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At leading order in strong coupling (large lambda) we obtain that the energy of such states is given, in terms of the spin S and the number of spikes n by E-S=n sqrt{lambda}/(2 pi) (ln 16 pi S/(n sqrt{lambda})+ ln sin (pi/n) - 1)+ O(ln S/S). This result matches perfectly the same expansion obtained from the known spiky string classical solution.\n  We th"},"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":"0905.3536","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-21T18:01:10Z","cross_cats_sorted":[],"title_canon_sha256":"ceca9bb7c23095b8789c223ea39d8b00286614a4ea3a73b4fecd358386134883","abstract_canon_sha256":"329f5f7b784bac0ca218fc2e8fd6068755f67b23c0ba90f35f57a6fac18a5251"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:38.163194Z","signature_b64":"8Xyy2wdezB76LP21HiuKqsH3TA36Szc4hyJkqIqLe7pxMSrBCP81Jr1PsYl0teINleOV5LT+PmYp8cTYAnpxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95852d7e7614a6da0332bb320b3c79c88787fd920fb0b448c582d43d2fc50661","last_reissued_at":"2026-05-18T02:13:38.162729Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:38.162729Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spiky strings in the SL(2) Bethe Ansatz","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"A. Tirziu, L. Freyhult, M. Kruczenski","submitted_at":"2009-05-21T18:01:10Z","abstract_excerpt":"We study spiky strings in the context of the SL(2) Bethe ansatz equations. We find an asymmetric distribution of Bethe roots along one cut that determines the all loop anomalous dimension at leading and subleading orders in a large S expansion. At leading order in strong coupling (large lambda) we obtain that the energy of such states is given, in terms of the spin S and the number of spikes n by E-S=n sqrt{lambda}/(2 pi) (ln 16 pi S/(n sqrt{lambda})+ ln sin (pi/n) - 1)+ O(ln S/S). This result matches perfectly the same expansion obtained from the known spiky string classical solution.\n  We th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.3536","kind":"arxiv","version":3},"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":"0905.3536","created_at":"2026-05-18T02:13:38.162793+00:00"},{"alias_kind":"arxiv_version","alias_value":"0905.3536v3","created_at":"2026-05-18T02:13:38.162793+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.3536","created_at":"2026-05-18T02:13:38.162793+00:00"},{"alias_kind":"pith_short_12","alias_value":"SWCS27TWCSTN","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"SWCS27TWCSTNUAZS","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"SWCS27TW","created_at":"2026-05-18T12:26:01.383474+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/SWCS27TWCSTNUAZSXMZAWPDZZC","json":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC.json","graph_json":"https://pith.science/api/pith-number/SWCS27TWCSTNUAZSXMZAWPDZZC/graph.json","events_json":"https://pith.science/api/pith-number/SWCS27TWCSTNUAZSXMZAWPDZZC/events.json","paper":"https://pith.science/paper/SWCS27TW"},"agent_actions":{"view_html":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC","download_json":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC.json","view_paper":"https://pith.science/paper/SWCS27TW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0905.3536&json=true","fetch_graph":"https://pith.science/api/pith-number/SWCS27TWCSTNUAZSXMZAWPDZZC/graph.json","fetch_events":"https://pith.science/api/pith-number/SWCS27TWCSTNUAZSXMZAWPDZZC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC/action/storage_attestation","attest_author":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC/action/author_attestation","sign_citation":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC/action/citation_signature","submit_replication":"https://pith.science/pith/SWCS27TWCSTNUAZSXMZAWPDZZC/action/replication_record"}},"created_at":"2026-05-18T02:13:38.162793+00:00","updated_at":"2026-05-18T02:13:38.162793+00:00"}