{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:CZML6RTUCL7X6YVHA2TFCT54VQ","short_pith_number":"pith:CZML6RTU","canonical_record":{"source":{"id":"1511.00942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-03T15:22:55Z","cross_cats_sorted":[],"title_canon_sha256":"f147c0851b10d2d8fc2b0c490e21d660646de409edd6a9506f2534f08c96aa8a","abstract_canon_sha256":"ee68aabaaa9c56e2166c4b053997d69a0525ea5a469af156e44c76e931e82498"},"schema_version":"1.0"},"canonical_sha256":"1658bf467412ff7f62a706a6514fbcac25d9a59271f35f6d956c65cb5f749bb8","source":{"kind":"arxiv","id":"1511.00942","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00942","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00942v1","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00942","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"pith_short_12","alias_value":"CZML6RTUCL7X","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CZML6RTUCL7X6YVH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CZML6RTU","created_at":"2026-05-18T12:29:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:CZML6RTUCL7X6YVHA2TFCT54VQ","target":"record","payload":{"canonical_record":{"source":{"id":"1511.00942","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-03T15:22:55Z","cross_cats_sorted":[],"title_canon_sha256":"f147c0851b10d2d8fc2b0c490e21d660646de409edd6a9506f2534f08c96aa8a","abstract_canon_sha256":"ee68aabaaa9c56e2166c4b053997d69a0525ea5a469af156e44c76e931e82498"},"schema_version":"1.0"},"canonical_sha256":"1658bf467412ff7f62a706a6514fbcac25d9a59271f35f6d956c65cb5f749bb8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:55.796648Z","signature_b64":"Ne0ZXOC/4XLC52ucwuTdc+aAlGcAg+u3ociRHbQsfXd9dx/Ymk6v3BweGKxaV9zE7XxjvWqTu4K54uU7//wsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1658bf467412ff7f62a706a6514fbcac25d9a59271f35f6d956c65cb5f749bb8","last_reissued_at":"2026-05-18T01:27:55.795893Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:55.795893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.00942","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":"2026-05-18T01:27:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pLRWvEqqWlPfJuyWdp8GIaVbDm7EMm1z0w5lGeoRCdhLnclvX7E68BBgWPD5jr79+KABuQ0wVWqcDqtxfSDADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T10:55:35.652262Z"},"content_sha256":"555a94f21cb5eb3461f4d76b15398ee11c51c6973381679f6b1069111ccbbce5","schema_version":"1.0","event_id":"sha256:555a94f21cb5eb3461f4d76b15398ee11c51c6973381679f6b1069111ccbbce5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:CZML6RTUCL7X6YVHA2TFCT54VQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact diatomic Fermi-Pasta-Ulam-Tsingou solitary waves with optical band ripples at infinity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"J. Douglas Wright, Timothy E. Faver","submitted_at":"2015-11-03T15:22:55Z","abstract_excerpt":"We study the existence of solitary waves in a diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. For monatomic FPUT the traveling wave equations are a regular perturbation of the Korteweg-de Vries (KdV) equation's but, surprisingly, we find that for the diatomic lattice the traveling wave equations are a singular perturbation of KdV's. Using a method first developed by Beale to study traveling solutions for capillary-gravity waves we demonstrate that for wave speeds in slight excess of the lattice's speed of sound there exists nontrivial traveling wave solutions which are the superposition an e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00942","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":"2026-05-18T01:27:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1ycPHirz9wKQkds6Q9BByVBb8Hdx/Alrf3W0OzjyNcXDxOX2cReYxn6hQaaGJc3DupTXJkrUX1WpCX1WcK68DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T10:55:35.652627Z"},"content_sha256":"03762a04ea2d6566c86eb27dcc6f039f54b8301c0b75b27d765c7b93a2b56cf5","schema_version":"1.0","event_id":"sha256:03762a04ea2d6566c86eb27dcc6f039f54b8301c0b75b27d765c7b93a2b56cf5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CZML6RTUCL7X6YVHA2TFCT54VQ/bundle.json","state_url":"https://pith.science/pith