{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UZZHC2OF43VVIR47GKOG3M7YNZ","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":"fee0f1be1e3661ad561a661319eb7552ac3886bb6dd5ec6091980c1500c8fe58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2025-01-15T02:48:21Z","title_canon_sha256":"9c0c55d8ee69e144611482c3c4e6ec2e0593d38c8845096373d07223cf08d5d2"},"schema_version":"1.0","source":{"id":"2501.08534","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.08534","created_at":"2026-07-05T10:01:20Z"},{"alias_kind":"arxiv_version","alias_value":"2501.08534v1","created_at":"2026-07-05T10:01:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.08534","created_at":"2026-07-05T10:01:20Z"},{"alias_kind":"pith_short_12","alias_value":"UZZHC2OF43VV","created_at":"2026-07-05T10:01:20Z"},{"alias_kind":"pith_short_16","alias_value":"UZZHC2OF43VVIR47","created_at":"2026-07-05T10:01:20Z"},{"alias_kind":"pith_short_8","alias_value":"UZZHC2OF","created_at":"2026-07-05T10:01:20Z"}],"graph_snapshots":[{"event_id":"sha256:2396836014d8944c329393217b8eeed423bee4c71c64e8855d411d62362e0435","target":"graph","created_at":"2026-07-05T10:01:20Z","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/2501.08534/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the present work, we revisit the topic of translational eigenmodes in discrete models. We focus on the prototypical example of the discrete nonlinear Schr{\\\"o}dinger equation, although the methodology presented is quite general. We tackle the relevant discrete system based on exponential asymptotics and start by deducing the well-known (and fairly generic) feature of the existence of two types of fixed points, namely site-centered and inter-site-centered. Then, turning to the stability problem, we not only retrieve the exponential scaling (as \\( e^{-\\pi^2/(2 \\varepsilon)} \\), where \\( \\vare","authors_text":"C.J. Lustri, P.G. Kevrekidis, S.J. Chapman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2025-01-15T02:48:21Z","title":"Exponential Asymptotics for Translational Modes in the Discrete Nonlinear Schr{\\\"o}dinger Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.08534","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":"sha256:838201230984709a47259a5002b1405dd25521729b5e4f390ab6d0c623839ee3","target":"record","created_at":"2026-07-05T10:01:20Z","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":"fee0f1be1e3661ad561a661319eb7552ac3886bb6dd5ec6091980c1500c8fe58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2025-01-15T02:48:21Z","title_canon_sha256":"9c0c55d8ee69e144611482c3c4e6ec2e0593d38c8845096373d07223cf08d5d2"},"schema_version":"1.0","source":{"id":"2501.08534","kind":"arxiv","version":1}},"canonical_sha256":"a6727169c5e6eb54479f329c6db3f86e4bd71f16a95695f9d526ea16dad91007","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6727169c5e6eb54479f329c6db3f86e4bd71f16a95695f9d526ea16dad91007","first_computed_at":"2026-07-05T10:01:20.834061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:01:20.834061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"smK4cNALjhXWgQIMrzRJuOo7HXIciTYzG2CCg5Z1I+9xByZRjYjd+RAi1g1qHZZ5Gzbm7J118gLFMw0z9UW5CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T10:01:20.834617Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.08534","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:838201230984709a47259a5002b1405dd25521729b5e4f390ab6d0c623839ee3","sha256:2396836014d8944c329393217b8eeed423bee4c71c64e8855d411d62362e0435"],"state_sha256":"ae6dd09918510a4860910eace83deee0926632ef1b121424d344fd7d5393f6cf"}