{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2UOKE4P2BEFQ3HNGUAFQZR5CI6","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":"13ae20a7fd5475c29f2ed4ac7ddd69571321eeb579c5cd043716699b3c1954bf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-30T18:38:15Z","title_canon_sha256":"e0b287e04dd916ec9ce4116a4ac51833f7f1bd4401293e6eca7c4d360974134b"},"schema_version":"1.0","source":{"id":"2501.18566","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.18566","created_at":"2026-07-05T11:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"2501.18566v2","created_at":"2026-07-05T11:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.18566","created_at":"2026-07-05T11:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"2UOKE4P2BEFQ","created_at":"2026-07-05T11:00:41Z"},{"alias_kind":"pith_short_16","alias_value":"2UOKE4P2BEFQ3HNG","created_at":"2026-07-05T11:00:41Z"},{"alias_kind":"pith_short_8","alias_value":"2UOKE4P2","created_at":"2026-07-05T11:00:41Z"}],"graph_snapshots":[{"event_id":"sha256:b6e80fe5f6247c3ad1e0df2ec90ff2c02e58b332d2d200697a31e95cacb97ac7","target":"graph","created_at":"2026-07-05T11:00:41Z","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/2501.18566/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that large Boltzmann stable planar maps of index $\\alpha \\in (1;2)$ converge in the scaling limit towards a random compact metric space $\\mathcal{S}_{\\alpha}$ that we construct explicitly. They form a one-parameter family of random continuous spaces ``with holes'' or ``faces'' different from the Brownian sphere. In the so-called dilute phase $\\alpha \\in [3/2;2)$, the topology of $\\mathcal{S}_{\\alpha}$ is that of the Sierpinski carpet, while in the dense phase $\\alpha \\in (1;3/2)$ the ``faces'' of $\\mathcal{S}_{\\alpha}$ may touch each-others. En route, we prove various geometric proper","authors_text":"Armand Riera, Gr\\'egory Miermont, Nicolas Curien","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-30T18:38:15Z","title":"The scaling limit of planar maps with large faces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.18566","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":"sha256:52c7e02d67ff82e630e6f6e980558dd937c4bec383a8418971713531f5a6b36e","target":"record","created_at":"2026-07-05T11:00:41Z","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":"13ae20a7fd5475c29f2ed4ac7ddd69571321eeb579c5cd043716699b3c1954bf","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2025-01-30T18:38:15Z","title_canon_sha256":"e0b287e04dd916ec9ce4116a4ac51833f7f1bd4401293e6eca7c4d360974134b"},"schema_version":"1.0","source":{"id":"2501.18566","kind":"arxiv","version":2}},"canonical_sha256":"d51ca271fa090b0d9da6a00b0cc7a2478493e849445caa937ba18cba5dd104be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d51ca271fa090b0d9da6a00b0cc7a2478493e849445caa937ba18cba5dd104be","first_computed_at":"2026-07-05T11:00:41.877693Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:00:41.877693Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ckPA0MaZc0LgRqY5X/1cYd2t0M0xf+t16NDVqTvrC0OfoB/wSLur+yC4FlNedPvEBKRXCWleodU9lWPDp+hRAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:00:41.878224Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.18566","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52c7e02d67ff82e630e6f6e980558dd937c4bec383a8418971713531f5a6b36e","sha256:b6e80fe5f6247c3ad1e0df2ec90ff2c02e58b332d2d200697a31e95cacb97ac7"],"state_sha256":"e282f8818696935da6ac732cd37f3c2cea1d84fbce295dfc9ef276a195fa3fa9"}