{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:LQPS4GMVPZ3MZHX73SDT5FMAC3","short_pith_number":"pith:LQPS4GMV","schema_version":"1.0","canonical_sha256":"5c1f2e19957e76cc9effdc873e958016d4fe41eb44b7a7db1cab2ee749a52740","source":{"kind":"arxiv","id":"1004.1913","version":2},"attestation_state":"computed","paper":{"title":"Breakdown of Dirac Dynamics in Honeycomb Lattices due to Nonlinear Interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","physics.atom-ph"],"primary_cat":"physics.optics","authors_text":"Hrvoje Buljan, Mordechai Segev, Omri Bahat-Treidel, Or Peleg","submitted_at":"2010-04-12T10:02:16Z","abstract_excerpt":"We study the dynamics of coherent waves in nonlinear honeycomb lattices and show that nonlinearity breaks down the Dirac dynamics. As an example, we demonstrate that even a weak nonlinearity has major qualitative effects one of the hallmarks of honeycomb lattices: conical diffraction. Under linear conditions, a circular input wave-packet associated with the Dirac point evolves into a ring, but   even a weak nonlinearity alters the evolution such that the emerging beam possesses triangular symmetry, and populates Bloch modes outside of the Dirac cone region. Our results are presented in the con"},"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":"1004.1913","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2010-04-12T10:02:16Z","cross_cats_sorted":["cond-mat.other","physics.atom-ph"],"title_canon_sha256":"562563f452dcf3c7b973b8eaad3bb48468d62560752e27050f1413480d810c27","abstract_canon_sha256":"797bdffbf041e1c11d433922665ccbff261ce69eaeb86f72533f93d0ec0bbd64"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:48.853435Z","signature_b64":"uYJLQU3YH312IMVyJ9w0w20PpcMIYZHSfFN7N8ApwFL1379ZnOALOZ01W+poJnCxi+Au8yJp/4ckkCXmaXj8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5c1f2e19957e76cc9effdc873e958016d4fe41eb44b7a7db1cab2ee749a52740","last_reissued_at":"2026-05-18T03:23:48.853003Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:48.853003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Breakdown of Dirac Dynamics in Honeycomb Lattices due to Nonlinear Interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","physics.atom-ph"],"primary_cat":"physics.optics","authors_text":"Hrvoje Buljan, Mordechai Segev, Omri Bahat-Treidel, Or Peleg","submitted_at":"2010-04-12T10:02:16Z","abstract_excerpt":"We study the dynamics of coherent waves in nonlinear honeycomb lattices and show that nonlinearity breaks down the Dirac dynamics. As an example, we demonstrate that even a weak nonlinearity has major qualitative effects one of the hallmarks of honeycomb lattices: conical diffraction. Under linear conditions, a circular input wave-packet associated with the Dirac point evolves into a ring, but   even a weak nonlinearity alters the evolution such that the emerging beam possesses triangular symmetry, and populates Bloch modes outside of the Dirac cone region. Our results are presented in the con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.1913","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":"1004.1913","created_at":"2026-05-18T03:23:48.853065+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.1913v2","created_at":"2026-05-18T03:23:48.853065+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.1913","created_at":"2026-05-18T03:23:48.853065+00:00"},{"alias_kind":"pith_short_12","alias_value":"LQPS4GMVPZ3M","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_16","alias_value":"LQPS4GMVPZ3MZHX7","created_at":"2026-05-18T12:26:10.704358+00:00"},{"alias_kind":"pith_short_8","alias_value":"LQPS4GMV","created_at":"2026-05-18T12:26:10.704358+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/LQPS4GMVPZ3MZHX73SDT5FMAC3","json":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3.json","graph_json":"https://pith.science/api/pith-number/LQPS4GMVPZ3MZHX73SDT5FMAC3/graph.json","events_json":"https://pith.science/api/pith-number/LQPS4GMVPZ3MZHX73SDT5FMAC3/events.json","paper":"https://pith.science/paper/LQPS4GMV"},"agent_actions":{"view_html":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3","download_json":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3.json","view_paper":"https://pith.science/paper/LQPS4GMV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.1913&json=true","fetch_graph":"https://pith.science/api/pith-number/LQPS4GMVPZ3MZHX73SDT5FMAC3/graph.json","fetch_events":"https://pith.science/api/pith-number/LQPS4GMVPZ3MZHX73SDT5FMAC3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3/action/storage_attestation","attest_author":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3/action/author_attestation","sign_citation":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3/action/citation_signature","submit_replication":"https://pith.science/pith/LQPS4GMVPZ3MZHX73SDT5FMAC3/action/replication_record"}},"created_at":"2026-05-18T03:23:48.853065+00:00","updated_at":"2026-05-18T03:23:48.853065+00:00"}