{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:6PJEX4CJMDPNQUDRQYHDW774U3","short_pith_number":"pith:6PJEX4CJ","canonical_record":{"source":{"id":"1806.01455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-05T01:31:01Z","cross_cats_sorted":["cs.LG","cs.SI"],"title_canon_sha256":"97b5ffc772fc5400bf0c7ca96cef750aa48812c6fd49d0b6b54e20d807640ee5","abstract_canon_sha256":"5e8a8f8fce8dcbfa20784e1cddb67db7d081ed69792fe01be2e64870344368a7"},"schema_version":"1.0"},"canonical_sha256":"f3d24bf04960ded85071860e3b7ffca6f8e3a3621e8a958e789390924bd2c422","source":{"kind":"arxiv","id":"1806.01455","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01455","created_at":"2026-05-17T23:53:09Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01455v2","created_at":"2026-05-17T23:53:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01455","created_at":"2026-05-17T23:53:09Z"},{"alias_kind":"pith_short_12","alias_value":"6PJEX4CJMDPN","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6PJEX4CJMDPNQUDR","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6PJEX4CJ","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:6PJEX4CJMDPNQUDRQYHDW774U3","target":"record","payload":{"canonical_record":{"source":{"id":"1806.01455","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-05T01:31:01Z","cross_cats_sorted":["cs.LG","cs.SI"],"title_canon_sha256":"97b5ffc772fc5400bf0c7ca96cef750aa48812c6fd49d0b6b54e20d807640ee5","abstract_canon_sha256":"5e8a8f8fce8dcbfa20784e1cddb67db7d081ed69792fe01be2e64870344368a7"},"schema_version":"1.0"},"canonical_sha256":"f3d24bf04960ded85071860e3b7ffca6f8e3a3621e8a958e789390924bd2c422","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:09.513020Z","signature_b64":"ZBsBScW9/Gv0XKLqZcvzLnuT42CKr2bLfyvF7DvCP0Og0U6QT51JIO+hDJPuTSFsIE6KfdPFgPgMOrMy05xbCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3d24bf04960ded85071860e3b7ffca6f8e3a3621e8a958e789390924bd2c422","last_reissued_at":"2026-05-17T23:53:09.512280Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:09.512280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.01455","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m0p2Gm/yIAJGVW3fcPphYcnPBJMQVP3nbPuDyTxnr5P4wDf/jjR6ys9QCMn9XwQAdAUP/ks8f/uUJdoSjj3rCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:51:30.287083Z"},"content_sha256":"ec403bc6f4a32a9ecfbdf6418e839795d0bca6a1c2583217aa8dfa96d1d10409","schema_version":"1.0","event_id":"sha256:ec403bc6f4a32a9ecfbdf6418e839795d0bca6a1c2583217aa8dfa96d1d10409"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:6PJEX4CJMDPNQUDRQYHDW774U3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"EigenNetworks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG","cs.SI"],"primary_cat":"stat.ML","authors_text":"Jonathan Mei, Jos\\'e M.F. Moura","submitted_at":"2018-06-05T01:31:01Z","abstract_excerpt":"Many applications donot have the benefit of the laws of physics to derive succinct descriptive models for observed data. In alternative, interdependencies among $N$ time series $\\{ x_{nk}, k>0 \\}_{n=1}^{N}$ are nowadays often captured by a graph or network $G$ that in practice may be very large. The network itself may change over time as well (i.e., as $G_k$). Tracking brute force the changes of time varying networks presents major challenges, including the associated computational problems. Further, a large set of networks may not lend itself to useful analysis. This paper approximates the ti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01455","kind":"arxiv","version":2},"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":"2026-05-17T23:53:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JdVoncBnfkKnCN/LsqOQpBdZlK2LpBQ2dZpn7TFCo/QZleUAyoowXPOSItLo9ebYKfn4UKhPxjPXNiGyUd68Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T15:51:30.287441Z"},"content_sha256":"851bc91f778b91e6f0dbcd9a18b69cf8d0b9f30345ad07e0e63025d896ee6f6d","schema_version":"1.0","event_id":"sha256:851bc91f778b91e6f0dbcd9a18b69cf8d0b9f30345ad07e0e63025d896ee6f6d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6PJEX4CJMDPNQUDRQYHDW774U3/bundle.json","state_url":"https://pith.science/pith/6PJEX4CJMDPNQUDRQYHDW774U3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