{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:FKKVUARSIRCZUH7V3YRFTC64FV","short_pith_number":"pith:FKKVUARS","canonical_record":{"source":{"id":"1801.09257","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-01-28T17:51:43Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"cfebff35a80a3399ff45851c79620f73944a7da18956aeafc68ad3fae8c916d2","abstract_canon_sha256":"2801ecc66ef8bb257b1d949dd2c9c0ff98d87ed85ecb84f62b2c84c70e82c1d1"},"schema_version":"1.0"},"canonical_sha256":"2a955a023244459a1ff5de22598bdc2d483afc6964abfef2d01c435a9e8827bb","source":{"kind":"arxiv","id":"1801.09257","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09257","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09257v2","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09257","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"pith_short_12","alias_value":"FKKVUARSIRCZ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FKKVUARSIRCZUH7V","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FKKVUARS","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:FKKVUARSIRCZUH7V3YRFTC64FV","target":"record","payload":{"canonical_record":{"source":{"id":"1801.09257","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-01-28T17:51:43Z","cross_cats_sorted":["q-bio.QM"],"title_canon_sha256":"cfebff35a80a3399ff45851c79620f73944a7da18956aeafc68ad3fae8c916d2","abstract_canon_sha256":"2801ecc66ef8bb257b1d949dd2c9c0ff98d87ed85ecb84f62b2c84c70e82c1d1"},"schema_version":"1.0"},"canonical_sha256":"2a955a023244459a1ff5de22598bdc2d483afc6964abfef2d01c435a9e8827bb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:50.622695Z","signature_b64":"iottNudb8cd+fat0OQ+nL8FEFPMWPrXbSpsq5Iybig/KbwOa3GDK1c1CIeV9ur00wULPeLZTx/BrajvfKgAvAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a955a023244459a1ff5de22598bdc2d483afc6964abfef2d01c435a9e8827bb","last_reissued_at":"2026-05-18T00:21:50.622097Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:50.622097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.09257","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":"2026-05-18T00:21:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T8Nr5xKaz00CTjook3uinOK/jVgjXe8ghwm7rQJzIM4Mn5vSSJ/pxaVP/PVw9NfwZSofi+GE0T3RXHWcaI3RAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:07:45.060217Z"},"content_sha256":"4957ca4637c663349028ceb336ac8a22c2800bcb4b55b027ad0a3cda6cd3af0d","schema_version":"1.0","event_id":"sha256:4957ca4637c663349028ceb336ac8a22c2800bcb4b55b027ad0a3cda6cd3af0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:FKKVUARSIRCZUH7V3YRFTC64FV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Volume entropy and information flow in a brain graph","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.QM"],"primary_cat":"q-bio.NC","authors_text":"Dong Soo Lee, Eunkyung Kim, Hyejin Kang, Hyekyoung Lee, Seonhee Lim, Youngjo Lee, Youngmin Huh","submitted_at":"2018-01-28T17:51:43Z","abstract_excerpt":"Entropy is a classical measure to quantify the amount of information or complexity of a system. Various entropy-based measures such as functional and spectral entropies have been proposed in brain network analysis. However, they are less widely used than traditional graph theoretic measures such as global and local efficiencies because either they are not well-defined on a graph or difficult to interpret its biological meaning. In this paper, we propose a new entropy-based graph invariant, called volume entropy. It measures the exponential growth rate of the number of paths in a graph, which i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09257","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":"2026-05-18T00:21:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yFsdb2rP8C3mnIboZXw/dB23R5UKi7gPoQu/gc8d8t7hNIUs4lPD531EJk/aqvNnESttQIQfJl0PMF6HvpsoDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:07:45.060617Z"},"content_sha256":"61850fccfb358b2cbdf7d5b7c22ecdeeb8d78784b9125544a882fce8974c40c8","schema_version":"1.0","event_id":"sha256:61850fccfb358b2cbdf7d5b7c22ecdeeb8d78784b9125544a882fce8974c40c8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FKKVUARSIRCZUH7V3YRFTC64FV/bundle.json","state_url":"https://pith.science/pith/FKKVUARSIRCZUH7V3YRFTC64FV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FKKVUARSIRCZUH7V3YRFTC64FV/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":"2026-05-28T19:07:45Z","links":{"resolver":"https://pith.science/pith/FKKVUARSIRCZUH7V3YRFTC64FV","bundle":"https://pith.science/pith/FKKVUARSIRCZUH7V3YRFTC64FV/bundle.json","state":"https://pith.science/pith/FKKVUARSIRCZUH7V3YRFTC64FV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FKKVUARSIRCZUH7V3YRFTC64FV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FKKVUARSIRCZUH7V3YRFTC64FV","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":"2801ecc66ef8bb257b1d949dd2c9c0ff98d87ed85ecb84f62b2c84c70e82c1d1","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-01-28T17:51:43Z","title_canon_sha256":"cfebff35a80a3399ff45851c79620f73944a7da18956aeafc68ad3fae8c916d2"},"schema_version":"1.0","source":{"id":"1801.09257","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.09257","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"arxiv_version","alias_value":"1801.09257v2","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.09257","created_at":"2026-05-18T00:21:50Z"},{"alias_kind":"pith_short_12","alias_value":"FKKVUARSIRCZ","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FKKVUARSIRCZUH7V","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FKKVUARS","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:61850fccfb358b2cbdf7d5b7c22ecdeeb8d78784b9125544a882fce8974c40c8","target":"graph","created_at":"2026-05-18T00:21:50Z","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":"Entropy is a classical measure to quantify the amount of information or complexity of a system. Various entropy-based measures such as functional and spectral entropies have been proposed in brain network analysis. However, they are less widely used than traditional graph theoretic measures such as global and local efficiencies because either they are not well-defined on a graph or difficult to interpret its biological meaning. In this paper, we propose a new entropy-based graph invariant, called volume entropy. It measures the exponential growth rate of the number of paths in a graph, which i","authors_text":"Dong Soo Lee, Eunkyung Kim, Hyejin Kang, Hyekyoung Lee, Seonhee Lim, Youngjo Lee, Youngmin Huh","cross_cats":["q-bio.QM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-01-28T17:51:43Z","title":"Volume entropy and information flow in a brain graph"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.09257","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":"sha256:4957ca4637c663349028ceb336ac8a22c2800bcb4b55b027ad0a3cda6cd3af0d","target":"record","created_at":"2026-05-18T00:21:50Z","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":"2801ecc66ef8bb257b1d949dd2c9c0ff98d87ed85ecb84f62b2c84c70e82c1d1","cross_cats_sorted":["q-bio.QM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-01-28T17:51:43Z","title_canon_sha256":"cfebff35a80a3399ff45851c79620f73944a7da18956aeafc68ad3fae8c916d2"},"schema_version":"1.0","source":{"id":"1801.09257","kind":"arxiv","version":2}},"canonical_sha256":"2a955a023244459a1ff5de22598bdc2d483afc6964abfef2d01c435a9e8827bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a955a023244459a1ff5de22598bdc2d483afc6964abfef2d01c435a9e8827bb","first_computed_at":"2026-05-18T00:21:50.622097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:50.622097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iottNudb8cd+fat0OQ+nL8FEFPMWPrXbSpsq5Iybig/KbwOa3GDK1c1CIeV9ur00wULPeLZTx/BrajvfKgAvAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:50.622695Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.09257","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4957ca4637c663349028ceb336ac8a22c2800bcb4b55b027ad0a3cda6cd3af0d","sha256:61850fccfb358b2cbdf7d5b7c22ecdeeb8d78784b9125544a882fce8974c40c8"],"state_sha256":"3f0d2112f9c0a3972fc9c1312270727147d20793de41615ab5039649aaeb1def"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MOSrnqhdDGz1qTGVtdyvRnyEpPT9Au2+A362iWXrLI0brRdxkidEgmWTpe18fjHbawrmwAg7MfEuJzE4/YeFDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:07:45.062879Z","bundle_sha256":"2c31c838becde040a73df5c57897fe271ef923d68716f7bb67795b738662a7d3"}}