{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:R473FRPAFMMOBIRYLAWSFZP2YP","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":"7dc7b7135fcb26bb9ccdaeb33bfa5255d7220c23506d2a19af939eeea0070924","cross_cats_sorted":["cond-mat.dis-nn","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-08-30T06:21:04Z","title_canon_sha256":"fee31f8a36159a5552a1de3909e97440c57b2c818bbd47e2076fb32ab7fd5e62"},"schema_version":"1.0","source":{"id":"1908.11549","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.11549","created_at":"2026-07-05T00:12:05Z"},{"alias_kind":"arxiv_version","alias_value":"1908.11549v2","created_at":"2026-07-05T00:12:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.11549","created_at":"2026-07-05T00:12:05Z"},{"alias_kind":"pith_short_12","alias_value":"R473FRPAFMMO","created_at":"2026-07-05T00:12:05Z"},{"alias_kind":"pith_short_16","alias_value":"R473FRPAFMMOBIRY","created_at":"2026-07-05T00:12:05Z"},{"alias_kind":"pith_short_8","alias_value":"R473FRPA","created_at":"2026-07-05T00:12:05Z"}],"graph_snapshots":[{"event_id":"sha256:03ed5928aeadbf9c960fc3194fd4dae76f683991feecb662e349adfba2ebd232","target":"graph","created_at":"2026-07-05T00:12:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1908.11549/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Scaling describes how a given quantity $Y$ that characterizes a system varies with its size $P$. For most complex systems it is of the form $Y\\sim P^\\beta$ with a nontrivial value of the exponent $\\beta$, usually determined by regression methods. The presence of noise can make it difficult to conclude about the existence of a non-linear behavior with $\\beta\\neq 1$ and we propose here to circumvent fitting problems by investigating how two different systems of sizes $P_1$ and $P_2$ are related to each other. This leads us to define a local scaling exponent $\\beta_{\\mathrm{loc}}$ that we study v","authors_text":"Marc Barthelemy","cross_cats":["cond-mat.dis-nn","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-08-30T06:21:04Z","title":"Tomography of scaling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11549","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:e3620c468be1c15b96b19fbf00ef172b4695a88203370908739d4ba1009aad48","target":"record","created_at":"2026-07-05T00:12:05Z","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":"7dc7b7135fcb26bb9ccdaeb33bfa5255d7220c23506d2a19af939eeea0070924","cross_cats_sorted":["cond-mat.dis-nn","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-08-30T06:21:04Z","title_canon_sha256":"fee31f8a36159a5552a1de3909e97440c57b2c818bbd47e2076fb32ab7fd5e62"},"schema_version":"1.0","source":{"id":"1908.11549","kind":"arxiv","version":2}},"canonical_sha256":"8f3fb2c5e02b18e0a238582d22e5fac3f7f03cf0add1e259e52380f7c5cdb983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f3fb2c5e02b18e0a238582d22e5fac3f7f03cf0add1e259e52380f7c5cdb983","first_computed_at":"2026-07-05T00:12:05.963698Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:12:05.963698Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IG11/8Jsn4Gs36KR5h6T214+NbKEw/+/Tb2dBf9TaFLXxUj94W5yTsO1iojSIjhLEeXqBuSPFD+eZFic0QCtBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:12:05.964149Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.11549","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3620c468be1c15b96b19fbf00ef172b4695a88203370908739d4ba1009aad48","sha256:03ed5928aeadbf9c960fc3194fd4dae76f683991feecb662e349adfba2ebd232"],"state_sha256":"1321eeb552c08c78161015e798d2dbb81cad5ce16100ec16c985032440962503"}