{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:GYR7TPRVAO44OV5NFTKIG6P7Y2","short_pith_number":"pith:GYR7TPRV","canonical_record":{"source":{"id":"2607.13933","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-15T15:14:26Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"257f5fb2c508491a4eba9beb427a59ed4fe85fa9718d9ce2d451f092e2308680","abstract_canon_sha256":"7739bf08879ae52fc1dcd849e2d8b39782cf88fbb03c31841510932dc8962b83"},"schema_version":"1.0"},"canonical_sha256":"3623f9be3503b9c757ad2cd48379ffc69c943c2cfa8fafeb84e31eeb7b02466a","source":{"kind":"arxiv","id":"2607.13933","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13933","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13933v1","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13933","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"GYR7TPRVAO44","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"pith_short_16","alias_value":"GYR7TPRVAO44OV5N","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"pith_short_8","alias_value":"GYR7TPRV","created_at":"2026-07-16T01:23:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:GYR7TPRVAO44OV5NFTKIG6P7Y2","target":"record","payload":{"canonical_record":{"source":{"id":"2607.13933","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-15T15:14:26Z","cross_cats_sorted":["cond-mat.mes-hall"],"title_canon_sha256":"257f5fb2c508491a4eba9beb427a59ed4fe85fa9718d9ce2d451f092e2308680","abstract_canon_sha256":"7739bf08879ae52fc1dcd849e2d8b39782cf88fbb03c31841510932dc8962b83"},"schema_version":"1.0"},"canonical_sha256":"3623f9be3503b9c757ad2cd48379ffc69c943c2cfa8fafeb84e31eeb7b02466a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-16T01:23:14.605520Z","signature_b64":"sehI7/EE6gPdI6A7cPVCyJILq1M5sWMfeFRBvtOEnesPH6vS9f5a83XZ9Z2c0nhR0NPQCOR1s+3zyhPat8B9AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3623f9be3503b9c757ad2cd48379ffc69c943c2cfa8fafeb84e31eeb7b02466a","last_reissued_at":"2026-07-16T01:23:14.604694Z","signature_status":"signed_v1","first_computed_at":"2026-07-16T01:23:14.604694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.13933","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":"2026-07-16T01:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A/oM0s/WGyAAYSyrFecgrmbvX3MzAB8X/xL6HUahHpZ76PzAQL5cUNbX70dh6J3cnk4ZIFP1xuWrO+bmnhTTAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:43:01.980730Z"},"content_sha256":"686fee9d510e6e247e39c96401d9132eaa8829335f54e683cce1c6b302dbcda2","schema_version":"1.0","event_id":"sha256:686fee9d510e6e247e39c96401d9132eaa8829335f54e683cce1c6b302dbcda2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:GYR7TPRVAO44OV5NFTKIG6P7Y2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lecture Notes: The two-dimensional electron Wigner crystal -- What's old and what's new?","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.mes-hall"],"primary_cat":"cond-mat.str-el","authors_text":"Brian Skinner","submitted_at":"2026-07-15T15:14:26Z","abstract_excerpt":"These are lecture notes created for a short lecture series at the 2026 CTEQ Summer School at Penn State. They are written in a conversational and informal style. The goal of these notes is to introduce and review a smattering of old and new ideas about the Wigner crystal (the solid phase of the two-dimensional electron system) in the context of recent experiments. Particular emphasis is given to the semiclassical description of the Wigner crystal, its quantum melting transition, its spin order, and the ways in which the Wigner crystal can be modified by Berry curvature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13933","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.13933/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-16T01:23:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EUqj4KEq0ZBi4cwZQaDaSeZK61vTCBRqwHzutqw7Ciu5a0z5uyndtACmHcKqLzaQiALzHMeFYP8Pvo8vjX2vBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T01:43:01.981275Z"},"content_sha256":"09aab7c520c036b1f62c9ac725877bba417985131a911880ee1a35c2395d9de1","schema_version":"1.0","event_id":"sha256:09aab7c520c036b1f62c9ac725877bba417985131a911880ee1a35c2395d9de1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2/bundle.json","state_url":"https://pith.science/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