{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:PP7UU6ABMHAETPQTTVS5RRTAF2","short_pith_number":"pith:PP7UU6AB","canonical_record":{"source":{"id":"hep-th/0604135","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T19:51:57Z","cross_cats_sorted":[],"title_canon_sha256":"28835115b1fd18daf4196b5316199e6acc573977d7f188c8cf33b817876a824f","abstract_canon_sha256":"e19596e96361e9648f9f45617953d0cb48592f1bd3ab8cd585780782e48bd00c"},"schema_version":"1.0"},"canonical_sha256":"7bff4a780161c049be139d65d8c6602e9d39615c6aaca6545e94fd97e6898b5d","source":{"kind":"arxiv","id":"hep-th/0604135","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0604135","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0604135v2","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0604135","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"PP7UU6ABMHAE","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_16","alias_value":"PP7UU6ABMHAETPQT","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_8","alias_value":"PP7UU6AB","created_at":"2026-07-04T17:01:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:PP7UU6ABMHAETPQTTVS5RRTAF2","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0604135","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T19:51:57Z","cross_cats_sorted":[],"title_canon_sha256":"28835115b1fd18daf4196b5316199e6acc573977d7f188c8cf33b817876a824f","abstract_canon_sha256":"e19596e96361e9648f9f45617953d0cb48592f1bd3ab8cd585780782e48bd00c"},"schema_version":"1.0"},"canonical_sha256":"7bff4a780161c049be139d65d8c6602e9d39615c6aaca6545e94fd97e6898b5d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:01:53.827762Z","signature_b64":"jEofkK+zVtCzrLeFa1YZCTmkuaKtVt/SbDx0i00MXPQr4t6Ah0pEzHobqplq7A9Ra0j76vgDAXvY2qTsBSHwDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7bff4a780161c049be139d65d8c6602e9d39615c6aaca6545e94fd97e6898b5d","last_reissued_at":"2026-07-04T17:01:53.827423Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:01:53.827423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0604135","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HI8HrRiumDNePQfHTNbb6g0K8y/bkx0JEbmaVv+Oc/6YLXlO/2STa4mZ7LjSSCVkC6k+gbe5+2m5NEWG3V6gBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:29:29.485676Z"},"content_sha256":"7eb14944603ecad2233f4dbd7ce4920565b18e0aab3e784cec2d43620ce76f2c","schema_version":"1.0","event_id":"sha256:7eb14944603ecad2233f4dbd7ce4920565b18e0aab3e784cec2d43620ce76f2c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:PP7UU6ABMHAETPQTTVS5RRTAF2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Giant Magnons","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Diego M. Hofman, Juan Maldacena","submitted_at":"2006-04-19T19:51:57Z","abstract_excerpt":"Studies of ${\\cal N}=4$ super Yang Mills operators with large R-charge have shown that, in the planar limit, the problem of computing their dimensions can be viewed as a certain spin chain. These spin chains have fundamental ``magnon'' excitations which obey a dispersion relation that is periodic in the momentum of the magnons. This result for the dispersion relation was also shown to hold at arbitrary 't Hooft coupling. Here we identify these magnons on the string theory side and we show how to reconcile a periodic dispersion relation with the continuum worldsheet description. The crucial ide"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0604135","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0604135/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/sQ8BlRNCbagNw3ulSykvLB0HgPCsG/8BtAG2PYkYg9XbE81FCODPQFYrtVQDhcQDgt4m3ptrac3orXLmYXzAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T23:29:29.488849Z"},"content_sha256":"41b7a46ddf4c5f50c6fc644e54784ae63ff5cc5424be16d0f45432212a04bfc9","schema_version":"1.0","event_id":"sha256:41b7a46ddf4c5f50c6fc644e54784ae63ff5cc5424be16d0f45432212a04bfc9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PP7UU6ABMHAETPQTTVS5RRTAF2/bundle.json","state_url":"https://pith.science/pith/PP7UU6ABMHAETPQTTVS5RRTAF2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PP7