{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EX6N5ZIWC7UWR5N3A4FUZBYA7P","short_pith_number":"pith:EX6N5ZIW","schema_version":"1.0","canonical_sha256":"25fcdee51617e968f5bb070b4c8700fbdf95ad62bc62c0e323a5b1d653491589","source":{"kind":"arxiv","id":"1710.00098","version":1},"attestation_state":"computed","paper":{"title":"A Compositional Framework for Bond Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Brandon Coya","submitted_at":"2017-09-29T21:27:24Z","abstract_excerpt":"Electrical circuits made only of perfectly conductive wires can be seen as partitions between finite sets. These are also known as \"corelations\" and are the morphisms in the category $\\mathrm{FinCorel}$. The two-element set has two different Frobenius monoid structures in $\\mathrm{FinCorel}$. These two Frobenius monoids are related to \"series\" and \"parallel\" junctions, which are used to connect pairs of wires. We show that these Frobenius monoids interact to form a \"weak bimonoid\" as defined by Pastro and Street. We conjecture a presentation for the subcategory of $\\mathrm{FinCorel}$ generated"},"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":"1710.00098","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2017-09-29T21:27:24Z","cross_cats_sorted":[],"title_canon_sha256":"cd6951e3214598e28d594638b89a1a8a02716f0fe750f548bde063daec7571ed","abstract_canon_sha256":"8596d349455ba6c36eea8934942c97dfefe1044254163aa2e7da938282a3fa59"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:57.911134Z","signature_b64":"v6lX0H57JWumHG0g67gog/ecWBFYoDGWUyw+HRSnG6Tuvzd2ffCOn8l8cFC/LDn8sLfGMO09MLq8C6faRY73CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25fcdee51617e968f5bb070b4c8700fbdf95ad62bc62c0e323a5b1d653491589","last_reissued_at":"2026-05-18T00:33:57.910518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:57.910518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Compositional Framework for Bond Graphs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CT","authors_text":"Brandon Coya","submitted_at":"2017-09-29T21:27:24Z","abstract_excerpt":"Electrical circuits made only of perfectly conductive wires can be seen as partitions between finite sets. These are also known as \"corelations\" and are the morphisms in the category $\\mathrm{FinCorel}$. The two-element set has two different Frobenius monoid structures in $\\mathrm{FinCorel}$. These two Frobenius monoids are related to \"series\" and \"parallel\" junctions, which are used to connect pairs of wires. We show that these Frobenius monoids interact to form a \"weak bimonoid\" as defined by Pastro and Street. We conjecture a presentation for the subcategory of $\\mathrm{FinCorel}$ generated"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.00098","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":"1710.00098","created_at":"2026-05-18T00:33:57.910603+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.00098v1","created_at":"2026-05-18T00:33:57.910603+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.00098","created_at":"2026-05-18T00:33:57.910603+00:00"},{"alias_kind":"pith_short_12","alias_value":"EX6N5ZIWC7UW","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EX6N5ZIWC7UWR5N3","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EX6N5ZIW","created_at":"2026-05-18T12:31:12.930513+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/EX6N5ZIWC7UWR5N3A4FUZBYA7P","json":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P.json","graph_json":"https://pith.science/api/pith-number/EX6N5ZIWC7UWR5N3A4FUZBYA7P/graph.json","events_json":"https://pith.science/api/pith-number/EX6N5ZIWC7UWR5N3A4FUZBYA7P/events.json","paper":"https://pith.science/paper/EX6N5ZIW"},"agent_actions":{"view_html":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P","download_json":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P.json","view_paper":"https://pith.science/paper/EX6N5ZIW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.00098&json=true","fetch_graph":"https://pith.science/api/pith-number/EX6N5ZIWC7UWR5N3A4FUZBYA7P/graph.json","fetch_events":"https://pith.science/api/pith-number/EX6N5ZIWC7UWR5N3A4FUZBYA7P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P/action/storage_attestation","attest_author":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P/action/author_attestation","sign_citation":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P/action/citation_signature","submit_replication":"https://pith.science/pith/EX6N5ZIWC7UWR5N3A4FUZBYA7P/action/replication_record"}},"created_at":"2026-05-18T00:33:57.910603+00:00","updated_at":"2026-05-18T00:33:57.910603+00:00"}