{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HCZEV6XXTJQY7KNSK3GWW5HDVU","short_pith_number":"pith:HCZEV6XX","schema_version":"1.0","canonical_sha256":"38b24afaf79a618fa9b256cd6b74e3ad31e88eb866c2e63d5f15b3bb73d2cfc9","source":{"kind":"arxiv","id":"1908.11231","version":2},"attestation_state":"computed","paper":{"title":"Independence Polynomials and Hypergeometric Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Danylo Radchenko, Fernando Rodriguez Villegas","submitted_at":"2019-08-29T13:54:23Z","abstract_excerpt":"Let $\\Gamma$ be a simple graph and $I_\\Gamma(x)$ its multivariate independence polynomial. The main result of this paper is the characterization of chordal graphs as the only $\\Gamma$ for which the power series expansion of $I_\\Gamma^{-1}(x)$ is Horn hypergeometric."},"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":"1908.11231","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-08-29T13:54:23Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"5dd31d4ce60c6a9821ec0aae0d7ad85c8f54e1594f1c07fba0327055a4451b59","abstract_canon_sha256":"5f1af46407c4e254a60a8a897543376038ae02ca7295bcb113420d30dbda20a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:33:35.360569Z","signature_b64":"aHywAI9IvSWmCutZXi5aE0vUCQor82ZiIUZb7CO2t7uI6FPE9/IEvgVSjecZYw8nhJfeTP6P9oOonGArTVpiCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"38b24afaf79a618fa9b256cd6b74e3ad31e88eb866c2e63d5f15b3bb73d2cfc9","last_reissued_at":"2026-07-05T00:33:35.360174Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:33:35.360174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Independence Polynomials and Hypergeometric Series","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"math.AG","authors_text":"Danylo Radchenko, Fernando Rodriguez Villegas","submitted_at":"2019-08-29T13:54:23Z","abstract_excerpt":"Let $\\Gamma$ be a simple graph and $I_\\Gamma(x)$ its multivariate independence polynomial. The main result of this paper is the characterization of chordal graphs as the only $\\Gamma$ for which the power series expansion of $I_\\Gamma^{-1}(x)$ is Horn hypergeometric."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.11231","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/1908.11231/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":"1908.11231","created_at":"2026-07-05T00:33:35.360233+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.11231v2","created_at":"2026-07-05T00:33:35.360233+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.11231","created_at":"2026-07-05T00:33:35.360233+00:00"},{"alias_kind":"pith_short_12","alias_value":"HCZEV6XXTJQY","created_at":"2026-07-05T00:33:35.360233+00:00"},{"alias_kind":"pith_short_16","alias_value":"HCZEV6XXTJQY7KNS","created_at":"2026-07-05T00:33:35.360233+00:00"},{"alias_kind":"pith_short_8","alias_value":"HCZEV6XX","created_at":"2026-07-05T00:33:35.360233+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/HCZEV6XXTJQY7KNSK3GWW5HDVU","json":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU.json","graph_json":"https://pith.science/api/pith-number/HCZEV6XXTJQY7KNSK3GWW5HDVU/graph.json","events_json":"https://pith.science/api/pith-number/HCZEV6XXTJQY7KNSK3GWW5HDVU/events.json","paper":"https://pith.science/paper/HCZEV6XX"},"agent_actions":{"view_html":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU","download_json":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU.json","view_paper":"https://pith.science/paper/HCZEV6XX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.11231&json=true","fetch_graph":"https://pith.science/api/pith-number/HCZEV6XXTJQY7KNSK3GWW5HDVU/graph.json","fetch_events":"https://pith.science/api/pith-number/HCZEV6XXTJQY7KNSK3GWW5HDVU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU/action/storage_attestation","attest_author":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU/action/author_attestation","sign_citation":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU/action/citation_signature","submit_replication":"https://pith.science/pith/HCZEV6XXTJQY7KNSK3GWW5HDVU/action/replication_record"}},"created_at":"2026-07-05T00:33:35.360233+00:00","updated_at":"2026-07-05T00:33:35.360233+00:00"}