{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:7AP3MPE7X5FTRPOGKIHVAMB2WB","short_pith_number":"pith:7AP3MPE7","canonical_record":{"source":{"id":"cond-mat/9702032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-02-03T23:04:12Z","cross_cats_sorted":[],"title_canon_sha256":"7251a30d47d9866ef4b1795e037059b68a6fe1f294dc9c9cd007262eccdaa086","abstract_canon_sha256":"9f2e3673665f610a9cb9c9cb393b8f207aebd28e26c84d5341a4a9b1b25d7c87"},"schema_version":"1.0"},"canonical_sha256":"f81fb63c9fbf4b38bdc6520f50303ab061b563d34df83fff68aa809c7d3983ba","source":{"kind":"arxiv","id":"cond-mat/9702032","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9702032","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9702032v1","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9702032","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"pith_short_12","alias_value":"7AP3MPE7X5FT","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"7AP3MPE7X5FTRPOG","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"7AP3MPE7","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:7AP3MPE7X5FTRPOGKIHVAMB2WB","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9702032","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-02-03T23:04:12Z","cross_cats_sorted":[],"title_canon_sha256":"7251a30d47d9866ef4b1795e037059b68a6fe1f294dc9c9cd007262eccdaa086","abstract_canon_sha256":"9f2e3673665f610a9cb9c9cb393b8f207aebd28e26c84d5341a4a9b1b25d7c87"},"schema_version":"1.0"},"canonical_sha256":"f81fb63c9fbf4b38bdc6520f50303ab061b563d34df83fff68aa809c7d3983ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:08.645450Z","signature_b64":"7oDjcz+bDyfShEVtcew0la/9S9+iOpevAq8khYvt0slAY4+5XOoGXYIxjMSTFGMh++iyr/+Bx48ZkGdZ4WoZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f81fb63c9fbf4b38bdc6520f50303ab061b563d34df83fff68aa809c7d3983ba","last_reissued_at":"2026-05-18T01:07:08.644866Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:08.644866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9702032","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":"2026-05-18T01:07:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MUAUqwZ6UMHisZk40kgagm+m7yZuVD8CYDr8/yjHRUy32B6YUg1p8W3WWrqv72P//o5DuH7ejYCrzPmOpVIuCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:16:34.159135Z"},"content_sha256":"d749a478be2f16d5290f3e4d13de4411e3dd8df8c587df415ad378138673d7c9","schema_version":"1.0","event_id":"sha256:d749a478be2f16d5290f3e4d13de4411e3dd8df8c587df415ad378138673d7c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:7AP3MPE7X5FTRPOGKIHVAMB2WB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harmonic Solid Theory of Photoluminescence in the High Field Two-Dimensional Wigner Crystal","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"H.A. Fertig (Univ. of Kentucky), S. Das Sarma (Univ. of Maryland), S. Kodiyalam (Univ. of Maryland)","submitted_at":"1997-02-03T23:04:12Z","abstract_excerpt":"Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron systems, we calculate within the harmonic approximation and the time dependent perturbation theory the line shape of the photoluminescence spectrum corresponding to the recombination of an electron with a hole bound to an acceptor atom. The recombination process is modeled as a sudden perturbation of the Hamiltonian for the in-plane degrees of freedom of the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9702032","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":"2026-05-18T01:07:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bM1rlYVq3VAdpyHYSOHpQEzyDd5JeFKJVwXi4wX374PJgWE50nvBkWt8Qy1Q+do97kfBQjxEAfFjTTtoDVHiBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:16:34.159493Z"},"content_sha256":"e7e1eace92a2d3f35b0660d20b60b101a990bcce8d76540e7d95a85c3cc1d0fb","schema_version":"1.0","event_id":"sha256:e7e1eace92a2d3f35b0660d20b60b101a990bcce8d76540e7d95a85c3cc1d0fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7AP3MPE7X5FTRPOGKIHVAMB2WB/bundle.json","state_url":"https://pith.science/pith/7AP3MPE7X5FTRPOGKIHVAMB2WB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7AP3MPE7X5FTRPOGKIHVAMB2WB/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":"2026-06-02T15:16:34Z","links":{"resolver":"https://pith.science/pith/7AP3MPE7X5FTRPOGKIHVAMB2WB","bundle":"https://pith.science/pith/7AP3MPE7X5FTRPOGKIHVAMB2WB/bundle.json","state":"https://pith.science/pith/7AP3MPE7X5FTRPOGKIHVAMB2WB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7AP3MPE7X5FTRPOGKIHVAMB2WB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:7AP3MPE7X5FTRPOGKIHVAMB2WB","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":"9f2e3673665f610a9cb9c9cb393b8f207aebd28e26c84d5341a4a9b1b25d7c87","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-02-03T23:04:12Z","title_canon_sha256":"7251a30d47d9866ef4b1795e037059b68a6fe1f294dc9c9cd007262eccdaa086"},"schema_version":"1.0","source":{"id":"cond-mat/9702032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9702032","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9702032v1","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9702032","created_at":"2026-05-18T01:07:08Z"},{"alias_kind":"pith_short_12","alias_value":"7AP3MPE7X5FT","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"7AP3MPE7X5FTRPOG","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"7AP3MPE7","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:e7e1eace92a2d3f35b0660d20b60b101a990bcce8d76540e7d95a85c3cc1d0fb","target":"graph","created_at":"2026-05-18T01:07:08Z","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":"Motivated by recent experiments on radiative recombination of two-dimensional electrons in acceptor doped GaAs-AlGaAs heterojunctions as well as the success of a harmonic solid model in describing tunneling between two-dimensional electron systems, we calculate within the harmonic approximation and the time dependent perturbation theory the line shape of the photoluminescence spectrum corresponding to the recombination of an electron with a hole bound to an acceptor atom. The recombination process is modeled as a sudden perturbation of the Hamiltonian for the in-plane degrees of freedom of the","authors_text":"H.A. Fertig (Univ. of Kentucky), S. Das Sarma (Univ. of Maryland), S. Kodiyalam (Univ. of Maryland)","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-02-03T23:04:12Z","title":"Harmonic Solid Theory of Photoluminescence in the High Field Two-Dimensional Wigner Crystal"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9702032","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:d749a478be2f16d5290f3e4d13de4411e3dd8df8c587df415ad378138673d7c9","target":"record","created_at":"2026-05-18T01:07:08Z","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":"9f2e3673665f610a9cb9c9cb393b8f207aebd28e26c84d5341a4a9b1b25d7c87","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.str-el","submitted_at":"1997-02-03T23:04:12Z","title_canon_sha256":"7251a30d47d9866ef4b1795e037059b68a6fe1f294dc9c9cd007262eccdaa086"},"schema_version":"1.0","source":{"id":"cond-mat/9702032","kind":"arxiv","version":1}},"canonical_sha256":"f81fb63c9fbf4b38bdc6520f50303ab061b563d34df83fff68aa809c7d3983ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f81fb63c9fbf4b38bdc6520f50303ab061b563d34df83fff68aa809c7d3983ba","first_computed_at":"2026-05-18T01:07:08.644866Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:08.644866Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7oDjcz+bDyfShEVtcew0la/9S9+iOpevAq8khYvt0slAY4+5XOoGXYIxjMSTFGMh++iyr/+Bx48ZkGdZ4WoZBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:08.645450Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9702032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d749a478be2f16d5290f3e4d13de4411e3dd8df8c587df415ad378138673d7c9","sha256:e7e1eace92a2d3f35b0660d20b60b101a990bcce8d76540e7d95a85c3cc1d0fb"],"state_sha256":"d18313433bd4e18cc8af4f2e42f2dad181c93fc450eb025b68546c583bde7f61"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jzMEoBlUFFnj29zGlLuomJoOLOgYsj8nq3NOzMf/mC2To2tT6zq0LmSIl4cKB1b42lla1IxA/ztUzMUVgfCYAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:16:34.161514Z","bundle_sha256":"2229ec6f9cea3f6f1eaf3b36b2694873efd7338268b3d32e39ff398b5a9408b0"}}