{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:B3ERSMSNC745GMBB5UJW6AMZNE","short_pith_number":"pith:B3ERSMSN","canonical_record":{"source":{"id":"1604.04416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-15T10:01:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4f23b99273040db1e116376adff784c3fc21fb679d0d3a8480260bfb141a4da0","abstract_canon_sha256":"17c3695cc5c672300cfbe4b205dc3514783bbbcf227568f535c4c6a819891073"},"schema_version":"1.0"},"canonical_sha256":"0ec919324d17f9d33021ed136f019969157319b2ce0564f6ea465ae8b2cb6ec3","source":{"kind":"arxiv","id":"1604.04416","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04416","created_at":"2026-05-18T00:40:33Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04416v1","created_at":"2026-05-18T00:40:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04416","created_at":"2026-05-18T00:40:33Z"},{"alias_kind":"pith_short_12","alias_value":"B3ERSMSNC745","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B3ERSMSNC745GMBB","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B3ERSMSN","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:B3ERSMSNC745GMBB5UJW6AMZNE","target":"record","payload":{"canonical_record":{"source":{"id":"1604.04416","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-15T10:01:13Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4f23b99273040db1e116376adff784c3fc21fb679d0d3a8480260bfb141a4da0","abstract_canon_sha256":"17c3695cc5c672300cfbe4b205dc3514783bbbcf227568f535c4c6a819891073"},"schema_version":"1.0"},"canonical_sha256":"0ec919324d17f9d33021ed136f019969157319b2ce0564f6ea465ae8b2cb6ec3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:33.662359Z","signature_b64":"AGT3guthANCeZa/enCWFjuBCKrNv6UGeAfScZn9CmgrVEqsePyZlilPX2AFr6pZ3xbi8gHgAkiS2D7X0ga06Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ec919324d17f9d33021ed136f019969157319b2ce0564f6ea465ae8b2cb6ec3","last_reissued_at":"2026-05-18T00:40:33.661603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:33.661603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.04416","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":"2026-05-18T00:40:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hPr1yaUoNgZESLZ3jvs9r08BvOJBXRVYzsfnxoOrIR7JbqGe4JZQiWb+45bc0j5Anz73A9CWn0AyfkuhTjkYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:34:14.329279Z"},"content_sha256":"34aa255885abcb5d4d036be80aa643eacc832b93dfae5ba41aa303770f729a34","schema_version":"1.0","event_id":"sha256:34aa255885abcb5d4d036be80aa643eacc832b93dfae5ba41aa303770f729a34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:B3ERSMSNC745GMBB5UJW6AMZNE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Plane-Wave Propagation in Extreme Magnetoelectric (EME) Media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"physics.optics","authors_text":"A. Favaro, A. Sihvola, I.V. Lindell","submitted_at":"2016-04-15T10:01:13Z","abstract_excerpt":"The extreme magnetoelectric medium (EME medium) is defined in terms of two medium dyadics, $\\alpha$, producing electric polarization by the magnetic field and $\\beta$, producing magnetic polarization by the electric field. Plane-wave propagation of time-harmonic fields of fixed finite frequency in the EME medium is studied. It is shown that (if $\\omega\\neq 0$) the dispersion equation has a cubic and homogeneous form, whence the wave vector $k$ is either zero or has arbitrary magnitude. In many cases there is no dispersion equation (\"NDE medium\") to restrict the wave vector in an EME medium. At"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04416","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":"2026-05-18T00:40:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A+3tSuERepNoDa8hmVZyzCB3sRQ3MxEWpHuEd/03WuynDhcF6DCpS2aPMoo6xoXRRZjLVKJFGwUZrpo7u6c2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T10:34:14.329675Z"},"content_sha256":"63d6333e19cffc0095fc3dc00230ce6218f564a0463076d8e89fa610986db788","schema_version":"1.0","event_id":"sha256:63d6333e19cffc0095fc3dc00230ce6218f564a0463076d8e89fa610986db788"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3ERSMSNC745GMBB5UJW6AMZNE/bundle.json","state_url":"https