/CZML6RTUCL7X6YVHA2TFCT54VQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CZML6RTUCL7X6YVHA2TFCT54VQ/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":"2026-07-01T10:55:35Z","links":{"resolver":"https://pith.science/pith/CZML6RTUCL7X6YVHA2TFCT54VQ","bundle":"https://pith.science/pith/CZML6RTUCL7X6YVHA2TFCT54VQ/bundle.json","state":"https://pith.science/pith/CZML6RTUCL7X6YVHA2TFCT54VQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CZML6RTUCL7X6YVHA2TFCT54VQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:CZML6RTUCL7X6YVHA2TFCT54VQ","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":"ee68aabaaa9c56e2166c4b053997d69a0525ea5a469af156e44c76e931e82498","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-03T15:22:55Z","title_canon_sha256":"f147c0851b10d2d8fc2b0c490e21d660646de409edd6a9506f2534f08c96aa8a"},"schema_version":"1.0","source":{"id":"1511.00942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.00942","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"arxiv_version","alias_value":"1511.00942v1","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.00942","created_at":"2026-05-18T01:27:55Z"},{"alias_kind":"pith_short_12","alias_value":"CZML6RTUCL7X","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"CZML6RTUCL7X6YVH","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"CZML6RTU","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:03762a04ea2d6566c86eb27dcc6f039f54b8301c0b75b27d765c7b93a2b56cf5","target":"graph","created_at":"2026-05-18T01:27:55Z","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 study the existence of solitary waves in a diatomic Fermi-Pasta-Ulam-Tsingou (FPUT) lattice. For monatomic FPUT the traveling wave equations are a regular perturbation of the Korteweg-de Vries (KdV) equation's but, surprisingly, we find that for the diatomic lattice the traveling wave equations are a singular perturbation of KdV's. Using a method first developed by Beale to study traveling solutions for capillary-gravity waves we demonstrate that for wave speeds in slight excess of the lattice's speed of sound there exists nontrivial traveling wave solutions which are the superposition an e","authors_text":"J. Douglas Wright, Timothy E. Faver","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-03T15:22:55Z","title":"Exact diatomic Fermi-Pasta-Ulam-Tsingou solitary waves with optical band ripples at infinity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.00942","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":"sha256:555a94f21cb5eb3461f4d76b15398ee11c51c6973381679f6b1069111ccbbce5","target":"record","created_at":"2026-05-18T01:27:55Z","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":"ee68aabaaa9c56e2166c4b053997d69a0525ea5a469af156e44c76e931e82498","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-11-03T15:22:55Z","title_canon_sha256":"f147c0851b10d2d8fc2b0c490e21d660646de409edd6a9506f2534f08c96aa8a"},"schema_version":"1.0","source":{"id":"1511.00942","kind":"arxiv","version":1}},"canonical_sha256":"1658bf467412ff7f62a706a6514fbcac25d9a59271f35f6d956c65cb5f749bb8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1658bf467412ff7f62a706a6514fbcac25d9a59271f35f6d956c65cb5f749bb8","first_computed_at":"2026-05-18T01:27:55.795893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:27:55.795893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ne0ZXOC/4XLC52ucwuTdc+aAlGcAg+u3ociRHbQsfXd9dx/Ymk6v3BweGKxaV9zE7XxjvWqTu4K54uU7//wsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:27:55.796648Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.00942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:555a94f21cb5eb3461f4d76b15398ee11c51c6973381679f6b1069111ccbbce5","sha256:03762a04ea2d6566c86eb27dcc6f039f54b8301c0b75b27d765c7b93a2b56cf5"],"state_sha256":"56aa679aebd470c35a424e32c64b1ee1cad503ee726b1ebb70def44fb597c614"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nBgHtf9OkCPTdQFO1MhvLBwfgP/UrtzcBafJUT/SURyPg6Fp6FjEmmUkMBgUgWvFrYpeteVi1qlBv4e9CVUKDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T10:55:35.654889Z","bundle_sha256":"9eca2f5a87aaf2db458488f721d167eaf904644e75017df08731831fc3da9a88"}}