{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:HR7Q6E47CBD5P4LVEIPX27E5NG","short_pith_number":"pith:HR7Q6E47","schema_version":"1.0","canonical_sha256":"3c7f0f139f1047d7f175221f7d7c9d69b545be28f38ad2a5bd79c6adaacbcae5","source":{"kind":"arxiv","id":"1512.08411","version":2},"attestation_state":"computed","paper":{"title":"Webs of stars or how to triangulate free sums of point configurations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Benjamin Assarf, Julian Pfeifle, Michael Joswig","submitted_at":"2015-12-28T13:44:33Z","abstract_excerpt":"The triangulations of point configurations which decompose as a free sum are classified in terms of the triangulations of the summands. The methods employ two new kinds of partially ordered sets to be associated with any triangulation of a point set with one point marked, the \"web of stars\" and the \"stabbing poset\". Triangulations of smooth Fano polytopes are discussed as a case study."},"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":"1512.08411","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-12-28T13:44:33Z","cross_cats_sorted":[],"title_canon_sha256":"d5a2e58a43ce86d0ff4f2d8ffb23ce8bdefde3342af0deaa7424f44d098ae50a","abstract_canon_sha256":"23c1cf46709b671caa7cfd72bc1d39238761d1e842b0d0634e6e01e2ede0961a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:13.883727Z","signature_b64":"/PjE/3ZgwjDgiWby+Kr2gxLSLG26iAUvqAPGkcQTbJePBONS//3m+itdmxm4CbMIw2jimGp2POc3Q3PnF0dQBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c7f0f139f1047d7f175221f7d7c9d69b545be28f38ad2a5bd79c6adaacbcae5","last_reissued_at":"2026-05-18T00:02:13.883045Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:13.883045Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Webs of stars or how to triangulate free sums of point configurations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Benjamin Assarf, Julian Pfeifle, Michael Joswig","submitted_at":"2015-12-28T13:44:33Z","abstract_excerpt":"The triangulations of point configurations which decompose as a free sum are classified in terms of the triangulations of the summands. The methods employ two new kinds of partially ordered sets to be associated with any triangulation of a point set with one point marked, the \"web of stars\" and the \"stabbing poset\". Triangulations of smooth Fano polytopes are discussed as a case study."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08411","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":""},"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":"1512.08411","created_at":"2026-05-18T00:02:13.883144+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.08411v2","created_at":"2026-05-18T00:02:13.883144+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08411","created_at":"2026-05-18T00:02:13.883144+00:00"},{"alias_kind":"pith_short_12","alias_value":"HR7Q6E47CBD5","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"HR7Q6E47CBD5P4LV","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"HR7Q6E47","created_at":"2026-05-18T12:29:25.134429+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG","json":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG.json","graph_json":"https://pith.science/api/pith-number/HR7Q6E47CBD5P4LVEIPX27E5NG/graph.json","events_json":"https://pith.science/api/pith-number/HR7Q6E47CBD5P4LVEIPX27E5NG/events.json","paper":"https://pith.science/paper/HR7Q6E47"},"agent_actions":{"view_html":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG","download_json":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG.json","view_paper":"https://pith.science/paper/HR7Q6E47","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.08411&json=true","fetch_graph":"https://pith.science/api/pith-number/HR7Q6E47CBD5P4LVEIPX27E5NG/graph.json","fetch_events":"https://pith.science/api/pith-number/HR7Q6E47CBD5P4LVEIPX27E5NG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG/action/storage_attestation","attest_author":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG/action/author_attestation","sign_citation":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG/action/citation_signature","submit_replication":"https://pith.science/pith/HR7Q6E47CBD5P4LVEIPX27E5NG/action/replication_record"}},"created_at":"2026-05-18T00:02:13.883144+00:00","updated_at":"2026-05-18T00:02:13.883144+00:00"}