{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:6OPWC3GV43BNOKUOFW2CJF3CX3","short_pith_number":"pith:6OPWC3GV","schema_version":"1.0","canonical_sha256":"f39f616cd5e6c2d72a8e2db4249762bec5e01f44ca7a3536d701d54fef3b95a0","source":{"kind":"arxiv","id":"1310.5396","version":2},"attestation_state":"computed","paper":{"title":"On the local profiles of trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nati Linial, S\\'ebastien Bubeck","submitted_at":"2013-10-21T01:51:53Z","abstract_excerpt":"We study the local profiles of trees. We show that, in contrast with the situation for general graphs, the limit set of k-profiles of trees is convex. We initiate a study of the defining inequalities of this convex set. Many challenging problems remain open."},"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":"1310.5396","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2013-10-21T01:51:53Z","cross_cats_sorted":[],"title_canon_sha256":"0c4737ca080f371f9a786350897a737a69a1938784bdf94f3d415d4fad29167e","abstract_canon_sha256":"dc31f7ef447bbb8137936b87b5aaa3b2e360d4d3502c98bfe6c6a45b816c9cd7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:07.791184Z","signature_b64":"StZ0tmPR8XFuNFqrrbY+nKs8jCEO9t7Q74wYKkXqWDDlj/rmgAca0KrTvsqLHbtxCjCngoxFszEkREHZ0WW9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f39f616cd5e6c2d72a8e2db4249762bec5e01f44ca7a3536d701d54fef3b95a0","last_reissued_at":"2026-05-18T02:33:07.790619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:07.790619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the local profiles of trees","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Nati Linial, S\\'ebastien Bubeck","submitted_at":"2013-10-21T01:51:53Z","abstract_excerpt":"We study the local profiles of trees. We show that, in contrast with the situation for general graphs, the limit set of k-profiles of trees is convex. We initiate a study of the defining inequalities of this convex set. Many challenging problems remain open."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.5396","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":"1310.5396","created_at":"2026-05-18T02:33:07.790703+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.5396v2","created_at":"2026-05-18T02:33:07.790703+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.5396","created_at":"2026-05-18T02:33:07.790703+00:00"},{"alias_kind":"pith_short_12","alias_value":"6OPWC3GV43BN","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_16","alias_value":"6OPWC3GV43BNOKUO","created_at":"2026-05-18T12:27:36.564083+00:00"},{"alias_kind":"pith_short_8","alias_value":"6OPWC3GV","created_at":"2026-05-18T12:27:36.564083+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/6OPWC3GV43BNOKUOFW2CJF3CX3","json":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3.json","graph_json":"https://pith.science/api/pith-number/6OPWC3GV43BNOKUOFW2CJF3CX3/graph.json","events_json":"https://pith.science/api/pith-number/6OPWC3GV43BNOKUOFW2CJF3CX3/events.json","paper":"https://pith.science/paper/6OPWC3GV"},"agent_actions":{"view_html":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3","download_json":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3.json","view_paper":"https://pith.science/paper/6OPWC3GV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.5396&json=true","fetch_graph":"https://pith.science/api/pith-number/6OPWC3GV43BNOKUOFW2CJF3CX3/graph.json","fetch_events":"https://pith.science/api/pith-number/6OPWC3GV43BNOKUOFW2CJF3CX3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3/action/storage_attestation","attest_author":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3/action/author_attestation","sign_citation":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3/action/citation_signature","submit_replication":"https://pith.science/pith/6OPWC3GV43BNOKUOFW2CJF3CX3/action/replication_record"}},"created_at":"2026-05-18T02:33:07.790703+00:00","updated_at":"2026-05-18T02:33:07.790703+00:00"}