{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:YK2XHE6NSTWIBBHFZ426ZFRRAV","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":"228f29a95885f81ea0c9bfa6de4c06a1b566d371a1a856a6ea11365c60a29770","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-26T16:33:08Z","title_canon_sha256":"8c031b6061f785cde4ca51b46a99a8d61b1ed5840975ce3b87123456603c454b"},"schema_version":"1.0","source":{"id":"1505.07041","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.07041","created_at":"2026-05-18T02:03:27Z"},{"alias_kind":"arxiv_version","alias_value":"1505.07041v1","created_at":"2026-05-18T02:03:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.07041","created_at":"2026-05-18T02:03:27Z"},{"alias_kind":"pith_short_12","alias_value":"YK2XHE6NSTWI","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"YK2XHE6NSTWIBBHF","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"YK2XHE6N","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:a392842531877304139b41329f879bdc851f470b1d1ed2e0e75ad1ca54daaf83","target":"graph","created_at":"2026-05-18T02:03:27Z","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 show that multiple filamentation patterns in high-power laser beams, can be described by means of two statistical physics concepts, namely self-similarity of the patterns over two nested scales, and nearest-neighbor interactions of classical rotators. The resulting lattice spin model perfectly reproduces the evolution of intense laser pulses as simulated by the Non-Linear Schr\\\"odinger Equation, shedding a new light on multiple filamentation. As a side benefit, this approach drastically reduces the computing time by two orders of magnitude as compared to the standard simulation methods of l","authors_text":"Jean-Pierre Wolf, J\\'er\\^ome Kasparian, Wahb Ettoumi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-26T16:33:08Z","title":"Spin-Glass Model Governs Laser Multiple Filamentation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.07041","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:d02c85a31a7900e92b9b6704ae44c0b187764db36330bcc2d13603f79131265a","target":"record","created_at":"2026-05-18T02:03:27Z","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":"228f29a95885f81ea0c9bfa6de4c06a1b566d371a1a856a6ea11365c60a29770","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-05-26T16:33:08Z","title_canon_sha256":"8c031b6061f785cde4ca51b46a99a8d61b1ed5840975ce3b87123456603c454b"},"schema_version":"1.0","source":{"id":"1505.07041","kind":"arxiv","version":1}},"canonical_sha256":"c2b57393cd94ec8084e5cf35ec9631056a677e0896fa7e16233af70cdbb0ec9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2b57393cd94ec8084e5cf35ec9631056a677e0896fa7e16233af70cdbb0ec9e","first_computed_at":"2026-05-18T02:03:27.314202Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:27.314202Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WbNZn6mc/cXDP1o2NjyV2AqHswYJ47yXaUMzNutO+pmevRPo4yUQa/HNnHoF+z01aTtP2NVpR7DuJm8N8He3Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:27.314659Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.07041","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d02c85a31a7900e92b9b6704ae44c0b187764db36330bcc2d13603f79131265a","sha256:a392842531877304139b41329f879bdc851f470b1d1ed2e0e75ad1ca54daaf83"],"state_sha256":"6576ac03840023cc6f05607e3e38716fc588d83201c38b84b46d7f88d3f09101"}