{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:3FOEFBWCMZTOUJTTCPUUIUD6NW","short_pith_number":"pith:3FOEFBWC","schema_version":"1.0","canonical_sha256":"d95c4286c26666ea267313e944507e6d9938b210f1740a0d4f7cf15cb6eb5335","source":{"kind":"arxiv","id":"1909.05291","version":1},"attestation_state":"computed","paper":{"title":"A Soft Theorem for the Tropical Grassmannian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alfredo Guevara, Diego Garc\\'ia Sep\\'ulveda","submitted_at":"2019-09-11T18:34:16Z","abstract_excerpt":"We study the soft limit of a recently proposed generalization of the biadjoint scalar amplitudes $m^{(k)}_{n}$, which have been conjectured to have a relation to the tropical Grassmannian $\\text{Tr G}(k,n)$. Using the CHY formulation along with the Global Residue Theorem, we prove the soft factorization for $m^{(k)}_{n}$ amplitudes for arbitrary $k$ and $n$. We find that the soft factors are in direct correspondence to vertices of the associahedron $\\mathcal{A}_{k-1}$, and hence take the form of $m^{(2)}_{n}$ amplitudes. This entails that all scattering amplitudes of the ordinary biadjoint sca"},"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":"1909.05291","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-09-11T18:34:16Z","cross_cats_sorted":[],"title_canon_sha256":"0c2919c1bb111ffe0617518c35f84684d6473296f53c8d0b800f290dd313f64a","abstract_canon_sha256":"0cf9449d91861cf7e6bc4bf36fcfc4f481c7b6ea886b1e507d3cb5dddb8c43ff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:04:11.477689Z","signature_b64":"nyYKuPxGPRhuqHHrwrbLetuPmaxfxogBOSGLokZVCP/Fq2WuBjCr28+nzMVxfPEBtoQhkudvp/wYmHOQSafLCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d95c4286c26666ea267313e944507e6d9938b210f1740a0d4f7cf15cb6eb5335","last_reissued_at":"2026-07-05T00:04:11.477212Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:04:11.477212Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Soft Theorem for the Tropical Grassmannian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alfredo Guevara, Diego Garc\\'ia Sep\\'ulveda","submitted_at":"2019-09-11T18:34:16Z","abstract_excerpt":"We study the soft limit of a recently proposed generalization of the biadjoint scalar amplitudes $m^{(k)}_{n}$, which have been conjectured to have a relation to the tropical Grassmannian $\\text{Tr G}(k,n)$. Using the CHY formulation along with the Global Residue Theorem, we prove the soft factorization for $m^{(k)}_{n}$ amplitudes for arbitrary $k$ and $n$. We find that the soft factors are in direct correspondence to vertices of the associahedron $\\mathcal{A}_{k-1}$, and hence take the form of $m^{(2)}_{n}$ amplitudes. This entails that all scattering amplitudes of the ordinary biadjoint sca"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.05291","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.05291/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":"1909.05291","created_at":"2026-07-05T00:04:11.477267+00:00"},{"alias_kind":"arxiv_version","alias_value":"1909.05291v1","created_at":"2026-07-05T00:04:11.477267+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.05291","created_at":"2026-07-05T00:04:11.477267+00:00"},{"alias_kind":"pith_short_12","alias_value":"3FOEFBWCMZTO","created_at":"2026-07-05T00:04:11.477267+00:00"},{"alias_kind":"pith_short_16","alias_value":"3FOEFBWCMZTOUJTT","created_at":"2026-07-05T00:04:11.477267+00:00"},{"alias_kind":"pith_short_8","alias_value":"3FOEFBWC","created_at":"2026-07-05T00:04:11.477267+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2502.08016","citing_title":"The CEGM NLSM","ref_index":28,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW","json":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW.json","graph_json":"https://pith.science/api/pith-number/3FOEFBWCMZTOUJTTCPUUIUD6NW/graph.json","events_json":"https://pith.science/api/pith-number/3FOEFBWCMZTOUJTTCPUUIUD6NW/events.json","paper":"https://pith.science/paper/3FOEFBWC"},"agent_actions":{"view_html":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW","download_json":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW.json","view_paper":"https://pith.science/paper/3FOEFBWC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1909.05291&json=true","fetch_graph":"https://pith.science/api/pith-number/3FOEFBWCMZTOUJTTCPUUIUD6NW/graph.json","fetch_events":"https://pith.science/api/pith-number/3FOEFBWCMZTOUJTTCPUUIUD6NW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW/action/storage_attestation","attest_author":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW/action/author_attestation","sign_citation":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW/action/citation_signature","submit_replication":"https://pith.science/pith/3FOEFBWCMZTOUJTTCPUUIUD6NW/action/replication_record"}},"created_at":"2026-07-05T00:04:11.477267+00:00","updated_at":"2026-07-05T00:04:11.477267+00:00"}