{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5234YLWVOTYE44GFUE7CKJSEJ7","short_pith_number":"pith:5234YLWV","canonical_record":{"source":{"id":"1301.0380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-03T07:00:05Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"779b4a9355d77790ece98b1cdb4379aef4910dd7f5156786bc3a06eac7545c03","abstract_canon_sha256":"45a6491c7402922ece15023d6b57d6fa6156365a1668f7ec3cc1edd9f6ff5df6"},"schema_version":"1.0"},"canonical_sha256":"eeb7cc2ed574f04e70c5a13e2526444ff74a2cbd06333097f51322d9decc2477","source":{"kind":"arxiv","id":"1301.0380","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0380","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0380v1","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0380","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"pith_short_12","alias_value":"5234YLWVOTYE","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5234YLWVOTYE44GF","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5234YLWV","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5234YLWVOTYE44GFUE7CKJSEJ7","target":"record","payload":{"canonical_record":{"source":{"id":"1301.0380","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-03T07:00:05Z","cross_cats_sorted":["physics.optics"],"title_canon_sha256":"779b4a9355d77790ece98b1cdb4379aef4910dd7f5156786bc3a06eac7545c03","abstract_canon_sha256":"45a6491c7402922ece15023d6b57d6fa6156365a1668f7ec3cc1edd9f6ff5df6"},"schema_version":"1.0"},"canonical_sha256":"eeb7cc2ed574f04e70c5a13e2526444ff74a2cbd06333097f51322d9decc2477","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:21.994615Z","signature_b64":"/sH4Mc03mbXDQyjgijdfcsxUjbGqVvJ3Pq7mWdkKjaWCpdCg6BRv6lHS/myzy39SR53JjtPfYXKGByuIl37uAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eeb7cc2ed574f04e70c5a13e2526444ff74a2cbd06333097f51322d9decc2477","last_reissued_at":"2026-05-18T01:52:21.994104Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:21.994104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.0380","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":"2026-05-18T01:52:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PRnWGoduMMGO9qP2XNN+H5qtziSjf7ISu6GxWKj3rGL9p2LzXe346j2wCrKa5c7GM432NX39aZOPnqonhrQXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:38:12.159513Z"},"content_sha256":"e2921754f0e27d7eaa02751f94bddd9639d6c77c2ca849a2b1f3a00a49ad8253","schema_version":"1.0","event_id":"sha256:e2921754f0e27d7eaa02751f94bddd9639d6c77c2ca849a2b1f3a00a49ad8253"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5234YLWVOTYE44GFUE7CKJSEJ7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-trapped leaky waves in lattices: discrete and Bragg soleakons","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.optics"],"primary_cat":"nlin.PS","authors_text":"Maxim Kozlov, Ofer Kfir, Oren Cohen","submitted_at":"2013-01-03T07:00:05Z","abstract_excerpt":"We propose lattice soleakons: self-trapped waves that self-consistently populate leaky modes of their self-induced defects in periodic potentials. Two types, discrete and Bragg, lattice soleakons are predicted. Discrete soleakons that are supported by combination of self-focusing and self-defocusing nonlinearities propagate robustly for long propagation distances. They eventually abruptly disintegrate because they emit power to infinity at an increasing pace. In contrast, Bragg soleakons self-trap by only self-focusing, and they do not disintegrate because they emit power at a decreasing rate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0380","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":"2026-05-18T01:52:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uPCoYF3uqHM45KOpBl9E6NG2ysR6XkJCjFePD9imoJLSiHkkZbxfzoxCI4xTxQHGIm6cBI3Ftp/w3w7x6V8CCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:38:12.160115Z"},"content_sha256":"1fcf33c4a17235759627216f6ee538033600bcb75fac11ede32adef091f0d5f8","schema_version":"1.0","event_id":"sha256:1fcf33c4a17235759627216f6ee538033600bcb75fac11ede32adef091f0d5f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5234YLWVOTYE44GFUE7CKJSEJ7/bundle.json","state_url":"https://pith.science/pith/5234YLWVOTYE44GFUE7CKJSEJ7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5234YLWVOTYE44GFUE7CKJSEJ7/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":"2026-05-31T07:38:12Z","links":{"resolver":"https://pith.science/pith/5234YLWVOTYE44GFUE7CKJSEJ7","bundle":"https://pith.science/pith/5234YLWVOTYE44GFUE7CKJSEJ7/bundle.json","state":"https://pith.science/pith/5234YLWVOTYE44GFUE7CKJSEJ7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5234YLWVOTYE44GFUE7CKJSEJ7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5234YLWVOTYE44GFUE7CKJSEJ7","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":"45a6491c7402922ece15023d6b57d6fa6156365a1668f7ec3cc1edd9f6ff5df6","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-03T07:00:05Z","title_canon_sha256":"779b4a9355d77790ece98b1cdb4379aef4910dd7f5156786bc3a06eac7545c03"},"schema_version":"1.0","source":{"id":"1301.0380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0380","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0380v1","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0380","created_at":"2026-05-18T01:52:21Z"},{"alias_kind":"pith_short_12","alias_value":"5234YLWVOTYE","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5234YLWVOTYE44GF","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5234YLWV","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:1fcf33c4a17235759627216f6ee538033600bcb75fac11ede32adef091f0d5f8","target":"graph","created_at":"2026-05-18T01:52:21Z","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 propose lattice soleakons: self-trapped waves that self-consistently populate leaky modes of their self-induced defects in periodic potentials. Two types, discrete and Bragg, lattice soleakons are predicted. Discrete soleakons that are supported by combination of self-focusing and self-defocusing nonlinearities propagate robustly for long propagation distances. They eventually abruptly disintegrate because they emit power to infinity at an increasing pace. In contrast, Bragg soleakons self-trap by only self-focusing, and they do not disintegrate because they emit power at a decreasing rate.","authors_text":"Maxim Kozlov, Ofer Kfir, Oren Cohen","cross_cats":["physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-03T07:00:05Z","title":"Self-trapped leaky waves in lattices: discrete and Bragg soleakons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0380","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:e2921754f0e27d7eaa02751f94bddd9639d6c77c2ca849a2b1f3a00a49ad8253","target":"record","created_at":"2026-05-18T01:52:21Z","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":"45a6491c7402922ece15023d6b57d6fa6156365a1668f7ec3cc1edd9f6ff5df6","cross_cats_sorted":["physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2013-01-03T07:00:05Z","title_canon_sha256":"779b4a9355d77790ece98b1cdb4379aef4910dd7f5156786bc3a06eac7545c03"},"schema_version":"1.0","source":{"id":"1301.0380","kind":"arxiv","version":1}},"canonical_sha256":"eeb7cc2ed574f04e70c5a13e2526444ff74a2cbd06333097f51322d9decc2477","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eeb7cc2ed574f04e70c5a13e2526444ff74a2cbd06333097f51322d9decc2477","first_computed_at":"2026-05-18T01:52:21.994104Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:21.994104Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/sH4Mc03mbXDQyjgijdfcsxUjbGqVvJ3Pq7mWdkKjaWCpdCg6BRv6lHS/myzy39SR53JjtPfYXKGByuIl37uAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:21.994615Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e2921754f0e27d7eaa02751f94bddd9639d6c77c2ca849a2b1f3a00a49ad8253","sha256:1fcf33c4a17235759627216f6ee538033600bcb75fac11ede32adef091f0d5f8"],"state_sha256":"4c6c2fbb2f73ba898ece65918091617006e5d1b74fae6eabca8c754a57b2596f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TsGqyoiz84jY7jVXpwlbAlLr/LL74+CCBUf0t+T8gP0b6NivMzO7Ltp8ZtigHQmu5ZG/TXSg4sqKmL0nTuSYAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:38:12.164109Z","bundle_sha256":"47f1ba7c2a637e64c27d06f91098cdfff455a781ccf60fab730db7113b22585f"}}