{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:YCICY5FURSDQDUXFDR5A3HDMX7","short_pith_number":"pith:YCICY5FU","canonical_record":{"source":{"id":"1510.02445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-08T18:59:46Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"d506c3efb418645fbf33aaa29b6b69a31bbdf2871d2cca06449c150e51a8c838","abstract_canon_sha256":"2a44fb44dabbc644a5c65684d95a9c3e205a50e0a7ab4d7704a0262175e17c26"},"schema_version":"1.0"},"canonical_sha256":"c0902c74b48c8701d2e51c7a0d9c6cbfe5e1adf4d20dc2ab8ac8b08766931653","source":{"kind":"arxiv","id":"1510.02445","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02445","created_at":"2026-05-18T01:30:43Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02445v1","created_at":"2026-05-18T01:30:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02445","created_at":"2026-05-18T01:30:43Z"},{"alias_kind":"pith_short_12","alias_value":"YCICY5FURSDQ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YCICY5FURSDQDUXF","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YCICY5FU","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:YCICY5FURSDQDUXFDR5A3HDMX7","target":"record","payload":{"canonical_record":{"source":{"id":"1510.02445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-08T18:59:46Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"d506c3efb418645fbf33aaa29b6b69a31bbdf2871d2cca06449c150e51a8c838","abstract_canon_sha256":"2a44fb44dabbc644a5c65684d95a9c3e205a50e0a7ab4d7704a0262175e17c26"},"schema_version":"1.0"},"canonical_sha256":"c0902c74b48c8701d2e51c7a0d9c6cbfe5e1adf4d20dc2ab8ac8b08766931653","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:43.709821Z","signature_b64":"HnRaBElnsDm8ZFZRtsJ7XV7xdeyD4YsjW4woMon1lA49cZfuzqMp/i0t4NtnWb9/oyR0cUnkmkCVmAh5L5feDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0902c74b48c8701d2e51c7a0d9c6cbfe5e1adf4d20dc2ab8ac8b08766931653","last_reissued_at":"2026-05-18T01:30:43.709356Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:43.709356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.02445","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:30:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QKpqaC2Fa6LKHoJ2PIGfBY3w9zEnDd+gXp+/Hd3exWIMzUf1GhOE7FsWs/nI1ZU5eNuT8Db+qK5kyQB61bb4DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:12:05.895085Z"},"content_sha256":"58faa4428aa6c600c50813d28cb048a5d047050280ac5d0e056f846f5ca73c2e","schema_version":"1.0","event_id":"sha256:58faa4428aa6c600c50813d28cb048a5d047050280ac5d0e056f846f5ca73c2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:YCICY5FURSDQDUXFDR5A3HDMX7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reciprocity and self-tuning relations without wrapping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Davide Fioravanti, Gabriele Infusino, Marco Rossi","submitted_at":"2015-10-08T18:59:46Z","abstract_excerpt":"We consider scalar Wilson operators of ${\\cal N}=4$ SYM at high spin, $s$, and generic twist in the multi-color limit. We show that the corresponding (non)linear integral equations (originating from the asymptotic Bethe Ansatz equations) respect certain 'reciprocity' and functional 'self-tuning' relations up to all terms $\\frac{1}{s(\\ln s)^n}$ (inclusive) at any fixed 't Hooft coupling $\\lambda$. Of course, this relation entails straightforwardly the well-known (homonymous) relations for the anomalous dimension at the same order in $s$. On this basis we give some evidence that wrapping correct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02445","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:30:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ol/ydqEwpcokSZzIRk6YBlLSJpTtXIg/oaQFgyRT2E/LZtba1HdHB8wFuQTKAseZEi2//nDdbJypraOo/m4LBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:12:05.895771Z"},"content_sha256":"6009af50463e32486612ce5ddf73313c9be0a70b5a214e23c5dd8ff9bb1d71a0","schema_version":"1.0","event_id":"sha256:6009af50463e32486612ce5ddf73313c9be0a70b5a214e23c5dd8ff9bb1d71a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YCICY5FURSDQDUXFDR5A3HDMX7/bundle.json","state_url":"https://pith.science