6PJEX4CJMDPNQUDRQYHDW774U3/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":"2026-06-27T15:51:30Z","links":{"resolver":"https://pith.science/pith/6PJEX4CJMDPNQUDRQYHDW774U3","bundle":"https://pith.science/pith/6PJEX4CJMDPNQUDRQYHDW774U3/bundle.json","state":"https://pith.science/pith/6PJEX4CJMDPNQUDRQYHDW774U3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6PJEX4CJMDPNQUDRQYHDW774U3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:6PJEX4CJMDPNQUDRQYHDW774U3","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":"5e8a8f8fce8dcbfa20784e1cddb67db7d081ed69792fe01be2e64870344368a7","cross_cats_sorted":["cs.LG","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-05T01:31:01Z","title_canon_sha256":"97b5ffc772fc5400bf0c7ca96cef750aa48812c6fd49d0b6b54e20d807640ee5"},"schema_version":"1.0","source":{"id":"1806.01455","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01455","created_at":"2026-05-17T23:53:09Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01455v2","created_at":"2026-05-17T23:53:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01455","created_at":"2026-05-17T23:53:09Z"},{"alias_kind":"pith_short_12","alias_value":"6PJEX4CJMDPN","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"6PJEX4CJMDPNQUDR","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"6PJEX4CJ","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:851bc91f778b91e6f0dbcd9a18b69cf8d0b9f30345ad07e0e63025d896ee6f6d","target":"graph","created_at":"2026-05-17T23:53:09Z","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"},"paper":{"abstract_excerpt":"Many applications donot have the benefit of the laws of physics to derive succinct descriptive models for observed data. In alternative, interdependencies among $N$ time series $\\{ x_{nk}, k>0 \\}_{n=1}^{N}$ are nowadays often captured by a graph or network $G$ that in practice may be very large. The network itself may change over time as well (i.e., as $G_k$). Tracking brute force the changes of time varying networks presents major challenges, including the associated computational problems. Further, a large set of networks may not lend itself to useful analysis. This paper approximates the ti","authors_text":"Jonathan Mei, Jos\\'e M.F. Moura","cross_cats":["cs.LG","cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-05T01:31:01Z","title":"EigenNetworks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01455","kind":"arxiv","version":2},"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:ec403bc6f4a32a9ecfbdf6418e839795d0bca6a1c2583217aa8dfa96d1d10409","target":"record","created_at":"2026-05-17T23:53:09Z","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":"5e8a8f8fce8dcbfa20784e1cddb67db7d081ed69792fe01be2e64870344368a7","cross_cats_sorted":["cs.LG","cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ML","submitted_at":"2018-06-05T01:31:01Z","title_canon_sha256":"97b5ffc772fc5400bf0c7ca96cef750aa48812c6fd49d0b6b54e20d807640ee5"},"schema_version":"1.0","source":{"id":"1806.01455","kind":"arxiv","version":2}},"canonical_sha256":"f3d24bf04960ded85071860e3b7ffca6f8e3a3621e8a958e789390924bd2c422","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3d24bf04960ded85071860e3b7ffca6f8e3a3621e8a958e789390924bd2c422","first_computed_at":"2026-05-17T23:53:09.512280Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:09.512280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZBsBScW9/Gv0XKLqZcvzLnuT42CKr2bLfyvF7DvCP0Og0U6QT51JIO+hDJPuTSFsIE6KfdPFgPgMOrMy05xbCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:09.513020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01455","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ec403bc6f4a32a9ecfbdf6418e839795d0bca6a1c2583217aa8dfa96d1d10409","sha256:851bc91f778b91e6f0dbcd9a18b69cf8d0b9f30345ad07e0e63025d896ee6f6d"],"state_sha256":"7a4a4272be294f292eeb98a3deaf65d1187db3e8e5f15cc751efe887f2b51584"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RB9z+YFydC/GyC8AGZebjP3SoYPyBCJg/dt9fMU8mIL+5YVLNqe/pUWr5xLd1Sn6gArZqxgy8yYU2MvPG49+CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T15:51:30.289294Z","bundle_sha256":"d13dc2185b87f6f5d04ff405ef298bbd916c87d12e7ebfef1e8815f6c45f8262"}}