2/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":"2026-08-04T01:43:01Z","links":{"resolver":"https://pith.science/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2","bundle":"https://pith.science/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2/bundle.json","state":"https://pith.science/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GYR7TPRVAO44OV5NFTKIG6P7Y2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:GYR7TPRVAO44OV5NFTKIG6P7Y2","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":"7739bf08879ae52fc1dcd849e2d8b39782cf88fbb03c31841510932dc8962b83","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-15T15:14:26Z","title_canon_sha256":"257f5fb2c508491a4eba9beb427a59ed4fe85fa9718d9ce2d451f092e2308680"},"schema_version":"1.0","source":{"id":"2607.13933","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.13933","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"arxiv_version","alias_value":"2607.13933v1","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.13933","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"pith_short_12","alias_value":"GYR7TPRVAO44","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"pith_short_16","alias_value":"GYR7TPRVAO44OV5N","created_at":"2026-07-16T01:23:14Z"},{"alias_kind":"pith_short_8","alias_value":"GYR7TPRV","created_at":"2026-07-16T01:23:14Z"}],"graph_snapshots":[{"event_id":"sha256:09aab7c520c036b1f62c9ac725877bba417985131a911880ee1a35c2395d9de1","target":"graph","created_at":"2026-07-16T01:23:14Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.13933/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"These are lecture notes created for a short lecture series at the 2026 CTEQ Summer School at Penn State. They are written in a conversational and informal style. The goal of these notes is to introduce and review a smattering of old and new ideas about the Wigner crystal (the solid phase of the two-dimensional electron system) in the context of recent experiments. Particular emphasis is given to the semiclassical description of the Wigner crystal, its quantum melting transition, its spin order, and the ways in which the Wigner crystal can be modified by Berry curvature.","authors_text":"Brian Skinner","cross_cats":["cond-mat.mes-hall"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-15T15:14:26Z","title":"Lecture Notes: The two-dimensional electron Wigner crystal -- What's old and what's new?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.13933","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":"sha256:686fee9d510e6e247e39c96401d9132eaa8829335f54e683cce1c6b302dbcda2","target":"record","created_at":"2026-07-16T01:23:14Z","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":"7739bf08879ae52fc1dcd849e2d8b39782cf88fbb03c31841510932dc8962b83","cross_cats_sorted":["cond-mat.mes-hall"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.str-el","submitted_at":"2026-07-15T15:14:26Z","title_canon_sha256":"257f5fb2c508491a4eba9beb427a59ed4fe85fa9718d9ce2d451f092e2308680"},"schema_version":"1.0","source":{"id":"2607.13933","kind":"arxiv","version":1}},"canonical_sha256":"3623f9be3503b9c757ad2cd48379ffc69c943c2cfa8fafeb84e31eeb7b02466a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3623f9be3503b9c757ad2cd48379ffc69c943c2cfa8fafeb84e31eeb7b02466a","first_computed_at":"2026-07-16T01:23:14.604694Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-16T01:23:14.604694Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sehI7/EE6gPdI6A7cPVCyJILq1M5sWMfeFRBvtOEnesPH6vS9f5a83XZ9Z2c0nhR0NPQCOR1s+3zyhPat8B9AQ==","signature_status":"signed_v1","signed_at":"2026-07-16T01:23:14.605520Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.13933","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:686fee9d510e6e247e39c96401d9132eaa8829335f54e683cce1c6b302dbcda2","sha256:09aab7c520c036b1f62c9ac725877bba417985131a911880ee1a35c2395d9de1"],"state_sha256":"d6f599c76cfa08b947f188fdfc6ca29ec79618049e59831ba210b772a0acbfa9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sNs952FEbxHhWZlyvImwC6VPBNtos6Q2fpeFnl45MtC1f7UTCnEHyFvC18GWUS6t2UzDJvstSVJRMUfeZgleCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T01:43:01.986511Z","bundle_sha256":"4e141883dfe71e4624cd5ad0daec8db3f99c60709b74f280453f1f89dacbbeb2"}}