{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:ERZIMEU5ORB6GNGCZIZUQMRZAU","short_pith_number":"pith:ERZIMEU5","schema_version":"1.0","canonical_sha256":"247286129d7443e334c2ca334832390503fe3cae56515a23f705a3758c342d4d","source":{"kind":"arxiv","id":"math/0407229","version":2},"attestation_state":"computed","paper":{"title":"Coxeter Complexes and Graph-Associahedra","license":"","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.QA","authors_text":"Michael Carr, Satyan L. Devadoss","submitted_at":"2004-07-13T20:32:23Z","abstract_excerpt":"Given a graph G, we construct a simple, convex polytope whose face poset is based on the connected subgraphs of G. This provides a natural generalization of the Stasheff associahedron and the Bott-Taubes cyclohedron. Moreover, we show that for any simplicial Coxeter system, the minimal blow-ups of its associated Coxeter complex has a tiling by graph-associahedra. The geometric and combinatorial properties of the complex as well as of the polyhedra are given. These spaces are natural generalizations of the Deligne-Knudsen-Mumford compactification of the real moduli space of curves."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0407229","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.QA","submitted_at":"2004-07-13T20:32:23Z","cross_cats_sorted":["math.AG","math.CO"],"title_canon_sha256":"334b484ae58cb8865d14ecf6a8186db3c034f9dc8ae9628c8aca3973cde18a89","abstract_canon_sha256":"4abf7077640149cac29cec156b7dda450a1b84ea54b7ce83f6af2cffde7f2656"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:50:06.393416Z","signature_b64":"yxaK1aMHvAhYRpEkc5XP8lkGassj8x5+UGR6FDQKl80zKnae3P8YyFTzpYnp4qr/MdSaE6zKAHLm89NKZhZJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"247286129d7443e334c2ca334832390503fe3cae56515a23f705a3758c342d4d","last_reissued_at":"2026-07-04T14:50:06.392979Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:50:06.392979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coxeter Complexes and Graph-Associahedra","license":"","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.QA","authors_text":"Michael Carr, Satyan L. Devadoss","submitted_at":"2004-07-13T20:32:23Z","abstract_excerpt":"Given a graph G, we construct a simple, convex polytope whose face poset is based on the connected subgraphs of G. This provides a natural generalization of the Stasheff associahedron and the Bott-Taubes cyclohedron. Moreover, we show that for any simplicial Coxeter system, the minimal blow-ups of its associated Coxeter complex has a tiling by graph-associahedra. The geometric and combinatorial properties of the complex as well as of the polyhedra are given. These spaces are natural generalizations of the Deligne-Knudsen-Mumford compactification of the real moduli space of curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0407229","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0407229/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0407229","created_at":"2026-07-04T14:50:06.393056+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0407229v2","created_at":"2026-07-04T14:50:06.393056+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0407229","created_at":"2026-07-04T14:50:06.393056+00:00"},{"alias_kind":"pith_short_12","alias_value":"ERZIMEU5ORB6","created_at":"2026-07-04T14:50:06.393056+00:00"},{"alias_kind":"pith_short_16","alias_value":"ERZIMEU5ORB6GNGC","created_at":"2026-07-04T14:50:06.393056+00:00"},{"alias_kind":"pith_short_8","alias_value":"ERZIMEU5","created_at":"2026-07-04T14:50:06.393056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.30797","citing_title":"A Boolean-Lattice Perspective for All-Loop Two-Site Cosmological Wavefunction","ref_index":33,"is_internal_anchor":true},{"citing_arxiv_id":"2604.08658","citing_title":"Differential Equations for Massive Correlators","ref_index":48,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU","json":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU.json","graph_json":"https://pith.science/api/pith-number/ERZIMEU5ORB6GNGCZIZUQMRZAU/graph.json","events_json":"https://pith.science/api/pith-number/ERZIMEU5ORB6GNGCZIZUQMRZAU/events.json","paper":"https://pith.science/paper/ERZIMEU5"},"agent_actions":{"view_html":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU","download_json":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU.json","view_paper":"https://pith.science/paper/ERZIMEU5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0407229&json=true","fetch_graph":"https://pith.science/api/pith-number/ERZIMEU5ORB6GNGCZIZUQMRZAU/graph.json","fetch_events":"https://pith.science/api/pith-number/ERZIMEU5ORB6GNGCZIZUQMRZAU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU/action/storage_attestation","attest_author":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU/action/author_attestation","sign_citation":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU/action/citation_signature","submit_replication":"https://pith.science/pith/ERZIMEU5ORB6GNGCZIZUQMRZAU/action/replication_record"}},"created_at":"2026-07-04T14:50:06.393056+00:00","updated_at":"2026-07-04T14:50:06.393056+00:00"}