{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6XTMDWBQ7NRNO2GYOZ4N4JQIAW","short_pith_number":"pith:6XTMDWBQ","canonical_record":{"source":{"id":"1308.6075","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-08-28T07:41:16Z","cross_cats_sorted":["cs.SI","physics.data-an"],"title_canon_sha256":"02c58e924468ecba738f6ab81eb740314ded9c475db65edfa17aba7246178160","abstract_canon_sha256":"5cac0e979792563e8d62d1008ef952e7221b3e63cbed3ac6509d9e3a1791d9cb"},"schema_version":"1.0"},"canonical_sha256":"f5e6c1d830fb62d768d87678de260805b069234cf8d80c1302cfcd4338ba91c3","source":{"kind":"arxiv","id":"1308.6075","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6075","created_at":"2026-05-18T03:14:49Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6075v1","created_at":"2026-05-18T03:14:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6075","created_at":"2026-05-18T03:14:49Z"},{"alias_kind":"pith_short_12","alias_value":"6XTMDWBQ7NRN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6XTMDWBQ7NRNO2GY","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6XTMDWBQ","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6XTMDWBQ7NRNO2GYOZ4N4JQIAW","target":"record","payload":{"canonical_record":{"source":{"id":"1308.6075","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-08-28T07:41:16Z","cross_cats_sorted":["cs.SI","physics.data-an"],"title_canon_sha256":"02c58e924468ecba738f6ab81eb740314ded9c475db65edfa17aba7246178160","abstract_canon_sha256":"5cac0e979792563e8d62d1008ef952e7221b3e63cbed3ac6509d9e3a1791d9cb"},"schema_version":"1.0"},"canonical_sha256":"f5e6c1d830fb62d768d87678de260805b069234cf8d80c1302cfcd4338ba91c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:49.121467Z","signature_b64":"kTQ29VRmZ7Icu8iVGEAONVphsQlTKG3VW81XpMa/5RkzIno2I0TvrpTicpwvkiEnV8OrICPK9E2xusykIeP5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5e6c1d830fb62d768d87678de260805b069234cf8d80c1302cfcd4338ba91c3","last_reissued_at":"2026-05-18T03:14:49.120736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:49.120736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.6075","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":"2026-05-18T03:14:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xXbsN3h2NYSdIzc1se+UOaDjCzGJjyB29QFQbulaSvYEi7OibXb2iULpMWKQwCFd11NyeRsHjz/ltupLTXCjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:55:51.769663Z"},"content_sha256":"435939e9a8bab9a60b8a03a1e843d19762317f8ea440d017300d81395766e2ea","schema_version":"1.0","event_id":"sha256:435939e9a8bab9a60b8a03a1e843d19762317f8ea440d017300d81395766e2ea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6XTMDWBQ7NRNO2GYOZ4N4JQIAW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Measuring the dimension of partially embedded networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.data-an"],"primary_cat":"physics.soc-ph","authors_text":"D\\'aniel Kondor, G\\'abor Vattay, Istv\\'an Csabai, P\\'eter M\\'atray","submitted_at":"2013-08-28T07:41:16Z","abstract_excerpt":"Scaling phenomena have been intensively studied during the past decade in the context of complex networks. As part of these works, recently novel methods have appeared to measure the dimension of abstract and spatially embedded networks. In this paper we propose a new dimension measurement method for networks, which does not require global knowledge on the embedding of the nodes, instead it exploits link-wise information (link lengths, link delays or other physical quantities). Our method can be regarded as a generalization of the spectral dimension, that grasps the network's large-scale struc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6075","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":"2026-05-18T03:14:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QQfLdLMyqnphmFtVssUp38m4nY86D1u8zkdIzW0rwrWeSwEnUUBF0k2c1MalbViSZ7fUofx8Iv+JCXb5hPUcCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T17:55:51.770000Z"},"content_sha256":"0a0d5cbd706daed6718b41e592ebf6569809a063f480cc781983b45f1b1206a7","schema_version":"1.0","event_id":"sha256:0a0d5cbd706daed6718b41e592ebf6569809a063f480cc781983b45f1b1206a7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6XTMDWBQ7NRNO2GYOZ4N4JQIAW/bundle.json","state_url":"https://pith.science