{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:LLJ6FR5JIJ3V66GSDJQ3JDKU3J","short_pith_number":"pith:LLJ6FR5J","canonical_record":{"source":{"id":"1811.08991","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-11-22T01:55:15Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"68c774d57ddbe51bd8f41a89e9480cd8f72a46b9c79c117eff294008dcbcaded","abstract_canon_sha256":"a206d1ef778006912077c5011347d8c56a963e8ee677807eec477c4a740c61be"},"schema_version":"1.0"},"canonical_sha256":"5ad3e2c7a942775f78d21a61b48d54da609765940f2c0d5ae233936b56ba78ba","source":{"kind":"arxiv","id":"1811.08991","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.08991","created_at":"2026-05-17T23:42:26Z"},{"alias_kind":"arxiv_version","alias_value":"1811.08991v3","created_at":"2026-05-17T23:42:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.08991","created_at":"2026-05-17T23:42:26Z"},{"alias_kind":"pith_short_12","alias_value":"LLJ6FR5JIJ3V","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LLJ6FR5JIJ3V66GS","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LLJ6FR5J","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:LLJ6FR5JIJ3V66GSDJQ3JDKU3J","target":"record","payload":{"canonical_record":{"source":{"id":"1811.08991","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-11-22T01:55:15Z","cross_cats_sorted":["nlin.AO"],"title_canon_sha256":"68c774d57ddbe51bd8f41a89e9480cd8f72a46b9c79c117eff294008dcbcaded","abstract_canon_sha256":"a206d1ef778006912077c5011347d8c56a963e8ee677807eec477c4a740c61be"},"schema_version":"1.0"},"canonical_sha256":"5ad3e2c7a942775f78d21a61b48d54da609765940f2c0d5ae233936b56ba78ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:26.324251Z","signature_b64":"kfBj0EIiINY3qsh7e/r0i0iIjNyRMZ2YAPtxE9J+X5cspcbMOtpWEFYGFBCI7pmaG99ns9nsRPzpzhY8KZAcDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ad3e2c7a942775f78d21a61b48d54da609765940f2c0d5ae233936b56ba78ba","last_reissued_at":"2026-05-17T23:42:26.323691Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:26.323691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.08991","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MoUUH9a4SNwrBwslpQRe6L3uyH30KFfZvtu9piRbnO3fnpttJ8H62DqEIHBvXtimh26h6vwwErsbKoqqEznGAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:47:20.119383Z"},"content_sha256":"124e335e02f231cc19c79d5962ab28b074b622af15ab1671687231ff8b4230ad","schema_version":"1.0","event_id":"sha256:124e335e02f231cc19c79d5962ab28b074b622af15ab1671687231ff8b4230ad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:LLJ6FR5JIJ3V66GSDJQ3JDKU3J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Compressibility of random walker trajectories on growing networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO"],"primary_cat":"physics.soc-ph","authors_text":"Charlotte Strandkvist, Robert J. H. Ross, Walter Fontana","submitted_at":"2018-11-22T01:55:15Z","abstract_excerpt":"We find that the simple coupling of network growth to the position of a random walker on the network generates a traveling wave in the probability distribution of nodes visited by the walker. We argue that the entropy of this probability distribution is bounded as the network size tends to infinity. This means that the growth of a space coupled to a random walker situated in it constrains its dynamics to a set of typical random walker trajectories, and walker trajectories inside the growing space are compressible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.08991","kind":"arxiv","version":3},"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":"2026-05-17T23:42:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ILZ9p3g3J6U+T9VTLlBo+JseufrSe/XAaFqYm+bif+fOEbu5w13Nm+rV2sDqEUSGtOqyqnHuZSErVPn5+rr9Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T00:47:20.120129Z"},"content_sha256":"4dbe91ada25b9c359406961317e3f18b3af3abe30fc97f6d21faaf81f26ecfda","schema_version":"1.0","event_id":"sha256:4dbe91ada25b9c359406961317e3f18b3af3abe30fc97f6d21faaf81f26ecfda"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LLJ6FR5JIJ3V66GSDJQ3JDKU3J/bundle.json","state_url":"https://pith.science/pith/LLJ6FR5JIJ3V66GSDJQ3JDKU3J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LLJ6FR5JIJ3V66GSDJQ3JDKU3J/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":"2026-05-31T00:47:20Z","links":{"resolver":"https://pith.science/pith/LLJ6FR5JIJ3V66GSDJQ3JDKU3J","bundle":"https://pith.science/pith/LLJ6FR5JIJ3V66GSDJQ3JDKU3J/bundle.json","state":"https://pith.science/pith/LLJ6FR5JIJ3V66GSDJQ3JDKU3J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LLJ6FR5JIJ3V66GSDJQ3JDKU3J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LLJ6FR5JIJ3V66GSDJQ3JDKU3J","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":"a206d1ef778006912077c5011347d8c56a963e8ee677807eec477c4a740c61be","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-11-22T01:55:15Z","title_canon_sha256":"68c774d57ddbe51bd8f41a89e9480cd8f72a46b9c79c117eff294008dcbcaded"},"schema_version":"1.0","source":{"id":"1811.08991","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.08991","created_at":"2026-05-17T23:42:26Z"},{"alias_kind":"arxiv_version","alias_value":"1811.08991v3","created_at":"2026-05-17T23:42:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.08991","created_at":"2026-05-17T23:42:26Z"},{"alias_kind":"pith_short_12","alias_value":"LLJ6FR5JIJ3V","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LLJ6FR5JIJ3V66GS","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LLJ6FR5J","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:4dbe91ada25b9c359406961317e3f18b3af3abe30fc97f6d21faaf81f26ecfda","target":"graph","created_at":"2026-05-17T23:42:26Z","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":"We find that the simple coupling of network growth to the position of a random walker on the network generates a traveling wave in the probability distribution of nodes visited by the walker. We argue that the entropy of this probability distribution is bounded as the network size tends to infinity. This means that the growth of a space coupled to a random walker situated in it constrains its dynamics to a set of typical random walker trajectories, and walker trajectories inside the growing space are compressible.","authors_text":"Charlotte Strandkvist, Robert J. H. Ross, Walter Fontana","cross_cats":["nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-11-22T01:55:15Z","title":"Compressibility of random walker trajectories on growing networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.08991","kind":"arxiv","version":3},"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":"sha256:124e335e02f231cc19c79d5962ab28b074b622af15ab1671687231ff8b4230ad","target":"record","created_at":"2026-05-17T23:42:26Z","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":"a206d1ef778006912077c5011347d8c56a963e8ee677807eec477c4a740c61be","cross_cats_sorted":["nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-11-22T01:55:15Z","title_canon_sha256":"68c774d57ddbe51bd8f41a89e9480cd8f72a46b9c79c117eff294008dcbcaded"},"schema_version":"1.0","source":{"id":"1811.08991","kind":"arxiv","version":3}},"canonical_sha256":"5ad3e2c7a942775f78d21a61b48d54da609765940f2c0d5ae233936b56ba78ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ad3e2c7a942775f78d21a61b48d54da609765940f2c0d5ae233936b56ba78ba","first_computed_at":"2026-05-17T23:42:26.323691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:26.323691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kfBj0EIiINY3qsh7e/r0i0iIjNyRMZ2YAPtxE9J+X5cspcbMOtpWEFYGFBCI7pmaG99ns9nsRPzpzhY8KZAcDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:26.324251Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.08991","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:124e335e02f231cc19c79d5962ab28b074b622af15ab1671687231ff8b4230ad","sha256:4dbe91ada25b9c359406961317e3f18b3af3abe30fc97f6d21faaf81f26ecfda"],"state_sha256":"8808ed83ad4fc096e1ebfc3178eefd862373c5129a29d73b7786e077fd4fc583"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SqbRJJ//eHLxrbf5mXIgYtqOKTFG1skSMmTx0rQ3tenSIEMVMDxlnccV6LVe2QkNrsAVsk3Ue7dLmXrdiWpUBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T00:47:20.124181Z","bundle_sha256":"1080fca05fbbfe5cf5ae76c419b393ac2075e894bf450d198108e841034dce17"}}