{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:U7IITFKYKYBQMIIAP2IVUJ3U3Y","short_pith_number":"pith:U7IITFKY","schema_version":"1.0","canonical_sha256":"a7d089955856030621007e915a2774de03c6d84e045bd08ec3b7f89461386166","source":{"kind":"arxiv","id":"1710.10524","version":1},"attestation_state":"computed","paper":{"title":"Interlacement and Activities in Delta-Matroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ada Morse","submitted_at":"2017-10-28T20:06:14Z","abstract_excerpt":"We generalize theories of graph, matroid, and ribbon-graph activities to delta-matroids. As a result, we obtain an activities based feasible-set expansion for a transition polynomial of delta-matroids defined by Brijder and Hoogeboom. This result yields feasible-set expansions for the two-variable Bollob\\'{a}s-Riordan and interlace polynomials of a delta-matroid. In the former case, the expansion obtained directly generalizes the activities expansions of the Tutte polynomial of graphs and matroids."},"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":"1710.10524","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-28T20:06:14Z","cross_cats_sorted":[],"title_canon_sha256":"b2d2b8e68e22925425c4753e4de95dd8ffb1c0a28c2c9870fdfa4b0aaed3b964","abstract_canon_sha256":"948a665e48eeb0bf3b77350837abf61aef79f9e82b7d60b45de1f53dbfd80408"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:49.283714Z","signature_b64":"KYcUOFUmc41Uda/ch6RqLLNXaA3CtncDPis3sfmNH4cgNna679VN7R9B6bpnwoBPefJ8dmgY242JCQPLI+15Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7d089955856030621007e915a2774de03c6d84e045bd08ec3b7f89461386166","last_reissued_at":"2026-05-18T00:31:49.283024Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:49.283024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Interlacement and Activities in Delta-Matroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Ada Morse","submitted_at":"2017-10-28T20:06:14Z","abstract_excerpt":"We generalize theories of graph, matroid, and ribbon-graph activities to delta-matroids. As a result, we obtain an activities based feasible-set expansion for a transition polynomial of delta-matroids defined by Brijder and Hoogeboom. This result yields feasible-set expansions for the two-variable Bollob\\'{a}s-Riordan and interlace polynomials of a delta-matroid. In the former case, the expansion obtained directly generalizes the activities expansions of the Tutte polynomial of graphs and matroids."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.10524","kind":"arxiv","version":1},"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":"1710.10524","created_at":"2026-05-18T00:31:49.283110+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.10524v1","created_at":"2026-05-18T00:31:49.283110+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.10524","created_at":"2026-05-18T00:31:49.283110+00:00"},{"alias_kind":"pith_short_12","alias_value":"U7IITFKYKYBQ","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_16","alias_value":"U7IITFKYKYBQMIIA","created_at":"2026-05-18T12:31:46.661854+00:00"},{"alias_kind":"pith_short_8","alias_value":"U7IITFKY","created_at":"2026-05-18T12:31:46.661854+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/U7IITFKYKYBQMIIAP2IVUJ3U3Y","json":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y.json","graph_json":"https://pith.science/api/pith-number/U7IITFKYKYBQMIIAP2IVUJ3U3Y/graph.json","events_json":"https://pith.science/api/pith-number/U7IITFKYKYBQMIIAP2IVUJ3U3Y/events.json","paper":"https://pith.science/paper/U7IITFKY"},"agent_actions":{"view_html":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y","download_json":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y.json","view_paper":"https://pith.science/paper/U7IITFKY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.10524&json=true","fetch_graph":"https://pith.science/api/pith-number/U7IITFKYKYBQMIIAP2IVUJ3U3Y/graph.json","fetch_events":"https://pith.science/api/pith-number/U7IITFKYKYBQMIIAP2IVUJ3U3Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y/action/storage_attestation","attest_author":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y/action/author_attestation","sign_citation":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y/action/citation_signature","submit_replication":"https://pith.science/pith/U7IITFKYKYBQMIIAP2IVUJ3U3Y/action/replication_record"}},"created_at":"2026-05-18T00:31:49.283110+00:00","updated_at":"2026-05-18T00:31:49.283110+00:00"}