{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:SNRDQHT3WTVQ5XJVXE7MSXMA4F","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":"371ad37c366badb50d8e6080fbd7139c968a89d33690197a504a76a9ba12bebb","cross_cats_sorted":["cond-mat.other"],"license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-26T17:30:54Z","title_canon_sha256":"93b6a7eb5917935035607b05c5d109dcfc0f765683aa9f78bfab28154a7cff8c"},"schema_version":"1.0","source":{"id":"nlin/0401038","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0401038","created_at":"2026-07-04T14:41:50Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0401038v2","created_at":"2026-07-04T14:41:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0401038","created_at":"2026-07-04T14:41:50Z"},{"alias_kind":"pith_short_12","alias_value":"SNRDQHT3WTVQ","created_at":"2026-07-04T14:41:50Z"},{"alias_kind":"pith_short_16","alias_value":"SNRDQHT3WTVQ5XJV","created_at":"2026-07-04T14:41:50Z"},{"alias_kind":"pith_short_8","alias_value":"SNRDQHT3","created_at":"2026-07-04T14:41:50Z"}],"graph_snapshots":[{"event_id":"sha256:333267be688cc49a57edff785cb435845c95b489e6d6832eb70929084c2fbad7","target":"graph","created_at":"2026-07-04T14:41:50Z","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/nlin/0401038/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Discrete breathers are time-periodic, spatially localized solutions of the equations of motion for a system of classical degrees of freedom interacting on a lattice. We study the existence of energy thresholds for discrete breathers, i.e., the question whether, in a certain system, discrete breathers of arbitrarily low energy exist, or a threshold has to be overcome in order to excite a discrete breather. Breather energies are found to have a positive lower bound if the lattice dimension d is greater than or equal to a certain critical value d_c, whereas no energy threshold is observed for d<d","authors_text":"Michael Kastner","cross_cats":["cond-mat.other"],"headline":"","license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-26T17:30:54Z","title":"Dimension dependent energy thresholds for discrete breathers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0401038","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":"sha256:7162a1abb291790550d64264e4ff4f31a39c7de650b8d0211a7883495147efe3","target":"record","created_at":"2026-07-04T14:41:50Z","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":"371ad37c366badb50d8e6080fbd7139c968a89d33690197a504a76a9ba12bebb","cross_cats_sorted":["cond-mat.other"],"license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-26T17:30:54Z","title_canon_sha256":"93b6a7eb5917935035607b05c5d109dcfc0f765683aa9f78bfab28154a7cff8c"},"schema_version":"1.0","source":{"id":"nlin/0401038","kind":"arxiv","version":2}},"canonical_sha256":"9362381e7bb4eb0edd35b93ec95d80e16808496e9ad1e11da4e4033dd8d0787a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9362381e7bb4eb0edd35b93ec95d80e16808496e9ad1e11da4e4033dd8d0787a","first_computed_at":"2026-07-04T14:41:50.265401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:41:50.265401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D9kYkjt0CrX+Baia/v988WOJtfVrgLUMi7mAokeL5rvMnJIRPYszw+E8McR2eFtSzF3bu76rxHa5+uqEIGqLCA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:41:50.265746Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0401038","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7162a1abb291790550d64264e4ff4f31a39c7de650b8d0211a7883495147efe3","sha256:333267be688cc49a57edff785cb435845c95b489e6d6832eb70929084c2fbad7"],"state_sha256":"2ead3bb5700556a099bf70c74bdacdb24ec2332ccc7106b09b1829cfc7ec9d07"}