UU6ABMHAETPQTTVS5RRTAF2/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":"2026-08-16T23:29:29Z","links":{"resolver":"https://pith.science/pith/PP7UU6ABMHAETPQTTVS5RRTAF2","bundle":"https://pith.science/pith/PP7UU6ABMHAETPQTTVS5RRTAF2/bundle.json","state":"https://pith.science/pith/PP7UU6ABMHAETPQTTVS5RRTAF2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PP7UU6ABMHAETPQTTVS5RRTAF2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PP7UU6ABMHAETPQTTVS5RRTAF2","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":"e19596e96361e9648f9f45617953d0cb48592f1bd3ab8cd585780782e48bd00c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T19:51:57Z","title_canon_sha256":"28835115b1fd18daf4196b5316199e6acc573977d7f188c8cf33b817876a824f"},"schema_version":"1.0","source":{"id":"hep-th/0604135","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0604135","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0604135v2","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0604135","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"PP7UU6ABMHAE","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_16","alias_value":"PP7UU6ABMHAETPQT","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_8","alias_value":"PP7UU6AB","created_at":"2026-07-04T17:01:53Z"}],"graph_snapshots":[{"event_id":"sha256:41b7a46ddf4c5f50c6fc644e54784ae63ff5cc5424be16d0f45432212a04bfc9","target":"graph","created_at":"2026-07-04T17:01:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0604135/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Studies of ${\\cal N}=4$ super Yang Mills operators with large R-charge have shown that, in the planar limit, the problem of computing their dimensions can be viewed as a certain spin chain. These spin chains have fundamental ``magnon'' excitations which obey a dispersion relation that is periodic in the momentum of the magnons. This result for the dispersion relation was also shown to hold at arbitrary 't Hooft coupling. Here we identify these magnons on the string theory side and we show how to reconcile a periodic dispersion relation with the continuum worldsheet description. The crucial ide","authors_text":"Diego M. Hofman, Juan Maldacena","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T19:51:57Z","title":"Giant Magnons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0604135","kind":"arxiv","version":2},"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":"sha256:7eb14944603ecad2233f4dbd7ce4920565b18e0aab3e784cec2d43620ce76f2c","target":"record","created_at":"2026-07-04T17:01:53Z","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":"e19596e96361e9648f9f45617953d0cb48592f1bd3ab8cd585780782e48bd00c","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2006-04-19T19:51:57Z","title_canon_sha256":"28835115b1fd18daf4196b5316199e6acc573977d7f188c8cf33b817876a824f"},"schema_version":"1.0","source":{"id":"hep-th/0604135","kind":"arxiv","version":2}},"canonical_sha256":"7bff4a780161c049be139d65d8c6602e9d39615c6aaca6545e94fd97e6898b5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7bff4a780161c049be139d65d8c6602e9d39615c6aaca6545e94fd97e6898b5d","first_computed_at":"2026-07-04T17:01:53.827423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:01:53.827423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jEofkK+zVtCzrLeFa1YZCTmkuaKtVt/SbDx0i00MXPQr4t6Ah0pEzHobqplq7A9Ra0j76vgDAXvY2qTsBSHwDA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:01:53.827762Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0604135","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7eb14944603ecad2233f4dbd7ce4920565b18e0aab3e784cec2d43620ce76f2c","sha256:41b7a46ddf4c5f50c6fc644e54784ae63ff5cc5424be16d0f45432212a04bfc9"],"state_sha256":"7f5fb53d475b6ad367e079c8229c6e7ca7c97e60374901491fb1307d41fe973d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TigZaVilSuu9q92q/R8J6RxemDXcFY2hVuWzZT37LBbDB6CQsBQJ4LvORf5VGvxtGh7Ov/mnvgKJ+klOWkUBDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T23:29:29.502255Z","bundle_sha256":"ad1f34fbf670fc0dd9f50b7e530d35e7dd1d801ba1ec88d4fec8e6259fc2100a"}}