{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:TXYFHYGRG5DNXFQVEXWPFK7DOL","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":"fadf8a1bdb5c195c83a29ec4340f5e532650c7ef30cadecd28e4dafcaac79122","cross_cats_sorted":["cs.CL","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T16:06:21Z","title_canon_sha256":"1b71a620a6a68785d3eb93964c08494e3f99cb8b6c4e557de48b0ad23bb706cb"},"schema_version":"1.0","source":{"id":"1212.1362","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1362","created_at":"2026-05-18T03:25:43Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1362v3","created_at":"2026-05-18T03:25:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1362","created_at":"2026-05-18T03:25:43Z"},{"alias_kind":"pith_short_12","alias_value":"TXYFHYGRG5DN","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_16","alias_value":"TXYFHYGRG5DNXFQV","created_at":"2026-05-18T12:27:23Z"},{"alias_kind":"pith_short_8","alias_value":"TXYFHYGR","created_at":"2026-05-18T12:27:23Z"}],"graph_snapshots":[{"event_id":"sha256:e5dfd095fa81282c33cc5dab343fe76a7699b1e861c82adaf5f8997c9852a3a3","target":"graph","created_at":"2026-05-18T03:25:43Z","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 propose a stochastic model for the number of different words in a given database which incorporates the dependence on the database size and historical changes. The main feature of our model is the existence of two different classes of words: (i) a finite number of core-words which have higher frequency and do not affect the probability of a new word to be used; and (ii) the remaining virtually infinite number of noncore-words which have lower frequency and once used reduce the probability of a new word to be used in the future. Our model relies on a careful analysis of the google-ngram data","authors_text":"Eduardo G. Altmann, Martin Gerlach","cross_cats":["cs.CL","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T16:06:21Z","title":"Stochastic model for the vocabulary growth in natural languages"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1362","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":"sha256:7a5165eee8e2378652ca7ed2ba83d01c2d5968fd334ce6905ce4710fce0d06bd","target":"record","created_at":"2026-05-18T03:25:43Z","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":"fadf8a1bdb5c195c83a29ec4340f5e532650c7ef30cadecd28e4dafcaac79122","cross_cats_sorted":["cs.CL","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-12-06T16:06:21Z","title_canon_sha256":"1b71a620a6a68785d3eb93964c08494e3f99cb8b6c4e557de48b0ad23bb706cb"},"schema_version":"1.0","source":{"id":"1212.1362","kind":"arxiv","version":3}},"canonical_sha256":"9df053e0d13746db961525ecf2abe372fc42a943064be16e14704551a4d68f6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9df053e0d13746db961525ecf2abe372fc42a943064be16e14704551a4d68f6c","first_computed_at":"2026-05-18T03:25:43.515933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:43.515933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VzVaEr8GGeHiZKVNmWVQNNsnUjJlIq0hAwbBf0tDVjei1zG4HkrEAR4W+TtmDmUZ9cnBMlsZV2Prec9RSj4TBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:43.516765Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1362","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a5165eee8e2378652ca7ed2ba83d01c2d5968fd334ce6905ce4710fce0d06bd","sha256:e5dfd095fa81282c33cc5dab343fe76a7699b1e861c82adaf5f8997c9852a3a3"],"state_sha256":"fbf994c1a1feddfff7c5f7c9e8144bcd1b44e5c59db2090af1771ff88388cf95"}