/pith/6XTMDWBQ7NRNO2GYOZ4N4JQIAW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6XTMDWBQ7NRNO2GYOZ4N4JQIAW/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":"2026-06-27T17:55:51Z","links":{"resolver":"https://pith.science/pith/6XTMDWBQ7NRNO2GYOZ4N4JQIAW","bundle":"https://pith.science/pith/6XTMDWBQ7NRNO2GYOZ4N4JQIAW/bundle.json","state":"https://pith.science/pith/6XTMDWBQ7NRNO2GYOZ4N4JQIAW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6XTMDWBQ7NRNO2GYOZ4N4JQIAW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6XTMDWBQ7NRNO2GYOZ4N4JQIAW","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":"5cac0e979792563e8d62d1008ef952e7221b3e63cbed3ac6509d9e3a1791d9cb","cross_cats_sorted":["cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-08-28T07:41:16Z","title_canon_sha256":"02c58e924468ecba738f6ab81eb740314ded9c475db65edfa17aba7246178160"},"schema_version":"1.0","source":{"id":"1308.6075","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6075","created_at":"2026-05-18T03:14:49Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6075v1","created_at":"2026-05-18T03:14:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6075","created_at":"2026-05-18T03:14:49Z"},{"alias_kind":"pith_short_12","alias_value":"6XTMDWBQ7NRN","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6XTMDWBQ7NRNO2GY","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6XTMDWBQ","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:0a0d5cbd706daed6718b41e592ebf6569809a063f480cc781983b45f1b1206a7","target":"graph","created_at":"2026-05-18T03:14:49Z","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":"Scaling phenomena have been intensively studied during the past decade in the context of complex networks. As part of these works, recently novel methods have appeared to measure the dimension of abstract and spatially embedded networks. In this paper we propose a new dimension measurement method for networks, which does not require global knowledge on the embedding of the nodes, instead it exploits link-wise information (link lengths, link delays or other physical quantities). Our method can be regarded as a generalization of the spectral dimension, that grasps the network's large-scale struc","authors_text":"D\\'aniel Kondor, G\\'abor Vattay, Istv\\'an Csabai, P\\'eter M\\'atray","cross_cats":["cs.SI","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-08-28T07:41:16Z","title":"Measuring the dimension of partially embedded networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6075","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":"sha256:435939e9a8bab9a60b8a03a1e843d19762317f8ea440d017300d81395766e2ea","target":"record","created_at":"2026-05-18T03:14:49Z","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":"5cac0e979792563e8d62d1008ef952e7221b3e63cbed3ac6509d9e3a1791d9cb","cross_cats_sorted":["cs.SI","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-08-28T07:41:16Z","title_canon_sha256":"02c58e924468ecba738f6ab81eb740314ded9c475db65edfa17aba7246178160"},"schema_version":"1.0","source":{"id":"1308.6075","kind":"arxiv","version":1}},"canonical_sha256":"f5e6c1d830fb62d768d87678de260805b069234cf8d80c1302cfcd4338ba91c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f5e6c1d830fb62d768d87678de260805b069234cf8d80c1302cfcd4338ba91c3","first_computed_at":"2026-05-18T03:14:49.120736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:14:49.120736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kTQ29VRmZ7Icu8iVGEAONVphsQlTKG3VW81XpMa/5RkzIno2I0TvrpTicpwvkiEnV8OrICPK9E2xusykIeP5BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:14:49.121467Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6075","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:435939e9a8bab9a60b8a03a1e843d19762317f8ea440d017300d81395766e2ea","sha256:0a0d5cbd706daed6718b41e592ebf6569809a063f480cc781983b45f1b1206a7"],"state_sha256":"833ea9145e68ff37686cf12db8b1b87fefa50c3ff19f749b178d5fdf11cb307b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CCBSlAp5zN48UYdFNUyM+xXfZlOSGFRVp6Xhk+uXda/7vtNZU1hsRUYrVnqLbNEa1ML+81frcGC8KRYu5ENNBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T17:55:51.771826Z","bundle_sha256":"03f10e11d3d53366157d17530dd46d287f6c27aebdcc2927fb3ee7a89b74d908"}}