{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WEXW6IA7NLDCO4DND7XW34LMEB","short_pith_number":"pith:WEXW6IA7","canonical_record":{"source":{"id":"1512.09322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-12-31T16:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"8f4e613341b4c9bb3ff106eb148000f703b2595ea9da549dd1281b5e2608fcd4","abstract_canon_sha256":"73f7bd5b935956b597cedcdb7d303fb21f0f5ac23d5032e0bd003d6ed0b1867b"},"schema_version":"1.0"},"canonical_sha256":"b12f6f201f6ac627706d1fef6df16c2051233ccd55ee254e60435a279da0c642","source":{"kind":"arxiv","id":"1512.09322","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.09322","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.09322v1","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.09322","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"WEXW6IA7NLDC","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WEXW6IA7NLDCO4DN","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WEXW6IA7","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WEXW6IA7NLDCO4DND7XW34LMEB","target":"record","payload":{"canonical_record":{"source":{"id":"1512.09322","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-12-31T16:38:31Z","cross_cats_sorted":[],"title_canon_sha256":"8f4e613341b4c9bb3ff106eb148000f703b2595ea9da549dd1281b5e2608fcd4","abstract_canon_sha256":"73f7bd5b935956b597cedcdb7d303fb21f0f5ac23d5032e0bd003d6ed0b1867b"},"schema_version":"1.0"},"canonical_sha256":"b12f6f201f6ac627706d1fef6df16c2051233ccd55ee254e60435a279da0c642","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:32.682836Z","signature_b64":"/w9hjbFTGOihqVwh5H38wIw1ghv7i+Xp7QMYkLMIBxNmnEnm23upVZUtYE7vHShkLQS1wfFTd8db9M5EdFvsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b12f6f201f6ac627706d1fef6df16c2051233ccd55ee254e60435a279da0c642","last_reissued_at":"2026-05-18T01:23:32.682248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:32.682248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1512.09322","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":"2026-05-18T01:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ljq1L7hh/pRM5i/V9hdYnr/yUBuvQ9xtmfstINEjnlXI/eGJ12pEgoy8v1K/egldQWkG7LHVgBZo0+dE6UJ1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T15:24:41.584449Z"},"content_sha256":"adcbc19a75bdd80051c3ea7d4075e1491bf09a5349a34051b85f9eb899c4e68f","schema_version":"1.0","event_id":"sha256:adcbc19a75bdd80051c3ea7d4075e1491bf09a5349a34051b85f9eb899c4e68f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WEXW6IA7NLDCO4DND7XW34LMEB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generalized Short Pulse Equation for Propagation of Few-Cycle Pulses in Metamaterials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Igor V. Kanattsikov, Monika E. Pietrzyk","submitted_at":"2015-12-31T16:38:31Z","abstract_excerpt":"We show that propagation of ultrashort (few-cycle) pulses in nonlinear Drude metamaterials with both electric and magnetic Kerr nonlinearities is described by coupled generalized Short Pulse Equations. The resulting system of equations generalizes to the case of metamaterials both the Short Pulse Equation and its vector generalizations which describe the few-cycle pulses in dielectric optical fibers beyond the slowly varying envelope approximation leading to the nonlinear Schroedinger equation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09322","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":"2026-05-18T01:23:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4bAP6hmR1IcmCKTEjn2ukA6TXAhgTNQZUSdeuE79vjr4jBWZ1zDLbXP1CbWRa9TpvWDc5iU8T+8+tOdVslX/DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T15:24:41.584789Z"},"content_sha256":"608d8be085b1c9a8dbf0f5320033a8b56fbe3a6c24c6ec2458d6b17b8ac5aeae","schema_version":"1.0","event_id":"sha256:608d8be085b1c9a8dbf0f5320033a8b56fbe3a6c24c6ec2458d6b17b8ac5aeae"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WEXW6IA7NLDCO4DND7XW34LMEB/bundle.json","state_url":"https://pith.science/pith/WEXW6IA7NLDCO4DND7XW34LMEB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WEXW6IA7NLDCO4DND7XW34LMEB/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":"2026-07-02T15:24:41Z","links":{"resolver":"https://pith.science/pith/WEXW6IA7NLDCO4DND7XW34LMEB","bundle":"https://pith.science/pith/WEXW6IA7NLDCO4DND7XW34LMEB/bundle.json","state":"https://pith.science/pith/WEXW6IA7NLDCO4DND7XW34LMEB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WEXW6IA7NLDCO4DND7XW34LMEB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WEXW6IA7NLDCO4DND7XW34LMEB","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":"73f7bd5b935956b597cedcdb7d303fb21f0f5ac23d5032e0bd003d6ed0b1867b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-12-31T16:38:31Z","title_canon_sha256":"8f4e613341b4c9bb3ff106eb148000f703b2595ea9da549dd1281b5e2608fcd4"},"schema_version":"1.0","source":{"id":"1512.09322","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.09322","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"arxiv_version","alias_value":"1512.09322v1","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.09322","created_at":"2026-05-18T01:23:32Z"},{"alias_kind":"pith_short_12","alias_value":"WEXW6IA7NLDC","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WEXW6IA7NLDCO4DN","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WEXW6IA7","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:608d8be085b1c9a8dbf0f5320033a8b56fbe3a6c24c6ec2458d6b17b8ac5aeae","target":"graph","created_at":"2026-05-18T01:23:32Z","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 show that propagation of ultrashort (few-cycle) pulses in nonlinear Drude metamaterials with both electric and magnetic Kerr nonlinearities is described by coupled generalized Short Pulse Equations. The resulting system of equations generalizes to the case of metamaterials both the Short Pulse Equation and its vector generalizations which describe the few-cycle pulses in dielectric optical fibers beyond the slowly varying envelope approximation leading to the nonlinear Schroedinger equation.","authors_text":"Igor V. Kanattsikov, Monika E. Pietrzyk","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-12-31T16:38:31Z","title":"Generalized Short Pulse Equation for Propagation of Few-Cycle Pulses in Metamaterials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.09322","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:adcbc19a75bdd80051c3ea7d4075e1491bf09a5349a34051b85f9eb899c4e68f","target":"record","created_at":"2026-05-18T01:23:32Z","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":"73f7bd5b935956b597cedcdb7d303fb21f0f5ac23d5032e0bd003d6ed0b1867b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2015-12-31T16:38:31Z","title_canon_sha256":"8f4e613341b4c9bb3ff106eb148000f703b2595ea9da549dd1281b5e2608fcd4"},"schema_version":"1.0","source":{"id":"1512.09322","kind":"arxiv","version":1}},"canonical_sha256":"b12f6f201f6ac627706d1fef6df16c2051233ccd55ee254e60435a279da0c642","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b12f6f201f6ac627706d1fef6df16c2051233ccd55ee254e60435a279da0c642","first_computed_at":"2026-05-18T01:23:32.682248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:32.682248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/w9hjbFTGOihqVwh5H38wIw1ghv7i+Xp7QMYkLMIBxNmnEnm23upVZUtYE7vHShkLQS1wfFTd8db9M5EdFvsDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:32.682836Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.09322","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:adcbc19a75bdd80051c3ea7d4075e1491bf09a5349a34051b85f9eb899c4e68f","sha256:608d8be085b1c9a8dbf0f5320033a8b56fbe3a6c24c6ec2458d6b17b8ac5aeae"],"state_sha256":"2abaeee7a62da4ac628047a780aea5777392bbd168eac801f915cd19ccfd72ff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gJozdYNT+0+de/ju+y67YCBEdXcQkm9X9hdoUIRGtpr6KF8S8+ltfDeGcGjeqmtK6y24vx/TaVzVxV+zXHWVBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T15:24:41.587676Z","bundle_sha256":"d01ec4b502940aa60f56b7b441ce77354e615600167af9e272f831aa210dfbce"}}