://pith.science/pith/B3ERSMSNC745GMBB5UJW6AMZNE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3ERSMSNC745GMBB5UJW6AMZNE/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":"2026-06-01T10:34:14Z","links":{"resolver":"https://pith.science/pith/B3ERSMSNC745GMBB5UJW6AMZNE","bundle":"https://pith.science/pith/B3ERSMSNC745GMBB5UJW6AMZNE/bundle.json","state":"https://pith.science/pith/B3ERSMSNC745GMBB5UJW6AMZNE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3ERSMSNC745GMBB5UJW6AMZNE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:B3ERSMSNC745GMBB5UJW6AMZNE","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":"17c3695cc5c672300cfbe4b205dc3514783bbbcf227568f535c4c6a819891073","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-15T10:01:13Z","title_canon_sha256":"4f23b99273040db1e116376adff784c3fc21fb679d0d3a8480260bfb141a4da0"},"schema_version":"1.0","source":{"id":"1604.04416","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04416","created_at":"2026-05-18T00:40:33Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04416v1","created_at":"2026-05-18T00:40:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04416","created_at":"2026-05-18T00:40:33Z"},{"alias_kind":"pith_short_12","alias_value":"B3ERSMSNC745","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"B3ERSMSNC745GMBB","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"B3ERSMSN","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:63d6333e19cffc0095fc3dc00230ce6218f564a0463076d8e89fa610986db788","target":"graph","created_at":"2026-05-18T00:40:33Z","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":"The extreme magnetoelectric medium (EME medium) is defined in terms of two medium dyadics, $\\alpha$, producing electric polarization by the magnetic field and $\\beta$, producing magnetic polarization by the electric field. Plane-wave propagation of time-harmonic fields of fixed finite frequency in the EME medium is studied. It is shown that (if $\\omega\\neq 0$) the dispersion equation has a cubic and homogeneous form, whence the wave vector $k$ is either zero or has arbitrary magnitude. In many cases there is no dispersion equation (\"NDE medium\") to restrict the wave vector in an EME medium. At","authors_text":"A. Favaro, A. Sihvola, I.V. Lindell","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-15T10:01:13Z","title":"Plane-Wave Propagation in Extreme Magnetoelectric (EME) Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04416","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":"sha256:34aa255885abcb5d4d036be80aa643eacc832b93dfae5ba41aa303770f729a34","target":"record","created_at":"2026-05-18T00:40:33Z","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":"17c3695cc5c672300cfbe4b205dc3514783bbbcf227568f535c4c6a819891073","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2016-04-15T10:01:13Z","title_canon_sha256":"4f23b99273040db1e116376adff784c3fc21fb679d0d3a8480260bfb141a4da0"},"schema_version":"1.0","source":{"id":"1604.04416","kind":"arxiv","version":1}},"canonical_sha256":"0ec919324d17f9d33021ed136f019969157319b2ce0564f6ea465ae8b2cb6ec3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ec919324d17f9d33021ed136f019969157319b2ce0564f6ea465ae8b2cb6ec3","first_computed_at":"2026-05-18T00:40:33.661603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:33.661603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AGT3guthANCeZa/enCWFjuBCKrNv6UGeAfScZn9CmgrVEqsePyZlilPX2AFr6pZ3xbi8gHgAkiS2D7X0ga06Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:33.662359Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04416","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34aa255885abcb5d4d036be80aa643eacc832b93dfae5ba41aa303770f729a34","sha256:63d6333e19cffc0095fc3dc00230ce6218f564a0463076d8e89fa610986db788"],"state_sha256":"2f3d40407f0886eb50f1afe3bc844282d6ef7e46957ba13dca4c839c1831841f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3MKrn0fHzJgC5ok5g9RwmcrurNu3VeJrTH7x4SVEesIUAZnxOJyp4ilacuAslN2cPoZ7Ugob34LUiwcWJQz4Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T10:34:14.331575Z","bundle_sha256":"6a8b435270a6938e6a92da2e675d5ef9c930304c7c1777f7a2ff34782fe880e2"}}