/pith/YCICY5FURSDQDUXFDR5A3HDMX7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YCICY5FURSDQDUXFDR5A3HDMX7/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T11:12:05Z","links":{"resolver":"https://pith.science/pith/YCICY5FURSDQDUXFDR5A3HDMX7","bundle":"https://pith.science/pith/YCICY5FURSDQDUXFDR5A3HDMX7/bundle.json","state":"https://pith.science/pith/YCICY5FURSDQDUXFDR5A3HDMX7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YCICY5FURSDQDUXFDR5A3HDMX7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YCICY5FURSDQDUXFDR5A3HDMX7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2a44fb44dabbc644a5c65684d95a9c3e205a50e0a7ab4d7704a0262175e17c26","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-08T18:59:46Z","title_canon_sha256":"d506c3efb418645fbf33aaa29b6b69a31bbdf2871d2cca06449c150e51a8c838"},"schema_version":"1.0","source":{"id":"1510.02445","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.02445","created_at":"2026-05-18T01:30:43Z"},{"alias_kind":"arxiv_version","alias_value":"1510.02445v1","created_at":"2026-05-18T01:30:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.02445","created_at":"2026-05-18T01:30:43Z"},{"alias_kind":"pith_short_12","alias_value":"YCICY5FURSDQ","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YCICY5FURSDQDUXF","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YCICY5FU","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:6009af50463e32486612ce5ddf73313c9be0a70b5a214e23c5dd8ff9bb1d71a0","target":"graph","created_at":"2026-05-18T01:30:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We consider scalar Wilson operators of ${\\cal N}=4$ SYM at high spin, $s$, and generic twist in the multi-color limit. We show that the corresponding (non)linear integral equations (originating from the asymptotic Bethe Ansatz equations) respect certain 'reciprocity' and functional 'self-tuning' relations up to all terms $\\frac{1}{s(\\ln s)^n}$ (inclusive) at any fixed 't Hooft coupling $\\lambda$. Of course, this relation entails straightforwardly the well-known (homonymous) relations for the anomalous dimension at the same order in $s$. On this basis we give some evidence that wrapping correct","authors_text":"Davide Fioravanti, Gabriele Infusino, Marco Rossi","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-08T18:59:46Z","title":"Reciprocity and self-tuning relations without wrapping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.02445","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:58faa4428aa6c600c50813d28cb048a5d047050280ac5d0e056f846f5ca73c2e","target":"record","created_at":"2026-05-18T01:30:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2a44fb44dabbc644a5c65684d95a9c3e205a50e0a7ab4d7704a0262175e17c26","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-10-08T18:59:46Z","title_canon_sha256":"d506c3efb418645fbf33aaa29b6b69a31bbdf2871d2cca06449c150e51a8c838"},"schema_version":"1.0","source":{"id":"1510.02445","kind":"arxiv","version":1}},"canonical_sha256":"c0902c74b48c8701d2e51c7a0d9c6cbfe5e1adf4d20dc2ab8ac8b08766931653","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0902c74b48c8701d2e51c7a0d9c6cbfe5e1adf4d20dc2ab8ac8b08766931653","first_computed_at":"2026-05-18T01:30:43.709356Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:43.709356Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HnRaBElnsDm8ZFZRtsJ7XV7xdeyD4YsjW4woMon1lA49cZfuzqMp/i0t4NtnWb9/oyR0cUnkmkCVmAh5L5feDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:43.709821Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.02445","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:58faa4428aa6c600c50813d28cb048a5d047050280ac5d0e056f846f5ca73c2e","sha256:6009af50463e32486612ce5ddf73313c9be0a70b5a214e23c5dd8ff9bb1d71a0"],"state_sha256":"69b085f6dea582b74f162cc62ad83c87cbd1d3ed482ca687c84e703722454235"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CPAEtgmrfxpC7t08y/ly9JiNpeYuMHpCJry+El3qz8/A496/GGIrwmrKSK8GtLvdB8kHp61DXPmgx2sz08T7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:12:05.899513Z","bundle_sha256":"62fe319a80e9d54bfabf3ac8364efd220aa46d592181149e70cb10e57225ea3c"}}