{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:FYHOA7SPQ2YHW6EYWB7IOGSQSZ","short_pith_number":"pith:FYHOA7SP","canonical_record":{"source":{"id":"nlin/0401032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-22T07:13:01Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"title_canon_sha256":"695e1ed12e7064c3a818231bab12545085c5f613fc50efadade91218695b0190","abstract_canon_sha256":"456c58a5246c9d9ba4cba08918ee658d41e2c1aee42f33871a52999f37159194"},"schema_version":"1.0"},"canonical_sha256":"2e0ee07e4f86b07b7898b07e871a5096670543b3c501b72ca643cb8866b5604d","source":{"kind":"arxiv","id":"nlin/0401032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0401032","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0401032v1","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0401032","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"FYHOA7SPQ2YH","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"FYHOA7SPQ2YHW6EY","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"FYHOA7SP","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:FYHOA7SPQ2YHW6EYWB7IOGSQSZ","target":"record","payload":{"canonical_record":{"source":{"id":"nlin/0401032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-22T07:13:01Z","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"title_canon_sha256":"695e1ed12e7064c3a818231bab12545085c5f613fc50efadade91218695b0190","abstract_canon_sha256":"456c58a5246c9d9ba4cba08918ee658d41e2c1aee42f33871a52999f37159194"},"schema_version":"1.0"},"canonical_sha256":"2e0ee07e4f86b07b7898b07e871a5096670543b3c501b72ca643cb8866b5604d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:19.123145Z","signature_b64":"P0tQ3NrwGLdAgGLxoAeBg0kBJ5brTu38a5LjsWHlUjODt/jBmt3KWwKy7wP/gyQL+uNpEKoYM9FaYxxPYdMICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e0ee07e4f86b07b7898b07e871a5096670543b3c501b72ca643cb8866b5604d","last_reissued_at":"2026-05-18T01:38:19.122553Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:19.122553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"nlin/0401032","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2PFPuSI/fMdG5P09DoQ9qiIEWht+pxY00q6jdKcIB4k3lMakhl8r+VCR5kAp+357C0LtSobEB4Ycs1qK85EAAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:45:29.074357Z"},"content_sha256":"b14e409842f0b9dcf9900a0e91bf5c9e2c90ecfd87ddef037bda7b6964d9ba48","schema_version":"1.0","event_id":"sha256:b14e409842f0b9dcf9900a0e91bf5c9e2c90ecfd87ddef037bda7b6964d9ba48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:FYHOA7SPQ2YHW6EYWB7IOGSQSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Soliton Lattice and Single Soliton Solutions of the Associated Lam\\'e and Lam\\'e Potentials","license":"","headline":"","cross_cats":["cond-mat.other","math-ph","math.MP"],"primary_cat":"nlin.PS","authors_text":"Avadh Saxena, Avinash Khare, Ioana Bena","submitted_at":"2004-01-22T07:13:01Z","abstract_excerpt":"We obtain the exact nontopological soliton lattice solutions of the Associated Lam\\'e equation in different parameter regimes and compute the corresponding energy for each of these solutions. We show that in specific limits these solutions give rise to nontopological (pulse-like) single solitons, as well as to different types of topological (kink-like) single soliton solutions of the Associated Lam\\'e equation. Following Manton, we also compute, as an illustration, the asymptotic interaction energy between these soliton solutions in one particular case. Finally, in specific limits, we deduce t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0401032","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P93xWNhQ/WzbaEiufOwVcaYmLEIEaWZsHxMwH9xC+oLA00nSfGNvDhuvTvpWj4lflNBRmXTSbPMbbk9kcQ4nCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:45:29.074703Z"},"content_sha256":"cad5421068daa4e5ebd2cd9b61dfe4742581a69dac5c2583fcb797023ca55afa","schema_version":"1.0","event_id":"sha256:cad5421068daa4e5ebd2cd9b61dfe4742581a69dac5c2583fcb797023ca55afa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FYHOA7SPQ2YHW6EYWB7IOGSQSZ/bundle.json","state_url":"https://pith.science/pith/FYHOA7SPQ2YHW6EYWB7IOGSQSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FYHOA7SPQ2YHW6EYWB7IOGSQSZ/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":"2026-06-01T20:45:29Z","links":{"resolver":"https://pith.science/pith/FYHOA7SPQ2YHW6EYWB7IOGSQSZ","bundle":"https://pith.science/pith/FYHOA7SPQ2YHW6EYWB7IOGSQSZ/bundle.json","state":"https://pith.science/pith/FYHOA7SPQ2YHW6EYWB7IOGSQSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FYHOA7SPQ2YHW6EYWB7IOGSQSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:FYHOA7SPQ2YHW6EYWB7IOGSQSZ","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":"456c58a5246c9d9ba4cba08918ee658d41e2c1aee42f33871a52999f37159194","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-22T07:13:01Z","title_canon_sha256":"695e1ed12e7064c3a818231bab12545085c5f613fc50efadade91218695b0190"},"schema_version":"1.0","source":{"id":"nlin/0401032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"nlin/0401032","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"arxiv_version","alias_value":"nlin/0401032v1","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0401032","created_at":"2026-05-18T01:38:19Z"},{"alias_kind":"pith_short_12","alias_value":"FYHOA7SPQ2YH","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"FYHOA7SPQ2YHW6EY","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"FYHOA7SP","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:cad5421068daa4e5ebd2cd9b61dfe4742581a69dac5c2583fcb797023ca55afa","target":"graph","created_at":"2026-05-18T01:38:19Z","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 obtain the exact nontopological soliton lattice solutions of the Associated Lam\\'e equation in different parameter regimes and compute the corresponding energy for each of these solutions. We show that in specific limits these solutions give rise to nontopological (pulse-like) single solitons, as well as to different types of topological (kink-like) single soliton solutions of the Associated Lam\\'e equation. Following Manton, we also compute, as an illustration, the asymptotic interaction energy between these soliton solutions in one particular case. Finally, in specific limits, we deduce t","authors_text":"Avadh Saxena, Avinash Khare, Ioana Bena","cross_cats":["cond-mat.other","math-ph","math.MP"],"headline":"","license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-22T07:13:01Z","title":"Soliton Lattice and Single Soliton Solutions of the Associated Lam\\'e and Lam\\'e Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0401032","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:b14e409842f0b9dcf9900a0e91bf5c9e2c90ecfd87ddef037bda7b6964d9ba48","target":"record","created_at":"2026-05-18T01:38:19Z","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":"456c58a5246c9d9ba4cba08918ee658d41e2c1aee42f33871a52999f37159194","cross_cats_sorted":["cond-mat.other","math-ph","math.MP"],"license":"","primary_cat":"nlin.PS","submitted_at":"2004-01-22T07:13:01Z","title_canon_sha256":"695e1ed12e7064c3a818231bab12545085c5f613fc50efadade91218695b0190"},"schema_version":"1.0","source":{"id":"nlin/0401032","kind":"arxiv","version":1}},"canonical_sha256":"2e0ee07e4f86b07b7898b07e871a5096670543b3c501b72ca643cb8866b5604d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e0ee07e4f86b07b7898b07e871a5096670543b3c501b72ca643cb8866b5604d","first_computed_at":"2026-05-18T01:38:19.122553Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:19.122553Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P0tQ3NrwGLdAgGLxoAeBg0kBJ5brTu38a5LjsWHlUjODt/jBmt3KWwKy7wP/gyQL+uNpEKoYM9FaYxxPYdMICA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:19.123145Z","signed_message":"canonical_sha256_bytes"},"source_id":"nlin/0401032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b14e409842f0b9dcf9900a0e91bf5c9e2c90ecfd87ddef037bda7b6964d9ba48","sha256:cad5421068daa4e5ebd2cd9b61dfe4742581a69dac5c2583fcb797023ca55afa"],"state_sha256":"d736953b3f776654e50279a70d1f7ac770f7ac55c1fa9685d49e9e4ea5e05b3c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zbBj2ZKWnJ1Sa3JQTb3xTBvoBXshpkL7qNWaSanKGmulUPN24ti3d2ZiAHFWjW/oHDLbGJiFRU8I/H3VNLb/BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:45:29.076788Z","bundle_sha256":"8a84a491222f266307f6b9688bc57ceaa938c4d999dbd4d4a86b64603db12ff5"}}