes needs the global topological information, which limits its applications in large-scale dynamically growing networks. Recently, L\\@\\\"{u} \\emph{et al.} [Nature Communications 7 (2016) 10168] proposed a novel asynchronous algorithm to calculate the $k$-shell indices, which is suitable to deal with large-scale growing networks. In thi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07277","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":""},"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":"2026-05-18T00:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Msz6maWHJGMGoC1CShqnrQmynXatONZQyU5lekJKt8Sl2mgXusKDGQ/ugD59WErRGsPTxUdmDHj2XzBWERknBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:04:55.532295Z"},"content_sha256":"c259bc259235979fd8f28709d4746a5daeca1fe7a4eb72e6f56b70a493efe28c","schema_version":"1.0","event_id":"sha256:c259bc259235979fd8f28709d4746a5daeca1fe7a4eb72e6f56b70a493efe28c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FA4PHA7UGDO5U67F4YTEY5RZIC/bundle.json","state_url":"https://pith.science/pith/FA4PHA7UGDO5U67F4YTEY5RZIC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FA4PHA7UGDO5U67F4YTEY5RZIC/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":"2026-06-24T21:04:55Z","links":{"resolver":"https://pith.science/pith/FA4PHA7UGDO5U67F4YTEY5RZIC","bundle":"https://pith.science/pith/FA4PHA7UGDO5U67F4YTEY5RZIC/bundle.json","state":"https://pith.science/pith/FA4PHA7UGDO5U67F4YTEY5RZIC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FA4PHA7UGDO5U67F4YTEY5RZIC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FA4PHA7UGDO5U67F4YTEY5RZIC","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":"362867ca7dade035ceb9273e054829f5bae5e01dfeefa8a0a8b4fd1785934ff7","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-11-20T00:43:37Z","title_canon_sha256":"5eae4e83a94154ffcd6eca189e143314af96976446dde9ec195bde608217a386"},"schema_version":"1.0","source":{"id":"1612.07277","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.07277","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1612.07277v1","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.07277","created_at":"2026-05-18T00:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"FA4PHA7UGDO5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FA4PHA7UGDO5U67F","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FA4PHA7U","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:c259bc259235979fd8f28709d4746a5daeca1fe7a4eb72e6f56b70a493efe28c","target":"graph","created_at":"2026-05-18T00:43:01Z","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"},"paper":{"abstract_excerpt":"Identifying influential nodes in networks is a significant and challenging task. Among many centrality indices, the $k$-shell index performs very well in finding out influential spreaders. However, the traditional method for calculating the $k$-shell indices of nodes needs the global topological information, which limits its applications in large-scale dynamically growing networks. Recently, L\\@\\\"{u} \\emph{et al.} [Nature Communications 7 (2016) 10168] proposed a novel asynchronous algorithm to calculate the $k$-shell indices, which is suitable to deal with large-scale growing networks. In thi","authors_text":"Tao Zhou, Yan-Li Lee","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-11-20T00:43:37Z","title":"Fast asynchronous updating algorithms for k-shell indices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.07277","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":"sha256:8da79843e13aafe531e46f99211a26be7c25b8ed74533accb5c4888fbe0f09b4","target":"record","created_at":"2026-05-18T00:43:01Z","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":"362867ca7dade035ceb9273e054829f5bae5e01dfeefa8a0a8b4fd1785934ff7","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-11-20T00:43:37Z","title_canon_sha256":"5eae4e83a94154ffcd6eca189e143314af96976446dde9ec195bde608217a386"},"schema_version":"1.0","source":{"id":"1612.07277","kind":"arxiv","version":1}},"canonical_sha256":"2838f383f430ddda7be5e6264c763940ac5b159aa108591a8303b87ff193d007","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2838f383f430ddda7be5e6264c763940ac5b159aa108591a8303b87ff193d007","first_computed_at":"2026-05-18T00:43:01.365028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:01.365028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+fFjbk/yHRt0gQT7YfwzkgqKZF0ctFYHg/PicvU4GJShirlyqZTUsp//wP3cIIga2oIAlSyMLpH+q4NnGXIyDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:01.365735Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.07277","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8da79843e13aafe531e46f99211a26be7c25b8ed74533accb5c4888fbe0f09b4","sha256:c259bc259235979fd8f28709d4746a5daeca1fe7a4eb72e6f56b70a493efe28c"],"state_sha256":"f8f04ddc2aec2cf52854de715b54e555cbed4031964c23b823f49a645e02be49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3wyA+0WDHq6YhWy+ySMkWjbCBAXF2OHLq5cgDRy8Lam4x1z6oUzVJQVjBD9h38mHO6x93acvziKsW/cXxVFDAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:04:55.534234Z","bundle_sha256":"902afa65796fee44a6eb8432a32da06ba6085e0e74397376f0fa92d3d0e7c133"}}